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Saturday, February 10, 2024

Alliteration

From Wikipedia, the free encyclopedia

Alliteration is the repetition of syllable-initial consonant sounds between nearby words, or of syllable-initial vowels, if the syllables in question do not start with a consonant. It is often used as a literary device. An example is the quote "Out of doubt, out of dark to the day's rising" from Lord of the Rings.

Historical use

The word alliteration comes from the Latin word littera, meaning "letter of the alphabet". It was first coined in a Latin dialogue by the Italian humanist Giovanni Pontano in the 15th century.

Alliteration is used in the alliterative verse of Old English poems like Beowulf, Middle English poems like Sir Gawain and the Green Knight, Old Norse works like the Poetic Edda, and in Old High German, Old Saxon, and Old Irish. It was also used as an ornament to suggest connections between ideas in classical Latin, Greek, and Sanskrit poetry.

Today, alliteration is used poetically in various languages around the world, including Arabic, Irish, German, Mongolian, Hungarian, American Sign Language, Somali, Finnish, and Icelandic. It is also used in music lyrics, article titles in magazines and newspapers, and in advertisements, business names, comic strips, television shows, video games and in the dialogue and naming of cartoon characters.

Types of alliteration

There are several concepts to which the term alliteration is sometimes applied:

  1. Literary or poetic alliteration is often described as the repetition of identical initial consonant sounds in successive or closely associated syllables within a group of words. However, this is an oversimplification; there are several special cases that have to be taken into account:
    • Repetition of unstressed consonants does not count as alliteration. Only stressed syllables can alliterate (though "stressed" includes any syllable that counts as an upbeat in poetic meter, such as the syllable long in James Thomson's verse "Come . . . dragging the lazy languid line along".)
    • The repetition of syllable-initial vowels functions as alliteration, regardless of which vowels are used. This may be because such syllables start with a glottal stop.
    • In English (and in other Germanic languages), the consonant clusters sp-, st-, and sk- do not alliterate with one another or with s-. For example, spill alliterates with spit, sting with stick, skin with scandal, and sing with sleep, but those pairs do not alliterate with one another. In other consonant clusters the second consonant does not matter; for example, bring alliterates with blast and burn, or rather all three words alliterate with one another.
    • Alliteration may also refer to the use of different but similar consonants, often because the two sounds were identical in an earlier stage of the language. For example, Middle English poems sometimes alliterate z with s (both originally s), or hard g with soft (fricative) g (the latter represented in some cases by the letter yogh – ȝ – pronounced like the y in yarrow or the j in Jotunheim).
  2. Consonance is a broader literary device involving the repetition of consonant sounds at any point in a word (for example, coming home, hot foot). Alliteration can then be seen as a special case of consonance where the repeated consonant sound opens the stressed syllable.
  3. Head rhyme or initial rhyme involves the creation of alliterative phrases where each word literally starts with the same letter; for example, "humble house", "potential power play", "picture perfect", "money matters", "rocky road", or "quick question". A familiar example is "Peter Piper picked a peck of pickled peppers".
  4. Symmetrical alliteration is a specialized form of alliteration which demonstrates parallelism or chiasmus. In symmetrical alliteration with chiasmus, the phrase must have a pair of outside end words both starting with the same sound, and pairs of outside words also starting with matching sounds as one moves progressively closer to the centre. For example, with chiasmus: "rust brown blazers rule"; with parallelism: "what in earlier days had been drafts of volunteers were now droves of victims". Symmetrical alliteration with chiasmus resembles palindromes in its use of symmetry.

Examples of use

Poetry

Poets can call attention to certain words in a line of poetry by using alliteration. They can also use alliteration to create a pleasant, rhythmic effect. In the following poetic lines, notice how alliteration is used to emphasize words and to create rhythm:

  • "Give me the splendid silent sun with all his beams full-dazzling!' (Walt Whitman, "Give Me the Splendid Silent Sun")
  • "They all gazed and gazed upon this green stranger, / because everyone wondered what it could mean/ that a rider and his horse could be such a 'colour- / green as grass, and greener it seemed/ than green enamel glowing bright against gold". (232-236) (Sir Gawain and the Green Knight, translated by Bernard O'Donoghue.)
  • "Some papers like writers, some like wrappers. Are you a writer or a wrapper?" ("Paper I" by Carl Sandburg)

Alliteration can also add to the mood of a poem. If a poet repeats soft, melodious sounds, a calm or dignified mood can result. If harsh, hard sounds are repeated, on the other hand, the mood can become tense or excited. In this poem, alliteration of the s, l, and f sounds adds to a hushed, peaceful mood:

Examples from Alliterative Verse

  • "In the first age, the frogs dwelt / at peace in their pond: they paddled about ..." (Moralities by W.H. Auden)
  • "Holocaust, pentecost: what heaped heartbreak: / The tendrils of fire forthrightly tasting foundation to rooftree ..." (My Grandfather's Church Goes Up by Fred Chappell)
  • "Chestnuts fell in the charred season, / Fell finally, finding room / In air to open their old cases ..." (Another Reluctance by Annie Finch)
  • "Fresh-firecoal chestnut-falls; finches' wings; / Landscape plotted & pieced -- fold, fallow, & plough ..." (Pied Beauty by Gerard Manley Hopkins)
  • "Effortlessly at height hangs his still eye. / His wings hold all creation in a weightless quiet ..." (The Hawk in the Rain by Ted Hughes)
  • "As one who wanders into old workings, / Dazed by the noonday, desiring coolness, Has found retreat barred by fall of rockface ..." (As One Who Wanders into Old Workings by C. Day Lewis)
  • "We were talking of dragons, Tolkien and I / In a Berkshire bar. The big workman / Who had sat silent and sucked his pipe / All the evening, from his empty mug ..." (We Were Talking of Dragons by C.S. Lewis)
  • "We set up mast and sail on that swart ship / Bore sheep aboard her, and our bodies also / Heavy with weeping, so winds from sternward / Bore us out onward with bellying canvas ..." (Canto I by Ezra Pound)
  • "Out of doubt, out of dark to the day's rising / I came singing in the sun, sword unsheathing ..." (Eomer's Wrath by J.R.R. Tolkien)
  • "An axe angles from my neighbor's ashcan; / It is hell's handiwork, the wood not hickory, ..." (Junk by Richard Wilbur)
Gilbert and Sullivan's comic opera The Mikado contains a well-known example of alliterative lyrics:
"To sit in solemn silence in a dull, dark dock,
In a pestilential prison, with a lifelong lock,
Awaiting the sensation of a short, sharp shock,
From a cheap and chippy chopper on a big black block!"

