Innovation and Certainty

Erscheinungsjahr 2021
ISBN: 978-1-108-74229-0
Verlag: Cambridge University Press

Buch, Englisch, 75 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 122 g

Reihe: Elements in the Philosophy of Mathematics

Beginning in the nineteenth century, mathematics' traditional domains of 'number and figure' became vigorously displaced by altered settings in which former verities became discarded as no longer sacrosanct. And these innovative recastings appeared everywhere, not merely within the familiar realm of the non-Euclidean geometries. 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.

Autoren/Hrsg.

Wilson, Mark

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Geisteswissenschaften Philosophie Philosophie: Allgemeines, Methoden

Inhaltsverzeichnis

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.