Mathematical traditions in Ancient Greece and Rome
Математические традиции в Древней Греции и Риме
2019-03-01
SCID: 54.1/qqjw2554
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Ancient Greek mathematicsHistoriography of mathematicsMathematical practicesRoman mathematicsSocial status of mathematicians
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Abstract (AI)
There were different ways of doing mathematics in the ancient Greek and Roman world. This essay will explore historiographical approaches to this diversity, from the claim that there were different traditions, to explorations of the social status of mathematicians, to attempts to go beyond written traditions in order to reconstruct practices. I will draw on Jean Lave’s studies on situation-specific mathematics to try and tease out the power relationships and underlying assumptions behind different histories of the evidence available to us.
Key Findings
1
Ancient Greek and Roman mathematics comprised multiple distinct ways of practicing mathematics rather than a single unified tradition.
2
Historiography examines this diversity through different mathematical traditions, the social status of mathematicians, and mathematical practices beyond written sources.
3
Jean Lave’s situation-specific mathematics provides a framework for analyzing power relationships and assumptions underlying histories of ancient mathematical evidence.
4
Reconstructing ancient mathematical practices requires moving beyond surviving written traditions while critically assessing the limitations of available evidence.
Research Object
mathematical practices and traditions in the ancient Greek and Roman world
Research Subject
historiographical interpretations of their diversity, including mathematicians’ social status, reconstructed practices, and the power relations and assumptions shaping historical accounts
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2019-03-01
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