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o n e The Vis Viva Debate Kant's Starting Point

Martin Schönfeld

in The Philosophy of the Young Kant: The Precritical Project

Published in print:
2000
Published Online:
May 2006
ISBN:
9780195132182
eISBN:
9780199786336
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0195132181.003.0002
Subject:
Philosophy, History of Philosophy

This chapter explores the context of Kant’s first and original puzzle: what actually is force? It is an account of the debate over kinetic energy (Leibniz’s “living force” or vis viva) and the ... More


s e v e n The Physical Monadology and theElements of Nature

Martin Schöneld

in The Philosophy of the Young Kant: The Precritical Project

Published in print:
2000
Published Online:
May 2006
ISBN:
9780195132182
eISBN:
9780199786336
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0195132181.003.0008
Subject:
Philosophy, History of Philosophy

This chapter explores Kant’s professorial thesis, The Joint Use of Metaphysics and Geometry in Natural Philosophy, the First Example of Which Contains the Physical Monadology (1756). Section 1 ... More


n i n e The Newtonian Program of thePrize Essay and Kant's Crisis The Struggle for Freedom

Martin Schöneld

in The Philosophy of the Young Kant: The Precritical Project

Published in print:
2000
Published Online:
May 2006
ISBN:
9780195132182
eISBN:
9780199786336
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0195132181.003.0010
Subject:
Philosophy, History of Philosophy

This chapter explores the aftermath of Only Possible Argument and the Prize Essay (1764). Section 1 examines the curious preface of Kant’s third book, the exchange with Mendelssohn, and Kant’s ... More


The Fortunes of a Mechanical Model for Natural Philosophy

Stephen Gaukroger

in The Collapse of Mechanism and the Rise of Sensibility: Science and the Shaping of Modernity, 1680-1760

Published in print:
2010
Published Online:
January 2011
ISBN:
9780199594931
eISBN:
9780191595745
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199594931.003.0009
Subject:
Philosophy, Philosophy of Science, General

The basic assumption of ‘rational mechanics’ was that all natural philosophy was mechanics, and that, as mechanics was pursued with greater and greater detail and sophistication, the rest of natural ... More


Wittgenstein's Constructivization of Euler's Proof of the Infinity of Primes (with Mathieu Marion)

Paolo Mancosu

in The Adventure of Reason: Interplay Between Philosophy of Mathematics and Mathematical Logic, 1900-1940

Published in print:
2010
Published Online:
May 2011
ISBN:
9780199546534
eISBN:
9780191594939
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199546534.003.0006
Subject:
Philosophy, Logic/Philosophy of Mathematics, Philosophy of Mind

This chapter relates the debate analyzed in Chapter 5 to the only instance in which Wittgenstein attempted (successfully) the constructivization of a classical proof, viz. Euler’s proof for the ... More


Friedrich Schlegel’s Romantic Calculus: Reflections on the Mathematical Infinite around 1800

John H. Smith

in The Relevance of Romanticism: Essays on German Romantic Philosophy

Published in print:
2014
Published Online:
April 2014
ISBN:
9780199976201
eISBN:
9780199395507
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199976201.003.0014
Subject:
Philosophy, History of Philosophy

This chapter explores the way German thinkers in the decades around 1800 recognized that the new mathematics, especially differential calculus as it was developed by Leonard Euler, had important ... More


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