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Mechanism (philosophy)

Mechanism is the belief that natural wholes (principally living things) are similar to complicated machines or artifacts, composed of parts lacking any intrinsic relationship to each other.

The doctrine of mechanism in philosophy comes in two different flavors. They are both doctrines of metaphysics, but they are different in scope and ambitions: the first is a global doctrine about nature; the second is a local doctrine about humans and their minds, which is hotly contested. For clarity, we might distinguish these two doctrines as universal mechanism and anthropic mechanism.

There is no constant meaning in the history of philosophy for the word Mechanism. Originally, the term meant that cosmological theory which ascribes the motion and changes of the world to some external force. In this view material things are purely passive, while according to the opposite theory (i. e., Dynamism), they possess certain internal sources of energy which account for the activity of each and for its influence on the course of events; These meanings, however, soon underwent modification. The question as to whether motion is an inherent property of bodies, or has been communicated to them by some external agency, was very often ignored. With many cosmologists the essential feature of Mechanism is the attempt to reduce all the qualities and activities of bodies to quantitative realities, i. e. to mass and motion. But a further modification soon followed. Living bodies, as is well known, present at first sight certain characteristic properties which have no counterpart in lifeless matter. Mechanism aims to go beyond these appearances. It seeks to explain all "vital" phenomena as physical and chemical facts; whether or not these facts are in turn reducible to mass and motion becomes a secondary question, although Mechanists are generally inclined to favour such reduction. The theory opposed to this biological mechanism is no longer Dynamism, but Vitalism or Neo-vitalism, which maintains that vital activities cannot be explained, and never will be explained, by the laws which govern lifeless matter.[1]

— "Mechanism" in Catholic Encyclopedia (1913)

Universal mechanism

The older doctrine, here called universal mechanism, is the ancient philosophies closely linked with materialism and reductionism, especially that of the atomists and to a large extent, stoic physics. They held that the universe is reducible to completely mechanical principles—that is, the motion and collision of matter. Later mechanists believed the achievements of the scientific revolution had shown that all phenomena could eventually be explained in terms of 'mechanical' laws, natural laws governing the motion and collision of matter that implied a thorough going determinism: if all phenomena could be explained entirely through the motion of matter under the laws of classical physics, then even more surely than the gears of a clock determine that it must strike 2:00 an hour after striking 1:00, all phenomena must be completely determined: whether past, present or future.

The French mechanist and determinist Pierre Simon de Laplace formulated the sweeping implications of this thesis by saying:

We may regard the present state of the universe as the effect of the past and the cause of the future. An intellect which at any given moment knew all of the forces that animate nature and the mutual positions of the beings that compose it, if this intellect were vast enough to submit the data to analysis, could condense into a single formula the movement of the greatest bodies of the universe and that of the lightest atom; for such an intellect nothing could be uncertain and the future just like the past would be present before its eyes.

— Pierre Simon Laplace, A Philosophical Essay on Probabilities

One of the first and most famous expositions of universal mechanism is found in the opening passages of Leviathan by Thomas Hobbes (1651). What is less frequently appreciated is that René Descartes was a staunch mechanist, though today, in the philosophy of mind, he is remembered for introducing the mind–body problem in terms of dualism and physicalism.

Descartes was a substance dualist, and argued that reality was composed of two radically different types of substance: extended matter, on the one hand, and immaterial mind, on the other. Descartes argued that one cannot explain the conscious mind in terms of the spatial dynamics of mechanistic bits of matter cannoning off each other. Nevertheless, his understanding of biology was thoroughly mechanistic in nature:

I should like you to consider that these functions (including passion, memory, and imagination) follow from the mere arrangement of the machine’s organs every bit as naturally as the movements of a clock or other automaton follow from the arrangement of its counter-weights and wheels.

— René Descartes, Treatise on Man, p.108

His scientific work was based on the traditional mechanistic understanding that animals and humans are completely mechanistic automata. Descartes' dualism was motivated by the seeming impossibility that mechanical dynamics could yield mental experiences.