Lines from Other Poems

Alliteration Combined with Rhyme

  • "Great Aunt Nellie and Brent Bernard who watch with wild wonder at the wide window as the beautiful birds begin to bite into the bountiful birdseed" ("Thank-You for the Thistle" by Dorie Thurston)
  • "Three grey geese in a green field grazing. Grey were the geese and green was the grazing." (From the nursery rhyme Three Grey Geese by Mother Goose)
  • "Betty Botter bought a bit of butter, but she said, this butter's bitter; if I put it in my batter, it will make my batter bitter, but a bit of better butter will make my bitter batter better..." (from the tongue-twister rhyme Betty Botter by Carolyn Wells)
  • "Peter Piper picked a peck of pickled peppers. If Peter Piper picked a peck of pickled peppers, where's the peck of pickled peppers Peter Piper picked?" (anonymous tongue-twister rhyme)

Music lyrics

  • "Helplessly Hoping" by Crosby, Stills, Nash & Young has rich alliteration in every verse.
  • "Mr. Tambourine Man" by Bob Dylan employs alliteration throughout the song, including the lines: "Yes, to dance beneath the diamond sky with one hand waving free / Silhouetted by the sea, circled by the circus sands."
  • "Mother Nature's Son" by The Beatles includes the line: "Swaying daisies sing a lazy song beneath the sun."
  • "Spieluhr" by Rammstein includes a spoken line: "Das kleine Herz stand still für Stunden" (eng. "The little heart stood still for hours).
  • "Fairyland Fanfare" by Falconer has a part that alliterates the "l" over 30 times: "Live the legend, live life all alone / Longing to linger in lore / Illuminating a lane / That leads you aloft / You're lost to the lunar lure / Leave the languish / Leave lanterns of lorn / Lend lacking lustre to lies / Liberate the laces / Of life for the lone / Lest lament yet alights“
  • "Werewolves of London" by Warren Zevon includes the line "Little old lady got mutilated late last night."

Rhetoric

Literary alliteration has been used in various spheres of public speaking and rhetoric. It can also be used as an artistic constraint in oratory to sway the audience to feel some type of urgency, or another emotional effect. For example, S sounds can imply danger or make the audience feel as if they are being deceived. Other sounds can likewise generate positive or negative responses. Alliteration serves to "intensify any attitude being signified".

An example is in John F. Kennedy's Inaugural Address, in which he uses alliteration 21 times. The last paragraph of his speech is given as an example here.

"Finally, whether you are citizens of America or citizens of the world, ask of us here the same high standards of strength and sacrifice which we ask of you. With a good conscience our only sure reward, with history the final judge of our deeds, let us go forth to lead the land we love, asking His blessing and His help, but knowing that here on Earth God's work must truly be our own." — John F. Kennedy

Examples of alliteration from public speeches

  • "I have a dream that my four little children will one day live in a nation where they will not be judged by the color of their skin but by the content of their character." — Martin Luther King Jr.
  • "We, the people, declare today that the most evident of truths—that all of us are created equal—is the star that guides us still; just as it guided our forebears through Seneca Falls, and Selma, and Stonewall; just as it guided all those men and women, sung and unsung, who left footprints along this great Mall, to hear a preacher say that we cannot walk alone; to hear a King proclaim that our individual freedom is inextricably bound to the freedom of every soul on Earth". — Barack Obama.
  • "And our nation itself is testimony to the love our veterans have had for it and for us. All for which America stands is safe today because brave men and women have been ready to face the fire at freedom's front." — Ronald Reagan, Vietnam Veterans Memorial Address.
  • "Four score and seven years ago our fathers brought forth on this continent a new nation, conceived in liberty, and dedicated to the proposition that all men are created equal". — Abraham Lincoln, Gettysburg Address.
  • "Patent portae; proficiscere!" ("The gates are open; depart!") — Cicero, In Catilinam 1.10.

Translation can lose the emphasis developed by this device. For example, in the accepted Greek text of Luke 10:41 the repetition and extension of initial sound are noted as Jesus doubles Martha's name and adds an alliterative description: Μάρθα Μάρθα μεριμνᾷς (Martha, Martha, merimnas). This is lost in the English NKJ and NRS translations "Martha, Martha, you are worried and distracted by many things."

Metaphor

From Wikipedia, the free encyclopedia
A political cartoon by illustrator S.D. Ehrhart in an 1894 Puck magazine shows a farm woman labeled "Democratic Party" sheltering from a tornado of political change.

A metaphor is a figure of speech that, for rhetorical effect, directly refers to one thing by mentioning another. It may provide (or obscure) clarity or identify hidden similarities between two different ideas.

Metaphors are often compared with other types of figurative language, such as antithesis, hyperbole, metonymy, and simile. One of the most commonly cited examples of a metaphor in English literature comes from the "All the world's a stage" monologue from As You Like It:

All the world's a stage,
And all the men and women merely players;
They have their exits and their entrances
And one man in his time plays many parts,
His Acts being seven ages. At first, the infant...
William Shakespeare, As You Like It, 2/7

This quotation expresses a metaphor because the world is not literally a stage, and most humans are not literally actors and actresses playing roles. By asserting that the world is a stage, Shakespeare uses points of comparison between the world and a stage to convey an understanding about the mechanics of the world and the behavior of the people within it.

In the ancient Hebrew psalms (around 1000 B.C.), one finds already vivid and poetic examples of metaphor such as, "The Lord is my rock, my fortress and my deliverer; my God is my rock, in whom I take refuge, my shield and the horn of my salvation, my stronghold" and "The Lord is my shepherd, I shall not want". Some recent linguistic theories view all language in essence as metaphorical.

The word metaphor itself is a metaphor, coming from a Greek term meaning "transference (of ownership)". The user of a metaphor alters the reference of the word, "carrying" it from one semantic "realm" to another. The new meaning of the word might be derived from an analogy between the two semantic realms, but also from other reasons such as the distortion of the semantic realm - for example in sarcasm.

Etymology

The English word metaphor derives from the 16th-century Old French word métaphore, which comes from the Latin metaphora, "carrying over", and in turn from the Greek μεταφορά (metaphorá), "transference (of ownership)", from μεταφέρω (metapherō), "to carry over", "to transfer" and that from μετά (meta), "behind", "along with", "across" + φέρω (pherō), "to bear", "to carry".

Parts of a metaphor

The Philosophy of Rhetoric (1936) by rhetorician I. A. Richards describes a metaphor as having two parts: the tenor and the vehicle. The tenor is the subject to which attributes are ascribed. The vehicle is the object whose attributes are borrowed. In the previous example, "the world" is compared to a stage, describing it with the attributes of "the stage"; "the world" is the tenor, and "a stage" is the vehicle; "men and women" is the secondary tenor, and "players" is the secondary vehicle.

