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Thursday, November 28, 2019

Theory of forms

From Wikipedia, the free encyclopedia
 
The theory of Forms or theory of Ideas is a philosophical theory, concept, or world-view, attributed to Plato, that the physical world is not as real or true as timeless, absolute, unchangeable ideas. According to this theory, ideas in this sense, often capitalized and translated as "Ideas" or "Forms", are the non-physical essences of all things, of which objects and matter in the physical world are merely imitations. Plato speaks of these entities only through the characters (primarily Socrates) of his dialogues who sometimes suggest that these Forms are the only objects of study that can provide knowledge. The theory itself is contested from within Plato's dialogues, and it is a general point of controversy in philosophy. Whether the theory represents Plato's own views is held in doubt by modern scholarship. However, the theory is considered a classical solution to the problem of universals

The early Greek concept of form precedes attested philosophical usage and is represented by a number of words mainly having to do with vision, sight, and appearance. Plato uses these aspects of sight and appearance from the early Greek concept of the form in his dialogues to explain the Forms and the Good.

Forms

The meaning of the term εἶδος (eidos), "visible form", and related terms μορφή (morphē), "shape", and φαινόμενα (phainomena), "appearances", from φαίνω (phainō), "shine", Indo-European *bʰeh₂- or *bhā- remained stable over the centuries until the beginning of philosophy, when they became equivocal, acquiring additional specialized philosophic meanings. The pre-Socratic philosophers, starting with Thales, noted that appearances change, and began to ask what the thing that changes "really" is. The answer was substance, which stands under the changes and is the actually existing thing being seen. The status of appearances now came into question. What is the form really and how is that related to substance? 

The Forms are expounded upon in Plato's dialogues and general speech, in that every object or quality in reality has a form: dogs, human beings, mountains, colors, courage, love, and goodness. Form answers the question, "What is that?" Plato was going a step further and asking what Form itself is. He supposed that the object was essentially or "really" the Form and that the phenomena were mere shadows mimicking the Form; that is, momentary portrayals of the Form under different circumstances. The problem of universals – how can one thing in general be many things in particular – was solved by presuming that Form was a distinct singular thing but caused plural representations of itself in particular objects. For example, in the dialogue Parmenides, Socrates states: "Nor, again, if a person were to show that all is one by partaking of one, and at the same time many by partaking of many, would that be very astonishing. But if he were to show me that the absolute one was many, or the absolute many one, I should be truly amazed." Matter is considered particular in itself. For Plato, forms, such as beauty, are more real than any objects that imitate them. Though the forms are timeless and unchanging, physical things are in a constant change of existence. Where forms are unqualified perfection, physical things are qualified and conditioned.

These Forms are the essences of various objects: they are that without which a thing would not be the kind of thing it is. For example, there are countless tables in the world but the Form of tableness is at the core; it is the essence of all of them. Plato's Socrates held that the world of Forms is transcendent to our own world (the world of substances) and also is the essential basis of reality. Super-ordinate to matter, Forms are the most pure of all things. Furthermore, he believed that true knowledge/intelligence is the ability to grasp the world of Forms with one's mind.

A Form is aspatial (transcendent to space) and atemporal (transcendent to time). Atemporal means that it does not exist within any time period, rather it provides the formal basis for time. It therefore formally grounds beginning, persisting and ending. It is neither eternal in the sense of existing forever, nor mortal, of limited duration. It exists transcendent to time altogether. Forms are aspatial in that they have no spatial dimensions, and thus no orientation in space, nor do they even (like the point) have a location. They are non-physical, but they are not in the mind. Forms are extra-mental (i.e. real in the strictest sense of the word).

A Form is an objective "blueprint" of perfection. The Forms are perfect and unchanging representations of objects and qualities. For example, the Form of beauty or the Form of a triangle. For the form of a triangle say there is a triangle drawn on a blackboard. A triangle is a polygon with 3 sides. The triangle as it is on the blackboard is far from perfect. However, it is only the intelligibility of the Form "triangle" that allows us to know the drawing on the chalkboard is a triangle, and the Form "triangle" is perfect and unchanging. It is exactly the same whenever anyone chooses to consider it; however, time only effects the observer and not of the triangle. It follows that the same attributes would exist for the Form of beauty and for all Forms.

Etymology

The words, εἶδος (eidos) and ἰδέα (idea) come from the Indo-European root *weyd- or *weid- "see" (cognate with Sanskrit vétti). Eidos (though not idea) is already attested in texts of the Homeric era, the earliest Greek literature. This transliteration and the translation tradition of German and Latin lead to the expression "theory of Ideas." The word is however not the English "idea," which is a mental concept only. 

The theory of matter and form (today's hylomorphism) started with Plato and possibly germinal in some of the presocratic writings. The forms were considered as being "in" something else, which Plato called nature (physis). The latter seemed as carved "wood", ὕλη (hyle) in Greek, corresponding to materia in Latin, from which the English word "matter" is derived, shaped by receiving (or exchanging) forms.

Terminology

In the Allegory of the Cave, the objects that are seen are not real, according to Plato, but literally mimic the real Forms.
 
The English word "form" may be used to translate two distinct concepts that concerned Plato—the outward "form" or appearance of something, and "Form" in a new, technical nature, that never
...assumes a form like that of any of the things which enter into her; ... But the forms which enter into and go out of her are the likenesses of real existences modelled after their patterns in a wonderful and inexplicable manner....
The objects that are seen, according to Plato, are not real, but literally mimic the real Forms. In the Allegory of the Cave expressed in Republic, the things that are ordinarily perceived in the world are characterized as shadows of the real things, which are not perceived directly. That which the observer understands when he views the world mimics the archetypes of the many types and properties (that is, of universals) of things observed.