Isaac Newton ushered in a much weaker acceptation of mechanism that tolerated the antithetical, and as yet inexplicable, action at a distance of gravity. However, his work seemed to successfully predict the motion of both celestial and terrestrial bodies according to that principle, and the generation of philosophers who were inspired by Newton's example carried the mechanist banner nonetheless. Chief among them were French philosophers such as Julien Offray de La Mettrie and Denis Diderot (see also: French materialism).

Anthropic mechanism

The thesis in anthropic mechanism is not that everything can be completely explained in mechanical terms (although some anthropic mechanists may also believe that), but rather that everything about human beings can be completely explained in mechanical terms, as surely as can everything about clocks or the internal combustion engine.

One of the chief obstacles that all mechanistic theories have faced is providing a mechanistic explanation of the human mind; Descartes, for one, endorsed dualism in spite of endorsing a completely mechanistic conception of the material world because he argued that mechanism and the notion of a mind be logically incompatible. Hobbes, on the other hand, conceived of the mind and the will as purely mechanistic, completely explicable in terms of the effects of perception and the pursuit of desire, which in turn he held to be completely explicable in terms of the materialistic operations of the nervous system. Following Hobbes, other mechanists argued for a thoroughly mechanistic explanation of the mind, with one of the most influential and controversial expositions of the doctrine being offered by Julien Offray de La Mettrie in his Man a Machine (1748).

The main points of debate between anthropic mechanists and anti-mechanists are mainly occupied with two topics: the mind—consciousness, in particular—and free will. Anti-mechanists argue that anthropic mechanism be incompatible with our commonsense intuitions: in philosophy of mind they argue that if matter is devoid of mental properties, then the phenomenon of consciousness cannot be explained by mechanistic principles acting on matter. In metaphysics anti-mechanists argue that anthropic mechanism implies determinism about human action, which is incompatible with our experience of free will. Contemporary philosophers who have argued for this position include Norman Malcolm and David Chalmers.

Anthropic mechanists typically respond in one of two ways. In the first, they agree with anti-mechanists that mechanism conflicts with some of our commonsense intuitions, but go on to argue that our commonsense intuitions are simply mistaken and need to be revised. Down this path lies eliminative materialism in philosophy of mind, and hard determinism on the question of free will. This option is accepted by the eliminative materialist philosopher Paul Churchland. Some have questioned how eliminative materialism is compatible with the freedom of will apparently required for anyone (including its adherents) to make truth claims.[2] The second option, common amongst philosophers who adopt anthropic mechanism, is to argue that the arguments given for incompatibility are specious: whatever it is we mean by "consciousness" and "free will," be fully compatible with a mechanistic understanding of the human mind and will. As a result, they tend to argue for one or another non-eliminativist physicalist theories of mind, and for compatibilism on the question of free will. Contemporary philosophers who have argued for this sort of account include J. J. C. Smart and Daniel Dennett.

Gödelian arguments

Some scholars have debated over what, if anything, Gödel's incompleteness theorems imply about anthropic mechanism. Much of the debate centers on whether the human mind is equivalent to a Turing machine, or by the Church-Turing thesis, any finite machine at all. If it is, and if the machine is consistent, then Gödel's incompleteness theorems would apply to it.

Gödelian arguments claim that a system of human mathematicians (or some idealization of human mathematicians) is both consistent and powerful enough to recognize its own consistency. Since this is impossible for a Turing machine, the Gödelian concludes that human reasoning must be non-mechanical.