Other writers employ the general terms 'ground' and 'figure' to denote the tenor and the vehicle. Cognitive linguistics uses the terms 'target' and 'source', respectively.

Psychologist Julian Jaynes coined the terms 'metaphrand' and 'metaphier', plus two new concepts, 'paraphrand' and 'paraphier'. 'Metaphrand' is equivalent to the metaphor-theory terms 'tenor', 'target', and 'ground'. 'Metaphier' is equivalent to the metaphor-theory terms 'vehicle', 'figure', and 'source'. In a simple metaphor, an obvious attribute of the metaphier exactly characterizes the metaphrand (e.g. the ship plowed the seas). With an inexact metaphor, however, a metaphier might have associated attributes or nuances – its paraphiers – that enrich the metaphor because they "project back" to the metaphrand, potentially creating new ideas – the paraphrands – associated thereafter with the metaphrand or even leading to a new metaphor. For example, in the metaphor "Pat is a tornado", the metaphrand is "Pat", the metaphier is "tornado". As metaphier, "tornado" carries paraphiers such as power, storm and wind, counterclockwise motion, and danger, threat, destruction, etc. The metaphoric meaning of "tornado" is inexact: one might understand that 'Pat is powerfully destructive' through the paraphrand of physical and emotional destruction; another person might understand the metaphor as 'Pat can spin out of control'. In the latter case, the paraphier of 'spinning motion' has become the paraphrand 'psychological spin', suggesting an entirely new metaphor for emotional unpredictability, a possibly apt description for a human being hardly applicable to a tornado. Based on his analysis, Jaynes claims that metaphors not only enhance description, but "increase enormously our powers of perception...and our understanding of [the world], and literally create new objects".

As a type of comparison

"The Asherah is part of a jigsaw in weaving together the feminine threads of a religious history that could be an important new breakthrough for women, she says." An example of mixed metaphor in print.

Metaphors are most frequently compared with similes. A metaphor asserts the objects in the comparison are identical on the point of comparison, while a simile merely asserts a similarity through use of words such as "like" or "as". For this reason a common-type metaphor is generally considered more forceful than a simile.

The metaphor category contains these specialized types:

  • Allegory: An extended metaphor wherein a story illustrates an important attribute of the subject.
  • Antithesis: A rhetorical contrast of ideas by means of parallel arrangements of words, clauses, or sentences.
  • Catachresis: A mixed metaphor, sometimes used by design and sometimes by accident (a rhetorical fault).
  • Hyperbole: Excessive exaggeration to illustrate a point.
  • Parable: An extended metaphor told as an anecdote to illustrate or teach a moral or spiritual lesson, such as in Aesop's fables or Jesus' teaching method as told in the Bible.
  • Pun: A verbal device by which multiple definitions of a word or its homophones are used to give a sentence multiple valid readings, typically to humorous effect.
  • Similitude: An extended simile or metaphor that has a picture part (Bildhälfte), a reality part (Sachhälfte), and a point of comparison (tertium comparationis). Similitudes are found in the parables of Jesus.

It is said that a metaphor is 'a condensed analogy' or 'analogical fusion' or that they 'operate in a similar fashion' or are 'based on the same mental process' or yet that 'the basic processes of analogy are at work in metaphor'. It is also pointed out that 'a border between metaphor and analogy is fuzzy' and 'the difference between them might be described (metaphorically) as the distance between things being compared'.

Metaphor vs metonymy

Metaphor is distinct from metonymy, both constituting two fundamental modes of thought. Metaphor works by bringing together concepts from different conceptual domains, whereas metonymy uses one element from a given domain to refer to another closely related element. A metaphor creates new links between otherwise distinct conceptual domains, whereas a metonymy relies on pre-existent links within them.

For example, in the phrase "lands belonging to the crown", the word "crown" is a metonymy because some monarchs do indeed wear a crown, physically. In other words, there is a pre-existent link between "crown" and "monarchy". On the other hand, when Ghil'ad Zuckermann argues that the Israeli language is a "phoenicuckoo cross with some magpie characteristics", he is using a metaphor. There is no physical link between a language and a bird. The reason the metaphors "phoenix" and "cuckoo" are used is that on the one hand hybridic "Israeli" is based on Hebrew, which, like a phoenix, rises from the ashes; and on the other hand, hybridic "Israeli" is based on Yiddish, which like a cuckoo, lays its egg in the nest of another bird, tricking it to believe that it is its own egg. Furthermore, the metaphor "magpie" is employed because, according to Zuckermann, hybridic "Israeli" displays the characteristics of a magpie, "stealing" from languages such as Arabic and English.

Subtypes

A dead metaphor is a metaphor in which the sense of a transferred image has become absent. The phrases "to grasp a concept" and "to gather what you've understood" use physical action as a metaphor for understanding. The audience does not need to visualize the action; dead metaphors normally go unnoticed. Some distinguish between a dead metaphor and a cliché. Others use "dead metaphor" to denote both.

A mixed metaphor is a metaphor that leaps from one identification to a second inconsistent with the first, e.g.:

I smell a rat [...] but I'll nip him in the bud" — Irish politician Boyle Roche

This form is often used as a parody of metaphor itself:

If we can hit that bull's-eye then the rest of the dominoes will fall like a house of cards... Checkmate.

— Futurama character Zapp Brannigan.

An extended metaphor, or conceit, sets up a principal subject with several subsidiary subjects or comparisons. In the above quote from As You Like It, the world is first described as a stage and then the subsidiary subjects men and women are further described in the same context.

An implicit metaphor has no specified tenor, although the vehicle is present. M. H. Abrams offers the following as an example of an implicit metaphor: "That reed was too frail to survive the storm of its sorrows". The reed is the vehicle for the implicit tenor, someone's death, and the "storm" is the vehicle for the person's "sorrows".

Metaphor can serve as a device for persuading an audience of the user's argument or thesis, the so-called rhetorical metaphor.

In rhetoric and literature

Aristotle writes in his work the Rhetoric that metaphors make learning pleasant: "To learn easily is naturally pleasant to all people, and words signify something, so whatever words create knowledge in us are the pleasantest." When discussing Aristotle's Rhetoric, Jan Garret stated "metaphor most brings about learning; for when [Homer] calls old age "stubble", he creates understanding and knowledge through the genus, since both old age and stubble are [species of the genus of] things that have lost their bloom." Metaphors, according to Aristotle, have "qualities of the exotic and the fascinating; but at the same time we recognize that strangers do not have the same rights as our fellow citizens".

Educational psychologist Andrew Ortony gives more explicit detail: "Metaphors are necessary as a communicative device because they allow the transfer of coherent chunks of characteristics -- perceptual, cognitive, emotional and experiential -- from a vehicle which is known to a topic which is less so. In so doing they circumvent the problem of specifying one by one each of the often unnameable and innumerable characteristics; they avoid discretizing the perceived continuity of experience and are thus closer to experience and consequently more vivid and memorable."

