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Incompleteness

Incompleteness Suppose L is a logic and H(T,x) is a statement in L expressing that Turing machine T halts on input x. Thus H(T,x) is true if and only if T halts on input x. Recall -- L is sound and effective. So: If H(T,x) is provable in L then it is true so T halts on input x.

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1.02k views • 64 slides

The Middle Ages

The Middle Ages. Early Christian Psychology & Science St Augustine Islamic Psychology & Science Ibn Sina Christian Psychology & Science St Thomas Aquinas Roger Bacon William of Occam. St Augustine (354-430 AD).

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598 views • 15 slides

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Sound logic - PowerPoint PPT Presentation

Incompleteness

The Middle Ages