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Wyświetlanie 1-9 z 9
Tytuł:
Logicy i logika a poznanie przyrody
Logicians and Logic on Study of Nature
Autorzy:
Kiczuk, Stanisław
Powiązania:
https://bibliotekanauki.pl/articles/2013931.pdf
Data publikacji:
2005
Wydawca:
Katolicki Uniwersytet Lubelski Jana Pawła II. Towarzystwo Naukowe KUL
Tematy:
logika
funktor prawdziwościowy
funktor nieprawdziwościowy
dwuwartościowy rachunek zdań
wielowartościowy rachunek zdań
logic
truth-functional operator
not truth-functional operator
two valued propositional calculus
many-valued propositional calculus
Opis:
Starting from the 1930s logicians tackled problems connected with applicability of logic in natural sciences and in many cases they tried to practically apply logic in these sciences. In the article entitled ‘Logicians and logic on study of nature’ it is stressed that the broadly understood formal logic supplies natural sciences, and especially physics, with a paradigm for a method of ordering theses. It is also shown what application of logic laws to natural sciences consists in, and theses are formulated concerning what the laws of classical propositional calculus state. A lot of attention is devoted to the language of modern and contemporary physics. Modern and contemporary physics uses two languages, i.e. the mathematical language and the so-called notional language. The logic of the former language is classical logical calculus. In connection with the notional language logicians construed a lot of systems of non-classical logics in which laws are given that govern the correct use of non-extensional operators connected with such terms occurring in natural sciences as “time”, “cause”, “change” etc. The language of well construed systems of non-classical logics may serve saving, storing and precise communicating the results obtained on the ground of natural sciences.
Źródło:
Roczniki Filozoficzne; 2005, 53, 1; 129-142
0035-7685
Pojawia się w:
Roczniki Filozoficzne
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Some properties of coalgebras and their role in computer science
Autorzy:
Steingartner, W.
Radakovic, D.
Valkosak, F.
Macko, P.
Powiązania:
https://bibliotekanauki.pl/articles/973618.pdf
Data publikacji:
2016
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
coalgebra
functor
induction
internal state of program
observable behavior of program
SLGeometry software
koalgebra
funktor
indukcja
endofunktor
Opis:
This paper introduces basic theoretical knowledge of coalgebras in computer science. Coalgebras are, specifically in category theory, structures defined according to an endofunctor. For both algebra and coalgebra, a functor is a convenient and general way of defining a signature. We present practical usage of the coalgebras in an example. We observe a behavior of a simple Sequencer developed in SLGeometry framework. We model its behavior with the simple program written in Python, and we describe its behavior within coalgebra of endofunctor. The computation of the values stored in internal states is performed coinductively. Our approach can be used in the teaching process of formal methods for young software engineers.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2016, 15, 4; 145-156
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Uwagi o implikacji materialnej
Autorzy:
Kiczuk, Stanisław
Powiązania:
https://bibliotekanauki.pl/articles/2013479.pdf
Data publikacji:
2006
Wydawca:
Katolicki Uniwersytet Lubelski Jana Pawła II. Towarzystwo Naukowe KUL
Tematy:
logika
funktor prawdziwościowy
znak negacji
znak alternatywy
implikacja materialna
koniunkcja
logic
truth-functional operator
negation sign
disjunction sign
material implication
conjunction
Opis:
In the initial part of the article texts of some authors are analyzed concerning material implication. In the further part of the article the proposition is justified that the operator of material implication differs in quality from other truth-functional operators. The final part of the article is devoted to considerations aiming at presenting what the thesis of the classical propositional calculus, in which the main operator is the operator of material implication, denote.
Źródło:
Roczniki Filozoficzne; 2006, 54, 1; 69-80
0035-7685
Pojawia się w:
Roczniki Filozoficzne
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
O NIEKTÓRYCH PRAWACH LOGIKI I ZASADACH OGÓLNEJ TEORII BYTU
Autorzy:
Kiczuk, Stanisław
Powiązania:
https://bibliotekanauki.pl/articles/488533.pdf
Data publikacji:
2012
Wydawca:
Katolicki Uniwersytet Lubelski Jana Pawła II. Towarzystwo Naukowe KUL
Tematy:
logika współczesna
funktor prawdziwościowy
klasyczny rachunek zdań
zasada racji dostatecznej
modern logic
truth-functional operator
classical propositional calculus
principle of sufficient reason
Opis:
Some principles of general theory of being have their equivalents in laws of classical logic. For a long time this was not distinctly noticed, as logic was treated rather as technology of discussion, and not as a system of propositions stated in the objective language and concerning connections between facts. It may be generally said that some primary principles of being and some laws of logic state the same most fundamental connections between facts, between states of things. There are also principles of philosophy that do not have such equivalents in laws of logic. These include the principle of sufficient reason. The concept of intuitive truth of propositions that reappeared in modern logic first of all in connection with K. Gödel’s theorem of 1931 formed an intellectual climate that made it possible for classical logicians to accept also those principles of general theory of being that do not have equivalents in laws of standard logic. It may be said that these philosophical principles may be included in the outward basis of modern logic.