As style in speech and writing

As a characteristic of speech and writing, metaphors can serve the poetic imagination. This allows Sylvia Plath, in her poem "Cut", to compare the blood issuing from her cut thumb to the running of a million soldiers, "redcoats, every one"; and enabling Robert Frost, in "The Road Not Taken", to compare a life to a journey.

Metaphors can be implied and extended throughout pieces of literature.

Larger applications

Sonja K. Foss characterizes metaphors as "nonliteral comparisons in which a word or phrase from one domain of experience is applied to another domain". She argues that since reality is mediated by the language we use to describe it, the metaphors we use shape the world and our interactions to it.

A metaphorical visualization of the word anger

The term metaphor is used to describe more basic or general aspects of experience and cognition:

  • A cognitive metaphor is the association of object to an experience outside the object's environment
  • A conceptual metaphor is an underlying association that is systematic in both language and thought
  • A root metaphor is the underlying worldview that shapes an individual's understanding of a situation
  • A nonlinguistic metaphor is an association between two nonlinguistic realms of experience
  • A visual metaphor uses an image to create the link between different ideas

Conceptual metaphors

Some theorists have suggested that metaphors are not merely stylistic, but that they are cognitively important as well. In Metaphors We Live By, George Lakoff and Mark Johnson argue that metaphors are pervasive in everyday life, not just in language, but also in thought and action. A common definition of metaphor can be described as a comparison that shows how two things that are not alike in most ways are similar in another important way. They explain how a metaphor is simply understanding and experiencing one kind of thing in terms of another, called a "conduit metaphor". A speaker can put ideas or objects into containers, and then send them along a conduit to a listener who removes the object from the container to make meaning of it. Thus, communication is something that ideas go into, and the container is separate from the ideas themselves. Lakoff and Johnson give several examples of daily metaphors in use, including "argument is war" and "time is money". Metaphors are widely used in context to describe personal meaning. The authors suggest that communication can be viewed as a machine: "Communication is not what one does with the machine, but is the machine itself."

Experimental evidence shows that "priming" people with material from one area will influence how they perform tasks and interpret language in a metaphorically related area.

As a foundation of our conceptual system

Cognitive linguists emphasize that metaphors serve to facilitate the understanding of one conceptual domain—typically an abstraction such as "life", "theories" or "ideas"—through expressions that relate to another, more familiar conceptual domain—typically more concrete, such as "journey", "buildings" or "food". For example: we devour a book of raw facts, try to digest them, stew over them, let them simmer on the back-burner, regurgitate them in discussions, and cook up explanations, hoping they do not seem half-baked.

A convenient short-hand way of capturing this view of metaphor is the following: CONCEPTUAL DOMAIN (A) IS CONCEPTUAL DOMAIN (B), which is what is called a conceptual metaphor. A conceptual metaphor consists of two conceptual domains, in which one domain is understood in terms of another. A conceptual domain is any coherent organization of experience. For example, we have coherently organized knowledge about journeys that we rely on in understanding life.

Lakoff and Johnson greatly contributed to establishing the importance of conceptual metaphor as a framework for thinking in language, leading scholars to investigate the original ways in which writers used novel metaphors and question the fundamental frameworks of thinking in conceptual metaphors.

From a sociological, cultural, or philosophical perspective, one asks to what extent ideologies maintain and impose conceptual patterns of thought by introducing, supporting, and adapting fundamental patterns of thinking metaphorically. To what extent does the ideology fashion and refashion the idea of the nation as a container with borders? How are enemies and outsiders represented? As diseases? As attackers? How are the metaphoric paths of fate, destiny, history, and progress represented? As the opening of an eternal monumental moment (German fascism)? Or as the path to communism (in Russian or Czech for example)?

Some cognitive scholars have attempted to take on board the idea that different languages have evolved radically different concepts and conceptual metaphors, while others hold to the Sapir-Whorf hypothesis. German philologist Wilhelm von Humboldt contributed significantly to this debate on the relationship between culture, language, and linguistic communities. Humboldt remains, however, relatively unknown in English-speaking nations. Andrew Goatly, in "Washing the Brain", takes on board the dual problem of conceptual metaphor as a framework implicit in the language as a system and the way individuals and ideologies negotiate conceptual metaphors. Neural biological research suggests some metaphors are innate, as demonstrated by reduced metaphorical understanding in psychopathy.

James W. Underhill, in Creating Worldviews: Ideology, Metaphor & Language (Edinburgh UP), considers the way individual speech adopts and reinforces certain metaphoric paradigms. This involves a critique of both communist and fascist discourse. Underhill's studies are situated in Czech and German, which allows him to demonstrate the ways individuals are thinking both within and resisting the modes by which ideologies seek to appropriate key concepts such as "the people", "the state", "history", and "struggle".

Though metaphors can be considered to be "in" language, Underhill's chapter on French, English and ethnolinguistics demonstrates that we cannot conceive of language or languages in anything other than metaphoric terms.

Several other philosophers have embraced the view that metaphors may also be described as examples of a linguistic "category mistake" which have the potential of leading unsuspecting users into considerable obfuscation of thought within the realm of epistemology. Included among them is the Australian philosopher Colin Murray Turbayne. In his book "The Myth of Metaphor", Turbayne argues that the use of metaphor is an essential component within the context of any language system which claims to embody richness and depth of understanding. In addition, he clarifies the limitations associated with a literal interpretation of the mechanistic Cartesian and Newtonian depictions of the universe as little more than a "machine" - a concept which continues to underlie much of the scientific materialism which prevails in the modern Western world. He argues further that the philosophical concept of "substance" or "substratum" has limited meaning at best and that physicalist theories of the universe depend upon mechanistic metaphors which are drawn from deductive logic in the development of their hypotheses. By interpreting such metaphors literally, Turbayne argues that modern man has unknowingly fallen victim to only one of several metaphorical models of the universe which may be more beneficial in nature.

Nonlinguistic metaphors

Tombstone of a Jewish woman depicting broken candles, a visual metaphor of the end of life

Metaphors can map experience between two nonlinguistic realms. Musicologist Leonard B. Meyer demonstrated how purely rhythmic and harmonic events can express human emotions. It is an open question whether synesthesia experiences are a sensory version of metaphor, the "source" domain being the presented stimulus, such as a musical tone, and the target domain, being the experience in another modality, such as color.

