66 found
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  1. History of geometry and the development of the form of its language.Ladislav Kvasz - 1998 - Synthese 116 (2):141–186.
    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 (...)
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  2.  84
    Changes of language in the development of mathematics.Ladislav Kvasz - 2000 - Philosophia Mathematica 8 (1):47-83.
    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 specific language. Thus we get formulas and (...)
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  3. On classification of scientific revolutions.Ladislav Kvasz - 1999 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 30 (2):201-232.
    The question whether Kuhn's theory of scientific revolutions could be applied to mathematics caused many interesting problems to arise. The aim of this paper is to discuss whether there are different kinds of scientific revolution, and if so, how many. The basic idea of the paper is to discriminate between the formal and the social aspects of the development of science and to compare them. The paper has four parts. In the first introductory part we discuss some of the questions (...)
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  4.  19
    How Can a Falsified Theory Remain Corroborated?Ladislav Kvasz - 2004 - In Friedrich Stadler (ed.), Vienna Circle Institute Yearbook. Springer. pp. 263.
    Coming from a mathematical background, I was always puzzled by Popper’s view, according to which, after the falsification of a scientific theory its degree of corroboration becomes zero. Most of the scientific theories taught in the physics departments have already been falsified, and what is the point of teaching theories, whose degree of corroboration is zero? The first important observation to make is that not all cases of falsification are the same. In some cases, as for instance in the case (...)
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  5.  12
    How can A Falsified Theory Remain Corroborated?Ladislav Kvasz - 2004 - Vienna Circle Institute Yearbook 11:263-271.
    Coming from a mathematical background, I was always puzzled by Popper’s view, according to which, after the falsification of a scientific theory its degree of corroboration becomes zero. Most of the scientific theories taught in the physics departments have already been falsified, and what is the point of teaching theories, whose degree of corroboration is zero? The first important observation to make is that not all cases of falsification are the same. In some cases, as for instance in the case (...)
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  6. The history of algebra and the development of the form of its language.Ladislav Kvasz - 2006 - Philosophia Mathematica 14 (3):287-317.
    This paper offers an epistemological reconstruction of the historical development of algebra from al-Khwrizm, Cardano, and Descartes to Euler, Lagrange, and Galois. In the reconstruction it interprets the algebraic formulas as a symbolic language and analyzes the changes of this language in the course of history. It turns out that the most fundamental epistemological changes in the development of algebra can be interpreted as changes of the pictorial form of the symbolic language of algebra. Thus the paper develops further the (...)
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  7.  21
    Matematika a skúsenosť.Ladislav Kvasz - 2009 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 16 (2):146-182.
    Mathematics is traditionally considered being an apriori discipline consisting of purely analytic propositions. The aim of the present paper is to offer arguments against this entrenched view and to draw attention to the experiential dimension of mathematical knowledge. Following Husserl’s interpretation of physical knowledge as knowledge constituted by the use of instruments, I am trying to interpret mathematical knowledge also as acknowledge based on instrumental experience. This interpretation opens a new view on the role of the logicist program, both in (...)
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  8.  27
    Matematika a skutočnosť.Ladislav Kvasz - 2011 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 18 (3):302-330.
    The aim of the present paper is to offer a new analysis of the multifarious relations between mathematics and reality. We believe that the relation of mathematics to reality is, just like in the case of the natural sciences, mediated by instruments . Therefore the kind of realism we aim to develop for mathematics can be called instrumental realism. It is a kind of realism, because it is based on the thesis, that mathematics describes certain patterns of reality. And it (...)
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  9. The mathematisation of nature and Newtonian physics.Ladislav Kvasz - 2005 - Philosophia Naturalis 42 (2):183-211.
     
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  10.  17
    Prolegomena k formálnej epistemológii.Ladislav Kvasz - 1999 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 6 (1999):223-239.
    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 course (...)
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  11. The mathematisation of nature and Cartesian physics.Ladislav Kvasz - 2003 - Philosophia Naturalis 40 (2):157-182.
     
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  12.  9
    Aristotle’s syllogistic logic as a theory of an arithmetic kind.Ladislav Kvasz - 2024 - Filosoficky Casopis 72 (1):3-22.
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  13. Descartovská fyzika vo svetle Husserlovej fenomenológie.Ladislav Kvasz - 2001 - Filosoficky Casopis 49:213-240.
    [Cartesian physics in the light of Husserl’s phenomenology].
     
