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Sunday, October 27, 2024

Ultimate Boeing 747 gambit

From Wikipedia, the free encyclopedia
https://en.wikipedia.org/wiki/Ultimate_Boeing_747_gambit

The Ultimate Boeing 747 gambit is a counter-argument to modern versions of the argument from design for the existence of God. It was introduced by Richard Dawkins in chapter 4 of his 2006 book The God Delusion, "Why there almost certainly is no God".

The argument is a play on the notion of a "tornado sweeping through a junkyard to assemble a Boeing 747" employed to decry abiogenesis and evolution as vastly unlikely and better explained by the existence of a creator god (although this quote is first attributed to Fred Hoyle, who used it to argue for panspermia, not creationism). According to Dawkins, this logic is self-defeating as the theist must now account for the god's existence and explain whether or how the god was created. In his view, if the existence of highly complex life on Earth is the equivalent of the implausible junkyard Boeing 747, the existence of a highly complex god is the "ultimate Boeing 747" that truly does require the seemingly impossible to explain its existence.

Context and history

The "ultimate Boeing 747 gambit" was originally proposed by Richard Dawkins in his 2006 book The God Delusion.

Richard Dawkins begins The God Delusion by making it clear that the God he talks about is the Abrahamic concept of a personal god who is susceptible to worship. He considers the existence of such an entity to be a scientific question, because a universe with such a god would be significantly different from a universe without one, and he says that the difference would be empirically discernible. Therefore, Dawkins concludes, the same kind of reasoning can be applied to the God hypothesis as to any other scientific question.

After discussing some of the most common arguments for the existence of God in chapter 3, Dawkins concludes that the argument from design is the most convincing. The extreme improbability of life and a universe capable of hosting it requires explanation, but Dawkins considers the God hypothesis inferior to evolution by natural selection as an explanation for the complexity of life. As part of his efforts to refute intelligent design, he redirects the argument from complexity in order to show that God must have been designed by a superintelligent designer, then presents his argument for the improbability of God's existence.

Dawkins' name for the statistical demonstration that God almost certainly does not exist is the "Ultimate Boeing 747 gambit". This is an allusion to the junkyard tornado. Astrophysicist Fred Hoyle, who was an atheist, anti-theist and advocate of the panspermia theory of life, is reported as having stated that the "probability of life originating on Earth is no greater than the chance that a hurricane, sweeping through a scrapyard, would have the luck to assemble a Boeing 747."

Arguments against empirically based theism date back at least as far as the eighteenth-century philosopher David Hume, whose objection can be paraphrased as the question "Who designed the designer?" According to philosopher Daniel Dennett, however – one of Dawkins' fellow "brights" – the innovation in Dawkins' argument is twofold: to show that where design fails to explain complexity, evolution by natural selection succeeds as the only workable solution; and to argue how this should illuminate the confusion surrounding the anthropic principle.

Dawkins's statement

Dawkins summarizes his argument as follows; the references to "crane" and "skyhook" are two notions from Daniel Dennett's book Darwin's Dangerous Idea.

  1. One of the greatest challenges to the human intellect, over the centuries, has been to explain how the complex, improbable appearance of design in the universe arises.
  2. The natural temptation is to attribute the appearance of design to actual design itself. In the case of a man-made artefact such as a watch, the designer really was an intelligent engineer. It is tempting to apply the same logic to an eye or a wing, a spider or a person.
  3. The temptation is a false one, because the designer hypothesis immediately raises the larger problem of who designed the designer. The whole problem we started out with was the problem of explaining statistical improbability. It is obviously no solution to postulate something even more improbable. We need a "crane", not a "skyhook"; for only a crane can do the business of working up gradually and plausibly from simplicity to otherwise improbable complexity.
  4. The most ingenious and powerful crane so far discovered is Darwinian evolution by natural selection. Darwin and his successors have shown how living creatures, with their spectacular statistical improbability and appearance of design, have evolved by slow, gradual degrees from simple beginnings. We can now safely say that the illusion of design in living creatures is just that – an illusion.
  5. We don't yet have an equivalent crane for physics. Some kind of multiverse theory could in principle do for physics the same explanatory work as Darwinism does for biology. This kind of explanation is superficially less satisfying than the biological version of Darwinism, because it makes heavier demands on luck. But the anthropic principle entitles us to postulate far more luck than our limited human intuition is comfortable with.
  6. We should not give up hope of a better crane arising in physics, something as powerful as Darwinism is for biology. But even in the absence of a strongly satisfying crane to match the biological one, the relatively weak cranes we have at present are, when abetted by the anthropic principle, self-evidently better than the self-defeating skyhook hypothesis of an intelligent designer.

A central thesis of the argument is that compared to supernatural abiogenesis, evolution by natural selection requires the supposition of fewer hypothetical processes; according to Occam's razor, therefore, it is a better explanation. Dawkins cites a paragraph where Richard Swinburne agrees that a simpler explanation is better but reasons that theism is simpler because it only invokes a single substance (God) as a cause and maintainer of every other object. This cause is seen as omnipotent, omniscient and totally "free". Dawkins argues that an entity that monitors and controls every particle in the universe and listens to all thoughts and prayers cannot be simple. Its existence would require a "mammoth explanation" of its own. The theory of natural selection is much simpler – and thus preferable – than a theory of the existence of such a complex being.

Dawkins then turns to a discussion of Keith Ward's views on divine simplicity to show the difficulty "the theological mind has in grasping where the complexity of life comes from." Dawkins writes that Ward is sceptical of Arthur Peacocke's ideas that evolution is directed by other forces than only natural selection and that these processes may have a propensity toward increasing complexity. Dawkins says that this scepticism is justified, because complexity does not come from biased mutations. Dawkins writes:

[Natural selection], as far as we know, is the only process ultimately capable of generating complexity out of simplicity. The theory of natural selection is genuinely simple. So is the origin from which it starts. That which it explains, on the other hand, is complex almost beyond telling: more complex than anything we can imagine, save a God capable of designing it.

Assessment and criticism

Theist authors have presented extensive opposition, most notably by theologian Alister McGrath (in The Dawkins Delusion?) and philosophers Alvin Plantinga and Richard Swinburne. Another negative review, by biologist H. Allen Orr, sparked heated debate, prompting, for example, the mathematician Norman Levitt to ask why theologians are assumed to have the exclusive right to write about who "rules" the universe. Daniel Dennett also took exception to Orr's review, leading to an exchange of open letters between himself and Orr. The philosopher Sir Anthony Kenny also considers this argument to be flawed. Cosmologist Stephen Barr responded as follows: "Paley finds a watch and asks how such a thing could have come to be there by chance. Dawkins finds an immense automated factory that blindly constructs watches, and feels that he has completely answered Paley's point."

