Bulletin of the Section of Logic: Ostatnio dodane
Wyświetlanie pozycji 101-120 z 214
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Towards a Logic of Value and Disagreement via Imprecise Measures
(Wydawnictwo Uniwersytetu Łódzkiego, 2021-06-30)After putting forward a formal account of value disagreement via imprecise measures, I develop a logic of value attribution and of (dis)agreement based on (exact) truthmaker semantics. -
Reasoning about Social Phenomena
(Wydawnictwo Uniwersytetu Łódzkiego, 2021-06-30) -
What Is the Sense in Logic and Philosophy of Language
(Wydawnictwo Uniwersytetu Łódzkiego, 2020-06-30)In the paper, various notions of the logical semiotic sense of linguistic expressions – namely, syntactic and semantic, intensional and extensional – are considered and formalised on the basis of a formal-logical conception ... -
Compounding Objects
(Wydawnictwo Uniwersytetu Łódzkiego, 2020-06-30)We prove a characterization theorem for filters, proper filters and ultrafilters which is a kind of converse of Łoś's theorem. It is more natural than the usual intuition of these terms as large sets of coordinates, which ... -
Cantor on Infinitesimals. Historical and Modern Perspective
(Wydawnictwo Uniwersytetu Łódzkiego, 2020-06-30)In his 1887's Mitteilungen zur Lehre von Transfiniten, Cantor seeks to prove inconsistency of infinitesimals. We provide a detailed analysis of his argument from both historical and mathematical perspective. We show that ... -
Computer-supported Analysis of Positive Properties, Ultrafilters and Modal Collapse in Variants of Gödel's Ontological Argument
(Wydawnictwo Uniwersytetu Łódzkiego, 2020-06-30)Three variants of Kurt Gödel's ontological argument, proposed by Dana Scott, C. Anthony Anderson and Melvin Fitting, are encoded and rigorously assessed on the computer. In contrast to Scott's version of Gödel's argument ... -
Completeness, Categoricity and Imaginary Numbers: The Debate on Husserl
(Wydawnictwo Uniwersytetu Łódzkiego, 2020-06-30)Husserl's two notions of "definiteness" enabled him to clarify the problem of imaginary numbers. The exact meaning of these notions is a topic of much controversy. A "definite" axiom system has been interpreted as a ... -
Formal Methods and Science in Philosophy: Introduction to the Special Issue
(Wydawnictwo Uniwersytetu Łódzkiego, 2020-06-30)Introduction to the Special Issue. -
Four-valued expansions of Dunn-Belnap's logic (I): Basic characterizations
(Wydawnictwo Uniwersytetu Łódzkiego, 2020-12-30)Basic results of the paper are that any four-valued expansion L4 of Dunn-Belnap's logic DB4 is de_ned by a unique (up to isomorphism) conjunctive matrix ℳ4 with exactly two distinguished values over an expansion 4 of a De ... -
Length Neutrosophic Subalgebras of BCK=BCI-Algebras
(Wydawnictwo Uniwersytetu Łódzkiego, 2020-12-30)Given i, j, k ∈ {1,2,3,4}, the notion of (i, j, k)-length neutrosophic subalgebras in BCK=BCI-algebras is introduced, and their properties are investigated. Characterizations of length neutrosophic subalgebras are discussed ... -
Empirical Negation, Co-Negation and the Contraposition Rule II: Proof-Theoretical Investigations
(Wydawnictwo Uniwersytetu Łódzkiego, 2020-12-30)We continue the investigation of the first paper where we studied logics with various negations including empirical negation and co-negation. We established how such logics can be treated uniformly with R. Sylvan's CCω as ... -
From Intuitionism to Brouwer's Modal Logic
(Wydawnictwo Uniwersytetu Łódzkiego, 2020-12-30)We try to translate the intuitionistic propositional logic INT into Brouwer's modal logic KTB. Our translation is motivated by intuitions behind Brouwer's axiom p →☐◊p The main idea is to interpret intuitionistic implication ... -
The Phenomenology of Second-Level Inference: Perfumes in The Deductive Garden
(Wydawnictwo Uniwersytetu Łódzkiego, 2020-12-30)We comment on certain features that second-level inference rules commonly used in mathematical proof sometimes have, sometimes lack: suppositions, indirectness, goal-simplification, goal-preservation and premise-preservation. ... -
Equality Logic
(Wydawnictwo Uniwersytetu Łódzkiego, 2020-11-04)In this paper, we introduce and study a corresponding logic to equality-algebras and obtain some basic properties of this logic. We prove the soundness and completeness of this logic based on equality-algebras and local ... -
Module Structure on Effect Algebras
(Wydawnictwo Uniwersytetu Łódzkiego, 2020-11-04)In this paper, by considering the notions of effect algebra and product effect algebra, we define the concept of effect module. Then we investigate some properties of effect modules, and we present some examples on them. ... -
New Modification of the Subformula Property for a Modal Logic
(Wydawnictwo Uniwersytetu Łódzkiego, 2020-11-04)A modified subformula property for the modal logic KD with the additionalaxiom □ ◊(A ∨ B) ⊃ □ ◊ A ∨ □ ◊B is shown. A new modification of the notion of subformula is proposed for this purpose. This modification forms a ... -
Empirical Negation, Co-negation and Contraposition Rule I: Semantical Investigations
(Wydawnictwo Uniwersytetu Łódzkiego, 2020-11-04)We investigate the relationship between M. De's empirical negation in Kripke and Beth Semantics. It turns out empirical negation, as well as co-negation, corresponds to different logics under different semantics. We then ... -
Proof Compression and NP Versus PSPACE II
(Wydawnictwo Uniwersytetu Łódzkiego, 2020-11-04)We upgrade [3] to a complete proof of the conjecture NP = PSPACE that is known as one of the fundamental open problems in the mathematical theory of computational complexity; this proof is based on [2]. Since minimal ... -
A Topological Approach to Tense LMn×m-Algebras
(Wydawnictwo Uniwersytetu Łódzkiego, 2020-03-30)In 2015, tense n × m-valued Lukasiewicz–Moisil algebras (or tense LMn×m-algebras) were introduced by A. V. Figallo and G. Pelaitay as an generalization of tense n-valued Łukasiewicz–Moisil algebras. In this paper we continue ... -
May the Sea-Battle Tommorow Not Happen?
(Wydawnictwo Uniwersytetu Łódzkiego, 2020-03-30)This note provides a review of the book 'On the Sea-Battle Tomorrow That May Not Happen' by Tomasz Jarmużek.