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  14. Galileovská fyzika vo svetle Husserlovej fenomenológie.Ladislav Kvasz - 2000 - Filosoficky Casopis 48:373-399.
    [Galileo's Physics in the Light of the Husserl's Phenomenology].
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  15. Galilean physics in light of Husserlian phenomenology.Ladislav Kvasz - 2002 - Philosophia Naturalis 39 (2):209-233.
  16.  24
    Penelope maddyová medzi realizmom a naturalizmom.Ladislav Kvasz - 2010 - Filozofia 65 (6).
  17.  6
    Descartes’ method between the sociology of scientific knowledge and the philosophy of science.Ladislav Kvasz - 2024 - Filosoficky Casopis 72 (1):125-135.
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  18. Kuhnova Štruktúra vedeckých revolúcií medzi sociológiou a epistemológiou.Ladislav Kvasz - 2012 - Teorie Vědy / Theory of Science 34 (2):167-187.
    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 re-formulácia. V stati je každý z týchto typov epistemických ruptúr ilustrovaný na sérii príkladov z dejín fyziky. Uvedené (...)
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  19. Formálna epistemológia a spoločenské vedy: odpoveď Markéte Patákovej.Ladislav Kvasz - 2015 - Teorie Vědy / Theory of Science 37 (3):327-360.
    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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  20. Newtonovská fyzika vo svetle Husserlovej fenomenológie.Ladislav Kvasz - 2004 - Filosoficky Casopis 52:411-440.
    [Newton's physics in the light of Husserl's phenomenology].
     
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  21.  33
    A Problem for Popper's Fallibilism.Ladislav Kvasz & Eugen Zeleňák - 2009 - In Zuzana Parusniková & R. S. Cohen (eds.), Rethinking Popper. Springer. pp. 71--81.
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  22.  10
    Changes of the Pictorial Form and the Development of the Self.Ladislav Kvasz - 2021 - In Vojtěch Kolman & Tereza Matějčková (eds.), Perspectives on the Self: Reflexivity in the Humanities. De Gruyter. pp. 229-256.
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  23.  23
    Cognitive Unity of Thales’ Mathematics.Ladislav Kvasz - 2020 - Foundations of Science 25 (3):737-753.
    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 (...)
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  24. Donald Gillies: Frege, Dedekind and Peano on the Foundations of Arithmetics.Ladislav Kvasz - 1994 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 1 (1):169-171.
     
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  25.  6
    Descartes Nikétés.Ladislav Kvasz - 2021 - Praha: Filosofia.
  26.  22
    Diskusie-æ olemik›.Ladislav Kvasz - 2002 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 9 (2):205-211.
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  27. Degrees of Inconsistency.Ladislav Kvasz - 2012 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 19 (1):95-115.
     
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  28.  5
    Descartes on Mathematics, Method and Motion: On the Role of Cartesian Physics in the Scientific Revolution.Ladislav Kvasz - 2024 - Springer Nature Switzerland.
    This book argues that Descartes’ physics was a milestone on the road to modern mathematical physics. After Newton introduced a completely different approach to mathematical description of motion, Descartes’ physics became obsolete and even difficult to comprehend. This text follows the language of Descartes and the means of which motion can be described. It argues that Descartes achieved almost everything that later Newton was able to do—to describe the motion of interacting bodies- by different (i.e. algebraic) means. This volume completely (...)
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  29.  30
    Epistemologické otázky modernej fyziky.Ladislav Kvasz - 2005 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 1 (1):40-61.
    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 (...)
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  30.  39
    How Can Abstract Objects of Mathematics Be Known?†.Ladislav Kvasz - 2019 - Philosophia Mathematica 27 (3):316-334.
    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 the instrumental practice of mathematics, such as symbolic manipulations or (...)
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  31.  85
    Heidegger's Interpretation of Mathematical Science in the Light of Husserl's Concept of Mathematization in the Krisis.Ladislav Kvasz - 2013 - Philosophia Naturalis 50 (2):337-363.
    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 (...)
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  32.  9
    Henri Poincaré and the epistemological interpretation of the Erlangen program.Ladislav Kvasz - 1996 - Philosophia Scientiae 1 (4):107-118.
  33. Is Aristotle a real alternative?Ladislav Kvasz - 2008 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 15 (2):206-210.
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  34.  5
    Jazyk ako nástroj exaktného myslenia vo vede.Ladislav Kvasz - 2022 - Filozofia 77 (10):770-790.
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  35.  18
    Je aristoteles reálnou alternatívou?Ladislav Kvasz - 2008 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 15 (2):206-210.
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  36. Kvasz, L.: Penelope Maddy between Realism and Naturalism.Ladislav Kvasz - 2010 - Filozofia 65 (6):522-537.
    Mathematics is often interpreted as an apriori discipline whose propositions are analytic. The aim of the paper is to support a philosophical position which would view mathematics as a discipline studying its own segment of objective reality and thus contributing to our knowledge of the real world. The author tries to articulate in more details such a position which has been proposed recently by Penelope Maddy.
     