Simplicity of God and materialist assumptions

Both Alvin Plantinga and Richard Swinburne raise the objection that God is not complex. Swinburne gives two reasons why a God that controls every particle can be simple: first, a person, as indicated by phenomena such as split-brains, is not the same as their highly complex brain but "is something simpler" that can "control" that brain; and second, simplicity is a quality that is intrinsic to a hypothesis, not related to its empirical consequences.

Plantinga writes:

So first, according to classical theology, God is simple, not complex. More remarkable, perhaps, is that according to Dawkins's own definition of complexity, God is not complex. According to his definition (set out in The Blind Watchmaker), something is complex if it has parts that are "arranged in a way that is unlikely to have arisen by chance alone." But of course God is a spirit, not a material object at all, and hence has no parts. A fortiori (as philosophers like to say) God doesn't have parts arranged in ways unlikely to have arisen by chance. Therefore, given the definition of complexity Dawkins himself proposes, God is not complex."

He continues:

"But second, suppose we concede, at least for purposes of argument, that God is complex. Perhaps we think the more a being knows, the more complex it is; God, being omniscient, would then be highly complex. Given materialism and the idea that the ultimate objects in our universe are the elementary particles of physics, perhaps a being that knew a great deal would be improbable – how could those particles get arranged in such a way as to constitute a being with all that knowledge? Of course we aren't given materialism.

In other words, Plantinga concludes that this argument, to be valid, would require materialism to be true; but, as materialism is not compatible with traditional theology, the argument begs the question by requiring its premise to assume God's non-existence.

In an extensive analysis published in Science and Christian Belief, Patrick Richmond suggests that "Dawkins is right to object to unexplained organised complexity in God" but that God is simply specified and lacks the sort of composition and limitations found in [physical] creatures; hence the theist can explain why nature exists without granting unexplained organised complexity or the extreme improbability of God.

Some respondents, such as Stephen Law, have suggested that God is or would indeed be complex if responsible for creating and sustaining the universe; According to Law, God's omniscience would require the retention of and ability to use all knowledge. Richard Carrier also argued that God's mind is extremely complex.

Necessity of external explanations

There are many variations on how to express this objection. William F. Vallicella holds that organized complexity as such does not need explanation, because when in search of an ultimate explanation, one must in the end accept an entity whose complexity has no external explanation. Dawkins has stated that we should search for simple beginnings for explanations, like in evolution which moves from simple to complex, and so what we ultimately accept with no external explanation must be simple for it to be a good explanation. And Plantinga writes that when not in search for an ultimate explanation of organized complexity, it is perfectly fine to explain one kind of complexity, that of terrestrial life, in terms of another kind of complexity, namely divine activity. Dawkins addresses this point in his debate with John Lennox over The God Delusion, saying that it would be perfectly reasonable to infer from artifacts on earth or another planet that an intelligence existed, but that you would still need to explain that intelligence, which evolution does, while for God's existence there is no such explanation.

Alister McGrath suggests that the leap from the recognition of complexity to the assertion of improbability is problematic, as a theory of everything would be more complex than the theories it would replace, yet one would not conclude that it is less probable. Dawkins has responded to this point in his debate with Lennox and at other times, saying that while physics is hard to understand, fundamentally, unlike biology, it is simple. McGrath then argues that probability is not relevant to the question of existence: life on earth is highly improbable and yet we exist. The important question in his view is not whether God is probable, but whether God is actual. In interviewing McGrath for The Root of All Evil, Dawkins responds that the existence of life on Earth is indeed highly improbable, but this is exactly why a theory such as evolution is required to explain that improbability. In the case of God, Dawkins says, there is no such satisfactory explanation.

On the point of probability, Alvin Plantinga claims that if God is a necessary being, as argued by classical theism, God is, by definition, maximally probable; thus an argument that there is no necessary being with the qualities attributed to God is required to demonstrate God's improbability. Eric MacDonald has pointed out that theists assume the coherence of their position when they make arguments for God when, by Plantinga's standards, they would have to present an argument that the concept of God is not logically incoherent before discussing other arguments. Plantinga's objection would seem to apply to all atheist arguments that contend that God is improbable, such as evidential arguments about the problem of evil and the argument from nonbelief. But the reason why theists and atheists do not usually address this prior to making their arguments is because they want to go beyond merely discussing whether God is maximally probable or impossible.

Dawkins's response to criticism in The God Delusion

Dawkins writes about his attendance at a conference in Cambridge sponsored by the Templeton Foundation, where he challenged the theologians present to respond to the argument that a creator of a complex universe would have to be complex and improbable. He reports the strongest response as the claim he was imposing a scientific epistemology on a question that lies beyond the realm of science. When theologians hold God to be simple, who is a scientist like Dawkins "to dictate to theologians that their God had to be complex?" Dawkins writes that he did not feel that those employing this "evasive" defence were being "wilfully dishonest", but that they were "defining themselves into an epistemological safe-zone where rational argument could not reach them because they had declared by fiat that it could not."

Theologians, Dawkins writes, demand that there be a first cause named "God". Dawkins responds that it must have been a simple cause and contends that unless "God" is divested of its normal associations, it is not an appropriate name. Postulating a prime mover that is capable of indulging in intelligent design is, in Dawkins's opinion, "a total abdication of the responsibility to find an explanation"; instead, he seeks a "self-bootstrapping crane" (see above) that can "lift" the universe into more complex states. This, he states, does not necessitate a scientific explanation, but does require a "crane" rather than a "skyhook" (ibid.) if it is to account for the complexity of the natural world.

Problem of the creator of God

In philosophy, the problem of the creator of God is the controversy regarding the hypothetical cause responsible for the existence of God, on the assumption God exists. It contests the proposition that the universe cannot exist without a creator by asserting that the creator of the Universe must have the same restrictions. This, in turn, may lead to a problem of infinite regress wherein each new presumed creator of a creator is itself presumed to have its own creator. A common challenge to theistic propositions of a creator deity as a necessary first-cause explanation for the universe is the question: "Who created God?" Some faith traditions have such an element as part of their doctrine. Jainism posits that the universe is eternal and has always existed. Isma'ilism rejects the idea of God as the first cause, due to the doctrine of God's incomparability and source of any existence including abstract objects.

Perspectives

Osho writes:

No, don't ask that. That's what all the religions say – don't ask who created God. But this is strange – why not? If the question is valid about existence, why does it become invalid when it is applied to God? And once you ask who created God, you are falling into a regress absurdum.

