Gödel, Escher, Bach An Eternal Golden Braid by Douglas R. Hofstadter

similar reasons. It will represent the number 2 not just by the two bits "10", but as a full-fledged concept the way we do, repl ...

Speculation: No. An intelligent program will not be chameleon-like, any more than people are. I t will rei yon the constancy of ...

Speculation: Probably the differences between AI programs and people will be larger than the differences between most people. It ...

Sloth Canon This time, we find Achilles and the Tortoise visiting the dwelling of their new friend, the Sloth. Achilles: Shall I ...

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as occur in some canons and fugues. But to learn to playa piano while hanging from a tree must be very difficult. You must have ...

CHAPTER XX Strange Loops, Or Tangled Hierarchies Can Machines Possess Originality? IN THE CHAPTER before last, I described Arthu ...

also a step of reasoning, one must resort to a yet higher-level rule, and so on. Conclusion: Reasoning involves an infinite regr ...

Unless a person designed himself and chose his own wants (as well as choosing to choose his own wants, etc.), he cannot be said ...

these intuitions are valuable and may perhaps help others a little to come to clearer formulations of their own images of what m ...

Now it is possible to go considerably further in removing the pillars by which orientation is achieved. One step at a time ... W ...

FIGURE 134. An "authorship triangle". There are three authors-Z, T, and E. Now it happens that Z exists only in a novel by T. Li ...

FIGURE 135. Drawing Hands, by M. C. Escher (lithograph, 1948). , , dro .. ~ i draw' 8 Strange Loop, Or Tangled Hierarchy (visibl ...

Brain and Mind: A Neural Tangle Supporting a Symbol Tangle Now we can relate this to the brain, as well as to AI programs. In ou ...

the picture, this is unlikely-but for humans and the way they look at their minds, this is usually what happens. Wefeel self-pro ...

rules, but which are the only source of higher-level rules anyway: the lower-level rules, which in this case means the general r ...

evidence: C. And for the validity of that meta-evidence, you need meta- meta-evidence-and so on, ad nauseam. Despite this argume ...

different AI programs. Ultimately, there are complicated criteria for decid- ing if a method of evaluation of evidence is good. ...

The upshot is that the total picture of "who I am" is integrated in some enormously complex way inside the entire mental structu ...

Can We Understand Our Own Minds or Brains? The other metaphorical analogue to Godel's Theorem which I find pro- vocative suggest ...