Art theorist Robert Vischer argued that when we look at a painting, we "feel ourselves into it" by imagining our body in the posture of a nonhuman or inanimate object in the painting. For example, the painting The Lonely Tree by Caspar David Friedrich shows a tree with contorted, barren limbs. Looking at the painting, we imagine our limbs in a similarly contorted and barren shape, evoking a feeling of strain and distress. Nonlinguistic metaphors may be the foundation of our experience of visual and musical art, as well as dance and other art forms.

In historical linguistics

In historical onomasiology or in historical linguistics, a metaphor is defined as a semantic change based on a similarity in form or function between the original concept and the target concept named by a word.

For example, mouse: small, gray rodent with a long tailsmall, gray computer device with a long cord.

Some recent linguistic theories hold that language evolved from the capability of the brain to create metaphors that link actions and sensations to sounds.

Historical theories

Aristotle discusses the creation of metaphors at the end of his Poetics: "But the greatest thing by far is to be a master of metaphor. It is the one thing that cannot be learnt from others; and it is also a sign of genius, since a good metaphor implies an intuitive perception of the similarity in dissimilars."

Baroque literary theorist Emanuele Tesauro defines the metaphor "the most witty and acute, the most strange and marvelous, the most pleasant and useful, the most eloquent and fecund part of the human intellect". There is, he suggests, something divine in metaphor: the world itself is God's poem and metaphor is not just a literary or rhetorical figure but an analytic tool that can penetrate the mysteries of God and His creation.

Friedrich Nietzsche makes metaphor the conceptual center of his early theory of society in On Truth and Lies in the Non-Moral Sense. Some sociologists have found his essay useful for thinking about metaphors used in society and for reflecting on their own use of metaphor. Sociologists of religion note the importance of metaphor in religious worldviews, and that it is impossible to think sociologically about religion without metaphor.

Friday, February 9, 2024

Analogy

From Wikipedia, the free encyclopedia

Analogy is a comparison or correspondence between two things (or two groups of things) because of a third element that they are considered to share.

In logic, it is an inference or an argument from one particular to another particular, as opposed to deduction, induction, and abduction. It is also used of where at least one of the premises, or the conclusion, is general rather than particular in nature. It has the general form A is to B as C is to D.

In a broader sense, analogical reasoning is a cognitive process of transferring some information or meaning of a particular subject (the analog, or source) onto another (the target); and also the linguistic expression corresponding to such a process. The term analogy can also refer to the relation between the source and the target themselves, which is often (though not always) a similarity, as in the biological notion of analogy.

Ernest Rutherford's model of the atom (modified by Niels Bohr) made an analogy between the atom and the Solar System.

Analogy plays a significant role in human thought processes. It has been argued that analogy lies at "the core of cognition".

Etymology

The English word analogy derives from the Latin analogia, itself derived from the Greek ἀναλογία, "proportion", from ana- "upon, according to" [also "again", "anew"] + logos "ratio" [also "word, speech, reckoning"].

Models and theories

Analogy plays a significant role in problem solving, as well as decision making, argumentation, perception, generalization, memory, creativity, invention, prediction, emotion, explanation, conceptualization and communication. It lies behind basic tasks such as the identification of places, objects and people, for example, in face perception and facial recognition systems. Hofstadter has argued that analogy is "the core of cognition".

An analogy is not a figure of speech but a kind of thought. Specific analogical language uses exemplification, comparisons, metaphors, similes, allegories, and parables, but not metonymy. Phrases like and so on, and the like, as if, and the very word like also rely on an analogical understanding by the receiver of a message including them. Analogy is important not only in ordinary language and common sense (where proverbs and idioms give many examples of its application) but also in science, philosophy, law and the humanities.

The concepts of association, comparison, correspondence, mathematical and morphological homology, homomorphism, iconicity, isomorphism, metaphor, resemblance, and similarity are closely related to analogy. In cognitive linguistics, the notion of conceptual metaphor may be equivalent to that of analogy. Analogy is also a basis for any comparative arguments as well as experiments whose results are transmitted to objects that have been not under examination (e.g., experiments on rats when results are applied to humans).

Analogy has been studied and discussed since classical antiquity by philosophers, scientists, theologists and lawyers. The last few decades have shown a renewed interest in analogy, most notably in cognitive science.

Development

  • Aristotle identified analogy in works such as Metaphysics and Nicomachean Ethics
  • Roman lawyers used analogical reasoning and the Greek word analogia.
  • In Islamic logic, analogical reasoning was used for the process of qiyas in Islamic sharia law and fiqh jurisprudence.
  • Medieval lawyers distinguished analogia legis and analogia iuris (see below).
  • The Middle Ages saw an increased use and theorization of analogy.
  • In Christian scholastic theology, analogical arguments were accepted in order to explain the attributes of God.
    • Aquinas made a distinction between equivocal, univocal and analogical terms, the last being those like healthy that have different but related meanings. Not only a person can be "healthy", but also the food that is good for health (see the contemporary distinction between polysemy and homonymy).
    • Thomas Cajetan wrote an influential treatise on analogy. In all of these cases, the wide Platonic and Aristotelian notion of analogy was preserved.

Cajetan named several kinds of analogy that had been used but previously unnamed, particularly: 

  • Analogy of attribution (analogia attributionis) or improper proportionality, e.g., "This food is healthy."
  • Analogy of proportionality (analogia proportionalitatis) or proper proportionality, e.g., "2 is to 1 as 4 is to 2", or "the goodness of humans is relative to their essence as the goodness of God is relative to God's essence."
  • Metaphor, e.g., steely determination.

Identity of relation

In ancient Greek the word αναλογια (analogia) originally meant proportionality, in the mathematical sense, and it was indeed sometimes translated to Latin as proportio. Analogy was understood as identity of relation between any two ordered pairs, whether of mathematical nature or not.

Analogy and abstraction are different cognitive processes, and analogy is often an easier one. This analogy is not comparing all the properties between a hand and a foot, but rather comparing the relationship between a hand and its palm to a foot and its sole. While a hand and a foot have many dissimilarities, the analogy focuses on their similarity in having an inner surface.

The same notion of analogy was used in the US-based SAT college admission tests, that included "analogy questions" in the form "A is to B as C is to what?" For example, "Hand is to palm as foot is to ____?" These questions were usually given in the Aristotelian format: HAND : PALM : : FOOT : ____ While most competent English speakers will immediately give the right answer to the analogy question (sole), it is more difficult to identify and describe the exact relation that holds both between pairs such as hand and palm, and between foot and sole. This relation is not apparent in some lexical definitions of palm and sole, where the former is defined as the inner surface of the hand, and the latter as the underside of the foot.

Kant's Critique of Judgment held to this notion of analogy, arguing that there can be exactly the same relation between two completely different objects.

Shared abstraction

In several cultures, the Sun is the source of an analogy to God.

