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On two-generator groups of nilpotency class two and their nonabelian tensor squares /
Published 1998“…Thesis (Doctor of Philosophy in Mathematics) - State University of New York, 1998…”
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103
Kant's Influence on Brouwer
Published 2005-03-01“…There are at least three elemental parts in Brouuer's philosophy ef mathematics that mqy have their origin in Kant. …”
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104
George Duke, Dummett on Abstract Objects
Published 2013-09-01“…Dummett. Frege: Philosophy of Mathematics. London: Duckworth, 1991. B. Hale. …”
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105
Separation of Laplace's equation
Published 2004“…"This report is a copy of a thesis ... submitted ... for the degree of Doctor of Philosophy in Mathematics at the Massachusetts Institute of Technology."…”
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106
Dialéctica, estructura y génesis
Published 2022-07-01“…We will first analyze Lautman’s own presentation of the dialectic in philosophy of mathematics to show, secondly, how Deleuze extends this dialectic beyond mathematics; finally, we make some considerations about the privilege given to mathematics in Deleuze’s developments on the virtual in Difference and Repetition.…”
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107
An introduction to the modern reception of Euclidean geometry
Published 2016-12-01“…The aim of this paper is to make an introductory exposition of some relevant aspects of the modern reception of Euclidean geometry for the understanding of Kant’s philosophy of mathematics.…”
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108
Proof vs Truth in Mathematics
Published 2020-10-01“…Two crucial concepts of the methodology and philosophy of mathematics are considered: proof and truth. …”
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109
La philosophie mathématique de Roger Apéry
Published 2005-05-01“…For anybody interested in philosophy of mathematics, Roger Apéry (1916-1994) is well known for advocating constructive mathematics and for being a resolute opponent to formalism and Bourbakism. …”
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110
El antiplatonismo del Tractatus de Wittgenstein
Published 2002-09-01“…This essay presents the framework of the early Wittgenstein’s philosophy of mathematics. The author shows how, by conceiving mathematical equations and tautologies as rules for the use of signs, the early Wittgenstein did not require postulating, or inventing, mathematical objects in order to explain the objective character of mathematical discourse.…”
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111
O nieusuwalności podmiotu matematycznego
Published 2010-05-01“…In the paper the author attempts to show that the Mathematical Subject is irremovable from the Philosophy of Mathematics. In doing so he wants to argue, first, that Church's Thesis should be seen as a statement about the Mathematical Subject. …”
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112
Axiomatics Without Foundations. On the Model-theoretical Viewpoint In Modern Axiomatics
Published 2005-11-01“…In particular, the model-theoretical viewpoint is deeply connected to a philosophy of mathematics that is not committed to a foundational perspective, but oriented more at applications and at mathematical practice.…”
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113
La physique dans la recherche en mathématiques constructives
Published 2012-04-01“…First, I show that it is stimulated by philosophical views and discuss how physics is used in the debate between classicism and constructivism in the philosophy of mathematics. Secondly, I characterise the methodology of the research in mathematics involved in this practice and show this is a methodology of "logicians" as Poincaré said. …”
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114
Defining mathematics
Published 2011-12-01“…Arguing that the aspects of number and space delimit mathematics makes it possible to avoid both Platonism and constructivism in mathematics. Every philosophy of mathematics should be able to account for the nature and status of the infinite. …”
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115
Definitions And Contradictions. Russell, Poincaré, And Lesniewski
Published 2009-10-01“…The first is concerned with Russell’s early philosophy of mathematics and his quarrel with Poincaré about the nature of their opposition. …”
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116
PROFESSIONAL STABILITY OF FUTURE TEACHERS. PAPER 1. DEFINING THE NOTION OF STABILITY/ CONSISTENCY: INTERDISCIPLINARY APPROACH
Published 2013-06-01“…The article deals with analyzing the essence of the notion of stability/consistency from the position of various sciences: philosophy, mechanics, mathematics, cybernetics, physics, sociology, ecology, psychology. …”
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117
Bad company generalized.
Published 2009“…The paper is concerned with the bad company problem as an instance of a more general difficulty in the philosophy of mathematics. The paper focuses on the prospects of stability as a necessary condition on acceptability. …”
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118
Demons of Chance, Angels of Probability: Thomas Pynchon’s Novels and the Philosophy of Chance and Probability
Published 2020-12-01“…The article considers how different scientific theories dealing with chance and probability figure in Pynchon’s major novels, which, the article argues, helps us to think more deeply about Pynchon’s use of these theories or other mathematical and scientific theories, and about the relationships among literature, philosophy, and mathematics and science in general.…”
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119
Abstract logical structuralism
Published 2020-12-01“…Structuralism has recently moved center stage in philosophy of mathematics. One of the issues discussed is the underlying logic of mathematical structuralism. …”
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On Possibility of Geometrical Approach to the Problem of Substantiation of Mathematics
Published 2010-06-01“…This will mean the return to the number of propositions of the philosophy of mathematics of I. Kant and R. Descartes.…”
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