Dissertation/Thesis Abstract

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On Isaac Newton's Concept of Mathematical Force
by Solomon, Adriana M., Ph.D., University of Notre Dame, 2017, 322; 13836375
Abstract (Summary)

This dissertation presents a philosophical and developmental account of the mathematical conceptualization of force in Isaac Newton’s writings, starting from the early dynamical writings in the 1660s and ending with the first edition of the Principia of 1687. Broadly speaking, this project is a contribution to the epistemology and metaphysics comprised in (i) the mathematical practices underlying the birth of dynamics and (ii) the philosophical foundations of the transition from natural philosophy to mathematical physics. As a project in the history of ideas, it casts a new light on the foundations of modern science by focusing on the conceptualization of force as a mathematical quantity. As a contribution to the philosophy of science, it introduces a novel understanding of Newton’s philosophy of science centered on the use of what have come to be called models based on mathematical concepts.

Indexing (document details)
Advisor: Brading, Katherine
Commitee: Brading, Katherine, Franks, Curtis, Joy, Lynn, Smith, George
School: University of Notre Dame
Department: History and Philosophy of Science
School Location: United States -- Indiana
Source: DAI-A 80/06(E), Dissertation Abstracts International
Subjects: Philosophy of religion, European history, Philosophy
Keywords: Force, History of physics, Metaphysics of science, Newton, Isaac
Publication Number: 13836375
ISBN: 9780438835610
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