Greek philosophers such as Plato and Aristotle used a wider notion of analogy. They saw analogy as a shared abstraction. Analogous objects did not share necessarily a relation, but also an idea, a pattern, a regularity, an attribute, an effect or a philosophy. These authors also accepted that comparisons, metaphors and "images" (allegories) could be used as arguments, and sometimes they called them analogies. Analogies should also make those abstractions easier to understand and give confidence to those who use them.

James Francis Ross in Portraying Analogy (1982), the first substantive examination of the topic since Cajetan's De Nominum Analogia, demonstrated that analogy is a systematic and universal feature of natural languages, with identifiable and law-like characteristics which explain how the meanings of words in a sentence are interdependent.

Special case of induction

On the contrary, Ibn Taymiyya,[11][12][13] Francis Bacon and later John Stuart Mill argued that analogy is simply a special case of induction.[10] In their view analogy is an inductive inference from common known attributes to another probable common attribute, which is known about only in the source of the analogy, in the following form:

Premises
a is C, D, E, F, G
b is C, D, E, F
Conclusion
b is probably G.

Shared structure

According to Shelley (2003), the study of the coelacanth drew heavily on analogies from other fish.

Contemporary cognitive scientists use a wide notion of analogy, extensionally close to that of Plato and Aristotle, but framed by Gentner's (1983) structure mapping theory. The same idea of mapping between source and target is used by conceptual metaphor and conceptual blending theorists. Structure mapping theory concerns both psychology and computer science. According to this view, analogy depends on the mapping or alignment of the elements of source and target. The mapping takes place not only between objects, but also between relations of objects and between relations of relations. The whole mapping yields the assignment of a predicate or a relation to the target. Structure mapping theory has been applied and has found considerable confirmation in psychology. It has had reasonable success in computer science and artificial intelligence (see below). Some studies extended the approach to specific subjects, such as metaphor and similarity.

Applications and types

Logic

Logicians analyze how analogical reasoning is used in arguments from analogy.

An analogy can be stated using is to and as when representing the analogous relationship between two pairs of expressions, for example, "Smile is to mouth, as wink is to eye." In the field of mathematics and logic, this can be formalized with colon notation to represent the relationships, using single colon for ratio, and double colon for equality.

In the field of testing, the colon notation of ratios and equality is often borrowed, so that the example above might be rendered, "Smile : mouth :: wink : eye" and pronounced the same way.

Linguistics

  • An analogy can be the linguistic process that reduces word forms thought to break rules to more common forms that follow these rules. For example, the English verb help once had the preterite (simple past tense in English) holp and the past participle holpen. These old-fashioned forms have been discarded and replaced by helped by using the power of analogy (or by applying the more frequently used Verb-ed rule.) This is called morphological leveling. Analogies can sometimes create rule-breaking forms; one example is the American English past tense form of dive: dove, formed on analogy with words such as drive: drove.
  • Neologisms can also be formed by analogy with existing words. A good example is software, formed by analogy with hardware; other analogous neologisms such as firmware and vapourware have followed. Another example is the humorous term underwhelm, formed by analogy with overwhelm.
  • Some people present analogy as an alternative to generative rules for explaining the productive formation of structures such as words. Others argue that they are in fact the same and that rules are analogies that have essentially become standard parts of the linguistic system, whereas clearer cases of analogy have simply not (yet) done so (e.g. Langacker 1987.445–447). This view agrees with the current views of analogy in cognitive science which are discussed above.

Analogy is also a term used in the Neogrammarian school of thought as a catch-all to describe any morphological change in a language that cannot be explained merely sound change or borrowing.

Science

Analogies are mainly used as a means of creating new ideas and hypotheses, or testing them, which is called a heuristic function of analogical reasoning.

Analogical arguments can also be probative, meaning that they serve as a means of proving the rightness of particular theses and theories. This application of analogical reasoning in science is debatable. Analogy can help prove important theories, especially in those kinds of science in which logical or empirical proof is not possible such as theology, philosophy or cosmology when it relates to those areas of the cosmos (the universe) that are beyond any data-based observation and knowledge about them stems from the human insight and thinking outside the senses.

Analogy can be used in theoretical and applied sciences in the form of models or simulations which can be considered as strong indications of probable correctness. Other, much weaker, analogies may also assist in understanding and describing nuanced or key functional behaviours of systems that are otherwise difficult to grasp or prove. For instance, an analogy used in physics textbooks compares electrical circuits to hydraulic circuits. Another example is the analogue ear based on electrical, electronic or mechanical devices.

Mathematics

Some types of analogies can have a precise mathematical formulation through the concept of isomorphism. In detail, this means that if two mathematical structures are of the same type, an analogy between them can be thought of as a bijection which preserves some or all of the relevant structure. For example, and are isomorphic as vector spaces, but the complex numbers, , have more structure than does: is a field as well as a vector space.

Category theory takes the idea of mathematical analogy much further with the concept of functors. Given two categories C and D, a functor f from C to D can be thought of as an analogy between C and D, because f has to map objects of C to objects of D and arrows of C to arrows of D in such a way that the structure of their respective parts is preserved. This is similar to the structure mapping theory of analogy of Dedre Gentner, because it formalises the idea of analogy as a function which makes certain conditions true.

Artificial intelligence

A computer algorithm has achieved human-level performance on multiple-choice analogy questions from the SAT test. The algorithm measures the similarity of relations between pairs of words (e.g., the similarity between the pairs HAND:PALM and FOOT:SOLE) by statistically analysing a large collection of text. It answers SAT questions by selecting the choice with the highest relational similarity.

The analogical reasoning in the human mind is free of the false inferences plaguing conventional artificial intelligence models, (called systematicity). Steven Phillips and William H. Wilson use category theory to mathematically demonstrate how such reasoning could arise naturally by using relationships between the internal arrows that keep the internal structures of the categories rather than the mere relationships between the objects (called "representational states"). Thus, the mind, and more intelligent AIs, may use analogies between domains whose internal structures transform naturally and reject those that do not.

Keith Holyoak and Paul Thagard (1997) developed their multiconstraint theory within structure mapping theory. They defend that the "coherence" of an analogy depends on structural consistency, semantic similarity and purpose. Structural consistency is the highest when the analogy is an isomorphism, although lower levels can be used as well. Similarity demands that the mapping connects similar elements and relationships between source and target, at any level of abstraction. It is the highest when there are identical relations and when connected elements have many identical attributes. An analogy achieves its purpose if it helps solve the problem at hand. The multiconstraint theory faces some difficulties when there are multiple sources, but these can be overcome. Hummel and Holyoak (2005) recast the multiconstraint theory within a neural network architecture. A problem for the multiconstraint theory arises from its concept of similarity, which, in this respect, is not obviously different from analogy itself. Computer applications demand that there are some identical attributes or relations at some level of abstraction. The model was extended (Doumas, Hummel, and Sandhofer, 2008) to learn relations from unstructured examples (providing the only current account of how symbolic representations can be learned from examples).