Intelligible realm and separation of the Forms

Plato often invokes, particularly in his dialogues Phaedo, Republic and Phaedrus, poetic language to illustrate the mode in which the Forms are said to exist. Near the end of the Phaedo, for example, Plato describes the world of Forms as a pristine region of the physical universe located above the surface of the Earth (Phd. 109a-111c). In the Phaedrus the Forms are in a "place beyond heaven" (huperouranios topos) (Phdr. 247c ff); and in the Republic the sensible world is contrasted with the intelligible realm (noēton topon) in the famous Allegory of the Cave.

It would be a mistake to take Plato's imagery as positing the intelligible world as a literal physical space apart from this one. Plato emphasizes that the Forms are not beings that extend in space (or time), but subsist apart from any physical space whatsoever. Thus we read in the Symposium of the Form of Beauty: "It is not anywhere in another thing, as in an animal, or in earth, or in heaven, or in anything else, but itself by itself with itself," (211b). And in the Timaeus Plato writes: "Since these things are so, we must agree that that which keeps its own form unchangingly, which has not been brought into being and is not destroyed, which neither receives into itself anything else from anywhere else, nor itself enters into anything anywhere, is one thing," (52a, emphasis added).

Ideal state

According to Plato, Socrates postulated a world of ideal Forms, which he admitted were impossible to know. Nevertheless, he formulated a very specific description of that world, which did not match his metaphysical principles. Corresponding to the world of Forms is our world, that of the shadows, an imitation of the real one. Just as shadows exist only because of the light of a fire, our world exists as, "the offspring of the good". Our world is modeled after the patterns of the Forms. The function of humans in our world is therefore to imitate the ideal world as much as possible which, importantly, includes imitating the good, i.e. acting morally. 

Plato lays out much of this theory in the "Republic" where, in an attempt to define Justice, he considers many topics including the constitution of the ideal state. While this state, and the Forms, do not exist on earth, because their imitations do, Plato says we are able to form certain well-founded opinions about them, through a theory called recollection.

The republic is a greater imitation of Justice:
Our aim in founding the state was not the disproportional happiness of any one class, but the greatest happiness of the whole; we thought that in a state ordered with a view to the good of the whole we should be most likely to find justice.
The key to not know how such a state might come into existence is the word "founding" (oikidzomen), which is used of colonization. It was customary in such instances to receive a constitution from an elected or appointed lawgiver; however in Athens, lawgivers were appointed to reform the constitution from time to time (for example, Draco, Solon). In speaking of reform, Socrates uses the word "purge" (diakathairountes) in the same sense that Forms exist purged of matter. 

The purged society is a regulated one presided over by philosophers educated by the state, who maintain three non-hereditary classes as required: the tradesmen (including merchants and professionals), the guardians (militia and police) and the philosophers (legislators, administrators and the philosopher-king). Class is assigned at the end of education, when the state institutes individuals in their occupation. Socrates expects class to be hereditary but he allows for mobility according to natural ability. The criteria for selection by the academics is ability to perceive forms (the analog of English "intelligence") and martial spirit as well as predisposition or aptitude.

The views of Socrates on the proper order of society are certainly contrary to Athenian values of the time and must have produced a shock effect, intentional or not, accounting for the animosity against him. For example, reproduction is much too important to be left in the hands of untrained individuals: "... the possession of women and the procreation of children ... will ... follow the general principle that friends have all things in common, ...." The family is therefore to be abolished and the children – whatever their parentage – to be raised by the appointed mentors of the state.

Their genetic fitness is to be monitored by the physicians: "... he (Asclepius, a culture hero) did not want to lengthen out good-for-nothing lives, or have weak fathers begetting weaker sons – if a man was not able to live in the ordinary way he had no business to cure him ...." Physicians minister to the healthy rather than cure the sick: "... (Physicians) will minister to better natures, giving health both of soul and of body; but those who are diseased in their bodies they will leave to die, and the corrupt and incurable souls they will put an end to themselves." Nothing at all in Greek medicine so far as can be known supports the airy (in the Athenian view) propositions of Socrates. Yet it is hard to be sure of Socrates' real views considering that there are no works written by Socrates himself. There are two common ideas pertaining to the beliefs and character of Socrates: the first being the Mouthpiece Theory where writers use Socrates in dialogue as a mouthpiece to get their own views across. However, since most of what we know about Socrates comes from plays, most of the Platonic plays are accepted as the more accurate Socrates since Plato was a direct student of Socrates. 

Perhaps the most important principle is that just as the Good must be supreme so must its image, the state, take precedence over individuals in everything. For example, guardians "... will have to be watched at every age in order that we may see whether they preserve their resolution and never, under the influence either of force or enchantment, forget or cast off their sense of duty to the state." This concept of requiring guardians of guardians perhaps suffers from the Third Man weakness (see below): guardians require guardians require guardians, ad infinitum. The ultimate trusty guardian is missing. Socrates does not hesitate to face governmental issues many later governors have found formidable: "Then if anyone at all is to have the privilege of lying, the rulers of the state should be the persons, and they ... may be allowed to lie for the public good."

Plato's conception of Forms actually differs from dialogue to dialogue, and in certain respects it is never fully explained, so many aspects of the theory are open to interpretation. Forms are first introduced in the Phaedo, but in that dialogue the concept is simply referred to as something the participants are already familiar with, and the theory itself is not developed. Similarly, in the Republic, Plato relies on the concept of Forms as the basis of many of his arguments but feels no need to argue for the validity of the theory itself or to explain precisely what Forms are. Commentators have been left with the task of explaining what Forms are and how visible objects participate in them, and there has been no shortage of disagreement. Some scholars advance the view that Forms are paradigms, perfect examples on which the imperfect world is modeled. Others interpret Forms as universals, so that the Form of Beauty, for example, is that quality that all beautiful things share. Yet others interpret Forms as "stuffs," the conglomeration of all instances of a quality in the visible world. Under this interpretation, we could say there is a little beauty in one person, a little beauty in another—all the beauty in the world put together is the Form of Beauty. Plato himself was aware of the ambiguities and inconsistencies in his Theory of Forms, as is evident from the incisive criticism he makes of his own theory in the Parmenides.