John Humphreys writes:

... if someone were able to provide the explanation, we would be forced to embark upon what philosophers call an infinite regress. Having established who created God, we would then have to answer the question of who created God's creator.

Alan Lurie writes:

In response to one of my blogs about God's purpose in the creation of the universe, one person wrote, "All you've done is divert the question. If God created the Universe, who created God? That is a dilemma that religious folks desperately try to avoid." The question, "Who created God?", has been pondered by theologians for millennia, and the answer is both surprisingly obvious and philosophically subtle ... whatever one thinks about the beginnings of the Universe, there is "something" at the very origin that was not created. This is an inescapable given, a cosmic truth.

Joseph Smith stated in the King Follett discourse:

God himself was once as we are now, and is an exalted man, and sits enthroned in yonder heavens! That is the great secret. If the veil were rent today, and the great God who holds this world in its orbit, and who upholds all worlds and all things by His power, was to make himself visible—I say, if you were to see him today, you would see him like a man in form—like yourselves in all the person, image, and very form as a man ... it is necessary we should understand the character and being of God and how He came to be so; for I am going to tell you how God came to be God. We have imagined and supposed that God was God from all eternity. I will refute that idea, and take away the veil ... It is the first principle of the gospel to know for a certainty the character of God, and to know that we may converse with Him as one man converses with another, and that He was once a man like us; yea, that God himself, the Father of us all, dwelt on an earth, the same as Jesus Christ Himself did ... Is it logic to say that a spirit is immortal and yet has a beginning? Because if a spirit has a beginning, it will have an end. ... All the fools and learned and wise men from the beginning of creation who say that man had a beginning prove that he must have an end. If that were so, the doctrine of annihilation would be true. But if I am right, I might with boldness proclaim from the house tops that God never did have power to create the spirit of man at all. God himself could not create himself. Intelligence exists upon a self-existent principle; it is a spirit from age to age, and there is no creation about it. Moreover, all the spirits that God ever sent into the world are susceptible to enlargement.

Responses

Defenders of religion have countered that, by definition, God is the first cause, and thus that the question is improper:

We ask, "If all things have a creator, then who created God?" Actually, only created things have a creator, so it's improper to lump God with his creation. God has revealed himself to us in the Bible as having always existed.

Ray Comfort, author and evangelist, writes:

No person or thing created God. He created "time," and because we dwell in the dimension of time, reason demands that all things have a beginning and an end. God, however, dwells outside of the dimension of time. He moves through time as we flip through a history book...He dwells in "eternity," having no beginning or end.

Tzvi Freeman writes on the official Chabad website:

Ibn Sina, the preeminent Arabic philosopher, answered this question a thousand years ago, when he described G-d as non-contingent, absolute existence. If so, to ask "Why is there G-d?" is the equivalent of asking, "Why is there is-ness?"

Atheists counter that there is no reason to assume the universe was created. The question becomes irrelevant if the universe is presumed to have circular time instead of linear time, undergoing an infinite series of big bangs and big crunches on its own.

John Lennox, professor of Mathematics at Oxford writes:

Now Dawkins candidly tells us that he does not like people telling him that they also do not believe in the God in which he does not believe. But we cannot afford to base our arguments on his dislikes. For, whether he likes it or not, he openly invites the charge. After all, it is he who is arguing that God is a delusion. In order to weigh his argument we need first of all to know what he means by God. And his main argument is focussed on a created God. Well, several billion of us would share his disbelief in such a god. He needn't have bothered. Most of us have long since been convinced of what he is trying to tell us. Certainly, no Christian would ever dream of suggesting that God was created. Nor, indeed, would Jews or Muslims. His argument, by his own admission, has nothing to say about an eternal God. It is entirely beside the point. Dawkins should shelve it on the shelf marked 'Celestial Teapots' where it belongs. For the God who created and upholds the universe was not created – he is eternal. He was not 'made' and therefore subject to the laws that science discovered; it was he who made the universe with its laws. Indeed, that fact constitutes the fundamental distinction between God and the universe. The universe came to be, God did not.

Knotted protein

From Wikipedia, the free encyclopedia
https://en.wikipedia.org/wiki/Knotted_protein
The rotating view of a smoothed chain of a knotted protein (PDB ID: 1xd3)

Knotted proteins are proteins whose backbones entangle themselves in a knot. One can imagine pulling a protein chain from both termini, as though pulling a string from both ends. When a knotted protein is “pulled” from both termini, it does not get disentangled. Knotted proteins are very rare, making up only about one percent of the proteins in the Protein Data Bank, and their folding mechanisms and function are not well understood. Although there are experimental and theoretical studies that hint to some answers, systematic answers to these questions have not yet been found.

Although number of computational methods have been developed to detect protein knots, there are still no completely automatic methods to detect protein knots without necessary manual intervention due to the missing residues or chain breaks in the X-ray structures or the nonstandard PDB formats.

Most of the knots discovered in proteins are deep trefoil (31) knots. Figure eight knots (41), three-twist knots (52), Stevedore knots (61) and Septoil knot (71) have also been discovered. Recently, use of machine learning techniques for predicting protein structure, resulted in highly accurate prediction of 63 knot. Furthermore, using same techniques, composite knots (namely 31#31) were found and crystallised.

Four knot types identified in proteins: the 31 knot (upper left), the 41 knot (upper right), the 52 knots (lower left) and the 61 knot (lower right). These images were produced by KnotPlot. Note that the 31 knot has in fact two distinct forms: left-handed and right-handed. What is shown here is a right-handed 31 knot.

Mathematical interpretation

Mathematically, a knot is defined as a subset of three-dimensional space that is homeomorphic to a circle. According to this definition, a knot must exist in a closed loop, while knotted proteins instead exist within open, unclosed chains. In order to apply mathematical knot theory to knotted proteins, various strategies can be used to create an artificial closed loop. One such strategy is to choose a point in space at infinite distance to be connected to the protein's N- and C-termini through a virtual bond, thus the protein can be treated as a closed loop. Another such strategy is to use stochastic methods that create random closures.

(A) A protein is an open chain. (B) To create a closed loop, we pick a point at an infinite distance, and connect it to the N and C termini, thus the whole topological structure becomes a closed loop.

Depth of the knot

The depth of a protein knot relates to the ability of the protein to resist unknotting. A deep knot is preserved even though the removal of a considerable number of residues from either end does not destroy the knot. The higher the number of residues that can be removed without destroying the knot, the deeper the knot.

