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"the Godelian strange loop that arises in formal systems in mathematics (i.e., collections of rules for churning out an endless series of mathematica… - Douglas Hofstadter
"the Godelian strange loop that arises in formal systems in mathematics (i.e., collections of rules for churning out an endless series of mathematical truths solely by mechanical symbol-shunting without any regard to meanings or ideas hidden in the shapes being manipulated) is a loop that allows such a system to "perceive itself", to talk about itself, to become "self-aware", and in a sense it would not be going too far to say that by virtue of having such a loop, a formal system acquires a self."
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About Douglas Hofstadter
Douglas Hofstadter (born February 15, 1945) is a mathematician, cognitive scientist, and Pulitzer Prize winning author.
Biography information from Wikiquote
Also Known As
Native Name:
Douglas Richard Hofstadter
Alternative Names:
Douglas R. Hofstadter
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Additional quotes by Douglas Hofstadter
"We have seen recursion in the grammars of languages, we have seen recursive geometrical trees, which grow upwards forever, and we have seen one way in which recursion enters the theory of solid state physics. Now we are going to see yet another way in which the whole world is built out of recursion. This has to do with the structure of elementary particles: electrons, protons, neutrons, and the tiny quanta of electromagnetic radiation called "photons". We are going to see that particles are - in a certain sense which can only be defined rigorously in relativistic quantum mechanics- nested inside each other in a way which can be described recursively, perhaps even by some sort of "grammar"."
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