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    Wyświetlanie 1-10 z 10
    Tytuł:
    O platońskich ideach
    On Plato’s Doctrine of Ideas
    Autorzy:
    Dembiński, Bogdan
    Powiązania:
    https://bibliotekanauki.pl/articles/691207.pdf
    Data publikacji:
    2016
    Wydawca:
    Copernicus Center Press
    Tematy:
    philosophy of mathematics
    mathematical platonism
    history of philosophy
    Plato
    platonism
    Platonic idealism
    Opis:
    This paper is an attempt to clarify the ontological status of Platonic ideas. My considerations are based on the example of mathematical ideas and their relation to the subjects of mathematics and phenomena, since such modes of existence are distinguished in the philosophy of Plato.
    Źródło:
    Zagadnienia Filozoficzne w Nauce; 2016, 60; 83-98
    0867-8286
    2451-0602
    Pojawia się w:
    Zagadnienia Filozoficzne w Nauce
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Platonizm w strukturalistycznej refleksji nad czasoprzestrzenią. Próba aplikacji myśli filozoficznej Józefa Życińskiego.
    Platonism in Structuralit Inquiries in the Philosophy of Spacetime. An Attempt of Applying Józef Życińskis Philosophical Thought
    Autorzy:
    Luty, Damian
    Powiązania:
    https://bibliotekanauki.pl/articles/1621978.pdf
    Data publikacji:
    2017
    Wydawca:
    Uniwersytet Szczeciński. Wydawnictwo Naukowe Uniwersytetu Szczecińskiego
    Tematy:
    platonism
    spacetime
    mathematical structures
    Opis:
    The main aim of this paper is to provide an interpretative application of Józef Życiński’s philosophical work. I claim that one can find in Życiński’s thought criteria for evaluating certain positions which use platonistic concepts in order to solve specific problems in the context of philosophy of physics, especially philosophy of spacetime. After reconstructing Życiński’s philosophy, I use the derived criteria to evaluate positions of Howard Stein’s and Max Tegmark’s. I conclude that, according to criteria taken from Życiński’s philosophy, the former’s views are more plausible, and so create a better starting point in developing a platonistic structuralist position.
    Źródło:
    Analiza i Egzystencja; 2017, 39; 73-96
    1734-9923
    2300-7621
    Pojawia się w:
    Analiza i Egzystencja
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Platonizm a spór o uniwersalia. W związku z książką Pawła Rojka Tropy i uniwersalia
    Platonism and the Problem of Universals: A Polemic with Paweł Rojek’s Tropy i Uniwersalia (Tropes and Universals)
    Autorzy:
    Piwowarczyk, Marek
    Powiązania:
    https://bibliotekanauki.pl/articles/909321.pdf
    Data publikacji:
    2020-06-26
    Wydawca:
    Uniwersytet Warszawski. Wydział Filozofii
    Tematy:
    platonism
    universals
    transcendence
    inseparability
    the problem of resemblance
    Opis:
    This paper is a polemic with Paweł Rojek’s criticism of Platonism as one of the positions concerning universals. The problem of universals is taken to be about the basis of resemblance between things. Rojek maintains that Platonism is a hidden form of nominalism. Section 1 presents my understanding of the key terms concerning the controversy. Section 2 shows that Rojek’s argument begs the question: he simply presupposes that only a moderate realist has a correct concept of universal. In section 3, I argue that the Platonist argument for the transcendence of universals is valid, and I criticize Rojek’s responses to the separation argument against moderate realism. Finally, section 4 demonstrates that the transcendence of universals is compatible with their generality.
    Źródło:
    Filozofia Nauki; 2020, 28, 2; 113-133
    1230-6894
    2657-5868
    Pojawia się w:
    Filozofia Nauki
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Metafilozofia Władimira Erna
    Metaphilosophy of Vladimir Ern
    Autorzy:
    Herbich, Tomasz
    Powiązania:
    https://bibliotekanauki.pl/articles/2135652.pdf
    Data publikacji:
    2022-06-27
    Wydawca:
    Uniwersytet im. Adama Mickiewicza w Poznaniu
    Tematy:
    Vladimir Ern
    metaphilosophy
    platonism
    Russian religious-philosophical renaissance
    Opis:
    Vladimir Ern is often seen as a philosopher that focused mainly on defining the characteristic featuresof Russian philosophy. When his philosophical works are interpreted in such a way, the biggeststress is being put on the fact that he formulated a certain idea of national philosophy, which wasthen transformed by him into a kind of national ideology during the World War I. The article triesto show, that Ern should be treated first of all as an author who considered metaphilosophical issues(and that this fact distinguishes him from the majority of the philosophers of Russian religiousphilosophicalrenaissance, who were mainly interested in solving the metaphysical issues). He focusedon metaphilosophy because he was convinced, that philosophy is a field of the battle between twonotions of the essence of philosophical knowledge which exclude one another. Seen as such, hisphilosophy should be interpreted as an attempt to find a proper way in philosophy and to rejectthe wrong way. The authentic way, which gives a correct answer to the question concerning theessence of philosophical knowledge, was seen by him in Christian Platonism. He tried to show, thatin the works of Plato can be found a certain theory of the spiritual development of man, whichis at the same time a genuine epistemology that shows the way of true philosophical knowledge.
