Introduction. The incommensurability problem : evolution, current approaches and recent issues
Léna Soler (2004)
Philosophia Scientiae
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Léna Soler (2004)
Philosophia Scientiae
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Emiliano Trizio (2004)
Philosophia Scientiae
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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...
Bart Van Kerkhove, Jean Paul Van Bendegem (2005)
Philosophia Scientiae
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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,...
Reviel Netz (2005)
Revue d'histoire des mathématiques
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The note addresses briefly some reactions to a previous article “”. In particular it looks at the question: if indeed any text must depend on previous texts, what makes the dependency of commentary and commentary-like text so special to justify my emphasis on this form of writing ? A suggestion is developed, trying to define Deuteronomic texts through their precise semiotics of intertextuality: in general, it is argued, intertextuality may be paradigmatic (= allusion) or syntagmatic...
Mogens Wegener (1996)
Philosophia Scientiae
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Rudolph Haller (1998-1999)
Philosophia Scientiae
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Léna Soler (2004)
Philosophia Scientiae
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In this article I present, first, a criticism of certain aspects of the way Martin Carrier characterizes semantic incommensurability on the basis of a contextual theory of language. Subsequently I introduce some distinctions and put forward some proposals in order to pursue the same project. It will be argued that two different conceptions of the notion “conditions of applications” and, correlatively, two different meanings of the clause “preservations of the inferential relations”,...
Jan Wolenski (1996)
Philosophia Scientiae
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Igor F. Sharygin (2003)
The Teaching of Mathematics
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Peter Dear (2001)
Revue d'histoire des mathématiques
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This note suggests that a fruitful way of investigating the history of mathematics lies in consideration of its pedagogical purposes. As a general illustration of the directions that such an approach might take, the paper discusses early-modern arguments for the practical utility of mathematics and its capacity to inculcate good habits of thought, as well as the appearance of new uses for mathematical training in the later eighteenth and early nineteenth centuries that served the purpose...