Innovation and Certainty

Beginning in the nineteenth century, mathematics' traditional domains of 'number and figure' became vigorously displaced. How can mathematics retain its traditional status as a repository of necessary truth in the light of these revisions? The purpose of this Element is to provide a sketch of this developmental history.

List of contents

Preface; 1. Suggestions from the Symbols; 2. Innovation and Error; 3. Logicist Reconstruction; 4. Set Theoretic Ladders; 5. If -Thenism; 6. Exploratory Mathematics; 7. Unsuspected Kinships and Disassociations; 8. The Enlarging Architecture of Mathematical Reasoning.

Summary

Beginning in the nineteenth century, mathematics' traditional domains of 'number and figure' became vigorously displaced. How can mathematics retain its traditional status as a repository of necessary truth in the light of these revisions? The purpose of this Element is to provide a sketch of this developmental history.

Product details

• Authors: Mark Wilson, Mark (University of Pittsburgh) Wilson
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Paperback / Softback
• Released: 31.12.2020
• EAN: 9781108742290
• ISBN: 978-1-108-74229-0
• No. of pages: 75
• Series: Elements in the Philosophy of; Elements in the Philosophy of Mathematics
• Subjects: Humanities, art, music > Philosophy > General, dictionaries; Natural sciences, medicine, IT, technology > Natural sciences (general); PHILOSOPHY / General, Philosophy, MATHEMATICS / Applied, Mathematics, Applied mathematics, innovation; certainty; Dedekind; De Morgan; setting