Formation of knots

Considering how knots may be produced with a string, the folding of knotted proteins should involve first the formation of a loop, and then the threading of one terminus through the loop. This is the only topological way that the trefoil knot can be formed. For more complex knots, it is theoretically possible to have the loop to twist multiple times around itself, meaning that one end of the chain gets wrapped around at least once, and then threading to occur. It has also been observed in a theoretical study that a 61 knot can form by the C-terminus threading through a loop, and another loop flipping over the first loop, as well as the C-terminus threading through both the loops which have previously flipped over each other.

The folding of knotted proteins may be explained by interaction of the nascent chain with the ribosome. In particular, the affinity of the chain to the ribosome surface may result in creation of the loop, which may be next threaded by a nascent chain. Such mechanism was shown to be plausible for one of the most deeply knotted proteins known.

There have been experimental studies involving YibK and YbeA, knotted proteins containing trefoil knots. It has been established that these knotted proteins fold slowly, and that the knotting in folding is the rate limiting step. In another experimental study, a 91-residue-long protein was attached to the termini of YibK and YbeA. Attaching the protein to both termini produces a deep knot with about 125 removable residues on each terminus before the knot is destroyed. Yet it was seen that the resulting proteins could fold spontaneously. The attached proteins were shown to fold more quickly than YibK and YbeA themselves, so during folding they are expected to act as plugs at either end of YibK and YbeA. It was found that attaching the protein to the N-terminus did not alter the folding speed, but the attachment to the C-terminus slows folding down, suggesting that the threading event happens at the C-terminus. The chaperones, although facilitate the protein knotting, are not crucial in proteins' self-tying.

Other topologically complex structures in proteins

A possible slipknot in a protein. If the terminus is cut from the red line (1), a trefoil knot is created (2).

The class of knotted proteins contains only structures, for which the backbone, after closure forms a knotted loop. However, some proteins contain "internal knots" called slipknots, i.e. unknotted structures containing a knotted subchain. Another topologically complex structure is the link formed by covalent loops, closed by disulfide bridges. Three types of disulfide-based links were identified in proteins: two versions of Hopf link (differing in chirality) and one version of Solomon link. Another complex structure arising by closing part of the chain with covalent bridge are complex lasso proteins, for which the covalent loop is threaded by the chain one or more times. Yet another complex structures arising as a result of the existence of disulfide bridges are the cystine knots, for which two disulfide bridges form a closed, covalent loop, which is threaded by third chain. The term "knot" in the name of the motif is misleading, as the motif does not contain any knotted closed cycle. Moreover, formation of the cystine knots in general is not different from the folding of an unknotted protein

Apart from closing only one chain, one may perform also the chain closure procedure for all the chains present in the crystal structure. In some cases one obtains the non-trivially linked structures, called probabilistic links.

One can also consider loops in proteins formed by pieces of the main chain and the disulfide bridges and interaction via ions. Such loops can also be knotted of form links even within structures with unknotted main chain.

First discoveries

Marc L. Mansfield proposed in 1994, that there can be knots in proteins. He gave unknot scores to proteins by constructing a sphere centered at the center of mass of the alpha carbons of the backbone, with a radius twice the distance between the center of mass and the Calpha that is the farthest away from the center of mass, and by sampling two random points on the surface of the sphere. He connected the two points by tracing a geodesic on the surface of the sphere (arcs of great circles), and then connected each end of the protein chain with one of these points. Repeating this procedure a 100 times and counting the times where the knot is destroyed in the mathematical sense yields the unknot score. Human carbonic anhydrase was identified to have a low unknot score (22). Upon visually inspecting the structure, it was seen that the knot was shallow, meaning that the removal of a few residues from either end destroys the knot.

In 2000, William R. Taylor identified a deep knot in acetohydroxy acid isomeroreductase (PDB ID: 1YVE), by using an algorithm that smooths protein chains and makes knots more visible. The algorithm keeps both termini fixed, and iteratively assigns to the coordinates of each residue the average of the coordinates of the neighboring residues. It has to be made sure that the chains do not pass through each other, otherwise the crossings and therefore the knot might get destroyed. If there is no knot, the algorithm eventually produces a straight line that joins both termini.

Studies about the function of the knot in a protein

Some proposals about the function of knots have been that it might increase thermal and kinetic stability. One particular suggestion was that for the human ubiquitin hydrolase, which contains a 52 knot, the presence of the knot might be preventing it from being pulled into the proteasome. Because it is a deubiquitinating enzyme, it is often found in proximity of proteins soon to be degraded by proteasome, and therefore it faces the danger of being degraded itself. Therefore, the presence of the knot might be functioning as a plug that prevents it. This notion was further analyzed on other proteins like YbeA and YibK with computer simulations. The knots seem to tighten when they are pulled into a pore, and depending on the force with which they are pulled in, they either get stuck and block the pore, the likeliness of which increases with stronger pulling forces, or in the case of a small pulling force they might get disentangled as one terminus is pulled out of the knot. For deeper knots, it is more likely that the pore will be blocked, as there are too many residues that need to be pulled through the knot. In another theoretical study, it was found that the modeled knotted protein was not thermally stable, but it was kinetically stable. It was also shown that the knot in proteins creates the places on the verge of hydrophobic and hydrophilic parts of the chain, characteristic for active sites. This may explain why over 80% of knotted proteins are enzymes. Another study shows that knotted and slipknotted proteins constitute a significant number of membrane proteins. They comprise one of the largest groups of secondary active transporters.

Web servers to extrapolate knotted proteins

Some local programs and a number of web servers are available, providing convenient query services for knotted structures and analysis tools for detecting protein knots, including:

  • Topoly - Python package to analyze topology of polymers
  • Knot_pull - Python package for biopolymer smoothing and knot detection
  • KnotProt 2.0 - Database of proteins with knots and other entangled structures
  • AlphaKnot 2.0 - Database and server to analyze entanglement in structures predicted by AlphaFold methods
  • pKNOT - Web server for knot detection in proteins

Magic in the Greco-Roman world

Pompeian wall painting depicting a hermaphrodite sitting, left hand raised towards an old satyr approaching from behind; a maenad or bacchant brings a love potion.

Magic in the Greco-Roman world – that is, ancient Greece, ancient Rome, and the other cultures with which they interacted, especially ancient Egypt – comprises supernatural practices undertaken by individuals, often privately, that were not under the oversight of official priesthoods attached to the various state, community, and household cults and temples as a matter of public religion. Private magic was practiced throughout Greek and Roman cultures as well as among Jews and early Christians of the Roman Empire. Primary sources for the study of Greco-Roman magic include the Greek Magical Papyri, curse tablets, amulets, and literary texts such as Ovid's Fasti and Pliny the Elder's Natural History.