However, the modern consensus in the scientific and mathematical community is that actual human reasoning is inconsistent; that any consistent "idealized version" H of human reasoning would logically be forced to adopt a healthy but counter-intuitive open-minded skepticism about the consistency of H (otherwise H is provably inconsistent); and that Gödel's theorems do not lead to any valid argument against mechanism.[3][4][5] This consensus that Gödelian anti-mechanist arguments are doomed to failure is laid out strongly in Artificial Intelligence: "any attempt to utilize [Gödel's incompleteness results] to attack the computationalist thesis is bound to be illegitimate, since these results are quite consistent with the computationalist thesis."[6]

History

One of the earliest attempts to use incompleteness to reason about human intelligence was by Gödel himself in his 1951 Gibbs Lecture entitled "Some basic theorems on the foundations of mathematics and their philosophical implications".[7] In this lecture, Gödel uses the incompleteness theorem to arrive at the following disjunction: (a) the human mind is not a consistent finite machine, or (b) there exist Diophantine equations for which it cannot decide whether solutions exist. Gödel finds (b) implausible, and thus seems to have believed the human mind was not equivalent to a finite machine, i.e., its power exceeded that of any finite machine. He recognized that this was only a conjecture, since one could never disprove (b). Yet he considered the disjunctive conclusion to be a "certain fact".

In subsequent years, more direct anti-mechanist lines of reasoning were apparently floating around the intellectual atmosphere. In 1960, Hilary Putnam published a paper entitled "Minds and Machines," in which he points out the flaws of a typical anti-mechanist argument.[8] Informally, this is the argument that the (alleged) difference between "what can be mechanically proven" and "what can be seen to be true by humans" shows that human intelligence is not mechanical in nature. Or, as Putnam puts it:

Let T be a Turing machine which "represents" me in the sense that T can prove just the mathematical statements I prove. Then using Gödel's technique I can discover a proposition that T cannot prove, and moreover I can prove this proposition. This refutes the assumption that T "represents" me, hence I am not a Turing machine.

Hilary Putnam objects that this argument ignores the issue of consistency. Gödel's technique can only be applied to consistent systems. It is conceivable, argues Putnam, that the human mind is inconsistent. If one is to use Gödel's technique to prove the proposition that T cannot prove, one must first prove (the mathematical statement representing) the consistency of T, a daunting and perhaps impossible task. Later Putnam suggested that while Gödel's theorems cannot be applied to humans, since they make mistakes and are therefore inconsistent, it may be applied to the human faculty of science or mathematics in general. If we are to believe that it is consistent, then either we cannot prove its consistency, or it cannot be represented by a Turing machine.[9]

J. R. Lucas in Minds, Machines and Gödel (1961), and later in his book The Freedom of the Will (1970), lays out an anti-mechanist argument closely following the one described by Putnam, including reasons for why the human mind can be considered consistent.[10] Lucas admits that, by Gödel's second theorem, a human mind cannot formally prove its own consistency, and even says (perhaps facetiously) that women and politicians are inconsistent. Nevertheless, he sets out arguments for why a male non-politician can be considered consistent. These arguments are philosophical in nature and are the subject of much debate; Lucas provides references to responses on his own website.

Another work was done by Judson Webb in his 1968 paper "Metamathematics and the Philosophy of Mind".[11] Webb claims that previous attempts have glossed over whether one truly can see that the Gödelian statement p pertaining to oneself, is true. Using a different formulation of Gödel's theorems, namely, that of Raymond Smullyan and Emil Post, Webb shows one can derive convincing arguments for oneself of both the truth and falsity of p. He furthermore argues that all arguments about the philosophical implications of Gödel's theorems are really arguments about whether the Church-Turing thesis is true.

Later, Roger Penrose entered the fray, providing somewhat novel anti-mechanist arguments in his books, The Emperor's New Mind (1989) [ENM] and Shadows of the Mind (1994) [SM]. These books have proved highly controversial. Martin Davis responded to ENM in his paper "Is Mathematical Insight Algorithmic?" (ps), where he argues that Penrose ignores the issue of consistency. Solomon Feferman gives a critical examination of SM in his paper "Penrose's Gödelian argument."[12] The response of the scientific community to Penrose's arguments has been negative, with one group of scholars calling Penrose's repeated attempts to form a persuasive Gödelian argument "a kind of intellectual shell game, in which a precisely defined notion to which a mathematical result applies ... is switched for a vaguer notion".[6]

