Are thinking computers mathematically possible? [7]

Is it mathematically possible for a computer to think as well as a human can? Does the mathematics of computation contain anything to prohibit machines from thinking?

Robert Horn Map 7: Are Thinking Computers Mathematically Possible?
A full-sized version of the original can be ordered here.

The questions explored in Map 7 – Are thinking computers mathematically possible? are:
  • Is mechanistic philosophy valid?
  • Does Gödel's theorem show that machines can't think?
  • Does Gödel's theorem show that machines can't be conscious?
  • Do mathematical theorems like Gödel's show that computers are intrinsically limited?
  • Does Gödel's theorem show that mathematical insight is non-algorithmic?
  • Can automata think?
  • Is the Lucas argument dialectical?
  • Can improved machines beat the Lucas argument?
  • Is the use of consistency in the Lucas argument problematic?
  • Other Lucas arguments

 

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Are thinking computers mathematically possible? [7]
A computer can apply this formula: Thought = Question * Goals.
Can computers be programmed to daydream? If so, then how?
What is common sense? Is it based on questions? Is that science?
No: computers are limited by Gödel's theorems
Yes: Automata can think
Computers conduct the action and come to automatic conclusions
Without overlap, nothing would make any sense.
RHETORIC
Can computers think? [1]
Can the Turing Test determine this? [2] 
Can Chinese Rooms think? [4] 
Protagonists
Perspectives
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