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Philosophical Foundations of Intuitionistic Logic [PDF]
Metaphysics, 2013 Intuitionistic logic, as a non-classical logic, encompasses the principles of logical reasoning which were used by L. E. J. Brouwer in developing his intuitionistic mathematics.
L Nabavi, MA Hojati, H Alaeenezhad
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Negation in Negationless Intuitionistic Mathematics
Philosophia Mathematica, 2022 AbstractThe mathematician G.F.C. Griss is known for his program of negationless intuitionistic mathematics. Although Griss’s rejection of negation is regarded as characteristic of his philosophy, this is a consequence of an executability requirement that mental constructions presuppose agents’ executing corresponding mental activity.
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Intuitionistic fuzzy lattice ordered G-modules [PDF]
Journal of Fuzzy Extension and ApplicationsThe investigation of mathematics underlines accuracy, precision, and flawlessness, yet in numerous genuine circumstances, individuals face equivocalness, ambiguity, imprecision, and so forth.
Poonam Sharma
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Complexity, 2023 Engineering and applied mathematics disciplines that involve differential equations include classical mechanics, thermodynamics, electrodynamics, and general relativity.
Mudassir Shams +4 more
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Intuitionistic quantum logic of an n-level system [PDF]
, 2009 A decade ago, Isham and Butterfield proposed a topos theoretic approach to quantum mechanics, which meanwhile has been extended by Doering and Isham so as to provide a new mathematical foundation for all of physics.
Landsman, N.P. +19 more
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Mathematics, 2021 Ranking of interval-valued intuitionistic fuzzy numbers (IVIFNs) is an important task for solving real-life Decision-Making problems. It is a potential area of research that has attracted the researchers working in fuzzy mathematics.
Jeevaraj Selvaraj, Abhijit Majumdar
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A brief note on intuitionistic fuzzy operators [PDF]
Notes on IFSThe research on intuitionistic fuzzy sets gives an extra dimension in mathematics. It has been observed that some operators including the modal operators have very interesting properties in intuitionistic fuzzy sets.
Jaydip Bhattacharya
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On Various Negative Translations [PDF]
Electronic Proceedings in Theoretical Computer Science, 2011 Several proof translations of classical mathematics into intuitionistic mathematics have been proposed in the literature over the past century. These are normally referred to as negative translations or double-negation translations. Among those, the most
Gilda Ferreira, Paulo Oliva
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Connectedness of the continuum in intuitionistic mathematics [PDF]
Mathematical Logic Quarterly, 2018 AbstractWorking in (Intuitionistic analysis) we prove a strong, constructive connectedness property of the continuum: for any non‐empty sets, A and B, if then is non‐empty. It is well known that the intuitionistic continuum is indecomposable: if and then or , but this property is essentially negative—equivalent to if A, B are non‐empty and then .
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Intuitionistic Fuzzy Topology Based on Intuitionistic Fuzzy Logic
, 2022 There are many symmetries in intuitionistic fuzzifying topology. In the present paper, the notion of intuitionistic fuzzifying topology as an extension of fuzzifying topology and a preliminary of the research on bi-intuitionistic fuzzy topology is ...
Shaoyu Zhang +2 more
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