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Switch to: Citations
References in:
Matematika a skutočnosť
Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 18 (3):302-330 (2011)
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The present collection brings together in a convenient form the seminal articles in the philosophy of mathematics by these and other major thinkers. |
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It is argued here that mathematical objects cannot be simultaneously abstract and perceptible. Thus, naturalized versions of mathematical platonism, such as the one advocated by Penelope Maddy, are unintelligble. Thus, platonists cannot respond to Benacerrafian epistemological arguments against their view vias Maddy-style naturalization. Finally, it is also argued that naturalized platonists cannot respond to this situation by abandoning abstractness (that is, platonism); they must abandon perceptibility (that is, naturalism). |
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This book expounds a system of ideas about the nature of mathematics which Michael Resnik has been elaborating for a number of years. In calling mathematics a science he implies that it has a factual subject-matter and that mathematical knowledge is on a par with other scientific knowledge; in calling it a science of patterns he expresses his commitment to a structuralist philosophy of mathematics. He links this to a defense of realism about the metaphysics of mathematics--the view that mathematics (...) |
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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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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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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 as projective geometry; (...) |
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This paper takes up a suggestion made by Floridi that the digital revolution is bringing about a profound change in our metaphysics. The paper aims to bring some older views from philosophy of mathematics to bear on this problem. The older views are concerned principally with mathematical realism—that is the claim that mathematical entities such as numbers exist. The new context for the discussion is informational realism, where the problem shifts to the question of the reality of information. Mathematical realism (...) |
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The first edition of this book profoundly challenged and divided students of philosophy, sociology, and the history of science when it was published in 1976. In this second edition, Bloor responds in a substantial new Afterword to the heated debates engendered by his book. |
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The aim of the paper is to argue that the ontological setting of objects in Wittgenstein’s Tractatus is a version of structural realism. According to our plan, one of the opening statements of the Tractatus – The world is the totality of facts, not of things – introduces structuralist perspective: structures are superior to their constituents. However, structuralists use the notion ‘superior’ in various senses, but this paper argues that the Tractatus places its objects within the framework of ontic structural (...) |
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M. Esfeld has recently argued that ontic structural realism may succeed only if it is based on causal structures. In order to meet this requirement, he offers a combination of dispositional/causal relations with moderate form of ontic structural realism. This paper, however, demonstrates that moderate position, in relation to causation, faces a dilemma whose resolution leads to a monistic ontology that creates a rather hostile environment for structural metaphysics. |
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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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Ve svém Älánku Matematika a skúsenosÅ¥ (2009) pÅ™edkládá Ladislav Kvasz pohled na matematiku, který je do jisté mÃry 'pragmatistický' Äi 'naturalistický' a mnÄ› osobnÄ› je velmi sympatický. Jenom si myslÃm, že je Å¡koda, že je naturalistický právÄ› jenom "do jité mÃry". |
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[Cartesian physics in the light of Husserl’s phenomenology]. |
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[Newton's physics in the light of Husserl's phenomenology]. |
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[Galileo's Physics in the Light of the Husserl's Phenomenology]. |
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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 prepared (...) |
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