Evidence of Forms

Plato's main evidence for the existence of Forms is intuitive only and is as follows.

Human perception

We call both the sky and blue jeans by the same color, blue. However, clearly a pair of jeans and the sky are not the same color; moreover, the wavelengths of light reflected by the sky at every location and all the millions of blue jeans in every state of fading constantly change, and yet we somehow have a consensus of the basic form Blueness as it applies to them. Says Plato:
But if the very nature of knowledge changes, at the time when the change occurs there will be no knowledge, and, according to this view, there will be no one to know and nothing to be known: but if that which knows and that which is known exist ever, and the beautiful and the good and every other thing also exist, then I do not think that they can resemble a process of flux, as we were just now supposing.
Plato believed that long before our bodies ever existed, our souls existed and inhabited heaven, where they became directly acquainted with the forms themselves. Real knowledge, to him, was knowledge of the forms. But knowledge of the forms cannot be gained through sensory experience because the forms are not in the physical world. Therefore, our real knowledge of the forms must be the memory of our initial acquaintance with the forms in heaven. Therefore, what we seem to learn is in fact just remembering.

Perfection

No one has ever seen a perfect circle, nor a perfectly straight line, yet everyone knows what a circle and a straight line are. Plato utilizes the tool-maker's blueprint as evidence that Forms are real:
... when a man has discovered the instrument which is naturally adapted to each work, he must express this natural form, and not others which he fancies, in the material ....
Perceived circles or lines are not exactly circular or straight, and true circles and lines could never be detected since by definition they are sets of infinitely small points. But if the perfect ones were not real, how could they direct the manufacturer?

Criticisms of Platonic Forms

Self-criticism

Plato was well aware of the limitations of the theory, as he offered his own criticisms of it in his dialogue Parmenides. There Socrates is portrayed as a young philosopher acting as junior counterfoil to aged Parmenides. To a certain extent it is tongue-in-cheek as the older Socrates will have solutions to some of the problems that are made to puzzle the younger.

The dialogue does present a very real difficulty with the Theory of Forms, which Plato most likely only viewed as problems for later thought. These criticisms were later emphasized by Aristotle in rejecting an independently existing world of Forms. It is worth noting that Aristotle was a pupil and then a junior colleague of Plato; it is entirely possible that the presentation of Parmenides "sets up" for Aristotle; that is, they agreed to disagree.

One difficulty lies in the conceptualization of the "participation" of an object in a form (or Form). The young Socrates conceives of his solution to the problem of the universals in another metaphor, which though wonderfully apt, remains to be elucidated:
Nay, but the idea may be like the day which is one and the same in many places at once, and yet continuous with itself; in this way each idea may be one and the same in all at the same time.
But exactly how is a Form like the day in being everywhere at once? The solution calls for a distinct form, in which the particular instances, which are not identical to the form, participate; i.e., the form is shared out somehow like the day to many places. The concept of "participate", represented in Greek by more than one word, is as obscure in Greek as it is in English. Plato hypothesized that distinctness meant existence as an independent being, thus opening himself to the famous third man argument of Parmenides, which proves that forms cannot independently exist and be participated.

If universal and particulars – say man or greatness – all exist and are the same then the Form is not one but is multiple. If they are only like each other then they contain a form that is the same and others that are different. Thus if we presume that the Form and a particular are alike then there must be another, or third Form, man or greatness by possession of which they are alike. An infinite regression would then result; that is, an endless series of third men. The ultimate participant, greatness, rendering the entire series great, is missing. Moreover, any Form is not unitary but is composed of infinite parts, none of which is the proper Form. 

The young Socrates (some may say the young Plato) did not give up the Theory of Forms over the Third Man but took another tack, that the particulars do not exist as such. Whatever they are, they "mime" the Forms, appearing to be particulars. This is a clear dip into representationalism, that we cannot observe the objects as they are in themselves but only their representations. That view has the weakness that if only the mimes can be observed then the real Forms cannot be known at all and the observer can have no idea of what the representations are supposed to represent or that they are representations.

Socrates' later answer would be that men already know the Forms because they were in the world of Forms before birth. The mimes only recall these Forms to memory. The comedian Aristophanes wrote a play, The Clouds, poking fun of Socrates with his head in the clouds.

Aristotelian criticism

The central image from Raphael's The School of Athens (1509–1511), depicting Plato (left) and Aristotle (right). Plato is depicted pointing upwards, in reference to his belief in the higher Forms, while Aristotle disagrees and points downwards to the here-and-now, in reference to his belief in empiricism.

The topic of Aristotle's criticism of Plato's Theory of Forms is a large one and continues to expand. Rather than quote Plato, Aristotle often summarized. Classical commentaries thus recommended Aristotle as an introduction to Plato. As a historian of prior thought, Aristotle was invaluable, however this was secondary to his own dialectic and in some cases he treats purported implications as if Plato had actually mentioned them, or even defended them. In examining Aristotle's criticism of The Forms, it is helpful to understand Aristotle's own hylomorphic forms, by which he intends to salvage much of Plato's theory. 

In the summary passage quoted above Plato distinguishes between real and non-real "existing things", where the latter term is used of substance. The figures that the artificer places in the gold are not substance, but gold is. Aristotle stated that, for Plato, all things studied by the sciences have Form and asserted that Plato considered only substance to have Form. Uncharitably, this leads him to something like a contradiction: Forms existing as the objects of science, but not-existing as non-substance. Scottish philosopher W.D. Ross objects to this as a mischaracterization of Plato.

