Abstract
Continuing the discussion above, we came to identify “valid proof” with “proof in first order logic,” proved complete by Gödel. And we came to identify effective procedures with procedures which could be carried out (or somehow simulated) by Turing machines.
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Notes
- 1.
Indeed it is sufficient if β, applied once, yields B under the precondition that both A and B hold.
- 2.
Akbar was the grandfather of Shah Jehan who built the Taj Mahal in memory of his wife Mumtaz.
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Thanks to Johan van Benthem, Jongjin Kim and Eric Pacuit for comments.
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Parikh, R. (2011). Is There a Logic of Society?. In: van Benthem, J., Gupta, A., Parikh, R. (eds) Proof, Computation and Agency. Synthese Library, vol 352. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0080-2_2
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