Using Mathematical Modeling as an Example of Qualitative Reasoning in Metaphysics. A Note on a Defense of the Theory of Ideas

Skowron, Bartłomiej

doi:10.15439/2015f397

Cited by 3 publications

(3 citation statements)

References 18 publications

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“…Of course, Professor Woleński has taken up the subject of methods in philosophy many times (comp [26] and [27]). I will not discuss the methods indicated above, as such a description has been made many times [4], [7], [21], [25], [29]. On the other hand, I want to focus on newer methods or procedures of analytical philosophy, i.e.…”

Section: Methods Procedures Rules Operationsmentioning

confidence: 99%

About Some New Methods of Analytical Philosophy. Formalization, De-formalization and Topological Hermeneutics

Kaczmarek

2020

Studia Humana

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In this article I want to continue the characteristics of philosophical methods specific to analytical philosophy, which were and are important for Professor Jan Woleński. So I refer to his work on the methods of analytical philosophy, but I also point out a few new methods that have grown up in the climate of studies of philosophers, especially analytical ontologists. I will therefore describe the following methods: generalization, specialization, formalization, de-formalization and topological hermeneutics. Instead of the term “method” I use interchangeably the terms “operation” or “procedure”. I will show that each of these operations makes an important contribution to ontological investigations, and, in particular, to formal ontology.

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Section: Methods Procedures Rules Operationsmentioning

confidence: 99%

About Some New Methods of Analytical Philosophy. Formalization, De-formalization and Topological Hermeneutics

Kaczmarek

2020

Studia Humana

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“…The understanding of negation elaborated in this paper can also be applied to reject Aristotle's argument. More details about how our considerations are related to this metaphysical disagreement can be found in (Skowron, 2015).…”

Section: Acknowledgementmentioning

confidence: 99%

Negating as turning upside down

Skowron

Kubiś

2018

Studies in Logic, Grammar and Rhetoric

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In order to understand negation as such, at least since Aristotle’s time, there have been many ways of conceptually modelling it. In particular, negation has been studied as inconsistency, contradictoriness, falsity, cancellation, an inversion of arrangements of truth values, etc. In this paper, making substantial use of category theory, we present three more conceptual and abstract models of negation. All of them capture negation as turning upside down the entire structure under consideration. The first proposal turns upside down the structure almost literally; it is the well known construction of opposite category. The second one treats negation as a contravariant functor and the third one captures negation as adjointness. Traditionally, negation was investigated in the context of language as negation of sentences or parts of sentences, e.g. names. On the contrary we propose to negate structures globally. As a consequence of our approach we provide a solution to the ontological problem of the existence of negative states of affairs.

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“…Próba analizy tego wątku została podjęta w innej pracy(Skowron 2015).Realizm w filozofii matematyki: Gödel i Ingarden…”

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Przegląd Filozoficzny. Nowa Seria

Skowron,

Wójtowicz

2020

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W kwestii istnienia przedmiotów matematycznych (jak liczby, funkcje, permutacje, grupy, przestrzenie liniowe etc.) można zająć dwa zasadniczo różne stanowiska. Badacz o nastawieniu realistycznym uzna, że istnieją one w taki lub inny sposób poza umysłami matematyków, iż są samodzielne i niezależne od poznających je podmiotów. Zainteresowany podmiot może co najwyżej się im przyglądać i badać ich własności oraz zachodzące pomiędzy nimi stosunki -nie może zaś nic w nich zmieniać oraz nie ma wpływu na ich istnienie. Drugi pogląd -w szerokim sensie antyrealistyczny -ma zupełnie inny charakter: zgodnie z nim, przedmioty matematyczne są pochodną ludzkiego poznania bądź stanowią użyteczne konwencje -ewentualnie są one przydatnymi fikcjami. Sprawny matematyk w tym ujęciu jest wyćwiczonym mistrzem "gry w konwencje" do tego stopnia, że wyniki jego pracy sprawdzają się w innych naukach, a w szczególności w fizyce.Realizm matematyczny jest roboczym stanowiskiem filozoficznym bardzo wielu matematyków. Często słyszy się żartobliwe stwierdzenia, że matematyk jest od poniedziałku do piątku realistą, w weekendy zaś dopiero staje się antyrealistą, np. formalistą. Źródłem realizmu jest doświadczenie obcowania z pewną rzeczywistą sferą, którą trzeba poznać -i nie jest to oczywiście łatwe. Matema-

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Using Mathematical Modeling as an Example of Qualitative Reasoning in Metaphysics. A Note on a Defense of the Theory of Ideas

Cited by 3 publications

References 18 publications

About Some New Methods of Analytical Philosophy. Formalization, De-formalization and Topological Hermeneutics

About Some New Methods of Analytical Philosophy. Formalization, De-formalization and Topological Hermeneutics

Negating as turning upside down

Przegląd Filozoficzny. Nowa Seria

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