    Źródło:
    Człowiek i Społeczeństwo; 2022, 53; 171-186
    0239-3271
    Pojawia się w:
    Człowiek i Społeczeństwo
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A critical analysis of the philosophical motivations and development of the concept of the field of rationality as a representation of the fundamental ontology of the physical reality
    Autorzy:
    Grygiel, Wojciech
    Powiązania:
    https://bibliotekanauki.pl/articles/2140673.pdf
    Data publikacji:
    2022-11-08
    Wydawca:
    Copernicus Center Press
    Tematy:
    ontology
    mathematics
    platonism
    category theory
    Roger Penrose
    Alfred North Whitehead
    Opis:
    The unusual applicability of mathematics to the description of the physical reality still remains a major investigative task for philosophers, physicists, mathematicians and cognitive scientists. The presented article offers a critical analysis of the philosophical motivations and development of a major attempt to resolve this task put forward by two prominent Polish philosophers: Józef Życiński and Michał Heller. In order to explain this particular property of mathematics Życiński has first introduced the concept of the field of rationality together with the field of potentiality to be followed by Heller’s formal field and the field of categories. It turns out that these concepts are fully intelligible once located within philosophical stances on the relations between mathematics and physical reality. It will be argued that in order to achieve more extended conceptual clarification of the precise meaning of the field of rationality, further advancements in the understanding of the nature of the human mind are required.
    Źródło:
    Zagadnienia Filozoficzne w Nauce; 2022, 72; 87-108
    0867-8286
    2451-0602
    Pojawia się w:
    Zagadnienia Filozoficzne w Nauce
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Czy matematyka jest składnią języka? Kurta Gödla argument przeciwko formalizmowi
    Is Mathematics Syntax of Language? Kurt Gödel’s Argument against Formalism
    Autorzy:
    Głowacki, Maciej
    Powiązania:
    https://bibliotekanauki.pl/articles/2142987.pdf
    Data publikacji:
    2021-11-20
    Wydawca:
    Uniwersytet Warszawski. Wydział Filozofii
    Tematy:
    Kurt Gödel
    formalism
    syntactic interpretation of mathematics
    Rudolf Carnap
    platonism
    Opis:
    In this paper, I critically examine Kurt Gödel’s argument against the syntactic interpretation of mathematics. While the main aim is to analyze the argument, I also wish to underscore the relevance of the original elements of Gödel’s philosophical thought. The paper consists of four parts. In the first part, I introduce the reader to Gödel’s philosophy. In the second part, I reconstruct the formalist stance in the philosophy of mathematics, which is the object of Gödel’s criticism. In the third part, I sketch his argument against the syntactic interpretation of mathematics. Finally, I discuss some controversies regarding the argument.
    Źródło:
    Filozofia Nauki; 2021, 29, 1; 43-61
    1230-6894
    2657-5868
    Pojawia się w:
    Filozofia Nauki
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Creating new concepts in mathematics: freedom and limitations. The case of Category Theory
    Autorzy:
    Semadeni, Zbigniew
    Powiązania:
    https://bibliotekanauki.pl/articles/1047591.pdf
    Data publikacji:
    2020-12-28
    Wydawca:
    Copernicus Center Press
    Tematy:
    categories
    functors
    Eilenberg-Mac Lane Program
    mathematical cognitive transgressions
    phylogeny
    platonism
    Opis:
    In the paper we discuss the problem of limitations of freedom in mathematics and search for criteria which would differentiate the new concepts stemming from the historical ones from the new concepts that have opened unexpected ways of thinking and reasoning. We also investigate the emergence of category theory (CT) and its origins. In particular we explore the origins of the term functor and present the strong evidence that Eilenberg and Carnap could have learned the term from Kotarbiński and Tarski.
    Źródło:
    Zagadnienia Filozoficzne w Nauce; 2020, 69; 33-65
    0867-8286
    2451-0602
    Pojawia się w:
    Zagadnienia Filozoficzne w Nauce
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    O platonizmie w teorii mnogości
    On Platonism in Set Theory
    Autorzy:
    Król, Zbigniew
    Powiązania:
    https://bibliotekanauki.pl/articles/2015765.pdf
    Data publikacji:
    2003
    Wydawca:
    Katolicki Uniwersytet Lubelski Jana Pawła II. Towarzystwo Naukowe KUL
    Tematy:
    platonizm
    teoria mnogości
    hermeneutyka matematyki
    fenomenologia
    Heidegger
    konstruktywizm
    intuicjonizm
    platonism
    set theory
    hermeneutics of mathematics
    phenomenology
    constructivism
    intuitionism
    Opis:
    This article points at some (strictly) mathematical methods, which often tend to display not fully conscious treatment of mathematical reality as given, existing and already-present-there. This attitude is prequisite for mathematical research (including set theory), and not merely apsychological add-on, and the methods can be best described as „platonism as method ofenquiry in mathematics” (pl.Metod.) and „platonism as mode of existence of infinity” (pl.Niesk.). Thus, platonism becomes one of the problems internal to mathematics. Identifying pl.Metod. and pl.Niesk. as such, being described here with respect to set theory, is only astarting point in the process of grasping and explaining platonism. This requires phenomenological hermeneutics of mathematics to be conceived (cf. [Z. K.]).