Plato did not claim to know where the line between Form and non-Form is to be drawn. As Cornford points out, those things about which the young Socrates (and Plato) asserted "I have often been puzzled about these things" (in reference to Man, Fire and Water), appear as Forms in later works. However, others do not, such as Hair, Mud, Dirt. Of these, Socrates is made to assert, "it would be too absurd to suppose that they have a Form."

Ross also objects to Aristotle's criticism that Form Otherness accounts for the differences between Forms and purportedly leads to contradictory forms: the Not-tall, the Not-beautiful, etc. That particulars participate in a Form is for Aristotle much too vague to permit analysis. By one way in which he unpacks the concept, the Forms would cease to be of one essence due to any multiple participation. As Ross indicates, Plato didn't make that leap from "A is not B" to "A is Not-B." Otherness would only apply to its own particulars and not to those of other Forms. For example, there is no Form Not-Greek, only particulars of Form Otherness that somehow suppress Form Greek.

Regardless of whether Socrates meant the particulars of Otherness yield Not-Greek, Not-tall, Not-beautiful, etc., the particulars would operate specifically rather than generally, each somehow yielding only one exclusion. 

Plato had postulated that we know Forms through a remembrance of the soul's past lives and Aristotle's arguments against this treatment of epistemology are compelling. For Plato, particulars somehow do not exist, and, on the face of it, "that which is non-existent cannot be known".

Dialogues that discuss Forms

The theory is presented in the following dialogues:
71–81, 85–86: The discovery (or "recollection") of knowledge as latent in the soul, pointing forward to the theory of Forms
389–390: The archetype as used by craftsmen
439–440: The problem of knowing the Forms.
210–211: The archetype of Beauty.
73–80: The theory of recollection restated as knowledge of the Forms in soul before birth in the body.
109–111: The myth of the afterlife.
100c: The theory of absolute beauty
  • Book III
402–403: Education the pursuit of the Forms.
  • Book V
472–483: Philosophy the love of the Forms. The philosopher-king must rule.
  • Books VI–VII
500–517: Philosopher-guardians as students of the Beautiful and Just implement archetypical order.
Metaphor of the Sun: The sun is to sight as Good is to understanding.
Allegory of the Cave: The struggle to understand forms like men in cave guessing at shadows in firelight.
  • Books IX–X
589–599: The ideal state and its citizens. Extensive treatise covering citizenship, government and society with suggestions for laws imitating the Good, the True, the Just, etc.
248–250: Reincarnation according to knowledge of the true
265–266: The unity problem in thought and nature.
129–135: Participatory solution of unity problem. Things partake of archetypal like and unlike, one and many, etc. The nature of the participation (Third man argument). Forms not actually in the thing. The problem of their unknowability.
184–186: Universals understood by mind and not perceived by senses.
246–248: True essence a Form. Effective solution to participation problem.
251–259: The problem with being as a Form; if it is participatory then non-being must exist and be being.
27–52: The design of the universe, including numbers and physics. Some of its patterns. Definition of matter.
14-18: Unity problem: one and many, parts and whole.
342–345: The epistemology of Forms. The Seventh Letter is possibly spurious.

Platonism

From Wikipedia, the free encyclopedia
 
Head of Plato, Roman copy. The original was exhibited at the Academy after the death of the philosopher (348/347 BC).
 
Platonism is the philosophy of Plato and philosophical systems closely derived from it, though contemporary platonists do not necessarily accept all of the doctrines of Plato. Platonism had a profound effect on Western thought. Platonism at least affirms the existence of abstract objects, which are asserted to exist in a third realm distinct from both the sensible external world and from the internal world of consciousness, and is the opposite of nominalism. This can apply to properties, types, propositions, meanings, numbers, sets, truth values, and so on (see abstract object theory). Philosophers who affirm the existence of abstract objects are sometimes called platonists; those who deny their existence are sometimes called nominalists. The terms "platonism" and "nominalism" also have established senses in the history of philosophy, where they denote positions that have little to do with the modern notion of an abstract object.

In a narrower sense, the term might indicate the doctrine of Platonic realism. The central concept of Platonism, a distinction essential to the Theory of Forms, is the distinction between the reality which is perceptible but unintelligible, associated with the flux of Heraclitus and studied by the likes of science, and the reality which is imperceptible but intelligible, associated with the unchanging being of Parmenides and studied by the likes of mathematics. Geometry was a main motivation of Plato, and this also shows the influence of Pythagoras. The Forms are typically described in dialogues such as the Phaedo, Symposium and Republic as perfect archetypes of which objects in the everyday world are imperfect copies. Aristotle's Third Man Argument is its most famous criticism in antiquity. 

In the Republic the highest form is identified as the Form of the Good, the source of all other Forms, which could be known by reason. In the Sophist, a later work, the Forms being, sameness and difference are listed among the primordial "Great Kinds". Plato established the Academy, and in the 3rd century BC, Arcesilaus adopted academic skepticism, which became a central tenet of the school until 90 BC when Antiochus added Stoic elements, rejected skepticism, and began a period known as Middle Platonism

In the 3rd century AD, Plotinus added mystical elements, establishing Neoplatonism, in which the summit of existence was the One or the Good, the source of all things; in virtue and meditation the soul had the power to elevate itself to attain union with the One. Many Platonic notions were adopted by the Christian church which understood Plato's Forms as God's thoughts (a position also known as divine conceptualism), while Neoplatonism became a major influence on Christian mysticism in the West through Saint Augustine, Doctor of the Catholic Church, who was heavily influenced by Plotinus' Enneads, and in turn were foundations for the whole of Western Christian thought.