A Gödel-based anti-mechanism argument can be found in Douglas Hofstadter's book Gödel, Escher, Bach: An Eternal Golden Braid, though Hofstadter is widely viewed as a known skeptic of such arguments:

Looked at this way, Gödel's proof suggests – though by no means does it prove! – that there could be some high-level way of viewing the mind/brain, involving concepts which do not appear on lower levels, and that this level might have explanatory power that does not exist – not even in principle – on lower levels. It would mean that some facts could be explained on the high level quite easily, but not on lower levels at all. No matter how long and cumbersome a low-level statement were made, it would not explain the phenomena in question. It is analogous to the fact that, if you make derivation after derivation in Peano arithmetic, no matter how long and cumbersome you make them, you will never come up with one for G – despite the fact that on a higher level, you can see that the Gödel sentence is true.

What might such high-level concepts be? It has been proposed for eons, by various holistically or "soulistically" inclined scientists and humanists that consciousness is a phenomenon that escapes explanation in terms of brain components; so here is a candidate at least. There is also the ever-puzzling notion of free will. So perhaps these qualities could be "emergent" in the sense of requiring explanations which cannot be furnished by the physiology alone.[13]

See also

References

  1. ^ "Mechanism". Catholic Encyclopedia. Vol. 10. 1913.
  2. ^ Hans Jonas, The Phenomenon of Life: Toward a Philosophical Biology (Evanston, Illinois: Northwestern University Press, 2001/1966), p. 175.
  3. ^ Graham Oppy (20 January 2015). "Gödel's Incompleteness Theorems". Stanford Encyclopedia of Philosophy. Retrieved 27 April 2016. These Gödelian anti-mechanist arguments are, however, problematic, and there is wide consensus that they fail.
  4. ^ Stuart J. Russell; Peter Norvig (2010). "26.1.2: Philosophical Foundations/Weak AI: Can Machines Act Intelligently?/The mathematical objection". Artificial Intelligence: A Modern Approach (3rd ed.). Upper Saddle River, NJ: Prentice Hall. ISBN 978-0-13-604259-4. ...even if we grant that computers have limitations on what they can prove, there is no evidence that humans are immune from those limitations.
  5. ^ Mark Colyvan. An introduction to the philosophy of mathematics. Cambridge University Press, 2012. From 2.2.2, 'Philosophical significance of Gödel's incompleteness results': "The accepted wisdom (with which I concur) is that the Lucas-Penrose arguments fail."
  6. ^ a b LaForte, G., Hayes, P. J., Ford, K. M. 1998. Why Gödel's theorem cannot refute computationalism. Artificial Intelligence, 104:265–286, 1998.
  7. ^ Gödel, Kurt, 1951, Some basic theorems on the foundations of mathematics and their implications in Solomon Feferman, ed., 1995. Collected works / Kurt Gödel, Vol. III. Oxford University Press: 304-23.
  8. ^ Putnam, Hilary, 1960, Minds and Machines in Sidney Hook, ed., Dimensions of Mind: A Symposium. New York University Press. Reprinted in Anderson, A. R., ed., 1964. Minds and Machines. Prentice-Hall: 77.
  9. ^ The Gödel Theorem and Human Nature, a talk given by Hilary Putnam in the Gödel centenary 2006 [1]
  10. ^ Lucas, J. R., 1961, "Minds, Machines, and Gödel." Philosophy 36:112-27.
  11. ^ Webb, Judson, 1968, "Metamathematics and the Philosophy of Mind," Philosophy of Science 35: 156–78.
  12. ^ Feferman, S. (1996). "Penrose's Godelian argument", Psyche 2(7).
  13. ^ Hofstadter, Douglas R. (1979). Gödel, Escher, Bach: An Eternal Golden Braid (1st ed.). Basic Books. p. 708. ISBN 9780465026852.