Źródło:
Roczniki Filozoficzne; 2012, 60, 2; 171-179
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:
O logice modalnej
On Modal Logic
Autorzy:
Kiczuk, Stanisław
Powiązania:
https://bibliotekanauki.pl/articles/2015670.pdf
Data publikacji:
2004
Wydawca:
Katolicki Uniwersytet Lubelski Jana Pawła II. Towarzystwo Naukowe KUL
Tematy:
konieczność logiczna
możliwość logiczna
logika modalna
funktor modalny
ścisła implikacja
logical necessity
logical possibility
modal logic
modal operator
strict implication
Opis:
The paper appreciates six conditions which, according to G.E. Hughes and M.J. Cresswell, must be respected by those formal systems which aspire to be systems of modal logic. There are few such systems. The sense of modal functors “it is necessary that,” “it is possible that,” in this type of systems is in no way made precise. The paper undermines the validity of some conditions shown by Hughes and Cresswell. It outlines the way by which to construct a system of modal logic in which the functor of logical necessity and logical possibility would be unambiguously characterised by methods of contemporary logic.
Źródło:
Roczniki Filozoficzne; 2004, 52, 1; 199-213
0035-7685
Pojawia się w:
Roczniki Filozoficzne
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Logika współczesna a matematyka i filozofia
Contemporary Logic versus Mathematics and Philosophy
Autorzy:
Kiczuk, Stanisław
Powiązania:
https://bibliotekanauki.pl/articles/2013167.pdf
Data publikacji:
2008
Wydawca:
Katolicki Uniwersytet Lubelski Jana Pawła II. Towarzystwo Naukowe KUL
Tematy:
logika współczesna
funktor prawdziwościowy
znak negacji
znak alternatywy
implikacja materialna
koniunkcja
modern logic
truth-functional operator
negation sign
disjunction sign
material implication
conjunction
Opis:
The first part of the paper shows two types of the systems of contemporary logic placed in one of J. Bocheński’s works. The second part of the paper contains Bocheński’s theses concerning contemporary logic. They have been shown against the backdrop of the views held by other authors who discussed some kin issues. In order to supplement Bocheński’s considerations a division of functors has been added. They are divided into extensional and non-extensional. Much attention has been devoted to the problems of logical constants that is rarely discussed in learned literature. It has been stressed that at least one of Bocheński’s typologies should basically be changed, having taken into account the remarks in the paper that supplement Bocheński’s analyses. The above issues have been discussed against the backdrop of the question of relations that obtain between contemporary logic, mathematics, and philosophy.
Źródło:
Roczniki Filozoficzne; 2008, 56, 2; 131-150
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:
Modalny rachunek nazw
Modal Calculus of Names
Autorzy:
Wojciechowski, Eugeniusz
Powiązania:
https://bibliotekanauki.pl/articles/2012888.pdf
Data publikacji:
2010
Wydawca:
Katolicki Uniwersytet Lubelski Jana Pawła II. Towarzystwo Naukowe KUL
Tematy:
modalność
modalność de re
modalność de dicto
funktor modalny
rachunek modalny
modalna ontologia elementarna
modality
modality de re
modality de dicto
modal operator
modal calculus
elementary modal ontology
Opis:
Sentences with the form: x is δ y, where δ is one of the modal operators (of the n/n category) is usually interpreted as rendering modalities of the de re type, as contrary to sentences included in the scheme: ΔP(x), where the modal operator Δ (of the s/s category) is semantically ambiguous (de re or de dicto). In literature treating modality as de dicto modality dominates. This results mainly from the fact that modal calculi are practiced mainly as sentential calculi, built over the classical sentential calculus, where – in the nature of things – the structure of sentences is not  analyzed. We also have some extensions of elementary ontology (Lebedev’s) with the modal operator of the is-δ (s/nn) type as the primary operator.  In the article a construction is suggested, in which an operator of the δ (n/n) type is the primitive term. It is an elementary modal ontology that is an inferential extension of one of the mentioned systems, despite a formal simplification of its axioms.
Źródło:
Roczniki Filozoficzne; 2010, 58, 2; 237-254
0035-7685
Pojawia się w:
Roczniki Filozoficzne
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-9 z 9

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