Abstract
In mathematics one uses various kinds of argumentations. Some are well-known logical rules, such as the syllogism: all men are mortal, Socrates is a man, therefore Socrates is mortal. Others are not formalised in strict rules and rely on ‘good understanding’. Mathematicians usually agree on what they consider legitimate arguments in a mathematical proof. But is this sufficient? Does this mean that the argumentations mathematicians have employed for centuries are correct?
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© 2003 Springer Basel AG
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Lietzmann, W. (2003). Reactions: logic and the excluded middle. In: Gnomes in the Fog. Science Networks. Historical Studies, vol 28. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7989-7_5
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DOI: https://doi.org/10.1007/978-3-0348-7989-7_5
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9394-7
Online ISBN: 978-3-0348-7989-7
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