Mathematical Justification as Non-Conceptualized Practice: the Babylonian Example

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Resumé

Those Greek philosophers who write about mathematics consider demonstration as central to it. Grosso modo, what Aristotle writes about the topic is congruent with what Euclid does. Demonstration was thus not only practised but also an explicit concern for Greek mathematics.
Other early mathematical cultures do not speak about mathematics involving demonstration. However, Old Babylonian mathematical texts (c. 1800–1600 BCE) reveal both aspects of mathematical demonstration as we know it for instance from the ancient Greeks: arguments showing why the steps undertaken do lead to the required result; and “critique” (in Kantian sense) investigating the presuppositions behind and limits of these arguments. This is argued on a sample of characteristic but relatively simple texts in translation.
Critique plays a minor role only in Old Babylonian mathematics; still, the Babylonian example shows that mathematical proof may be present in a mathematical culture even if unsupported by extra-mathematical philosophy or ideology.
OriginalsprogEngelsk
TitelHistory of Mathematical Proof in Ancient Traditions
RedaktørerKarine Chemla
Udgivelses stedCambridge
ForlagCambridge University Press
Publikationsdato2012
Sider362–383
ISBN (Trykt)9781107012219
StatusUdgivet - 2012

Bibliografisk note

De ensbetitlede "mulige dubletter" er et preprint og et genoptryk af dette

Citer dette

Høyrup, J. (2012). Mathematical Justification as Non-Conceptualized Practice: the Babylonian Example. I K. Chemla (red.), History of Mathematical Proof in Ancient Traditions (s. 362–383). Cambridge: Cambridge University Press.
Høyrup, Jens. / Mathematical Justification as Non-Conceptualized Practice: the Babylonian Example. History of Mathematical Proof in Ancient Traditions. red. / Karine Chemla. Cambridge : Cambridge University Press, 2012. s. 362–383
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Høyrup, J 2012, Mathematical Justification as Non-Conceptualized Practice: the Babylonian Example. i K Chemla (red.), History of Mathematical Proof in Ancient Traditions. Cambridge University Press, Cambridge, s. 362–383.

Mathematical Justification as Non-Conceptualized Practice: the Babylonian Example. / Høyrup, Jens.

History of Mathematical Proof in Ancient Traditions. red. / Karine Chemla. Cambridge : Cambridge University Press, 2012. s. 362–383.

Publikation: Bidrag til bog/antologi/rapportBidrag til bog/antologiForskningpeer review

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Høyrup J. Mathematical Justification as Non-Conceptualized Practice: the Babylonian Example. I Chemla K, red., History of Mathematical Proof in Ancient Traditions. Cambridge: Cambridge University Press. 2012. s. 362–383