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Chapter 12: Logic, Computation, and Incompleteness

Chapter 12: Logic, Computation, and Incompleteness

pp. 437-483

Authors

, Grinnell College, Iowa
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Summary

Our development of a formal definition of computability in the previous chapter might have seemed out of place. We used our generation template and some simple references to propositional connectives and (bounded) quantifiers, but otherwise there was seemingly little connection to logic. In this chapter, we establish that computability and logic are fundamentally intertwined.

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