Our best scientific theories explain a wide range of empirical
phenomena, make accurate predictions, and are widely believed.
Since many of these theories make ample use of mathematics, it is
natural to see them as confirming its truth. Perhaps the use of
mathematics in science even gives us reason to believe in the
existence of abstract mathematical objects such as numbers and
sets. These issues lie at the heart of the Indispensability
Argument, to which this Element is devoted. The Element's first
half traces the evolution of the Indispensability Argument from its
origins in Quine and Putnam's works, taking in naturalism,
confirmational holism, Field's program, and the use of
idealisations in science along the way. Its second half examines
the explanatory version of the Indispensability Argument, and
focuses on several more recent versions of easy-road and hard-road
fictionalism respectively.
General
Imprint: |
Cambridge UniversityPress
|
Country of origin: |
United Kingdom |
Series: |
Elements in the Philosophy of Mathematics |
Release date: |
May 2023 |
Authors: |
A. C. Paseau
• Alan Baker
|
Pages: |
75 |
ISBN-13: |
978-1-00-909685-0 |
Categories: |
Books
Promotions
|
LSN: |
1-00-909685-0 |
Barcode: |
9781009096850 |
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