Terminology

Pervasive throughout the Eastern Mediterranean and Western Asia until late antiquity and beyond, mágos, "Magian" or "magician", was influenced by (and eventually displaced) Greek goēs (γόης), the older word for a practitioner of magic, to include astrology, alchemy and other forms of esoteric knowledge. This association was in turn the product of the Hellenistic fascination for (Pseudo-)Zoroaster, who was perceived by the Greeks to be the "Chaldean", founder of the Magi and inventor of both astrology and magic, a meaning that still survives in the modern-day words "magic" and "magician".

Authors William Swatos and Peter Kivisto define magic as "any attempt to control the environment or the self by means that are either untested or untestable, such as charms or spells."

General

While Herodotus, Xenophon, and Plutarch used magos in connection with their descriptions of Zoroastrian religious beliefs or practices, the majority seem to have understood it in the sense of "magician". Accordingly, the more skeptical writers then also identified the "magicians" – i.e. individual mages – as charlatans or frauds. In Plato's Symposium (202e), the Athenian identified them as maleficent, allowing however a measure of efficacy as a function of the god Eros. Pliny paints them in a particularly bad light.

According to one source magic in general was held in low esteem and condemned by speakers and writers. Betz notes book burnings in regards to texts such as the Greek Magical Papyri, when he cites Ephesus in the Acts of the Apostles (Acts 19: 19). And on the account of Suetonius, Augustus ordered the burning of 2,000 magical scrolls in 13 BCE. Betz states:

As a result of these acts of suppression, the magicians and their literature went underground. The papyri themselves testify to this by the constantly recurring admonition to keep the books secret. [...] The religious beliefs and practices of most people were identical with some form of magic, and the neat distinctions we make today between approved and disapproved forms of religion – calling the former "religion" and "church" and the latter "magic" and "cult" – did not exist in antiquity except among a few intellectuals. It is known that philosophers of the Neopythagorean and Neoplatonic schools, as well as Gnostic and Hermetic groups, used magical books and hence must have possessed copies. But most of their material vanished and what we have left are their quotations.

Albrecht Dieterich noted the importance of the Greek Magical Papyri for the study of ancient religions because most of the texts combine several religions, Egyptian, Greek, or Jewish, among others.

According to Robert Parker, "magic differs from religion as weeds differ from flowers, merely by negative social evaluation"; magic was often seen as consisting of practices that range from silly superstition to the wicked and dangerous. However, magic seems to have borrowed from religion, adopting religious ceremonies and divine names, and the two are sometimes difficult to clearly distinguish. Magic is often differentiated from religion in that it is manipulative rather than supplicatory of the deities. Some mainstream religious rites openly set out to constrain the gods. Other rough criteria sometimes used to distinguish magic from religion include: aimed at selfish or immoral ends; and conducted in secrecy, often for a paying client. Religious rites, on the other hand, are more often aimed at lofty goals such as salvation or rebirth, and are conducted in the open for the benefit of the community or a group of followers.

Religious ritual had the intended purpose of giving a god their just due honor, or asking for divine intervention and favor, while magic is seen as practiced by those who seek only power, and often undertaken based on a false scientific basis. Ultimately, the practice of magic includes rites that do not play a part in worship, and are ultimately irreligious. Associations with this term tend to be an evolving process in ancient literature, but generally speaking ancient magic reflects aspects of broader religious traditions in the Mediterranean world, that is, a belief in magic reflects a belief in deities, divination, and words of power. The concept of magic however came to represent a more coherent and self-reflective tradition exemplified by magicians seeking to fuse varying non-traditional elements of Greco-Roman religious practice into something specifically called magic. This fusing of practices reached its peak in the world of the Roman Empire in the 3rd to 5th centuries CE. Thorndike comments: "Greek science at its best was not untainted by magic".

The magic papyri we have left to study, present more Graeco-Egyptian, rather than Graeco-Roman beliefs. Betz further notes:

In this syncretism, the indigenous ancient Egyptian religion has in part survived, in part been profoundly Hellenized. In its Hellenistic transformation, the Egyptian religion of the pre-Hellenistic era appears to have been reduced and simplified, no doubt to facilitate its assimilation into Hellenistic religion as the predominant cultural reference. It is quite clear that the magicians who wrote and used the Greek papyri were Hellenistic in outlook. Hellenization, however, also includes the Egyptianizing of Greek religious traditions. The Greek magical papyri contain many instances of such Egyptianizing transformations, which take very different forms in different texts or layers of tradition.

History

Magic in Homeric times

In Greek literature, the earliest magical operation that supports a definition of magic as a practice aimed at trying to locate and control the secret forces (the sympathies and antipathies that make up these forces) of the world (physis φύσις) is found in Book X of the Odyssey (a text stretching back to the early 8th century BCE). Book X describes the encounter of the central hero Odysseus with Circe, "She who is sister to the wizard Aeetes, both being children of the Sun...by the same mother, Perse the daughter of the Ocean," on the island of Aeaea. In the story Circe's magic consists in the use of a wand against Odysseus and his men while Odysseus's magic consists of the use of a secret herb called moly (revealed to him by the god Hermes, "god of the golden wand") to defend himself from her attack. In the story three requisites crucial to the idiom of "magic" in later literature are found:

  1. The use of a mysterious tool endowed with special powers (the wand).
  2. The use of a rare magical herb.
  3. A divine figure that reveals the secret of the magical act (Hermes).

These are the three most common elements that characterize magic as a system in the later Hellenistic and greco-Roman periods of history.

Another important definitional element to magic is also found in the story. Circe is presented as being in the form of a beautiful woman (a temptress) when Odysseus encounters her on an island. In this encounter Circe uses her wand to change Odysseus' companions into swine. This may suggest that magic was associated (in this time) with practices that went against the natural order, or against wise and good forces (Circe is called a witch by a companion of Odysseus). In this mode it is worth noting that Circe is representative of a power (the Titans) that had been conquered by the younger Olympian gods such as Zeus, Poseidon and Hades.

Magic in Classical Greece

The 6th century BCE gives rise to scattered references of magoi at work in Greece. Many of these references representing a more positive conceptualisation of magic. Among the most famous of these Greek magoi, between Homer and the Hellenistic period, are the figures of Orpheus, Pythagoras, and Empedocles.

Orpheus

Orpheus is a mythical figure, said to have lived in Thrace "a generation before Homer" (though he is in fact depicted on 5th-century ceramics in Greek costume). Orphism, or the Orphic Mysteries, seems also to have been central to the personages of Pythagoras and Empedocles, who lived in the 6th and 5th centuries BCE. Pythagoras for example is said to have described Orpheus as "the...father of melodious songs". Since Aeschylus (the Greek playwright) later describes him as he who "haled all things by the rapture of his voice," this suggests belief in the efficacy of song and voice in magic. Orpheus is certainly associated with a great many deeds, the most famous perhaps being his descent to the underworld to bring back his wife, Eurydice. Orpheus' deeds are not usually condemned or spoken of negatively. This suggests that some forms of magic were more acceptable. Indeed, the term applied to Orpheus to separate him, presumably, from magicians of ill repute is theios aner or 'divine man'.

