Výsledky vyhledávání - "Reeder, Patrick"

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Interpreting the infinitesimal mathematics of Leibniz and Euler

Autor: Bair, Jacques, Blaszczyk, Piotr, Ely, Robert, Henry, Valerie, Kanovei, Vladimir, Katz, Karin U., Katz, Mikhail G., Kutateladze, Semen S., McGaffey, Thomas, Reeder, Patrick, Schaps, David M., Sherry, David, Shnider, Steven

We apply Benacerraf's distinction between mathematical ontology and mathematical practice (or the structures mathematicians use in practice) to examine contrasting interpretations of infinitesimal mathematics of the 17th and 18th century, in the work

Externí odkaz: http://arxiv.org/abs/1605.00455

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Dissertation/ Thesis

Internal Set Theory and Euler's Introductio in Analysin Infinitorum

Autor: Reeder, Patrick F.

In Leonhard Euler's seminal work Introductio in Analysin Infinitorum (1748), he readily used infinite numbers and infinitesimals in many of his proofs. We aim to reformulate a group of proofs from the Introductio using concepts and techniques from Ab

Externí odkaz: http://rave.ohiolink.edu/etdc/view?acc_num=osu1366149288

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Dissertation/ Thesis

Infinitesimals for Metaphysics: Consequences for the Ontologies of Space and Time

Autor: Reeder, Patrick F.

In this dissertation, I defend unorthodox conceptions of continuity: I argue that they're both conceptually viable and philosophically fruitful. After a brief introduction in the first chapter, I argue in the second chapter that the standard concepti

Externí odkaz: http://rave.ohiolink.edu/etdc/view?acc_num=osu1343683113

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