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Wyszukujesz frazę "non-classical logic" wg kryterium: Temat


Wyświetlanie 1-8 z 8
Tytuł:
Opis szeregujący a logiki wielowartościowe. J. N. Martina próba interpretacji systemu Łukasiewicza
Ordering description and many-valued logics. J. N. Martin’s attempt at interpretation of Lukasiewicz’s system
Autorzy:
Lechniak, Marek
Powiązania:
https://bibliotekanauki.pl/articles/2016146.pdf
Data publikacji:
2001
Wydawca:
Katolicki Uniwersytet Lubelski Jana Pawła II. Towarzystwo Naukowe KUL
Tematy:
logika nieklasyczna. logika wielowartościowa
negacje
historia filozofii
neoplatonizm
podział logiczny
klasyfikacja
szeregowanie
non-classical logic
many-valued logic
negation(s)
history of philosophy
neoplatonism
logical division
classification
ordering
Opis:
The article presents two attempts at applying J. Lukas iewicz's three-valued logic to analysis of the so-called gradable properties: T. Czeżowski's so-called ordering logics and J. Martin's attempt to connect Lukas iewicz's logic and the neo-Platonian hierarchy of entities. Unfortunately, those attempts were not successful. It can be noticed that in his approach Czeżowski mixed up gradability of truth with gradability of other properties. Martin found that Lukasiewicz's enriching of the division between truth and falsity with a third value suggests some neo-Platonian ontology in which truth - interchangeable with entity - is subject to gradation. However, he does not give an intuitively convincing way of reducing Lukas iewicz's threevalued logic to the corresponding Boole's algebra of compound properties (hence, to a structure belonging to the classical logic).
Źródło:
Roczniki Filozoficzne; 2001, 49, 1; 167-183
0035-7685
Pojawia się w:
Roczniki Filozoficzne
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Logika formalna czy logiki formalne?
Formal Logic or Formal Logics?
Autorzy:
Kiczuk, Stanisław
Powiązania:
https://bibliotekanauki.pl/articles/2013349.pdf
Data publikacji:
2007
Wydawca:
Katolicki Uniwersytet Lubelski Jana Pawła II. Towarzystwo Naukowe KUL
Tematy:
logika
funktor prawdziwościowy
logika standardowa
logika nieklasyczna
wielowartościowy rachunek zdań
logika klasyczna
logic
truth-functional operator
standard logic
non-classical logic
many-valued propositional calculus
classical logic
Opis:
Apart from putting the theses contained in E. Agazzi’s work Why Is It Logical to Admit Several Logics? in an order and making them more distinct, an attempt is made to draw conclusions from the explicit wordings used by that author. Some theses presented in the text are shown against the views of other authors who discussed analogous problems. In this way, as it seems, modification, completing and elaborating has been possible of wordings that approve of the thesis about the existence of many logics that are contained in the analyzed text. Among others, the article emphasizes that Agazzi’s pronouncements about relations existing between standard logic and intuitionist logic cannot be accepted. Also, several remarks are made about the so-called many-valued logics. Agazzi’s theses that well constructed non-classical logics representing proper contents are necessary for representatives of various branches of knowledge is acceptable.
Źródło:
Roczniki Filozoficzne; 2007, 55, 1; 129-157
0035-7685
Pojawia się w:
Roczniki Filozoficzne
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
„O pewnym kryterium wyboru poprawnej logiki. Na marginesie uwag Ananda J. Vaidyi
The Criterion of the Choice of a Correct Logic. On Anand J. Vaidya’s Remarks
Autorzy:
Czernecka-Rej, Bożena
Powiązania:
https://bibliotekanauki.pl/articles/2013033.pdf
Data publikacji:
2009
Wydawca:
Katolicki Uniwersytet Lubelski Jana Pawła II. Towarzystwo Naukowe KUL
Tematy:
poprawny system logiczny
stała logiczna
prawo logiki
logika klasyczna i nieklasyczna
metafizyczny determinizm
correct logical system
logical constant
law of logic
classical and non-classical logic
metaphysical determinism
Opis:
The purpose of this paper is to show the criterion of the choice of a correct logic. According to Vaidya such the criterion may be formulated only on the foundation of a philosophy of logic. The main elements of the laws of logic are logical constants. In fact logic is not the theory of variables, but the theory of logical constants. So, the goal of a correct logical system is to analyse in a proper way what logical constants are.
Źródło:
Roczniki Filozoficzne; 2009, 57, 2; 41-60
0035-7685
Pojawia się w:
Roczniki Filozoficzne
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Uwagi o systemie logiki formalnej skonstruowanym dla logików nieformalnych
Remarks on the System of Formal Logic Construed for Informal Logicians
Autorzy:
Kiczuk, Stanisław
Powiązania:
https://bibliotekanauki.pl/articles/2012940.pdf
Data publikacji:
2010
Wydawca:
Katolicki Uniwersytet Lubelski Jana Pawła II. Towarzystwo Naukowe KUL
Tematy:
funktor prawdziwościowy
logika nieformalna
logika nieklasyczna
klasyczny rachunek zdań
truth-functional operator
informal logic
non-classical logic
classical propositional calculus
Opis:
D. Sherry’s main theses included in his essay entitled “Formal Logic for Informal Logicians” are presented in the article. In a discussion with his theses it is shown that he prefers this kind of logic that has a lot of elements that are the same as in Aristotle’s logic understood as the art of thinking and the technique of discussion taken from Topics, and not the logic that was started in his Prior Analytics. It is also shown that not only patterns of inferring, but also the theses of logic, as well as theses to which no patterns correspond, that are guarantee reliability of inference patterns, may be intuitively obvious. In the article also attention is drawn to the fact that the PL- system of logic presented by Sherry was characterized by him by means of a rather poor logical terminology. In the American author’s argument there are no clear distinctions between the thesis of logic, the logical inference pattern and the rule of the procedure of proving. However, it can be established that the PL- system is constituted by argumentation patterns that are reliable owing to such theses of propositional logic as modus potens, modus tollens, disjunctive syllogism, conjunctive syllogism, complex destructive dilemma, and the two rules concerning creating proofs, i.e. the rule of conditional proof and the rule of reduction to the absurd. In the PL- system there are fewer theses than in the classical propositional calculus, but this has nothing in common with the so-called multivalent logics to which some theses of classical logic supposedly do not apply. Everything suggests that some systems of non-classical logic systems may be built on the PL- system; namely, the ones in which theses are given that govern the correct use of non-extensional operators connected with key terms appearing in many sciences, like e.g. “time”, “change”, “causality”. Sherry’s essay reveals that he is a supporter of the thesis that knowledge of formal logic is necessary for using informal logic efficiently, which is necessary for teaching logic properly.
