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Books > Humanities > Philosophy > Topics in philosophy > Logic
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Core Logic (Hardcover)
Loot Price: R2,519
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Core Logic (Hardcover)
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Neil Tennant presents an original logical system with unusual
philosophical, proof-theoretic, metalogical, computational, and
revision-theoretic virtues. Core Logic, which lies deep inside
Classical Logic, best formalizes rigorous mathematical reasoning.
It captures constructive relevant reasoning. And the classical
extension of Core Logic handles non-constructive reasoning. These
core systems fix all the mistakes that make standard systems harbor
counterintuitive irrelevancies. Conclusions reached by means of
core proof are relevant to the premises used. These are the first
systems that ensure both relevance and adequacy for the
formalization of all mathematical and scientific reasoning. They
are also the first systems to ensure that one can make deductive
progress with potential logical strengthening by chaining proofs
together: one will prove, if not the conclusion sought, then (even
better!) the inconsistency of one's accumulated premises. So Core
Logic provides transitivity of deduction with potential epistemic
gain. Because of its clarity about the true internal structure of
proofs, Core Logic affords advantages also for the automation of
deduction and our appreciation of the paradoxes.
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