Results 51 to 60 of about 1,084 (180)
Kripke's Reduction of Löb's Theorem to the Second Incompleteness Theorem
Theoria, Volume 92, Issue 3, June 2026.ABSTRACT In this paper, we discuss Kripke's reduction of Löb's Principle to the Second Incompleteness Theorem. We have a closer look at the non‐constructive character of the reduction. We reflect on what the argument has to tell us. In the Appendix, We give a strengthening of Löb's Principle suggested by Kripke's reduction.
Albert Visser
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A Two-Part Defense of Intuitionistic Mathematics
Stance: an international undergraduate philosophy journal, 2021 The classical interpretation of mathematical statements can be seen as comprising two separate but related aspects: a domain and a truth-schema. L. E. J. Brouwer’s intuitionistic project lays the groundwork for an alternative conception of the objects in this domain, as well as an accompanying intuitionistic truth-schema.
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Neutrosophic Circular-arc Graphs and Proper circular-arc Graphs [PDF]
Neutrosophic Sets and SystemsGraph theory is a fundamental branch of mathematics that studies networks made up of nodes (vertices) and connections (edges). A key concept in graph theory is the intersection graph, where vertices represent sets, and edges are drawn between vertices if
Florentin Smarandache, Takaaki Fujita
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Kripke on Gödel Incompleteness
Theoria, Volume 92, Issue 3, June 2026.ABSTRACT This paper surveys six of Saul Kripke's highly creative ideas and results on Gödel incompleteness, from when he was an undergraduate to last publications. These include his extension of incompleteness from sentences to predicates, his model‐theoretic proof of incompleteness of arithmetic, his compelling analysis of incompleteness in terms of ...
Daniel Isaacson
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Ramsey's Theorem and the Pigeonhole Principle in Intuitionistic Mathematics
Journal of the London Mathematical Society, 1993 At first sight, the argument which F. P. Ramsey gave for (the infinite case of) his famous theorem from 1927, is hopelessly unconstructive. If suitably reformulated, the theorem is true intuitionistically as well as classically: we offer a proof which should convince both the classical and the intuitionistic reader.
Veldman, W., Bezem, M.A.
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Evaluation Method and Impact of Clean Energy on the Ecotourism Competitiveness of Townships
Engineering Reports, Volume 8, Issue 5, May 2026.This study develops an integrated evaluation framework to analyse the impact of clean energy adoption on the ecotourism competitiveness of rural townships. By applying the fuzzy Delphi method (FDM), analytic network process (ANP) and DEMATEL, the research identifies and prioritizes key indicators linking clean energy, sustainability and tourism ...
Yi Yao, Li Fu
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On the density and the structure of the Peirce-like formulae [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 Within the language of propositional formulae built on implication and a finite number of variables $k$, we analyze the set of formulae which are classical tautologies but not intuitionistic (we call such formulae - Peirce's formulae).
Antoine Genitrini +2 more
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International Transactions in Operational Research, Volume 33, Issue 2, Page 719-774, March 2026.Abstract The transformative potential of artificial intelligence (AI) ChatBots, leveraging natural language processing for information retrieval and knowledge synthesis, has garnered attention across diverse fields, including research. Recognizing AI's importance, researchers and policymakers are actively engaged in its development.
Cinzia Daraio +2 more
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Noûs, Volume 60, Issue 1, Page 136-160, March 2026.Abstract It is well‐recognized in the sciences that a multitude of nonequivalent models are used by researchers to fulfill a range of goals, even for the same target system, a result known broadly as model pluralism. The possibility of the same form of pluralism occurring in logic, however, has not been adequately considered.
Ben Martin
wiley +1 more source
Logical Relativism Through Logical Contexts
European Journal of Analytic Philosophy, 2021 We advance an approach to logical contexts that grounds the claim that logic is a local matter: distinct contexts require distinct logics. The approach results from a concern about context individuation, and holds that a logic may be constitutive of a ...
Jonas R. Becker Arenhart
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