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2Descartes’ method between the sociology of scientific knowledge and the philosophy of scienceFilosoficky Casopis 72 (1): 125-135. 2024.
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6Aristotle’s syllogistic logic as a theory of an arithmetic kindFilosoficky Casopis 72 (1): 3-22. 2024.
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8Changes 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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10On 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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10Mathematical 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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20Cognitive 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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31How 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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234Kuhnova 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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258Formálna 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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39Revisiting 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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39Kuhn’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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26Appraising 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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Rozvinutie poznámky, ktorá nebola celkom zbytočnáOrganon F: Medzinárodný Časopis Pre Analytickú Filozofiu 7 (1): 71-77. 2000.
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Epistemological aspects of modern paintingFilozofia 55 (8): 601-619. 2000.The aim of the paper is to analyse the geometrical aspects of a series of modern paintings and to show the parallel between them and the development of modern geometry. It starts with El Greco, offering a geometrical explanation of his painting the figures in a prolonged manner. Further the analogy between the impressionist way of creating space and the geometrical idea of Cayley to use projective space as a basis for non-Euclidean geometry is reconstructed. Next the paper describes the parallel…Read more
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O Správnosti, Korektnosti A Pluralite TeóriíOrganon F: Medzinárodný Časopis Pre Analytickú Filozofiu 8 (2): 190-196. 2001.
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Descartovská fyzika vo svetle Husserlovej fenomenológieFilosoficky Casopis 49 213-240. 2001.[Cartesian physics in the light of Husserl’s phenomenology]
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Newtonovská fyzika vo svetle Husserlovej fenomenológieFilosoficky Casopis 52 411-440. 2004.[Newton's physics in the light of Husserl's phenomenology]
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12The propositional content of the Popper-Lakatos riftIn G. Kampis, L.: Kvasz & M. Stöltzner (eds.), Appraising Lakatos: Mathematics, Methodology and the Man, Kluwer Academic Publishers. pp. 1--3. 2002.
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10K vyjasneniu jedn é ho nedorozumeniaOrganon F: Medzinárodný Časopis Pre Analytickú Filozofiu 12 (4): 438-446. 2005.
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123History of geometry and the development of the form of its languageSynthese 116 (2). 1998.The aim of this paper is to introduce Wittgenstein’s concept of the form of a language into geometry and to show how it can be used to achieve a better understanding of the development of geometry, from Desargues, Lobachevsky and Beltrami to Cayley, Klein and Poincaré. Thus this essay can be seen as an attempt to rehabilitate the Picture Theory of Meaning, from the Tractatus. Its basic idea is to use Picture Theory to understand the pictures of geometry. I will try to show, that the historical e…Read more
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The epistemological foundations of geometry in 19 th centuryPhilosophia Scientiae 3 (2): 183-202. 1998.
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29Epistemologické otázky modernej fyzikyOrganon F: Medzinárodný Časopis Pre Analytickú Filozofiu 1 (1): 40-61. 2005.The aim of the paper is to describe the main epistemological ruptures in the history of modern physics. Our approach is based on the reconstruction of the formal language of physical theories. We examine how particular aspects of the formal language, such as its analytical, expressive, or explanatory power, as well as its analytical and expressive boundaries, have changed in the course of the historical development of physics. In the closing part of the paper we discuss the results of our hi…Read more
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P. Mancosu : From Bouwer To HilbertOrganon F: Medzinárodný Časopis Pre Analytickú Filozofiu 5 (4): 422-425. 1998.