    Źródło:
    Roczniki Filozoficzne; 2003, 51, 3; 225-252
    0035-7685
    Pojawia się w:
    Roczniki Filozoficzne
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Logika racjonalności. W stronę modalnego platonizmu matematycznego
    The Logic of Rationality. Towards Modal Mathematical Platonism
    Autorzy:
    Wilczek, Piotr
    Powiązania:
    https://bibliotekanauki.pl/articles/691018.pdf
    Data publikacji:
    2011
    Wydawca:
    Copernicus Center Press
    Tematy:
    Alfred N. Whitehead
    Alfred Tarski
    logical consequence
    ZFC
    second-order set theory
    forcing
    modal logics
    field of rationality
    structuralism
    platonism
    Opis:
    In this article Whitehead’s philosophy of mathematics is characterized as a Structural Second-Order Platonism and it is demonstrated that the Whiteheadian ontology is consistent with modern formal approaches to the foundation of mathematics. We follow the pathway taken by model-theoretically and semantically oriented philosophers. Consequently, it is supposed that all mathematical theories (understood as deductively closed set of sentences) determine their own models. These models exist mind-independently in the realm of eternal objects. From the metatheoretical point of view the hypothesis (posed by Józef Życiński) of the Rationality Field is explored. It is indicated that relationships between different models can be described in the language of modal logics and can further be axiomatized in the framework of the Second Order Set Theory. In conclusion, it is asserted that if any model (of a mathematical theory) is understood, in agreement with Whitehead’s philosophy, as a collection of eternal objects, which can be simultaneously realized in a single actual occasion, then our external world is governed by the hidden pattern encoded in the field of pure potentialities which constitute the above mentioned Field of Rationality. Therefore, this work can be regarded as the first step towards building a Logic of Rationality.
    Źródło:
    Zagadnienia Filozoficzne w Nauce; 2011, 49; 98-122
    0867-8286
    2451-0602
    Pojawia się w:
    Zagadnienia Filozoficzne w Nauce
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Metamorfozy Platońskiej „metafory słońca” (Respublica 509b) w hetero- i ortodoksyjnej teologii (I-III w.): gnostycyzm, Klemens z Aleksandrii i Orygenes
    The metamorphosis of the Platonic “metaphor of the sun” (Respublica 509b) in heterodox and orthodox theology (I-III centuries): gnosticism, Clement of Alexandria and Origen
    Autorzy:
    Mrugalski, Damian
    Powiązania:
    https://bibliotekanauki.pl/articles/612819.pdf
    Data publikacji:
    2017
    Wydawca:
    Katolicki Uniwersytet Lubelski Jana Pawła II
    Tematy:
    Idea Dobra
    transcendencja Boga
    platonizm
    gnostycyzm
    Klemens Aleksandryjski
    Orygenes
    wpływ greckiej filozofii na chrześcijaństwo
    Idea of the Good
    transcendence of God
    platonism
    gnosticism
    Clement of Alexandria
    Origen
    the influence of Greek philosophy on Christianity
    Opis:
    The metaphor of the sun, in which Plato (Republic 509b) compares the idea of the Good to the sun that dwells above the earth yet affects the phenomena occurring on it, was an inspiration for both heretical and orthodox theology in the first Christian centuries. The Gnostics, Clement of Alexandria and Origen all believed that God, like the Platonic idea of the Good, is radically transcendent in relation to the world, but at the same time is the cause of everything that exists in it. Unlike Plato, who believed that the idea of the Good is knowable and can be the subject of science, the Christian theologians of the first centuries believed that God was like a blinding light. This means that God, according to them, though intelligible, is unknowable in His essence. Therefore, God cannot be the subject of science. Another modification of the Platonic metaphor was the introduction of the element of sunlight, to which the philosopher from Athens did not refer. For the Gnostics, the rays of the sun were “eons” – spiritual beings that existed in the space between the first principle of all things and the material world. For Clement and Origen, the light that comes from the sun was the Son – the power and wisdom of God. In contrast to the Gnostics, who believed in the progressive degradation of the spiritual world through successive emanations, the Alexandrian Fathers believed that the Son possessed all the knowledge of God and therefore revealed to man the true God. Yet the revelation of God by the Son, and even the grace that assists human beings in the process of learning about God, do not give man complete knowledge of the essence of God. Thus the Gnostics, Clement and Origen, despite some doctrinal differences, all accepted the concept of the radical transcendence of God on the ontological and epistemological levels.
    Źródło:
    Vox Patrum; 2017, 68; 21-58
    0860-9411
    2719-3586
    Pojawia się w:
    Vox Patrum
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
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