О видах отрицания de re

М. А. Смирнов

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О видах отрицания de re

С. 119–122.

In this work, it’s shown that one needs to discern two kinds of negation as a de re operation. One kind, denoted as “universal negation”, in set-theoretical semantics is linked to obtaining of a complement of a set. In certain sense, it’s equivalent to classical propositional negation. The other kind, denoted as “class negation”, has different semantic nature. It’s widely presented in ordinary and scientific thought, being at the same time connected to some ideas in sphere of non-classical logic. A non-set-theoretical semantic structure, allowing to express and investigate the properties of class negation, is proposed.

Language: Russian

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Keywords: non-classical logic negation de re non-classical negation отрицание de re неклассическая логика неклассическое отрицание

In book

Тринадцатые Смирновские чтения: материалы Междунар. науч. конф., Москва, 22–24 июня 2023 г

М.: Философский факультет МГУ, 2023.

Логика моментальности

Vasyukov V. L., Ученые записки Крымского федерального университета имени В.И. Вернадского. Философия. Политология. Культурология 2024 Т. 10 № S С. 104–112

In European philosophy, the motifs of self-nonidentity and the variability it implies are found as early as Heraclitus. The concept of changeability and self-nonidentity can also be found in the East, for example, among the Mu’tazilites, representatives of the direction of Arab-Muslim philosophy that arose in the first centuries of the formation of Islam and ...

Added: December 26, 2024

Game-theoretical interpretation of abelian logic A

Pavlova A., Logical Investigations 2019 Vol. 25 No. 2 P. 75–93

In the present paper we introduce a variation of Giles’s game that captures the semantics of Slaney and Meyer’s Abelian logic. This is a variation of the game earlier proposed for the Lukasiewicz infinitely-valued logic. We discuss two possible interpretations of this game. One of the interpretations involves a reference to different types of agents. We also give a ...

Added: September 20, 2019

The Logical Legacy of Nikolai Vasiliev and Modern Logic

Markin V., Springer, 2017.

This volume offers a wide range of both reconstructions of Nikolai Vasiliev’s original logical ideas and their implementations in the modern logic and philosophy. A collection of works put together through the international workshop "Nikolai Vasiliev’s Logical Legacy and the Modern Logic," this book also covers foundations of logic in the light of Vasiliev’s contradictory ...

Added: June 29, 2018

The Road to Universal Logic

Basel: Birkhauser/Springer, 2015.

This is the first volume of a collection of papers in honor of the fiftieth birthday of Jean-Yves Béziau. These 25 papers have been written by internationally distinguished logicians, mathematicians, computer scientists, linguists and philosophers, including Arnon Avron, John Corcoran, Wilfrid Hodges, Laurence Horn, Lloyd Humbertsone, Dale Jacquette, David Makinson, Stephen Read, and Jan Woleński. ...

Added: November 12, 2014