Mark Keane and Brayshaw (1988) developed their Incremental Analogy Machine (IAM) to include working memory constraints as well as structural, semantic and pragmatic constraints, so that a subset of the base analogue is selected and mapping from base to target occurs in series. Empirical evidence shows that humans are better at using and creating analogies when the information is presented in an order where an item and its analogue are placed together.

Eqaan Doug and his team challenged the shared structure theory and mostly its applications in computer science. They argue that there is no clear line between perception, including high-level perception, and analogical thinking. In fact, analogy occurs not only after, but also before and at the same time as high-level perception. In high-level perception, humans make representations by selecting relevant information from low-level stimuli. Perception is necessary for analogy, but analogy is also necessary for high-level perception. Chalmers et al. concludes that analogy actually is high-level perception. Forbus et al. (1998) claim that this is only a metaphor. It has been argued (Morrison and Dietrich 1995) that Hofstadter's and Gentner's groups do not defend opposite views, but are instead dealing with different aspects of analogy.

Anatomy

In anatomy, two anatomical structures are considered to be analogous when they serve similar functions but are not evolutionarily related, such as the legs of vertebrates and the legs of insects. Analogous structures are the result of independent evolution and should be contrasted with structures which shared an evolutionary line.

Engineering

Often a physical prototype is built to model and represent some other physical object. For example, wind tunnels are used to test scale models of wings and aircraft which are analogous to (correspond to) full-size wings and aircraft.

For example, the MONIAC (an analogue computer) used the flow of water in its pipes as an analogue to the flow of money in an economy.

Cybernetics

Where two or more biological or physical participants meet, they communicate and the stresses produced describe internal models of the participants. Pask in his conversation theory asserts an analogy that describes both similarities and differences between any pair of the participants' internal models or concepts exists.

History

In historical science, comparative historical analysis often uses the concept of analogy and analogical reasoning. Recent methods involving calculation operate on large document archives, allowing for analogical or corresponding terms from the past to be found as a response to random questions by users (e.g., Myanmar - Burma) and explained.

Morality

Analogical reasoning plays a very important part in morality. This may be because morality is supposed to be impartial and fair. If it is wrong to do something in a situation A, and situation B corresponds to A in all related features, then it is also wrong to perform that action in situation B. Moral particularism accepts such reasoning, instead of deduction and induction, since only the first can be used regardless of any moral principles.

Psychology

Structure mapping theory

Structure mapping, originally proposed by Dedre Gentner, is a theory in psychology that describes the psychological processes involved in reasoning through, and learning from, analogies. More specifically, this theory aims to describe how familiar knowledge, or knowledge about a base domain, can be used to inform an individual's understanding of a less familiar idea, or a target domain. According to this theory, individuals view their knowledge of ideas, or domains, as interconnected structures. In other words, a domain is viewed as consisting of objects, their properties, and the relationships that characterise their interactions. The process of analogy then involves:

  1. Recognising similar structures between the base and target domains.
  2. Finding deeper similarities by mapping other relationships of a base domain to the target domain.
  3. Cross-checking those findings against existing knowledge of the target domain.

In general, it has been found that people prefer analogies where the two systems correspond highly to each other (e.g. have similar relationships across the domains as opposed to just having similar objects across domains) when these people try to compare and contrast the systems. This is also known as the systematicity principle.

An example that has been used to illustrate structure mapping theory comes from Gentner and Gentner (1983) and uses the base domain of flowing water and the target domain of electricity. In a system of flowing water, the water is carried through pipes and the rate of water flow is determined by the pressure of the water towers or hills. This relationship corresponds to that of electricity flowing through a circuit. In a circuit, the electricity is carried through wires and the current, or rate of flow of electricity, is determined by the voltage, or electrical pressure. Given the similarity in structure, or structural alignment, between these domains, structure mapping theory would predict that relationships from one of these domains, would be inferred in the other using analogy.

Children

Children do not always need prompting to make comparisons in order to learn abstract relationships. Eventually, children undergo a relational shift, after which they begin seeing similar relations across different situations instead of merely looking at matching objects. This is critical in their cognitive development as continuing to focus on specific objects would reduce children's ability to learn abstract patterns and reason analogically. Interestingly, some researchers have proposed that children's basic brain functions (i.e., working memory and inhibitory control) do not drive this relational shift. Instead, it is driven by their relational knowledge, such as having labels for the objects that make the relationships clearer(see previous section). However, there is not enough evidence to determine whether the relational shift is actually because basic brain functions become better or relational knowledge becomes deeper.

Additionally, research has identified several factors that may increase the likelihood that a child may spontaneously engage in comparison and learn an abstract relationship, without the need for prompts. Comparison is more likely when the objects to be compared are close together in space and/or time,  are highly similar (although not so similar that they match, which interfere with identifying relationships), or share common labels.

Law

In law, analogy is primarily used to resolve issues on which there is no previous authority. A distinction can be made between analogical reasoning employed in statutory law and analogical reasoning present in precedential law (case law).

Statutory

In statutory law analogy is used in order to fill the so-called lacunas, gaps or loopholes.

  • A gap arises when a specific case or legal issue is not clearly dealt with in written law. Then, one may identify a provision required by law which covers the cases that are similar to the case at hand and apply this provision to this case by analogy. Such a gap, in civil law countries, is referred to as a gap extra legem (outside of the law), while analogy which closes it is termed analogy extra legem (outside of the law). The very case at hand is named: an unprovided case.
  • A second gap comes into being when there is a law-controlled provision which applies to the case at hand but this provision leads in this case to an unwanted outcome. Then, one may try to find another law-controlled provision that covers cases similar to the case at hand, using analogy to act upon this provision instead of the provision that applies to it directly. This kind of gap is called a gap contra legem (against the law), while analogy which fills this gap is referred to as analogy contra legem (against the law).
  • A third gap occurs where a law-controlled provision regulates the case at hand, but is unclear or ambiguous. In such circumstances, to decide the case at hand, one may try to find out what this provision means by relying on law-controlled provisions which address cases that are similar to the case at hand or other cases that are regulated by this unclear/ambiguous provision for help. A gap of this type is named gap intra legem (within the law) and analogy which deals with it is referred to as analogy intra legem (within the law). In Equity, the expression infra legem is used (below the law).

The similarity upon which law-controlled analogy depends on may depend on the resemblance of raw facts of the cases being compared, the purpose (the so-called ratio legis which is generally the will of the legislature) of a law-controlled provision which is applied by analogy or some other sources.

