Book ID: CBB060593902

Metamathematics and the Philosophical Tradition (2018)

unapi

Boos, William (Author)
Boos, Florence S. (Editor)


de Gruyter


Publication Date: 2018
Physical Details: 492
Language: English

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.

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Reviewed By

Review Lukas M. Verburgt (2020) Review of "Metamathematics and the Philosophical Tradition". Isis: International Review Devoted to the History of Science and Its Cultural Influences (pp. 380-381). unapi

Citation URI
https://data.isiscb.org/isis/citation/CBB060593902/

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Authors & Contributors
Lara Piersanti
Boccaccini, Federico
Loner, David
Simons, Peter
Mills, R. J. W.
Marmodoro, Anna
Concepts
Philosophy
Logic
Mathematics
Epistemology
Physics
Philosophy of science
Time Periods
20th century
17th century
18th century
Early modern
19th century
Modern
Places
England
Scotland
United States
Italy
Germany
China
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