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Philosophical Foundations of Hajhosseini's Logics [PDF]
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
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The Logic of Khārijī Propositions [PDF]
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
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Traditional Logic and Computational Thinking
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
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Logic as a Puzzle-Solving Activity
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
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
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]
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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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
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On the prediction of Covid-19 time series: an intuitionistic fuzzy logic approach [PDF]
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
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
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