External links

  • An overview of attempts to define "life"
  • Herbermann, Charles, ed. (1913). "Mechanism" . Catholic Encyclopedia. New York: Robert Appleton Company.
  • "The Lucas-Penrose Argument about Gödel's Theorem". Internet Encyclopedia of Philosophy.
  • "The Problem of Mechanism" by David L. Schindler (from Beyond Mechanism) – contrasts the Aristotelian and Cartesian views of nature and how the latter engendered the mechanical philosophy

mechanism, philosophy, mechanistic, materialism, redirects, here, confused, with, mechanical, philosophy, mechanism, belief, that, natural, wholes, principally, living, things, similar, complicated, machines, artifacts, composed, parts, lacking, intrinsic, rel. Mechanistic materialism redirects here Not to be confused with Mechanical philosophy Mechanism is the belief that natural wholes principally living things are similar to complicated machines or artifacts composed of parts lacking any intrinsic relationship to each other The doctrine of mechanism in philosophy comes in two different flavors They are both doctrines of metaphysics but they are different in scope and ambitions the first is a global doctrine about nature the second is a local doctrine about humans and their minds which is hotly contested For clarity we might distinguish these two doctrines as universal mechanism and anthropic mechanism There is no constant meaning in the history of philosophy for the word Mechanism Originally the term meant that cosmological theory which ascribes the motion and changes of the world to some external force In this view material things are purely passive while according to the opposite theory i e Dynamism they possess certain internal sources of energy which account for the activity of each and for its influence on the course of events These meanings however soon underwent modification The question as to whether motion is an inherent property of bodies or has been communicated to them by some external agency was very often ignored With many cosmologists the essential feature of Mechanism is the attempt to reduce all the qualities and activities of bodies to quantitative realities i e to mass and motion But a further modification soon followed Living bodies as is well known present at first sight certain characteristic properties which have no counterpart in lifeless matter Mechanism aims to go beyond these appearances It seeks to explain all vital phenomena as physical and chemical facts whether or not these facts are in turn reducible to mass and motion becomes a secondary question although Mechanists are generally inclined to favour such reduction The theory opposed to this biological mechanism is no longer Dynamism but Vitalism or Neo vitalism which maintains that vital activities cannot be explained and never will be explained by the laws which govern lifeless matter 1 Mechanism in Catholic Encyclopedia 1913 Contents 1 Universal mechanism 2 Anthropic mechanism 2 1 Godelian arguments 2 1 1 History 3 See also 4 References 5 External linksUniversal mechanism EditThe older doctrine here called universal mechanism is the ancient philosophies closely linked with materialism and reductionism especially that of the atomists and to a large extent stoic physics They held that the universe is reducible to completely mechanical principles that is the motion and collision of matter Later mechanists believed the achievements of the scientific revolution had shown that all phenomena could eventually be explained in terms of mechanical laws natural laws governing the motion and collision of matter that implied a thorough going determinism if all phenomena could be explained entirely through the motion of matter under the laws of classical physics then even more surely than the gears of a clock determine that it must strike 2 00 an hour after striking 1 00 all phenomena must be completely determined whether past present or future The French mechanist and determinist Pierre Simon de Laplace formulated the sweeping implications of this thesis by saying We may regard the present state of the universe as the effect of the past and the cause of the future An intellect which at any given moment knew all of the forces that animate nature and the mutual positions of the beings that compose it if this intellect were vast enough to submit the data to analysis could condense into a single formula the movement of the greatest bodies of the universe and that of the lightest atom for such an intellect nothing could be uncertain and the future just like the past would be present before its eyes Pierre Simon Laplace A Philosophical Essay on Probabilities One of the first and most famous expositions of universal mechanism is found in the opening passages of Leviathan by Thomas Hobbes 1651 What is less frequently appreciated is that Rene Descartes was a staunch mechanist though