Pythagoras

Pythagoras of Samos

Magical powers were also attributed to the famous mathematician and philosopher Pythagoras (c. 570 – 495 BCE), as recorded in the days of Aristotle. The traditions concerning Pythagoras are somewhat complicated because the number of Vitae that do survive are often contradictory in their interpretation of the figure of Pythagoras.

Some of the magical acts attributed to him include:

  1. Being seen at the same hour in two cities.
  2. A white eagle permitting him to stroke it.
  3. A river greeting him with the words "Hail, Pythagoras!"
  4. Predicting that a dead man would be found on a ship entering a harbor.
  5. Predicting the appearance of a white bear and declaring it was dead before the messenger reached him bearing the news.
  6. Biting a venomous snake to death (or in some versions driving a snake out from a village). These stories also hint at Pythagoras being one of these "divine man" figures, theios aner, his ability to control animals and to transcend space and time showing he has been touched by the gods.

Empedocles

Empedocles (c. 490 – c. 430 BCE) too has ascribed to him marvelous powers associated with later magicians: that is, he is able to heal the sick, rejuvenate the old, influence the weather and summon the dead. E.R. Dodds in his 1951 book, The Greeks and the Irrational, argued that Empedocles was a combination of poet, magus, teacher, and scientist.

It is important to note that after Empedocles, the scale of magical gifts in exceptional individuals shrinks in the literature, becoming specialized. Individuals might have the gift of healing, or the gift of prophecy, but are not usually credited with a wide range of supernatural powers as are magoi like Orpheus, Pythagoras and Empedocles. Plato reflects such an attitude in his Laws (933a-e) where he takes healers, prophets and sorcerers for granted. He acknowledges that these practitioners existed in Athens (and thus presumably in other Greek cities), and they had to be reckoned with and controlled by laws; but one should not be afraid of them, their powers are real, but they themselves represent a rather low order of humanity. An early Christian analogy is found in the 1st century CE writings of the Apostle Paul. Paul's First Letter to the Corinthians conceptualizes the idea of a limitation of spiritual gifts.

Magic in the Hellenistic period

The ascendancy of Christianity by the fifth century had much to do with this. This is reflected by the Acts of the Apostles, where Paul the Apostle convinces many Ephesians to bring out their magical books and burn them. The language of the magical papyri reflects various levels of literary skill, but generally they are standard Greek, and in fact they may well be closer to the spoken language of the time than to poetry or artistic prose left to us in literary texts. Many terms are borrowed, in the papyri, it would seem, from the mystery cults; thus magical formulas are sometimes called teletai (literally, "celebration of mysteries"), or the magician himself is called mystagogos (the priest who leads the candidates for initiation). Much Jewish lore and some of the names for God also appear in the magical papyri. Iao for Yahweh, Sabaoth, and Adonai appear quite frequently for example. As magicians are concerned with secrets it must have seemed to many outsiders of Judaism that Yahweh was a secret deity, for after all no images were produced of the Jewish God and God's real name was not pronounced.

The texts of the Greek magical papyri are often written as we might write a recipe: "Take the eyes of a bat..." for example. So in other words the magic requires certain ingredients, much as Odysseus required the herb moly to defeat the magic of Circe. But it is not just as simple as knowing how to put a recipe together. Appropriate gestures, at certain points in the magical ritual, are required to accompany the ingredients, different gestures it would seem produce various effects. A magical ritual done in the right way can guarantee the revealing of dreams and the talent of interpreting them correctly. In other cases certain spells allow one to send out a daemon or daemons to harm one's enemies or even to break up someone's marriage.

This self-defined negative aspect to magic (as opposed to other groups defining the practice as negative) is found in various curse tablets (tabellae defixionum) left to us from the Greco-Roman world. The term defixio is derived from the Latin verb defigere, which means literally "to pin down", but which was also associated with the idea of delivering someone to the powers of the underworld. It was also possible to curse an enemy through a spoken word, either in his presence or behind his back. But due to numbers of curse tablets that have been found, it would seem that this type of magic was considered more effective. The process involved writing the victim's name on a thin sheet of lead along with varying magical formulas or symbols, then burying the tablet in or near a tomb, a place of execution, or a battlefield, to give spirits of the dead power over the victim. Sometimes the curse tablets were even transfixed with various items – such as nails, which were believed to add magical potency.

For most magic acts or rituals, there existed magics to counter the effects. Amulets were one of the most common protections (or counter-magics) used in the Greco-Roman world as protection against such fearful things as curses and the evil eye, which were seen as very real by most of its inhabitants. While amulets were often made of cheap materials, precious stones were believed to have special efficacy. Many thousands of carved gems were found that clearly had a magical rather than an ornamental function.  Amulets were also made of organic material, such as beetles. Amulets were a very widespread type of magic, because of the fear of other types of magic such as curses being used against oneself. Thus amulets were actually often a mixture of various formulas from Babylonian, Egyptian, and Greek elements that were probably worn by those of most affiliations so as to protect against other forms of magic. Amulets are often abbreviated forms of the formulas found in the extant magical papyri.

Magical tools were thus very common in magical rituals. Tools were probably just as important as the spells and incantations that were repeated for each magical ritual. A magician's kit, probably dating from the third century, was discovered in the remains of the ancient city of Pergamon in Anatolia and gives direct evidence of this. The find consisted of a bronze table and base covered with symbols, a dish (also decorated with symbols), a large bronze nail with letters inscribed on its flat sides, two bronze rings, and three black polished stones inscribed with the names of supernatural powers.

What emerges then, from this evidence, is the conclusion that a type of permanence and universality of magic had developed in the Greco-Roman world by the Hellenistic period if not earlier. The scholarly consensus strongly suggests that although many testimonies about magic are relatively late, the practices they reveal are almost certainly much older. However, the level of credence or efficacy given to magical practices in the early Greek and Roman worlds by comparison to the late Hellenistic period is not well known.

