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Innovation and Certainty

Innovation and Certainty

Innovation and Certainty

Author:
Mark Wilson, University of Pittsburgh
Published:
January 2021
Availability:
Available
Format:
Paperback
ISBN:
9781108742290

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    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.

    Reviews & endorsements

    ‘Each new addition fills an unwanted gap and Wilson’s aim is to get philosophers to pay attention to the seemingly un-mathematical ways mathematicians plug up theoretical holes and the philosophical consequences these measures have.’ Mark Zelcer, Metascience

    Product details

    • Published: January 2021
    • Format: Paperback
    • ISBN: 9781108742290
    • Length: 82 pages
    • Dimensions: 229 × 152 × 7 mm
    • Weight: 0.138kg
    • Availability: Available

    Table 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.

    Author

    Mark Wilson , University of Pittsburgh