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math.HO2021★ 9 cited
Leibniz on bodies and infinities: rerum natura and mathematical fictions
Mikhail G. Katz, Karl Kuhlemann, David Sherry +1
The way Leibniz applied his philosophy to mathematics has been the subject of longstanding debates. A key piece of evidence is his letter to Masson on bodies. We offer an interpret…
math.HO2021★ 12 cited
Two-track depictions of Leibniz's fictions
Mikhail G. Katz, Karl Kuhlemann, David Sherry +2
Leibniz described imaginary roots, negatives, and infinitesimals as useful fictions. But did he view such 'impossible' numbers as mathematical entities? Alice and Bob take on the l…