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  37.  17
    K niektor› M aspektom vzniku analytickej filozofie.Ladislav Kvasz - 2004 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 11 (1):32-41.
    Cieľom článku je osvetliť niektoré historické okolnosti vzniku analytickej filozofie. Prvou z nich je zrod novovekej fyziky, ktorý viedol k rozšíreniu nového, empirického prístupu ku skutočnosti. Snažíme sa ukázať úlohu, ktorú v procese vzniku novovekej fyziky zohrala scholastická filozofia spolu s kartezianizmom. Ďalšia časť state objasňuje niektoré aspekty subjektivizmu, ktorý zohral významnú úlohu v novovekej filozofii. V jadre subjektivizmu leží podľa nášho názoru dezinterpretácia Descartovej filozofie. Prekonanie subjektivizmu analytickou filozofiou možno potom interpretovať ako návrat na miesto, na ktorom Descartes pôvodne (...)
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  38.  43
    Kuhn’s Structure of Scientific Revolutions between sociology and epistemology.Ladislav Kvasz - 2014 - Studies in History and Philosophy of Science Part A 46 (C):78-84.
    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 types (...)
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  39.  8
    Kuhn's Structure of Scientific Revolutions - and how to Continue.Ladislav Kvasz - 1999 - Human Affairs 9 (1):3-16.
  40.  12
    K vyjasneniu jedn é ho nedorozumenia.Ladislav Kvasz - 2005 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 12 (4):438-446.
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  41.  11
    Mathematics and Experience.Ladislav Kvasz - 2009 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 16 (2):146-182.
    Mathematics was considered by the members of the Vienna Circle an a priori discipline consisting of analytic propositions. The aim of the present paper is to draw attention to the experiential dimension of mathematical knowledge. Following the interpretation of physical knowledge as knowledge constituted by the use of instruments, I am trying to interpret also mathematical knowledge as knowledge based on instrumental experience. This interpretation opens a new perspective on the place of the logicist program in philosophy of mathematics. The (...)
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  42.  11
    Mathematics and Experience.Ladislav Kvasz - 2014 - Vienna Circle Institute Yearbook 17:117-129.
    Mathematics was considered by the members of the Vienna Circle an a priori discipline consisting of analytic propositions. The aim of the present paper is to draw attention to the experiential dimension of mathematical knowledge. Following the interpretation of physical knowledge as knowledge constituted by the use of instruments, I am trying to interpret also mathematical knowledge as knowledge based on instrumental experience. This interpretation opens a new perspective on the place of the logicist program in philosophy of mathematics. The (...)
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  43. Mathematics and Reality.Ladislav Kvasz - 2011 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 18 (3):302-330.
  44.  7
    Mathematics and the History of Religion.Ladislav Kvasz - 1999 - Human Affairs 9 (2):110-125.
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  45.  11
    Mathematical Language and the Changing Concept of Physical Reality.Ladislav Kvasz - 2020 - In Wenceslao J. Gonzalez (ed.), New Approaches to Scientific Realism. De Gruyter. pp. 206-228.
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  46.  15
    Na obranu osamelých bežcov.Ladislav Kvasz - 2004 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 11 (2,198-201):198-201.
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  47.  20
    „Niekoľko poznámok k vzťahu prírodných a spoločenských vied.“.Ladislav Kvasz - 2003 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 10 (2):157-172.
    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 alternative to T. (...)
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  48. On idealisation in the exact sciences.Ladislav Kvasz - 2012 - Filosoficky Casopis 60 (4):483-503.
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  49. O Piagetovi, Dialektike A Členskom.Ladislav Kvasz - 2001 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 8 (1):56-73.
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  50. O Správnosti, Korektnosti A Pluralite Teórií.Ladislav Kvasz - 2001 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 8 (2):190-196.
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