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  1. Algunas consideraciones sobre el argumento de indispensabilidad en matemáticas.Antonio Caba Sánchez - 2002 - Revista de Filosofía (Madrid) 27 (1):111-133.
    La tesis de indispensabilidad se toma habitualmente como un argumento (posiblemente el mejor) para defender el realismo matemático. La propuesta se asocia con Quine y Putnam, y establece que, en tanto en cuanto las entidades matemáticas se muestran indispensables para nuestras mejores teorías físicas, comparten el estatus ontológico de las entidades científicas. Pese a que el argumento ha sufrido ataques desde prácticamente todas las direcciones, algunos autores continúan tratando de defenderlo. En este artículo se analizan de manera especial las críticas (...)
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  • Mathematics, science and ontology.Thomas Tymoczko - 1991 - Synthese 88 (2):201 - 228.
    According to quasi-empiricism, mathematics is very like a branch of natural science. But if mathematics is like a branch of science, and science studies real objects, then mathematics should study real objects. Thus a quasi-empirical account of mathematics must answer the old epistemological question: How is knowledge of abstract objects possible? This paper attempts to show how it is possible.The second section examines the problem as it was posed by Benacerraf in Mathematical Truth and the next section presents a way (...)
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  • Modernizing the philosophy of mathematics.Nicolas D. Goodman - 1991 - Synthese 88 (2):119 - 126.
    The distinction between analytic and synthetic propositions, and with that the distinction between a priori and a posteriori truth, is being abandoned in much of analytic philosophy and the philosophy of most of the sciences. These distinctions should also be abandoned in the philosophy of mathematics. In particular, we must recognize the strong empirical component in our mathematical knowledge. The traditional distinction between logic and mathematics, on the one hand, and the natural sciences, on the other, should be dropped. Abstract (...)
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  • Mathematical naturalism: Origins, guises, and prospects. [REVIEW]Bart Van Kerkhove - 2006 - Foundations of Science 11 (1-2):5-39.
    During the first half of the twentieth century, mainstream answers to the foundational crisis, mainly triggered by Russell and Gödel, remained largely perfectibilist in nature. Along with a general naturalist wave in the philosophy of science, during the second half of that century, this idealist picture was finally challenged and traded in for more realist ones. Next to the necessary preliminaries, the present paper proposes a structured view of various philosophical accounts of mathematics indebted to this general idea, laying the (...)
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  • Mathematical Naturalism: Origins, Guises, and Prospects.Bart Kerkhove - 2006 - Foundations of Science 11 (1):5-39.
    During the first half of the twentieth century, mainstream answers to the foundational crisis, mainly triggered by Russell and Gödel, remained largely perfectibilist in nature. Along with a general naturalist wave in the philosophy of science, during the second half of that century, this idealist picture was finally challenged and traded in for more realist ones. Next to the necessary preliminaries, the present paper proposes a structured view of various philosophical accounts of mathematics indebted to this general idea, laying the (...)
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