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Philosophical Foundations of Hajhosseini's Logics [PDF]

open access: yesحکمت معاصر, 2023
Recently, Morteza Hajhosseini (2023) published his second edition of the book (2017) Two Non-Classical Logic Systems, A new Outlook on Elements of Logic, where he developed various non-standard logical systems based on specific philosophical foundations.
Asadollah Fallahi
doaj   +1 more source

The Logic of Khārijī Propositions [PDF]

open access: yesحکمت سینوی, 2023
There are two general methods for interpreting and analyzing khārijī and ḥaqīqī propositions: first, by analyzing them within a unified logic; second, by assigning separate logics to khārijī and ḥaqīqī propositions.
Asadollah Fallahi
doaj   +1 more source

Traditional Logic and Computational Thinking

open access: yesPhilosophies, 2021
In this contribution, we try to show that traditional Aristotelian logic can be useful (in a non-trivial way) for computational thinking. To achieve this objective, we argue in favor of two statements: (i) that traditional logic is not classical and (ii)
J.-Martín Castro-Manzano
doaj   +1 more source

Logic as a Puzzle-Solving Activity

open access: yesAnálisis Filosófico, 2021
Some authors have recently argued in favor of anti-exceptionalism about logic. The general idea is that logic is not different from the other sciences, and its principles are as revisable as scientific principles. This paper has three sections.
Diego Tajer
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Globally Admissible Inference Rules

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2022
Setting the basic rules of inference is fundamental to logic. The most general variant of possible inference rules are admissible inference rules: in logic 𝐿, a rule of inference is admissible if the set of theorems 𝐿 is closed with respect to this rule.
V.V. Rimatskiy
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A Paradox for the Existence Predicate

open access: yesBulletin of the Section of Logic, 2022
In this paper, a paradox is shown to arise in the context of classical logic from prima facie highly plausible assumptions for the existence predicate as applied to definite descriptions.
Uwe Meixner
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On Presburger arithmetic extended with non-unary counting quantifiers [PDF]

open access: yesLogical Methods in Computer Science, 2023
We consider a first-order logic for the integers with addition. This logic extends classical first-order logic by modulo-counting, threshold-counting and exact-counting quantifiers, all applied to tuples of variables (here, residues are given as terms ...
Peter Habermehl, Dietrich Kuske
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A Finitely Axiomatized Non-Classical First-Order Theory Incorporating Category Theory and Axiomatic Set Theory

open access: yesAxioms, 2021
It is well known that Zermelo-Fraenkel Set Theory (ZF), despite its usefulness as a foundational theory for mathematics, has two unwanted features: it cannot be written down explicitly due to its infinitely many axioms, and it has a countable model due ...
Marcoen J. T. F. Cabbolet
doaj   +1 more source

On the prediction of Covid-19 time series: an intuitionistic fuzzy logic approach [PDF]

open access: yesJournal of Fuzzy Extension and Applications, 2021
This paper presents a time series analysis of a novel coronavirus, COVID-19, discovered in China in December 2019 using intuitionistic fuzzy logic system with neural network learning capability. Fuzzy logic systems are known to be universal approximation
Imo Eyo, Jeremiah Eyoh, Uduak Umoh
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LTL-Specification of Counter Machines

open access: yesМоделирование и анализ информационных систем, 2021
The article is written in support of the educational discipline “Non-classical logics”. Within the framework of this discipline, the objects of study are the basic principles and constructive elements, with the help of which the formal construction of ...
Egor V. Kuzmin
doaj   +1 more source

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