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7Changes of the Pictorial Form and the Development of the SelfIn Vojtěch Kolman & Tereza Matějčková (eds.), Perspectives on the Self: Reflexivity in the Humanities, De Gruyter. pp. 229-256. 2021.
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8On the Role of Language in Scientific Research: Language as Analytic, Expressive, and Explanatory ToolIn Wenceslao J. Gonzalez (ed.), Language and Scientific Research, Springer Verlag. pp. 93-117. 2021.The aim of the paper is to analyze how language affects scientific research, from planning experiments and interpreting their results, through constructing models and the testing their predictions, to building theories and justifying their principles. I try to give an overview of the potentialities of language of science. I propose to distinguish six potentialities: analytic, expressive, methodical, integrative, explanatory, and constitutive power of language. I will shortly characterize each of…Read more
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7Mathematical Language and the Changing Concept of Physical RealityIn Wenceslao J. Gonzalez (ed.), New Approaches to Scientific Realism, De Gruyter. pp. 206-228. 2020.
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18Cognitive Unity of Thales’ MathematicsFoundations of Science 25 (3): 737-753. 2020.The aim of the paper is to argue for the cognitive unity of the mathematical results ascribed by ancient authors to Thales. These results are late ascriptions and so it is difficult to say anything certain about them on philological grounds. I will seek characteristic features of the cognitive unity of the mathematical results ascribed to Thales by comparing them with Galilean physics. This might seem at a first sight a rather unusual move. Nevertheless, I suggest viewing the process of turning …Read more
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24How Can Abstract Objects of Mathematics Be Known?†Philosophia Mathematica 27 (3): 316-334. 2019.The aim of the paper is to answer some arguments raised against mathematical structuralism developed by Michael Resnik. These arguments stress the abstractness of mathematical objects, especially their causal inertness, and conclude that mathematical objects, the structures posited by Resnik included, are inaccessible to human cognition. In the paper I introduce a distinction between abstract and ideal objects and argue that mathematical objects are primarily ideal. I reconstruct some aspects of…Read more
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229Kuhnova Štruktúra vedeckých revolúcií medzi sociológiou a epistemológiouTeorie Vědy / Theory of Science 34 (2): 167-187. 2012.Cieľom predkladanej state je pokus o upresnenie Kuhnovej teórie vedeckých revolúcií. Navrhujem rozlíšiť pojem vedeckej revolúcie, ktorý označuje sociologický fakt zmeny postoja vedeckého spoločenstva vo vzťahu k určitej teórii a pojem epistemickej ruptúry, ktorý označuje lingvistický fakt diskontinuity jazykového rámca, v ktorom je táto teória formulovaná. Analýzou zmien jazykového rámca možno získať klasifikáciu epistemických ruptúr na štyri typy, nazvané ideácia, re-prezentácia, objektácia a r…Read more
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249Formálna epistemológia a spoločenské vedy: odpoveď Markéte PatákovejTeorie Vědy / Theory of Science 37 (3): 327-360. 2015.Cieľom článku je upozorniť na niektoré možnosti použitia metód formálnej epistemológie v oblasti sociálnych vied. Ide predovšetkým o teóriu objektácií a teóriu re-prezentácií a s nimi spojené metódy rekonštrukcie potencialít a formálnych aspektov jazyka. V článku sa ďalej snažíme zodpovedať niektoré kritické námietky Markéty Patákovej, ktoré sformulovala na adresu formálnej epistemológie vo svojom texte Predikce v Kvaszově formální epistemologii ve světle historické metody Michela Foucaulta.
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37Revisiting the Mathematisation Thesis: Galileo, Descartes, Newton, and the Language of NatureInternational Studies in the Philosophy of Science 30 (4): 399-406. 2016.
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38Kuhn’s Structure of Scientific Revolutions between sociology and epistemologyStudies in History and Philosophy of Science Part A 46 78-84. 2014.The aim of the paper is to clarify Kuhn’s theory of scientific revolutions. We propose to discriminate between a scientific revolution, which is a sociological event of a change of attitude of the scientific community with respect to a particular theory, and an epistemic rupture, which is a linguistic fact consisting of a discontinuity in the linguistic framework in which this theory is formulated. We propose a classification of epistemic ruptures into four types. In the paper, each of these typ…Read more
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24Appraising Lakatos: Mathematics, Methodology and the Man (edited book)Kluwer Academic Publishers. 2002.The volume also publishes for the first time a part of his Debrecen Ph.D. thesis and it is concluded by a bibliography of his Hungarian writings.
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O Piagetovi, Dialektike A ČlenskomOrganon F: Medzinárodný Časopis Pre Analytickú Filozofiu 8 (1): 56-73. 2001.
