Results 11 to 20 of about 26,770 (264)
Nicolai Vasiliev’s Imaginary Logic and Semantic Foundations for the Logic of Assent
The Russian philosopher Nicolai Vasiliev is known as a forerunner of substantially non-classical logics, i.e., logics that differ from classical logic by dropping principles that are sound in classical logic.
Werner Stelzner
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Non-classical Metatheory for Non-classical Logics [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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LTL-Specification of Bounded Counter Machines
The article revises the results of the work devoted to the problem of representing the behaviour of a program system as a set of formulas of the linear temporal logic LTL, followed by the use of this representation to verify the satisfiability of the ...
Egor V. Kuzmin
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On validity paradoxes and (some of) their solutions
Many semantic theories become trivial when extended with a naïve validity predicate due to the validity paradoxes. The non-classical semantic theories are the ones that allegedly preserve the naïveté of the validity predicate while being capable of ...
Edson Bezerra
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A Fundamental Non-Classical Logic
We give a proof-theoretic as well as a semantic characterization of a logic in the signature with conjunction, disjunction, negation, and the universal and existential quantifiers that we suggest has a certain fundamental status. We present a Fitch-style natural deduction system for the logic that contains only the introduction and elimination rules ...
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The Logic of Self-Organized Criticality
A consideration of non-classical logic in terms of classical one allows us to show a role of designated truth values. In this way we show that our version of non-classical many-valued logic can be based on the structure of genetic code.
Bakhtiyarov Kamil I.
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Validity of the laws of Non-contradiction and Excluded middle; Logical or Psychological (Review of misunderstandings and misinterpretations, self-made accusations and types of fallacies in a criticism) [PDF]
In Classical Logic, the law of non-contradiction and the law of excluded middle are considered theorems and have proof. Recently, Morteza Hajihosseini has written a book titled Two Non-Classical Logic Systems, A New Outlook on Elements of Logic (2017 ...
Morteza Hajihosseini +1 more
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Logical Paradoxes in Non-Classical Logic Systems [PDF]
It is shown that well-known logical paradoxes such as Barber paradox can be interpreted differently in non-classical logic systems such as multi-valued, continuous and quantum logic with possibility of solutions of the paradox. The results of this research can have applications in investigations of completeness of logic systems.
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Proof Complexity of Non-classical Logics [PDF]
Proof complexity is an interdisciplinary area of research utilising techniques from logic, complexity, and combinatorics towards the main aim of understanding the complexity of theorem proving procedures. Traditionally, propositional proofs have been the main object of investigation in proof complexity.
Beyersdorff, O, Kutz, O
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To teach logic to prospective mathematics teachers (Part III) [PDF]
Introduction. The article is the third part of the author’s article under the same title published in previous issues of this journal. It discusses the problem of forming the logical competencies of future mathematics teachers both at the undergraduate ...
Igoshin, Vladimir Ivanovich
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