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The Logical Possibility of Halting Oracles

A halting oracle is a kind of function that can determine whether any computer program will halt.  It is commonly thought that halting oracles are logically impossible.  This is due to the common proof presented for the halting problem, which is as follows. Imagine we have a halting oracle function H(p,i), which returns “true” if… Continue Reading

Intelligence as a Halting Oracle

In his paper “Using turing oracles in cognitive models of problem-solving” Jonathan Bartlett proposes halting oracles as first class citizens in our explanations for the world, such as modeling the human mind as a halting oracle. A brief explanation: the famous computer scientist Alan Turing invented a universal machine that can copy any other machine.… Continue Reading

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