today in the philosophy of mind he is remembered for introducing the mind body problem in terms of dualism and physicalism Descartes was a substance dualist and argued that reality was composed of two radically different types of substance extended matter on the one hand and immaterial mind on the other Descartes argued that one cannot explain the conscious mind in terms of the spatial dynamics of mechanistic bits of matter cannoning off each other Nevertheless his understanding of biology was thoroughly mechanistic in nature I should like you to consider that these functions including passion memory and imagination follow from the mere arrangement of the machine s organs every bit as naturally as the movements of a clock or other automaton follow from the arrangement of its counter weights and wheels Rene Descartes Treatise on Man p 108 His scientific work was based on the traditional mechanistic understanding that animals and humans are completely mechanistic automata Descartes dualism was motivated by the seeming impossibility that mechanical dynamics could yield mental experiences Isaac Newton ushered in a much weaker acceptation of mechanism that tolerated the antithetical and as yet inexplicable action at a distance of gravity However his work seemed to successfully predict the motion of both celestial and terrestrial bodies according to that principle and the generation of philosophers who were inspired by Newton s example carried the mechanist banner nonetheless Chief among them were French philosophers such as Julien Offray de La Mettrie and Denis Diderot see also French materialism Anthropic mechanism EditThe thesis in anthropic mechanism is not that everything can be completely explained in mechanical terms although some anthropic mechanists may also believe that but rather that everything about human beings can be completely explained in mechanical terms as surely as can everything about clocks or the internal combustion engine One of the chief obstacles that all mechanistic theories have faced is providing a mechanistic explanation of the human mind Descartes for one endorsed dualism in spite of endorsing a completely mechanistic conception of the material world because he argued that mechanism and the notion of a mind be logically incompatible Hobbes on the other hand conceived of the mind and the will as purely mechanistic completely explicable in terms of the effects of perception and the pursuit of desire which in turn he held to be completely explicable in terms of the materialistic operations of the nervous system Following Hobbes other mechanists argued for a thoroughly mechanistic explanation of the mind with one of the most influential and controversial expositions of the doctrine being offered by Julien Offray de La Mettrie in his Man a Machine 1748 The main points of debate between anthropic mechanists and anti mechanists are mainly occupied with two topics the mind consciousness in particular and free will Anti mechanists argue that anthropic mechanism be incompatible with our commonsense intuitions in philosophy of mind they argue that if matter is devoid of mental properties then the phenomenon of consciousness cannot be explained by mechanistic principles acting on matter In metaphysics anti mechanists argue that anthropic mechanism implies determinism about human action which is incompatible with our experience of free will Contemporary philosophers who have argued for this position include Norman Malcolm and David Chalmers Anthropic mechanists typically respond in one of two ways In the first they agree with anti mechanists that mechanism conflicts with some of our commonsense intuitions but go on to argue that our commonsense intuitions are simply mistaken and need to be revised Down this path lies eliminative materialism in philosophy of mind and hard determinism on the question of free will This option is accepted by the eliminative materialist philosopher Paul Churchland Some have questioned how eliminative materialism is compatible with the freedom of will apparently required for anyone including its adherents to make truth claims 2 The second option common amongst philosophers who adopt anthropic mechanism is to argue that the arguments given for incompatibility are specious whatever it is we mean by consciousness and free will be fully compatible with a mechanistic understanding of the human mind and will As a result they tend to argue for one or another non eliminativist physicalist theories of mind and for compatibilism on the question of free will Contemporary philosophers who have argued for this sort of account include J J C Smart and Daniel Dennett Godelian arguments Edit Some scholars have debated over what if anything Godel s incompleteness theorems imply about anthropic mechanism Much of the debate centers on whether the human mind is equivalent to a