Philosophy

Plato, holding his Timaeus detail from the Vatican fresco The School of Athens
 
The primary concept is the Theory of Forms. The only true being is founded upon the forms, the eternal, unchangeable, perfect types, of which particular objects of moral and responsible sense are imperfect copies. The multitude of objects of sense, being involved in perpetual change, are thereby deprived of all genuine existence. The number of the forms is defined by the number of universal concepts which can be derived from the particular objects of sense. The following excerpt may be representative of Plato's middle period metaphysics and epistemology:
[Socrates:] "Since the beautiful is opposite of the ugly, they are two."
[Glaucon:] "Of course."
"And since they are two, each is one?"
"I grant that also."
"And the same account is true of the just and unjust, the good and the bad, and all the forms. Each of them is itself one, but because they manifest themselves everywhere in association with actions, bodies, and one another, each of them appears to be many."
"That's right."
"So, I draw this distinction: On one side are those you just now called lovers of sights, lovers of crafts, and practical people; on the other side are those we are now arguing about and whom one would alone call philosophers."
"How do you mean?"
"The lovers of sights and sounds like beautiful sounds, colors, shapes, and everything fashioned out of them, but their thought is unable to see and embrace the nature of the beautiful itself."
"That's for sure."
"In fact, there are very few people who would be able to reach the beautiful itself and see it by itself. Isn't that so?"
"Certainly."
"What about someone who believes in beautiful things, but doesn't believe in the beautiful itself and isn't able to follow anyone who could lead him to the knowledge of it? Don't you think he is living in a dream rather than a wakened state? Isn't this dreaming: whether asleep or awake, to think that a likeness is not a likeness but rather the thing itself that it is like?"
"I certainly think that someone who does that is dreaming."
"But someone who, to take the opposite case, believes in the beautiful itself, can see both it and the things that participate in it and doesn't believe that the participants are it or that it itself is the participants--is he living in a dream or is he awake?
"He's very much awake."

(Republic Bk. V, 475e-476d, translation G.M.A Grube)
Book VI of the Republic identifies the highest form as the Form of the Good, the cause of all other Ideas, and that on which the being and knowing of all other Forms is contingent. Conceptions derived from the impressions of sense can never give us the knowledge of true being; i.e. of the forms. It can only be obtained by the soul's activity within itself, apart from the troubles and disturbances of sense; that is to say, by the exercise of reason. Dialectic, as the instrument in this process, leading us to knowledge of the forms, and finally to the highest form of the Good, is the first of sciences. Later Neoplatonism, beginning with Plotinus, identified the Good of the Republic with the so-called transcendent, absolute One of the first hypothesis of the Parmenides (137c-142a).

Platonist ethics is based on the Form of the Good. Virtue is knowledge, the recognition of the supreme form of the good. And, since in this cognition, the three parts of the soul, which are reason, spirit, and appetite, all have their share, we get the three virtues, Wisdom, Courage, and Moderation. The bond which unites the other virtues is the virtue of Justice, by which each part of the soul is confined to the performance of its proper function.

Platonism had a profound effect on Western thought. In many interpretations of the Timaeus Platonism, like Aristotelianism, poses an eternal universe, as opposed to the nearby Judaic tradition that the universe had been created in historical time, with its continuous history recorded. Unlike Aristotelianism, Platonism describes idea as prior to matter and identifies the person with the soul. Many Platonic notions secured a permanent place in Christianity.

History

Ancient philosophy

The Academy


Site of Plato's Academy in Athens
 
Platonism was originally expressed in the dialogues of Plato, in which the figure of Socrates is used to expound certain doctrines, that may or may not be similar to the thought of the historical Socrates, Plato's master. Plato delivered his lectures at the Academy, a precinct containing a sacred grove outside the walls of Athens. The school continued there long after Plato's death. There were three periods: the Old, Middle, and New Academy. The chief figures in the Old Academy were Speusippus (Plato's nephew), who succeeded him as the head of the school (until 339 BC), and Xenocrates (until 313 BC). Both of them sought to fuse Pythagorean speculations on number with Plato's theory of forms.

Around 266 BC, Arcesilaus became head of the Academy. This phase, known as the Middle Academy, strongly emphasized Academic skepticism. It was characterized by its attacks on the Stoics and their assertion of the certainty of truth and our knowledge of it. The New Academy began with Carneades in 155 BC, the fourth head in succession from Arcesilaus. It was still largely skeptical, denying the possibility of knowing an absolute truth; both Arcesilaus and Carneades believed that they were maintaining a genuine tenet of Plato.

Middle Platonism

Around 90 BC, Antiochus of Ascalon rejected skepticism, making way for the period known as Middle Platonism, in which Platonism was fused with certain Peripatetic and many Stoic dogmas. In Middle Platonism, the Platonic Forms were not transcendent but immanent to rational minds, and the physical world was a living, ensouled being, the World-Soul. Pre-eminence in this period belongs to Plutarch. The eclectic nature of Platonism during this time is shown by its incorporation into Pythagoreanism (Numenius of Apamea) and into Jewish philosophy (Philo of Alexandria).

Neoplatonism

Many Western churchmen, including Augustine of Hippo, have been influenced by Platonism.
 
In the third century, Plotinus recast Plato's system, establishing Neoplatonism, in which Middle Platonism was fused with mysticism. At the summit of existence stands the One or the Good, as the source of all things. It generates from itself, as if from the reflection of its own being, reason, the nous, wherein is contained the infinite store of ideas. The world-soul, the copy of the nous, is generated by and contained in it, as the nous is in the One, and, by informing matter in itself nonexistent, constitutes bodies whose existence is contained in the world-soul. Nature therefore is a whole, endowed with life and soul. Soul, being chained to matter, longs to escape from the bondage of the body and return to its original source. In virtue and philosophical thought it has the power to elevate itself above the reason into a state of ecstasy, where it can behold, or ascend to, that one good primary Being whom reason cannot know. To attain this union with the Good, or God, is the true function of human beings.

Plotinus' disciple, Porphyry, followed by Iamblichus, developed the system in conscious opposition to Christianity. The Platonic Academy was re-established during this period; its most renowned head was Proclus (died 485), a celebrated commentator on Plato's writings. The Academy persisted until Roman emperor Justinian closed it in 529.

