Displaying similar documents to “A Broader Way Through Themas of Elementary School Mathematics, I”

Mathematical practice and naturalist epistemology : structures with potential for interaction

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,...

It’s not that they couldn’t

Reviel Netz (2002)

Revue d'histoire des mathématiques

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The article offers a critique of the notion of ‘concepts’ in the history of mathematics. Authors in the field sometimes assume an argument from conceptual impossibility: that certain authors could not do X because they did not have concept Y. The case of the divide between Greek and modern mathematics is discussed in detail, showing that the argument from conceptual impossibility is empirically as well as theoretically flawed. An alternative account of historical diversity is offered,...

Incommensurability and laboratory science

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...

A Programmatic Note: on two Types of Intertextuality

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...