High and low magic

Magical operations largely fall into two categories: theurgy (θεουργία) defined as high magic, and goetia (γοητεία) as low magic. Theurgy in some contexts appears simply to glorify the kind of magic that is being practiced – usually a respectable priest-like figure is associated with the ritual. Of this, scholar E. R. Dodds claims:

Proclus grandiloquently defines theurgy as, 'a power higher than all human wisdom, embracing the blessings of divination, the purifying powers of initiation, and in a word all operations of divine possession' (Theol. Plat. p. 63). It may be described more simply as magic applied to a religious purpose and resting on a supposed revelation of a religious character. Whereas vulgar magic used names and formula of religious origin to profane ends, theurgy used the procedures of vulgar magic primarily to a religious end.

— E. R. Dodds, The Greek and the Irrational

In a typical theurgical rite, contact with divinity occurs either through the soul of the theurgist or medium leaving the body and ascending to heaven, where the divinity is perceived, or through the descent of the divinity to earth to appear to the theurgist in a vision or a dream. In the latter case, the divinity is drawn down by appropriate "symbols" or magical formulae. According to the Greek philosopher Plotinus (205–270), theurgy attempts to bring all things in the universe into sympathy, and man into connection with all things via the forces that flow through them. Theurgia connoted an exalted form of magic, and philosophers interested in magic adopted this term to distinguish themselves from the magoi or góētes (γόητες, singular γόης góēs, "sorcerer, wizard") – lower-class practitioners. Goetia was a derogatory term connoting low, specious or fraudulent mageia. Goetia is similar in its ambiguity to charm: it means both magic and power to (sexually) attract.

Personages of the Roman Empire

There are several notable historical personages of the 1st century CE who have many of the literary characteristics earlier associated with the Greek "divine men" (Orpheus, Pythagoras and Empedocles). Of particular note are Jesus of Nazareth, Simon Magus and Apollonius of Tyana. From an outsider's point of view Jesus was a typical miracle-worker. He exorcised daemons, healed the sick, made prophecies and raised the dead. As Christianity grew and became seen as a threat to established traditions of religion in the Greco-Roman world (particularly to the Roman Empire with its policy of emperor worship) Jesus (and by inference his followers) were accused of being magic users. Certainly Christian texts such as the Gospels told a life story full of features common to divinely touched figures: Jesus' divine origin, his miraculous birth, and his facing of a powerful daemon (Satan) being but a few examples. The gospel of Matthew claims that Jesus was taken to Egypt as an infant. This was used by hostile sources to explain his knowledge of magic; according to one rabbinical story, he came back tattooed with spells.[ It is also argued in rabbinical tradition that Jesus was mad, which was often associated with people of great power (dynamis). Scholars such as Morton Smith have even tried to argue that Jesus was a magician. Morton Smith, in his book, Jesus the Magician, points out that the Gospels speak of the "descent of the spirit", the pagans of "possession by a daemon". According to Morton Smith both are explanations for very similar phenomena. If so this shows the convenience that using the term "magic" had in the Roman Empire – in delineating between what "they do and what you do". However Barry Crawford, currently Co-Chair of the Society of Biblical Literature's Consultation on Redescribing Christian Origins, in his 1979 review of the book states that "Smith exhibits an intricate knowledge of the magical papyri, but his ignorance of current Gospel research is abysmal", concluding that the work has traits of a conspiracy theory.

Simon is the name of a magus mentioned in the canonical book of Acts 8:9ff, in apocryphal texts and elsewhere. In the Book of Acts Simon the Magus is presented as being deeply impressed by the apostle Peter's cures and exorcisms and by the gift of the Spirit that came from the apostles' laying on of hands; therefore, he "believed and was baptized". But Simon asks the apostles to sell him their special gift so that he can practice it too. This seems to represent the attitude of a professional magician. In other words, for Simon, the power of this new movement is a kind of magic that can be purchased – perhaps a common practice for magicians in parts of the Greco-Roman world. The Apostles response to Simon was emphatic in its rejection. The early church drew a strong line of demarcation between what it practiced and the practices of magic users. As the church continued to develop this demarcation Simon comes under even greater scrutiny in later Christian texts. The prominent Christian author Justin Martyr for example, claims that Simon was a magus of Samaria, and that his followers committed the blasphemy of worshiping Simon as God. The veracity of this is not certain, but proves the desire of the early Christians to escape an association with magic.

The third magus of interest in the period of the Roman Empire is Apollonius of Tyana (c. 40 CE – c. 120 AD). Between 217 and 238 Flavius Philostratus wrote his Life of Apollonius of Tyana, a lengthy, but unreliable novelistic source. Philostratus was a protégé of the empress Julia Domna, mother of the emperor Caracalla. According to him, she owned the memoirs of one Damis, an alleged disciple of Apollonius, and gave these to Philostratus as the raw material for a literary treatment. Some scholars believe the memoirs of Damis are an invention of Philostratus, others think it was a real book forged by someone else and used by Philostratus. The latter possibility is more likely. In any case it is a literary fake. From Philostratus' biography Apollonius emerges as an ascetic traveling teacher. He is usually labeled a new Pythagoras, and at the very least he does represent the same combination of philosopher and magus that Pythagoras was. According to Philostratus Apollonius traveled far and wide, as far as India, teaching ideas reasonably consistent with traditional Pythagorean doctrine; but in fact, it is most likely that he never left the Greek East of the Roman Empire. In Late Antiquity talismans allegedly made by Apollonius appeared in several Greek cities of the Eastern Roman Empire, as if they were sent from heaven. They were magical figures and columns erected in public places, meant to protect the cities from plagues and other afflictions.

Jewish tradition

Jewish tradition, too, has attempted to define certain practices as "magic". Some Talmudic teachers (and many Greeks and Romans) considered Jesus a magician, and magical books such as the Testament of Solomon and the Eighth Book of Moses were ascribed to Solomon and Moses in antiquity. The Wisdom of Solomon, a book considered apocryphal by many contemporary Jews and Christians (probably composed in the first century BCE) claims that

God... gave me true knowledge of things, as they are: an understanding of the structure of the world and the way in which elements work, the beginning and the end of eras and what lies in-between... the cycles of the years and the constellations... the thoughts of men... the power of spirits... the virtue of roots... I learned it all, secret or manifest.

Thus Solomon was seen as the greatest scientist, but also the greatest occultist of his time, learned in astrology, plant magic, daemonology, divination, and physika (φυσική "science"). These are the central aims of magic as an independent tradition – knowledge and power and control of the mysteries of the cosmos. Such aims can be viewed negatively or positively by ancient authors. The Jewish historian Josephus for example, writes that: "God gave him [Solomon] knowledge of the art that is used against daemons, in order to heal and benefit men". Elsewhere however, "there was an Egyptian false prophet [a magician] that did the Jews more mischief... for he was a cheat".

