Ontology in Tractatus Logico-Philosophicus: A Topological Approach

Kaczmarek, Janusz

doi:10.1515/9783110657883-024

Cited by 5 publications

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“…14 We explain below what such non-atomism would amount to, by appealing to a general topology. Kaczmarek (2019a) presents a formal construal of logical atomism inspired by the interpretation proposed by the Polish ontologist Bogusław Wolniewicz. On this reading, Wittgensteinian possible worlds (including the real world) should be viewed as a lattice in which atoms are the atomic states of affairs, and possible worlds are conjunctions of existing and nonexisting atomic states of affairs (positive and negative facts) (cf.…”

Section: Topology In Wittgenstein's Tractatusmentioning

confidence: 99%

Towards a topological philosophy

Skowron,

Kaczmarek,

Wójtowicz

2023

Metaphilosophy

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This article examines the use of mathematical concepts in philosophy, focusing on topology, which may be viewed as a modern supplement to geometry. We show that Plato and Parmenides were already employing geometric ideas in their research, and discuss three examples of the application of topology to philosophical problems: the first concerns the analysis of the Cartesian distinction between res extensa and res cogitans, the second the ontology of possible worlds of Wittgenstein's Tractatus, and the third Leibniz's monadology. We also consider the role of topology in mathematical explanations of the sort found in science, arguing that it can perform a role in philosophy that is of comparable importance.

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Section: Topology In Wittgenstein's Tractatusmentioning

confidence: 99%

Towards a topological philosophy

Skowron,

Kaczmarek,

Wójtowicz

2023

Metaphilosophy

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“…Thanks to the procedure proposed by Kelly (1996), epistemology has been significantly enriched by new concepts, and a number of interesting and surprising results have been established-something that could hardly have been imagined before. There are many more examples of the phenomenon of "overlap" between topological and philosophical ideas in epistemology, philosophy of science and ontology (Gruszczyński & Varzi, 2015;Kaczmarek, 2019;Skowron, Kaczmarek & Wójtowicz, unpublished).…”

Section: Ontological Momentarity and Mathematical Closednessmentioning

confidence: 99%

A metaphysical foundation for mathematical philosophy

Wójtowicz

Skowron

2022

Synthese

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Although mathematical philosophy is flourishing today, it remains subject to criticism, especially from non-analytical philosophers. The main concern is that even if formal tools serve to clarify reasoning, they themselves contribute nothing new or relevant to philosophy. We defend mathematical philosophy against such concerns here by appealing to its metaphysical foundations. Our thesis is that mathematical philosophy can be founded on the phenomenological theory of ideas as developed by Roman Ingarden. From this platonist perspective, the "unreasonable effectiveness of mathematics in philosophy"-to adapt Wigner's phrase-is analogous to that of mathematical explanations in science. As success-criteria for mathematical philosophy, we propose that it should be correct, responsive, illuminating, promising, relevant, and adequate.

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“…W niedawnych moich pracach (Kaczmarek 2019a(Kaczmarek , 2019b analizowałem teorię sytuacji Bogusława Wolniewicza oraz elementy Monadologii Leibniza wykorzystując tzw. ontologię topologiczną, tj.…”

Section: Monadologia I Reinterpretacja Ontologicznych Tezunclassified

Przegląd Filozoficzny. Nowa Seria

Kaczmarek

2020

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Obok pytań o byt, przedmiot, indywiduum, ideę czy istotę, jednym z fundamentalnych problemów ontologii są pytania dotyczące uposażenia rozważanych przedmiotów. Mówiąc o uposażeniu, mam na uwadze -za Ingardenem -własności i tropy przedmiotów, jak i jakości idealne tkwiące w ideach.Celem niniejszej pracy jest analiza tych pojęć -a zarazem obiektów ontologii -z uwzględnieniem dorobku Romana Ingardena w dziedzinie ontologii egzystencjalnej, formalnej i materialnej. Koncepcję Ingardena rozważymy na tle innych propozycji filozoficznych (m.in. Arystotelesa i Ch. Wolffa) oraz niektórych koncepcji nowoczesnych (m.in. K. Twardowski, N. Hartmann), nie pretendując do prezentacji pełniejszego spektrum teorii ontologicznych na temat jakości idealnych, własności i tropów. W końcowej części pracy przedstawię Czytelnikowi pewną własną propozycję rozumienia wskazanych pojęć. Będzie to propozycja oparta na interpretacji ontologicznych tez Leibniza i z wykorzystaniem rozwijanej w ostatnim czasie ontologii topologicznej.

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Ontology in Tractatus Logico-Philosophicus: A Topological Approach

Cited by 5 publications

References 0 publications

Towards a topological philosophy

Towards a topological philosophy

A metaphysical foundation for mathematical philosophy

Przegląd Filozoficzny. Nowa Seria

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