Turing machine or by the Church Turing thesis any finite machine at all If it is and if the machine is consistent then Godel s incompleteness theorems would apply to it Godelian arguments claim that a system of human mathematicians or some idealization of human mathematicians is both consistent and powerful enough to recognize its own consistency Since this is impossible for a Turing machine the Godelian concludes that human reasoning must be non mechanical However the modern consensus in the scientific and mathematical community is that actual human reasoning is inconsistent that any consistent idealized version H of human reasoning would logically be forced to adopt a healthy but counter intuitive open minded skepticism about the consistency of H otherwise H is provably inconsistent and that Godel s theorems do not lead to any valid argument against mechanism 3 4 5 This consensus that Godelian anti mechanist arguments are doomed to failure is laid out strongly in Artificial Intelligence any attempt to utilize Godel s incompleteness results to attack the computationalist thesis is bound to be illegitimate since these results are quite consistent with the computationalist thesis 6 History Edit One of the earliest attempts to use incompleteness to reason about human intelligence was by Godel himself in his 1951 Gibbs Lecture entitled Some basic theorems on the foundations of mathematics and their philosophical implications 7 In this lecture Godel uses the incompleteness theorem to arrive at the following disjunction a the human mind is not a consistent finite machine or b there exist Diophantine equations for which it cannot decide whether solutions exist Godel finds b implausible and thus seems to have believed the human mind was not equivalent to a finite machine i e its power exceeded that of any finite machine He recognized that this was only a conjecture since one could never disprove b Yet he considered the disjunctive conclusion to be a certain fact In subsequent years more direct anti mechanist lines of reasoning were apparently floating around the intellectual atmosphere In 1960 Hilary Putnam published a paper entitled Minds and Machines in which he points out the flaws of a typical anti mechanist argument 8 Informally this is the argument that the alleged difference between what can be mechanically proven and what can be seen to be true by humans shows that human intelligence is not mechanical in nature Or as Putnam puts it Let T be a Turing machine which represents me in the sense that T can prove just the mathematical statements I prove Then using Godel s technique I can discover a proposition that T cannot prove and moreover I can prove this proposition This refutes the assumption that T represents me hence I am not a Turing machine Hilary Putnam objects that this argument ignores the issue of consistency Godel s technique can only be applied to consistent systems It is conceivable argues Putnam that the human mind is inconsistent If one is to use Godel s technique to prove the proposition that T cannot prove one must first prove the mathematical statement representing the consistency of T a daunting and perhaps impossible task Later Putnam suggested that while Godel s theorems cannot be applied to humans since they make mistakes and are therefore inconsistent it may be applied to the human faculty of science or mathematics in general If we are to believe that it is consistent then either we cannot prove its consistency or it cannot be represented by a Turing machine 9 J R Lucas in Minds Machines and Godel 1961 and later in his book The Freedom of the Will 1970 lays out an anti mechanist argument closely following the one described by Putnam including reasons for why the human mind can be considered consistent 10 Lucas admits that by Godel s second theorem a human mind cannot formally prove its own consistency and even says perhaps facetiously that women and politicians are inconsistent Nevertheless he sets out arguments for why a male non politician can be considered consistent These arguments are philosophical in nature and are the subject of much debate Lucas provides references to responses on his own website Another work was done by Judson Webb in his 1968 paper Metamathematics and the Philosophy of Mind 11 Webb claims that previous attempts have glossed over whether one truly can see that the Godelian statement p pertaining to oneself is true Using a different formulation of Godel s theorems namely that of Raymond Smullyan and Emil Post Webb shows one can derive convincing arguments for oneself of both the truth and falsity of p He furthermore argues that all arguments about the philosophical implications of Godel s theorems are really arguments about whether the Church Turing thesis is true Later Roger Penrose entered the fray providing somewhat novel anti mechanist arguments in