The idea of magic can thus be an idiom loosely defined in ancient thinking. But whether magic is viewed negatively or positively the substance of it as a practice can be drawn out. That is, that magic was a practice aimed at trying to locate and control the secret forces of the cosmos, and the sympathies and antipathies that were seen to make up these forces.

Authors of the Roman Empire

The Natural History of Pliny the Elder (23/24–79 CE) is a voluminous survey of knowledge of the late Hellenistic era, based according to Pliny on a hundred or so earlier authorities. This rather extensive work deals with an amazing variety of issues: cosmology, geography, anthropology, zoology, botany, pharmacology, mineralogy, metallurgy and many others. Pliny was convinced of the powers of certain herbs or roots as revealed to humanity by the gods. Pliny argued that the divine powers in their concern for the welfare of humanity wish for humanity to discover the secrets of nature. Pliny indeed argues that in their wisdom the gods sought to bring humans gradually closer to their status; which certainly many magical traditions seek – that is by acquiring knowledge one can aspire to gain knowledge even from the gods. Pliny expresses a firm concept is firmly being able to understand this "cosmic sympathy" that, if properly understood and used, operates for the good of humanity.

While here lies expressed the central tenets of magic Pliny is by no means averse to using the term "magic" in a negative sense. Pliny argues that the claims of the professional magicians were either exaggerated or simply false. Pliny expresses an interesting concept when he states that those sorcerers who had written down their spells and recipes despised and hated humanity (for spreading their lies perhaps?). To show this Pliny linked arts of the magicians of Rome with the emperor Nero (who is often portrayed negatively), whom Pliny claims had studied magic with the best teachers and had access to the best books, but was unable to do anything extraordinary.

Pliny's conclusion, however, is cautious: though magic is ineffective and infamous, it nevertheless contains "shadows of truth", particularly of the "arts of making poisons". Yet, Pliny states, "there is no one who is not afraid of spells" (including himself presumably). The amulets and charms that people wore as a kind of preventive medicine he neither commends or condemns, but instead suggests that it is better to err on the side of caution, for, who knows, a new kind of magic, a magic that really works, may be developed at any time.

If such an attitude prevailed in the Greco-Roman world this may explain why professional magicians, such as Simon Magus, were on the lookout for new ideas. Pliny devotes the beginning of Book 30 of his work to the magi of Persia and refers to them here and there especially in Books 28 and 29. Pliny defines the Magi at times as sorcerers, but also seems to acknowledge that they are priests of a foreign religion, along the lines of the druids of the Celts in Britain and Gaul. According to Pliny, the art of the magi touches three areas: "healing", "ritual", and "astrology".

In his treatise On Superstition, Plutarch defines superstition as "fear of the gods". Specifically, he mentions that fear of the gods leads to the need to resort to magical rites and taboos, the consultation of professional sorcerers and witches, amulets and incantations, and unintelligible language in prayers addressed to the gods. Although Plutarch himself takes dreams and omens seriously, he reserves superstition for those who have excessive or exclusive faith in such phenomena. He also takes for granted other magical practices, such as hurting someone by the evil eye. He also believes in daemons that serve as agents or links between gods and human beings and are responsible for many supernatural events in human life that are commonly attributed to divine intervention. Thus, a daemon, not Apollo himself, is the everyday power behind the Pythia. Some daemons are good, some are evil, but even the good ones, in moments of anger, can do harmful acts. In general then, Plutarch actually accepts much of what we today might define as superstition in itself. So what he is really defining as superstition are those practices not compatible with his own philosophical doctrine.

A later Platonist, Apuleius (born c. 125), gives us a substantial amount of information on contemporary beliefs in magic, though perhaps through no initial choice of his own. Apuleius was accused of practicing magic, something outlawed under Roman law. The speech he delivered in his own defense against the charge of magic, in c. 160 CE, remains and it is from this Apologia that we learn how easy it was, at that time, for a philosopher to be accused of magical practices. Perhaps in a turn of irony or even a tacit admission of guilt, Apuleius, in his Metamorphoses (or The Golden Ass), which perhaps has autobiographical elements, allows the hero, Lucius, to dabble in magic as a young man, get into trouble, be rescued by the goddess Isis, and then finds true knowledge and happiness in her mysteries.

Like Plutarch, Apuleius seems to take for granted the existence of daemons. They populate the air and seem to, in fact, be formed of air. They experience emotions just like human beings, and despite this their minds are rational. In light of Apuleuis' experience it is worth noting that when magic is mentioned in Roman laws, it is always discussed in a negative context. A consensus was established quite early in Roman history for the banning of anything viewed as harmful acts of magic. A Roman law for example forbade anyone from enticing their neighbors' crops into their own fields by magic. An actual trial for alleged violation of these laws was held before Spurius Albinus in 157 BCE. It is also recorded that Cornelius Hispanus expelled the Chaldean astrologers from Rome in 139 BCE ostensibly on the grounds that they were magicians.

In 33 BCE, astrologers and magicians are explicitly mentioned as having been driven from Rome. Twenty years later, Augustus ordered all books on the magical arts to be burned. In 16 CE magicians and astrologers were expelled from Italy, and this was reinstated by edicts of Vespasian in 69 CE and Domitian in 89 CE. The emperor Constantine I in the 4th century CE issued a ruling to cover all charges of magic. In it he distinguished between helpful charms, not punishable, and antagonistic spells. In these cases Roman authorities specifically decided what forms of magic were acceptable and which were not. Those that were not acceptable were termed "magic"; those that were acceptable were usually defined as traditions of the state or practices of the state's religions.

Summary

Circe Offering the Cup to Ulysses by John William Waterhouse (1891)

John Middleton argues in his article "Theories of Magic" in the Encyclopaedia of Religion that: "Magic is usually defined subjectively rather than by any agreed upon content. But there is a wide consensus as to what this content is. Most peoples in the world perform acts by which they intend to bring about certain events or conditions, whether in nature or among people, that they hold to be the consequences of those acts."

Under this view, the various aspects of magic that described, despite how the term "magic" may be defined by various groupings within the Greco-Roman world, is in fact part of a broader cosmology shared by most people in the ancient world. But it is important to seek an understanding of the way that groups separate power from power, thus "magic" often describes an art or practices that are much more specific. This art is probably best described, as being the manipulation of physical objects and cosmic forces, through the recitation of formulas and incantations by a specialist (that is a magus) on behalf of him/herself or a client to bring about control over or action in the divine realms. The Magical texts examined in this article, then, are ritual texts designed to manipulate divine powers for the benefit of either the user or clients. Because this was something done in secret or with foreign methods these texts represent an art that was generally looked upon as illegitimate by official or mainstream magical cults in societies.

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