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78Changes of language in the development of mathematicsPhilosophia Mathematica 8 (1): 47-83. 2000.The nature of changes in mathematics was discussed recently in Revolutions in Mathematics. The discussion was dominated by historical and sociological arguments. An obstacle to a philosophical analysis of this question lies in a discrepancy between our approach to formulas and to pictures. While formulas are understood as constituents of mathematical theories, pictures are viewed only as heuristic tools. Our idea is to consider the pictures contained in mathematical text, as expressions of a spe…Read more
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104Kant's Philosophy of Geometry--On the Road to a Final AssessmentPhilosophia Mathematica 19 (2): 139-166. 2011.The paper attempts to summarize the debate on Kant’s philosophy of geometry and to offer a restricted area of mathematical practice for which Kant’s philosophy would be a reasonable account. Geometrical theories can be characterized using Wittgenstein’s notion of pictorial form . Kant’s philosophy of geometry can be interpreted as a reconstruction of geometry based on one of these forms — the projective form . If this is correct, Kant’s philosophy is a reasonable reconstruction of such theories …Read more
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8Vývin pojmov–tretie pokračovanieOrganon F: Medzinárodný Časopis Pre Analytickú Filozofiu 4 (4): 394-408. 1996.
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6Laszlo Ropolyi Lakatos And LukacsIn G. Kampis, L.: Kvasz & M. Stöltzner (eds.), Appraising Lakatos: Mathematics, Methodology and the Man, Kluwer Academic Publishers. pp. 1--303. 2002.
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75Heidegger's Interpretation of Mathematical Science in the Light of Husserl's Concept of Mathematization in the KrisisPhilosophia Naturalis 50 (2): 337-363. 2013.There are many interpretations of the birth of modern science. Most of them are, nevertheless, confined to the analysis of certain historical episodes or technical details, while leaving the very notion of mathematization unanalyzed. In my opinion this is due to a lack of a proper philosophical framework which would show the process of mathematization as something radically new. Most historians assume that the world is just like it is depicted by science. Thus they are not aware of the radical n…Read more
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19Tarski and Wittgenstein on Semantics of Geometrical FiguresVienna Circle Institute Yearbook 6 179-191. 1999.The aim of this paper is to compare two approaches to semantics, namely the standard Tarskian theory and Wittgenstein’s picture theory of meaning. I will compare them with respect to an unusual subject matter, namely to geometrical pictures. The choice of geometry rather than arithmetic or set theory as the basis, on which this comparison will be made has two reasons. One reason is related to Wittgenstein’s picture theory of meaning. This theory was developed more or less as a metaphor, comparin…Read more
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14Prolegomena k formálnej epistemológiiOrganon F: Medzinárodný Časopis Pre Analytickú Filozofiu 6 (1999): 223-239. 1999.The aim of this paper is a philosophical generalisation of the results, which we obtained through the analysis of the development of synthetic geometry. I our papers Náčrt analytickej teórie subjektu and Topológia versus teória množín we proposed a method of analysis of the development of geometry based on Wittgensteinś Picture theory of meaning from the Tractatus. It turned out, that the concept of the form of language can be effectively used to characterise the changes, which occured in the co…Read more
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Epistemologické otázky fyziky: od antinómie čistého rozumu k expresívnym medziam jazyka.[Epistemological Questions of Physics: From the Antinomies of Pure Reason to Expressive Boundaries of Language.] (review)Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 11 (4): 362-381. 2004.The aim of the present paper is to describe the fundamental epistemic ruptures, which occurred during the history of physics. Our approach is based on the reconstruction of the changes in the formal language of a particular physical discipline. We take into account aspects like the analytic, expressive or explanatory power, as well as analytic and expressive boundaries. One of the main results of our reconstruction is a new interpretation of Kant’s famous antinomies of pure reason. If we are pre…Read more
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17„Niekoľko poznámok k vzťahu prírodných a spoločenských vied.“Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 10 (2): 157-172. 2003.The aim of the paper is to present a theoretical framework which would make it possible to embed the conflict between the natural and human sciences into a broader historical context. With the help of categories such as paradigmatic disciplines, mixed discipline of the paradigm, metaphorical realm of the paradigm, and elusive realm of the paradigm we describe the dynamics of changes in the classification of scientific disciplines which accompany a scientific revolution. Our approach is thus an a…Read more
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Degrees of InconsistencyOrganon F: Medzinárodný Časopis Pre Analytickú Filozofiu 19 (1): 95-115. 2012.
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Mathematics and RealityOrganon F: Medzinárodný Časopis Pre Analytickú Filozofiu 18 (3): 302-330. 2011.
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14Je aristoteles reálnou alternatívou?Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 15 (2): 206-210. 2008.