his books The Emperor s New Mind 1989 ENM and Shadows of the Mind 1994 SM These books have proved highly controversial Martin Davis responded to ENM in his paper Is Mathematical Insight Algorithmic ps where he argues that Penrose ignores the issue of consistency Solomon Feferman gives a critical examination of SM in his paper Penrose s Godelian argument 12 The response of the scientific community to Penrose s arguments has been negative with one group of scholars calling Penrose s repeated attempts to form a persuasive Godelian argument a kind of intellectual shell game in which a precisely defined notion to which a mathematical result applies is switched for a vaguer notion 6 A Godel based anti mechanism argument can be found in Douglas Hofstadter s book Godel Escher Bach An Eternal Golden Braid though Hofstadter is widely viewed as a known skeptic of such arguments Looked at this way Godel s proof suggests though by no means does it prove that there could be some high level way of viewing the mind brain involving concepts which do not appear on lower levels and that this level might have explanatory power that does not exist not even in principle on lower levels It would mean that some facts could be explained on the high level quite easily but not on lower levels at all No matter how long and cumbersome a low level statement were made it would not explain the phenomena in question It is analogous to the fact that if you make derivation after derivation in Peano arithmetic no matter how long and cumbersome you make them you will never come up with one for G despite the fact that on a higher level you can see that the Godel sentence is true What might such high level concepts be It has been proposed for eons by various holistically or soulistically inclined scientists and humanists that consciousness is a phenomenon that escapes explanation in terms of brain components so here is a candidate at least There is also the ever puzzling notion of free will So perhaps these qualities could be emergent in the sense of requiring explanations which cannot be furnished by the physiology alone 13 See also Edit Philosophy portalAutomaton Causality Digital physics Mechanical philosophy Neural Darwinism in relation to anthropic mechanism Philosophy of physics Teleomechanism Mechanism biology References Edit Mechanism Catholic Encyclopedia Vol 10 1913 Hans Jonas The Phenomenon of Life Toward a Philosophical Biology Evanston Illinois Northwestern University Press 2001 1966 p 175 Graham Oppy 20 January 2015 Godel s Incompleteness Theorems Stanford Encyclopedia of Philosophy Retrieved 27 April 2016 These Godelian anti mechanist arguments are however problematic and there is wide consensus that they fail Stuart J Russell Peter Norvig 2010 26 1 2 Philosophical Foundations Weak AI Can Machines Act Intelligently The mathematical objection Artificial Intelligence A Modern Approach 3rd ed Upper Saddle River NJ Prentice Hall ISBN 978 0 13 604259 4 even if we grant that computers have limitations on what they can prove there is no evidence that humans are immune from those limitations Mark Colyvan An introduction to the philosophy of mathematics Cambridge University Press 2012 From 2 2 2 Philosophical significance of Godel s incompleteness results The accepted wisdom with which I concur is that the Lucas Penrose arguments fail a b LaForte G Hayes P J Ford K M 1998 Why Godel s theorem cannot refute computationalism Artificial Intelligence 104 265 286 1998 Godel Kurt 1951 Some basic theorems on the foundations of mathematics and their implications in Solomon Feferman ed 1995 Collected works Kurt Godel Vol III Oxford University Press 304 23 Putnam Hilary 1960 Minds and Machines in Sidney Hook ed Dimensions of Mind A Symposium New York University Press Reprinted in Anderson A R ed 1964 Minds and Machines Prentice Hall 77 The Godel Theorem and Human Nature a talk given by Hilary Putnam in the Godel centenary 2006 1 Lucas J R 1961 Minds Machines and Godel Philosophy 36 112 27 Webb Judson 1968 Metamathematics and the Philosophy of Mind Philosophy of Science 35 156 78 Feferman S 1996 Penrose s Godelian argument Psyche 2 7 Hofstadter Douglas R 1979 Godel Escher Bach An Eternal Golden Braid 1st ed Basic Books p 708 ISBN 9780465026852 External links EditAn overview of attempts to define life Herbermann Charles ed 1913 Mechanism Catholic Encyclopedia New York Robert Appleton Company The Lucas Penrose Argument about Godel s Theorem Internet Encyclopedia of Philosophy The Problem of Mechanism by David L Schindler from Beyond Mechanism contrasts the Aristotelian and Cartesian views of nature and how the latter engendered the mechanical philosophy Retrieved from https en wikipedia org w index php title Mechanism philosophy amp oldid 1137889819, wikipedia, wiki, book, books, library,

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