•  2
    Mathematics and the History of Religion
    Human Affairs 9 (2): 110-125. 1999.
  •  2
    Jazyk ako nástroj exaktného myslenia vo vede
    Filozofia 77 (10): 770-790. 2022.
  •  7
    Changes of the Pictorial Form and the Development of the Self
    In Vojtěch Kolman & Tereza Matějčková (eds.), Perspectives on the Self: Reflexivity in the Humanities, De Gruyter. pp. 229-256. 2021.
  •  8
    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
  •  7
  •  18
    Cognitive Unity of Thales’ Mathematics
    Foundations 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
  •  24
    How 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
  •  229
    Kuhnova Štruktúra vedeckých revolúcií medzi sociológiou a epistemológiou
    Teorie 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
  •  249
    Formálna epistemológia a spoločenské vedy: odpoveď Markéte Patákovej
    Teorie 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.
  •  37
  •  38
    Kuhn’s Structure of Scientific Revolutions between sociology and epistemology
    Studies 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
  •  24
    Appraising Lakatos: Mathematics, Methodology and the Man (edited book)
    with G. Kampis and M. Stöltzner
    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.
  • O Piagetovi, Dialektike A Členskom
    Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 8 (1): 56-73. 2001.
  • Newton and Cartesian Physics
    Filozofia 63 93-108. 2008.
  •  78
    Changes of language in the development of mathematics
    Philosophia 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
  •  104
    Kant's Philosophy of Geometry--On the Road to a Final Assessment
    Philosophia 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
  •  8
    Vývin pojmov–tretie pokračovanie
    Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 4 (4): 394-408. 1996.
  •  6
    Laszlo Ropolyi Lakatos And Lukacs
    with G. Kampis and M. Stoltzner
    In G. Kampis, L.: Kvasz & M. Stöltzner (eds.), Appraising Lakatos: Mathematics, Methodology and the Man, Kluwer Academic Publishers. pp. 1--303. 2002.
  •  75
    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
  •  19
    Tarski and Wittgenstein on Semantics of Geometrical Figures
    Vienna 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
  •  14
    Prolegomena k formálnej epistemológii
    Organon 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
  • 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
  •  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
  • Degrees of Inconsistency
    Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 19 (1): 95-115. 2012.
  • Mathematics and Reality
    Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 18 (3): 302-330. 2011.
  • An outline of the analytical theory of the subject
    Filosoficky Casopis 44 (4): 617-640. 1996.
  •  14
    Je aristoteles reálnou alternatívou?
    Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 15 (2): 206-210. 2008.