Medieval philosophy

Christianity and Platonism

Platonism has had some influence on Christianity through Clement of Alexandria and Origen, and the Cappadocian Fathers. St. Augustine was heavily influenced by Platonism as well, which he encountered through the Latin translations of Marius Victorinus of the works of Porphyry and/or Plotinus.

Platonism was considered authoritative in the Middle Ages. Platonism also influenced both Eastern and Western mysticism. Meanwhile, Platonism influenced various philosophers. While Aristotle became more influential than Plato in the 13th century, St. Thomas Aquinas's philosophy was still in certain respects fundamentally Platonic.

Modern philosophy

Renaissance

The Renaissance also saw a renewed interest in Platonic thought, including more interest in Plato himself. In 16th-, 17th-, and 19th-century England, Plato's ideas influenced many religious thinkers including the Cambridge Platonists. Orthodox Protestantism in continental Europe, however, distrusts natural reason and has often been critical of Platonism. An issue in the reception of Plato in early modern Europe was how to deal with the same-sex elements of his corpus.

Christoplatonism is a term used to refer to a dualism opined by Plato, which holds spirit is good but matter is evil, which influenced some christian churches, though the Bible's teaching directly contradicts this philosophy and thus it receives constant criticism from many teachers in the Christian Church today. According to the Methodist Church, Christoplatonism directly "contradicts the Biblical record of God calling everything He created good."

Contemporary philosophy

Modern Platonism

Apart from historical Platonism originating from thinkers such as Plato and Plotinus, we also encounter the theory of abstract objects in the modern sense.
Platonism is the view that there exist such things as abstract objects — where an abstract object is an object that does not exist in space or time and which is therefore entirely non-physical and non-mental. Platonism in this sense is a contemporary view.
Most contemporary platonists trace their views to those of Gottlob Frege.
 
This modern Platonism has been endorsed in one way or another at one time or another by numerous philosophers, such as Bernard Bolzano, who argue for anti-psychologism.
Analytic
In contemporary philosophy, most platonists trace their ideas to Gottlob Frege's influential paper "Thought," which argues for platonism with respect to propositions, and his influential book, The Foundations of Arithmetic, which argues for platonism with respect to numbers and is a seminal text of the logicist project. Contemporary analytic philosophers who espoused Platonism in metaphysics include Bertrand Russell, Alonzo Church, Kurt Gödel, W. V. O. Quine, David Kaplan, Saul Kripke, and Edward Zalta. Iris Murdoch espoused Platonism in moral philosophy in her 1970 book The Sovereignty of Good

Paul Benacerraf's epistemological challenge to contemporary platonism has proved its most influential criticism.
Continental
In contemporary Continental philosophy, Edmund Husserl's arguments against psychologism are believed to derive from a Platonist conception of logic, influenced by Frege and his mentor Bolzano.—Husserl explicitly mentioned Bolzano, G. W. Leibniz and Hermann Lotze as inspirations for his position in his Logical Investigations (1900–1). Other prominent contemporary Continental philosophers interested in Platonism in a general sense include Leo Strauss, Simone Weil, and Alain Badiou.

Socratic method

From Wikipedia, the free encyclopedia
 
The Socratic method, (also known as method of Elenchus, elenctic method, or Socratic debate), is a form of cooperative argumentative dialogue between individuals, based on asking and answering questions to stimulate critical thinking and to draw out ideas and underlying presuppositions. It is named after the Classical Greek philosopher Socrates and is introduced by him in Plato's Theaetetus as midwifery (maieutics) because it is employed to bring out definitions implicit in the interlocutors' beliefs, or to help them further their understanding.

The Socratic method is a method of hypothesis elimination, in that better hypotheses are found by steadily identifying and eliminating those that lead to contradictions.

The Socratic method searches for general, commonly held truths that shape beliefs and scrutinizes them to determine their consistency with other beliefs. The basic form is a series of questions formulated as tests of logic and fact intended to help a person or group discover their beliefs about some topic; exploring definitions, and seeking to characterize general characteristics shared by various particular instances.

Development

In the second half of the 5th century BC, sophists were teachers who specialized in using the tools of philosophy and rhetoric to entertain, impress, or persuade an audience to accept the speaker's point of view. Socrates promoted an alternative method of teaching, which came to be called the Socratic method.
Socrates began to engage in such discussions with his fellow Athenians after his friend from youth, Chaerephon, visited the Oracle of Delphi, which asserted that no man in Greece was wiser than Socrates. Socrates saw this as a paradox, and began using the Socratic method to answer his conundrum. Diogenes Laërtius, however, wrote that Protagoras invented the “Socratic” method.

Plato famously formalized the Socratic elenctic style in prose—presenting Socrates as the curious questioner of some prominent Athenian interlocutor—in some of his early dialogues, such as Euthyphro and Ion, and the method is most commonly found within the so-called "Socratic dialogues", which generally portray Socrates engaging in the method and questioning his fellow citizens about moral and epistemological issues. But in his later dialogues, such as Theaetetus or Sophist, Plato had a different method to philosophical discussions, namely dialectic.

Method

Elenchus (Ancient Greek: ἔλεγχος, romanizedelenkhos, lit. 'argument of disproof or refutation; cross-examining, testing, scrutiny esp. for purposes of refutation') is the central technique of the Socratic method. The Latin form elenchus (plural elenchi) is used in English as the technical philosophical term. The most common adjectival form in English is elenctic; elenchic and elenchtic are also current. 

