Perceiving the infinite and the infinitesimal world: unveiling and optical diagrams in mathematics

DOI10.1007/s10699-005-3003-8zbMath1148.00001OpenAlexW2081450107MaRDI QIDQ859750

Lorenzo Magnani, Riccardo Dossena

Publication date: 18 January 2007

Published in: Foundations of Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10699-005-3003-8

zbMATH Keywords

abductionmathematical reasoningdiagramsaction-based reasoning

Mathematics Subject Classification ID

Philosophy of mathematics (00A30) Language and verbal communities (aspects of mathematics education) (97C50)

Related Items (8)

Osculating circle with microscopes within microscopes ⋮ A Burgessian critique of nominalistic tendencies in contemporary mathematics and its historiography ⋮ Who gave you the Cauchy-Weierstrass tale? The dual history of rigorous calculus ⋮ Stevin numbers and reality ⋮ Ten misconceptions from the history of analysis and their debunking ⋮ Leibniz's infinitesimals: their fictionality, their modern implementations, and their foes from Berkeley to Russell and beyond ⋮ Cauchy's Continuum ⋮ Reasoning through doing. Epistemic mediators in scientific discovery

Cites Work

• The computational complexity of abduction
• Abduction as belief revision
• Unnamed Item

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