Law-controlled analogy may be also based upon more than one statutory provision or even a spirit of law. In the latter case, it is called analogia iuris (from the law in general) as opposed to analogia legis (from a specific legal provision or provisions).

Case

In case law (precedential law), analogies can be drawn from precedent cases. The judge who decides the case at hand may find that the facts of this case are similar to the facts of one of the prior cases to an extent that the outcomes of these cases are treated as the same or similar: stare decesis. Such use of analogy in precedential law is related or connected to the so-called cases of first impression in name, i.e. the cases which have not been regulated by any binding judge's precedent (are not covered by a precedential rule of such a precedent).

Reasoning from (dis)analogy is also sufficiently employed, while a judge is distinguishing a precedent. That is, upon the discerned differences between the case at hand and the precedential case, a judge rejects to decide the case upon the precedent whose precedential rule embraces the case at hand.

There is also much room for some other uses of analogy in precedential law. One of them is resort to analogical reasoning, while resolving the conflict between two or more precedents which all apply to the case at hand despite dictating different legal outcomes for that case. Analogy can also take part in verifying the contents of ratio decidendi, deciding upon precedents that have become irrelevant or quoting precedents form other jurisdictions. It is visible in legal Education, notably in the US (the so-called 'case method').

Restrictions and Civil Law

The law of every jurisdiction is different. In legal matters, sometimes the use of analogy is forbidden (by the very law or common agreement between judges and scholars): the most common instances concern criminal, international, administrative and tax law, especially in jurisdictions which do not have a common law system. For example:

  • Analogy should not be resorted to in criminal matters whenever its outcome would be unfavorable to the accused or suspect. Such a ban finds its footing in the principle: "nullum crimen, nulla poena sine lege", which is understood in the way that there is no crime (punishment) unless it is plainly provided for in a law-controlled provision or an already existing judicial precedent.
  • Analogy should be applied with caution in the domain of tax law. Here, the principle: "nullum tributum sine lege" justifies a general ban on the usage of analogy that would lead to an increase in taxation or whose results would – for some other reason – be harmful to the interests of taxpayers.
  • Extending by analogy those provisions of administrative law that restrict human rights and the rights of the citizens (particularly the category of the so-called "individual rights" or "basic rights") is prohibited in many jurisdictions. Analogy generally should also not be resorted to in order to make the citizen's burdens and obligations larger.
  • The other limitations on the use of analogy in law, among many others, apply to:
    • the analogical extension of statutory provisions that involve exceptions to more general law-controlled regulation or provisions (this restriction flows from the well-known, especially in civil law continental legal systems, Latin maxims: "exceptiones non sunt excendentae", "exception est strictissimae interpretationis" and "singularia non sunt extendenda")
    • the usage of an analogical argument with regard to those law-controlled provisions which comprise lists (enumerations)
    • extending by analogy those law-controlled provisions that give the impression that the Legislator intended to regulate some issues in an exclusive (exhaustive) manner (such a manner is especially implied when the wording of a given statutory provision involves such pointers as: "only", "exclusively", "solely", "always", "never") or which have a plain precise meaning.

In civil law jurisdictions, analogy may be permitted or required by law. But also in this branch of law there are some restrictions confining the possible scope of the use of an analogical argument. Such is, for instance, the prohibition to use analogy in relation to provisions regarding time limits or a general ban on the recourse to analogical arguments which lead to extension of those statutory provisions which envisage some obligations or burdens or which order (mandate) something. The other examples concern the usage of analogy in the field of property law, especially when one is going to create some new property rights by it or to extend these statutory provisions whose terms are unambiguous (unequivocal) and plain (clear), e.g.: be of or under a certain age.

Teaching strategies

Analogies as defined in rhetoric are a comparison between words, but an analogy more generally can also be used to illustrate and teach. To enlighten pupils on the relations between or within certain concepts, items or phenomena, a teacher may refer to other concepts, items or phenomena that pupils are more familiar with. It may help to create or clarify one theory (or theoretical model) via the workings of another theory (or theoretical model). Thus an analogy, as used in teaching, would be comparing a topic that students are already familiar with, with a new topic that is being introduced, so that students can get a better understanding of the new topic by relating back to existing knowledge. This can be particularly helpful when the analogy serves across different disciplines: indeed, there are various teaching innovations now emerging that use sight-based analogies for teaching and research across subjects such as science and the humanities.

Shawn Glynn, a professor in the department of educational psychology and instructional technology at the University of Georgia, developed a theory on teaching with analogies and developed steps to explain the process of teaching with this method. The steps for teaching with analogies are as follows: Step one is introducing the new topic that is about to be taught and giving some general knowledge on the subject. Step two is reviewing the concept that the students already know to ensure they have the proper knowledge to assess the similarities between the two concepts. Step three is finding relevant features within the analogy of the two concepts. Step four is finding similarities between the two concepts so students are able to compare and contrast them in order to understand. Step five is indicating where the analogy breaks down between the two concepts. And finally, step six is drawing a conclusion about the analogy and comparing the new material with the already learned material. Typically this method is used to learn topics in science.

In 1989, teacher Kerry Ruef began a program titled The Private Eye Project. It is a method of teaching that revolves around using analogies in the classroom to better explain topics. She thought of the idea to use analogies as a part of curriculum because she was observing objects once and she said, "my mind was noting what else each object reminded me of..." This led her to teach with the question, "what does [the subject or topic] remind you of?" The idea of comparing subjects and concepts led to the development of The Private Eye Project as a method of teaching. The program is designed to build critical thinking skills with analogies as one of the main themes revolving around it. While Glynn focuses on using analogies to teach science, The Private Eye Project can be used for any subject including writing, math, art, social studies, and invention. It is now used by thousands of schools around the country.

Religion

Catholicism

The Fourth Lateran Council of 1215 taught: For between creator and creature there can be noted no similarity so great that a greater dissimilarity cannot be seen between them.

The theological exploration of this subject is called the analogia entis. The consequence of this theory is that all true statements concerning God (excluding the concrete details of Jesus' earthly life) are rough analogies, without implying any falsehood. Such analogical and true statements would include God is, God is Love, God is a consuming fire, God is near to all who call him, or God as Trinity, where being, love, fire, distance, number must be classed as analogies that allow human cognition of what is infinitely beyond positive or negative language.

The use of theological statements in syllogisms must take into account their analogical essence, in that every analogy breaks down when stretched beyond its intended meaning.

Islam

Islamic jurisprudence makes ample use of analogy as a means of making conclusions from outside sources of law. The bounds and rules employed to make analogical deduction vary greatly between madhhabs and to a lesser extent individual scholars. It is nonetheless a generally accepted source of law within jurisprudential epistemology, with the chief opposition to it forming the dhahiri (ostensiblist) school.

Inequality (mathematics)

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