Titlebook: Logical Studies of Paraconsistent Reasoning in Science and Mathematics; Holger Andreas,Peter Verdée Book 2016 Springer International Publi

只看該作者 · 發(fā)表于 2025-3-26 23:43:43

Paradoxes of Expression,resents a serious challenge to the detachment-free framework because it threatens to trivialize the system, just as Curry’s original paradox does for the more standard paraconsistent approach to the paradoxes.

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只看該作者 · 發(fā)表于 2025-3-27 07:44:16

Book 2016te how contemporary paraconsistent logics can be used to better understand human reasoning in science and mathematics. Offering a variety of perspectives, they shed a new light on the question of whether paraconsistent logics can function as the underlying logics of inconsistent but useful scientifi

只看該作者 · 發(fā)表于 2025-3-27 11:38:03

From Paraconsistent Logic to Dialetheic Logic, obtained by combining connectives from different traditions of paraconsistency, and has some distinctive features such as its propositional fragment being Post complete. The logic is presented in a Hilbert-style calculus, and the soundness and completeness results are established.

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On the Methodology of Paraconsistent Logic,s. A methodology due to Graham Priest and Richard Routley and another methodology that focuses on a minimal shrinkage of expressiveness relative to a given reference logic are considered in some detail.

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只看該作者 · 發(fā)表于 2025-3-28 05:01:32

Inconsistency in , Imagination,d so-called non-normal or impossible worlds. The latter secure lack of closure under classical logical consequence for the relevant mental states, while the variability of strictness captures how the agent imports information from actuality in the imagined non-actual scenarios. The proposed formal s

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On the Preservation of Reliability, depends upon what you put in; and as the grandest mill in the world will not extract wheat-flour from peascod, so pages of formulae will not get a definite result out of loose date” (Thomas Huxley (1869) ., Presidential Address to the Geological Society). Reasoning in science is a rich and complex

只看該作者 · 發(fā)表于 2025-3-28 10:28:34

Prospects for Triviality,hing is true, in which no mathematical “catastrophe” is implied by mathematical triviality. I will show that either one of the premises of Dunn’s trivialization result for real number theory –on which Mortensen mounts his case– cannot obtain (from a point of view “external” to the universe) and thus

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