In Plato's early dialogues, the elenchus is the technique Socrates uses to investigate, for example, the nature or definition of ethical concepts such as justice or virtue. According to Vlastos, it has the following steps:
  1. Socrates' interlocutor asserts a thesis, for example "Courage is endurance of the soul".
  2. Socrates decides whether the thesis is false and targets for refutation.
  3. Socrates secures his interlocutor's agreement to further premises, for example "Courage is a fine thing" and "Ignorant endurance is not a fine thing".
  4. Socrates then argues, and the interlocutor agrees, these further premises imply the contrary of the original thesis; in this case, it leads to: "courage is not endurance of the soul".
  5. Socrates then claims he has shown his interlocutor's thesis is false and its negation is true.
One elenctic examination can lead to a new, more refined, examination of the concept being considered, in this case it invites an examination of the claim: "Courage is wise endurance of the soul". Most Socratic inquiries consist of a series of elenchi and typically end in puzzlement known as aporia

Frede points out Vlastos' conclusion in step #4 above makes nonsense of the aporetic nature of the early dialogues. Having shown a proposed thesis is false is insufficient to conclude some other competing thesis must be true. Rather, the interlocutors have reached aporia, an improved state of still not knowing what to say about the subject under discussion. 

The exact nature of the elenchus is subject to a great deal of debate, in particular concerning whether it is a positive method, leading to knowledge, or a negative method used solely to refute false claims to knowledge.

W. K. C. Guthrie in The Greek Philosophers sees it as an error to regard the Socratic method as a means by which one seeks the answer to a problem, or knowledge. Guthrie claims that the Socratic method actually aims to demonstrate one's ignorance. Socrates, unlike the Sophists, did believe that knowledge was possible, but believed that the first step to knowledge was recognition of one's ignorance. Guthrie writes, "[Socrates] was accustomed to say that he did not himself know anything, and that the only way in which he was wiser than other men was that he was conscious of his own ignorance, while they were not. The essence of the Socratic method is to convince the interlocutor that whereas he thought he knew something, in fact he does not."{pg 74}

Application

Socrates generally applied his method of examination to concepts that seem to lack any concrete definition; e.g., the key moral concepts at the time, the virtues of piety, wisdom, temperance, courage, and justice. Such an examination challenged the implicit moral beliefs of the interlocutors, bringing out inadequacies and inconsistencies in their beliefs, and usually resulting in aporia. In view of such inadequacies, Socrates himself professed his ignorance, but others still claimed to have knowledge. Socrates believed that his awareness of his ignorance made him wiser than those who, though ignorant, still claimed knowledge. While this belief seems paradoxical at first glance, it in fact allowed Socrates to discover his own errors where others might assume they were correct. This claim was based on a reported Delphic oracular pronouncement that no man was wiser than Socrates. 

Socrates used this claim of wisdom as the basis of his moral exhortation. Accordingly, he claimed that the chief goodness consists in the caring of the soul concerned with moral truth and moral understanding, that "wealth does not bring goodness, but goodness brings wealth and every other blessing, both to the individual and to the state", and that "life without examination [dialogue] is not worth living". It is with this in mind that the Socratic method is employed. 

The motive for the modern usage of this method and Socrates' use are not necessarily equivalent. Socrates rarely used the method to actually develop consistent theories, instead using myth to explain them. The Parmenides dialogue shows Parmenides using the Socratic method to point out the flaws in the Platonic theory of the Forms, as presented by Socrates; it is not the only dialogue in which theories normally expounded by Plato/Socrates are broken down through dialectic. Instead of arriving at answers, the method was used to break down the theories we hold, to go "beyond" the axioms and postulates we take for granted. Therefore, myth and the Socratic method are not meant by Plato to be incompatible; they have different purposes, and are often described as the "left hand" and "right hand" paths to good and wisdom.

Socratic Circles

A Socratic Circle (also known as a Socratic Seminar) is a pedagogical approach based on the Socratic method and uses a dialogic approach to understand information in a text. Its systematic procedure is used to examine a text through questions and answers founded on the beliefs that all new knowledge is connected to prior knowledge, that all thinking comes from asking questions, and that asking one question should lead to asking further questions. A Socratic Circle is not a debate. The goal of this activity is to have participants work together to construct meaning and arrive at an answer, not for one student or one group to “win the argument”.

This approach is based on the belief that participants seek and gain deeper understanding of concepts in the text through thoughtful dialogue rather than memorizing information that has been provided for them. While Socratic Circles can differ in structure, and even in name, they typically involve the following components: a passage of text that students must read beforehand and two concentric circles of students: an outer circle and an inner circle. The inner circle focuses on exploring and analysing the text through the act of questioning and answering. During this phase, the outer circle remains silent. Students in the outer circle are much like scientific observers watching and listening to the conversation of the inner circle. When the text has been fully discussed and the inner circle is finished talking, the outer circle provides feedback on the dialogue that took place. This process alternates with the inner circle students going to the outer circle for the next meeting and vice versa. The length of this process varies depending on the text used for the discussion. The teacher may decide to alternate groups within one meeting, or they may alternate at each separate meeting.

The most significant difference between this activity and most typical classroom activities involves the role of the teacher. In Socratic Circles the students lead the discussion and questioning. The teacher's role is to ensure the discussion advances regardless of the particular direction the discussion takes.