Źródło:
Roczniki Filozoficzne; 2010, 58, 1; 95-108
0035-7685
Pojawia się w:
Roczniki Filozoficzne
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Logics with Impossibility as the Negation and Regular Extensions of the Deontic Logic D2
Autorzy:
Mruczek-Nasieniewska, Krystyna
Nasieniewski, Marek
Powiązania:
https://bibliotekanauki.pl/articles/750018.pdf
Data publikacji:
2017
Wydawca:
Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
Tematy:
non-classical negation
modalized negation
impossibility
correspondence
regular modal logics
the smallest regular deontic logic D2
Opis:
In [1] J.-Y. Bèziau formulated a logic called Z. Bèziau’s idea was generalized independently in [6] and [7]. A family of logics to which Z belongs is denoted in [7] by K. In particular; it has been shown in [6] and [7] that there is a correspondence between normal modal logics and logics from the class K. Similar; but only partial results has been obtained also for regular logics (see [8] and [9]). In (Došen; [2]) a logic N has been investigated in the language with negation; implication; conjunction and disjunction by axioms of positive intuitionistic logic; the right-to-left part of the second de Morgan law; and the rules of modus ponens and contraposition. From the semantical point of view the negation used by Došen is the modal operator of impossibility. It is known this operator is a characteristic of the modal interpretation of intuitionistic negation (see [3; p. 300]). In the present paper we consider an extension of N denoted by N+. We will prove that every extension of N+ that is closed under the same rules as N+; corresponds to a regular logic being an extension of the regular deontic logic D21 (see [4] and [13]). The proved correspondence allows to obtain from soundnesscompleteness result for any given regular logic containing D2, similar adequacy theorem for the respective extension of the logic N+.
Źródło:
Bulletin of the Section of Logic; 2017, 46, 3/4
0138-0680
2449-836X
Pojawia się w:
Bulletin of the Section of Logic
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Teoria kategorii i niektóre jej logiczne aspekty
Category theory and some of its logical aspects
Autorzy:
Stopa, Mariusz
Powiązania:
https://bibliotekanauki.pl/articles/690940.pdf
Data publikacji:
2018
Wydawca:
Copernicus Center Press
Tematy:
category theory
topos theory
categorical logic
propositional logic
intuitionistic logic
non-classical logic
Opis:
This article is intended for philosophers and logicians as a short partial introduction to category theory (CT) and its peculiar connection with logic. First, we consider CT itself. We give a brief insight into its history, introduce some basic definitions and present examples. In the second part, we focus on categorical topos semantics for propositional logic. We give some properties of logic in toposes, which, in general, is an intuitionistic logic. We next present two families of toposes whose tautologies are identical with those of classical propositional logic. The relatively extensive bibliography is given in order to support further studies.
Źródło:
Zagadnienia Filozoficzne w Nauce; 2018, 64; 7-58
0867-8286
2451-0602
Pojawia się w:
Zagadnienia Filozoficzne w Nauce
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A Note on Ciuciura’s mbC1
Autorzy:
Omori, Hitoshi
Powiązania:
https://bibliotekanauki.pl/articles/749998.pdf
Data publikacji:
2019
Wydawca:
Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
Tematy:
paraconsistent logic
non-deterministic semantics contra-classical logic
Opis:
This note offers a non-deterministic semantics for mbC1, introduced by Janusz Ciuciura, and establishes soundness and (strong) completeness results with respect to the Hilbert-style proof system. Moreover, based on the new semantics, we briefly discuss an unexplored variant of mbC1 which has a contra-classical flavor.
Źródło:
Bulletin of the Section of Logic; 2019, 48, 3; 161-171
0138-0680
2449-836X
Pojawia się w:
Bulletin of the Section of Logic
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Two Infinite Sequences of Pre-Maximal Extensions of the Relevant Logic E
Autorzy:
Typańska-Czajka, Lidia
Powiązania:
https://bibliotekanauki.pl/articles/749872.pdf
Data publikacji:
2019
Wydawca:
Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
Tematy:
relevant logic
non-classical logics
lattice
universal algebra
Opis:
The only maximal extension of the logic of relevant entailment E is the classical logic CL. A logic L ⊆ [E,CL] called pre-maximal if and only if L is a coatom in the interval [E,CL]. We present two denumerable infinite sequences of premaximal extensions of the logic E. Note that for the relevant logic R there exist exactly three pre-maximal logics, i.e. coatoms in the interval [R,CL].
Źródło:
Bulletin of the Section of Logic; 2019, 48, 1
0138-0680
2449-836X
Pojawia się w:
Bulletin of the Section of Logic
Dostawca treści:
Biblioteka Nauki
Artykuł
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