Titlebook: V.A. Yankov on Non-Classical Logics, History and Philosophy of Mathematics; Alex Citkin,Ioannis M. Vandoulakis Book 2022 Springer Nature S

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Short Autobiography,lovsk. In 1952, I enrolled in the Department of Philosophy of Moscow State University. When I faced the “troubles” related to the ideologization in the humanities fields in the Soviet time, I decided to move to the Department of Mechanics and Mathematics in 1953. In 1956, I was expelled from the Uni

行業(yè)

Dialogues and Proofs; Yankov’s Contribution to Proof Theoryn of proofs. In both cases the method is used for providing constructive proofs of important metalogical results concerning classical logic and fundamental mathematical theories. In the first paper it is shown that impredicative extensions of intuitionistic versions of arithmetic, analysis and set t

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帽子

Tracheotomy

The Invariance Modalitygiven by a classical model endowed with a group of automorphisms, where a boxed formula is true iff it holds invariantly (i.e. it remains true whenever an automorphism is applied to the individuals it is talking about). With this interpretation, . modalities collapse, but . modalities remain quite i

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The Lattice NExtS41 as Composed of Replicas of NExtInt, and Beyondo the lattice of intermediate logics is present as a sublattice in . in many, in fact, in infinitely many places, and this pattern itself is isomorphic to a quotient lattice of .. We also designate three “dark spots” of ., three sublattices of it, where, although we can characterize the logics belon

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花爭吵

A Note on Disjunction and Existence Properties in Predicate Extensions of Intuitionistic Logic—An Apuitively, PEI’s must resemble intuitionistic logic. We discuss PEI’s from the viewpoint of disjunction property (DP) and existence property (EP). Note that DP and EP are regarded as “hallmarks” of constructivity of intuitionistic logic. There are, however, uncountably many PEI’s having both of DP an

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On V.A. Yankov’s Existential Interpretation of the Early Greek Philosophy. The Case of Heraclitusoblematic in it. Examining his broad research program in the case of Heraclitus, we show that Yankov’s contribution is that he transformed an earlier vague hypothesis about the existential problematic in the early Greek philosophy into a research problem. He challenged the interpretation of the earl