Metamathematics and the Philosophical Tradition

William Boos, Florence S. Boos

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English

De Gruyter
07 December 2020

"Metamathematics and the Philosophical Tradition is the first work to explore in such historical depth the relationship between fundamental philosophical quandaries regarding self-reference and meta-mathematical notions of consistency and incompleteness.

Using the insights of twentieth-century logicians from Gödel through Hilbert and their successors, this volume revisits the writings of Aristotle, the ancient skeptics, Anselm, and enlightenment and seventeenth and eighteenth century philosophers Leibniz, Berkeley, Hume, Pascal, Descartes, and Kant to identify ways in which these both encode and evade problems of a priori definition and self-reference. The final chapters critique and extend more recent insights of late 20th-century logicians and quantum physicists, and offer new applications of the completeness theorem as a means of exploring ""metatheoretical ascent"" and the limitations of scientific certainty.

Broadly syncretic in range, Metamathematics and the Philosophical Tradition addresses central and recurring problems within epistemology. The volume’s elegant, condensed writing style renders accessible its wealth of citations and allusions from varied traditions and in several languages. Its arguments will be of special interest to historians and philosophers of science and mathematics, particularly scholars of classical skepticism, the Enlightenment, Kant, ethics, and mathematical logic."

By: William Boos
Edited by: Florence S. Boos
Imprint: De Gruyter
Country of Publication: Germany
Dimensions: Height: 230mm, Width: 155mm,
Weight: 881g
ISBN: 9783110736847
ISBN 10: 3110736845
Pages: 493
Publication Date: 07 December 2020
Audience: Professional and scholarly , Undergraduate , Undergraduate
Format: Paperback
Publisher's Status: Active

William Boos (†), University of Iowa, USA.

Reviews for Metamathematics and the Philosophical Tradition

"""For whom then is the book a suitably good investment? The researcher looking for topics which require a solid grounding in mathematics, and even more so in philosophy, will find this an excellent and comprehensive source of challenging ideas for further development and exposition."" Anthony G. Shannon in: Metascience 29 (2020), 163-166"