Various approaches to Socratic Circles

Teachers use Socratic Circles in different ways. The structure it takes may look different in each classroom. While this is not an exhaustive list, teachers may use one of the following structures to administer Socratic Seminar:
  1. Inner/outer circle or fishbowl: Students need to be arranged in inner and outer circles. The inner circle engages in discussion about the text. The outer circle observes the inner circle, while taking notes. The outer circle shares their observations and questions the inner circle with guidance from the teacher/facilitator. Students use constructive criticism as opposed to making judgements. The students on the outside keep track of topics they would like to discuss as part of the debrief. Participants of the outer circle can use an observation checklist or notes form to monitor the participants in the inner circle. These tools will provide structure for listening and give the outside members specific details to discuss later in the seminar. The teacher may also sit in the circle but at the same height as the students.
  2. Triad: Students are arranged so that each participant (called a “pilot”) in the inner circle has two “co-pilots” sitting behind them on either side. Pilots are the speakers because they are in the inner circle; co-pilots are in the outer circle and only speak during consultation. The seminar proceeds as any other seminar. At a point in the seminar, the facilitator pauses the discussion and instructs the triad to talk to each other. Conversation will be about topics that need more in-depth discussion or a question posed by the leader. Sometimes triads will be asked by the facilitator to come up with a new question. Any time during a triad conversation, group members can switch seats and one of the co-pilots can sit in the pilot’s seat. Only during that time is the switching of seats allowed. This structure allows for students to speak, who may not yet have the confidence to speak in the large group. This type of seminar involves all students instead of just the students in the inner and outer circles.
  3. Simultaneous seminars: Students are arranged in multiple small groups and placed as far as possible from each other. Following the guidelines of the Socratic Seminar, students engage in small group discussions. Simultaneous seminars are typically done with experienced students who need little guidance and can engage in a discussion without assistance from a teacher/facilitator. According to the literature, this type of seminar is beneficial for teachers who want students to explore a variety of texts around a main issue or topic. Each small group may have a different text to read/view and discuss. A larger Socratic Seminar can then occur as a discussion about how each text corresponds with one another. Simultaneous Seminars can also be used for a particularly difficult text. Students can work through different issues and key passages from the text.
No matter what structure the teacher employs, the basic premise of the seminar/circles is to turn partial control and direction of the classroom over to the students. The seminars encourage students to work together, creating meaning from the text and to stay away from trying to find a correct interpretation. The emphasis is on critical and creative thinking.

Text selection

Socratic Circle texts
A Socratic Circle text is a tangible document that creates a thought-provoking discussion. The text ought to be appropriate for the participants' current level of intellectual and social development. It provides the anchor for dialogue whereby the facilitator can bring the participants back to the text if they begin to digress. Furthermore, the seminar text enables the participants to create a level playing field – ensuring that the dialogical tone within the classroom remains consistent and pure to the subject or topic at hand. Some practitioners argue that "texts" do not have to be confined to printed texts, but can include artifacts such as objects, physical spaces, and the like.

Pertinent elements of an effective Socratic text
 
Socratic seminar texts are able to challenge participants’ thinking skills by having these characteristics:
  1. Ideas and values
  2. Complexity and challenge
  3. Relevance to participants' curriculum
  4. Ambiguity
1. Ideas and values
  • The text must introduce ideas and values that are complex and difficult to summarize. Powerful discussions arise from personal connections to abstract ideas and from implications to personal values.

2. Complexity and challenge
  • The text must be rich in ideas and complexity  and open to interpretation. Ideally it should require multiple readings, but should be neither far above the participants' intellectual level nor very long.
 
3. Relevance to participants and curriculum
  • An effective text has identifiable themes that are recognizable and pertinent to the lives of the participants. Themes in the text should relate to the curriculum. 

4. Ambiguity
  • The text must be approachable from a variety of different perspectives, including perspectives that seem mutually exclusive, thus provoking critical thinking and raising important questions. The absence of right and wrong answers promotes a variety of discussion and encourages individual contributions.
 
Two different ways to select a text
 
Socratic texts can be divided into two main categories:

  1. Print texts (e.g. short stories, poems, and essays) and non-print texts (e.g. photographs, sculptures, and maps); and
  2. Subject area, which can draw from print or non-print artifacts. As examples, language arts can be approached through poems, history through written or oral historical speeches, science through policies on environmental issues, math through mathematical proofs, health through nutrition labels, and physical education through fitness guidelines.

Questioning methods in Socratic Circles

Socratic Circles are based upon the interaction of peers. The focus is to explore multiple perspectives on a given issue or topic. Socratic questioning is used to help students apply the activity to their learning. The pedagogy of Socratic questions is open-ended, focusing on broad, general ideas rather than specific, factual information. The questioning technique emphasizes a level of questioning and thinking where there is no single right answer. 

Socratic circles generally start with an open-ended question proposed either by the leader or by another participant. There is no designated first speaker; as individuals participate in Socratic circles, they gain experience that enables them to be effective in this role of initial questioner.

The leader keeps the topic focused by asking a variety of questions about the text itself, as well as questions to help clarify positions when arguments become confused. The leader also seeks to coax reluctant participants into the discussion, and to limit contributions from those who tend to dominate. She or he prompts participants to elaborate on their responses and to build on what others have said. The leader guides participants to deepen, clarify, and paraphrase, and to synthesize a variety of different views.

The participants share the responsibility with the leader to maintain the quality of the Socratic circle. They listen actively in order to respond effectively to what others have contributed. This teaches the participants to think and speak persuasively using the discussion to support their position. Participants must demonstrate respect for different ideas, thoughts and values, and must not interrupt each other.

Questions can be created individually or in small groups. All participants are given the opportunity to take part in the discussion. Socratic Circles specify three types of questions to prepare:
  1. Opening questions generate discussion at the beginning of the seminar in order to elicit dominant themes.
  2. Guiding questions help deepen and elaborate the discussion, keeping contributions on topic and encouraging a positive atmosphere and consideration for others.
  3. Closing questions lead participants to summarize their thoughts and learning and personalize what they’ve discussed.

Psychotherapy

The Socratic method, in the form of Socratic questioning, has been adapted for psychotherapy, most prominently in classical Adlerian psychotherapy, logotherapy, rational emotive behavior therapy, cognitive therapy and reality therapy. It can be used to clarify meaning, feeling, and consequences, as well as to gradually unfold insight, or explore alternative actions. 

The Socratic method has also recently inspired a new form of applied philosophy: Socratic dialogue, also called philosophical counseling. In Europe Gerd B. Achenbach is probably the best known practitioner, and Michel Weber has also proposed another variant of the practice.

Lie point symmetry

From Wikipedia, the free encyclopedia https://en.wikipedia.org/wiki/Lie_point_symmetry     ...