Poincaré on mathematical intuition. A phenomenological approach to Poincaré's philosophy of arithmetic
Jairo José Da Silva (1996)
Philosophia Scientiae
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Displaying similar documents to “Fact, hypothesis and convention in Poincaré and Duhem”
Poincaré on mathematical intuition. A phenomenological approach to Poincaré's philosophy of arithmetic
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The aim of the article is to establish relations between Kuhn’s general characterization of incommensurability as the impossibility to translate the taxonomies pertaining to rival scientific theories into one another and Hacking’s more specific version of incommensurability affecting competing theories that have stabilized relatively to different laboratory equipments and measurement techniques. On the basis of an analysis of the nature of scientific taxonomies that takes its inspiration...
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In current philosophical research, there is a rather one-sided focus on the foundations of proof. A full picture of mathematical practice should however additionally involve considerations about various methodological aspects. A number of these is identified, from large-scale to small-scale ones. After that, naturalism, a philosophical school concerned with scientific practice, is looked at, as far as the translations of its epistemic principles to mathematics is concerned. Finally,...