Almost no systematic theorizing is generality-free. Scientists test
general hypotheses; set theorists prove theorems about every set;
metaphysicians espouse theses about all things regardless of their
kind. But how general can we be and do we ever succeed in
theorizing about absolutely everything? Not according to generality
relativism. In its most promising form, this kind of relativism
maintains that what 'everything' and other quantifiers encompass is
always open to expansion: no matter how broadly we may generalize,
a more inclusive 'everything' is always available. The importance
of the issue comes out, in part, in relation to the foundations of
mathematics. Generality relativism opens the way to avoid Russell's
paradox without imposing ad hoc limitations on which pluralities of
items may be encoded as a set. On the other hand, generality
relativism faces numerous challenges: What are we to make of
seemingly absolutely general theories? What prevents our achieving
absolute generality simply by using 'everything' unrestrictedly?
How are we to characterize relativism without making use of exactly
the kind of generality this view foreswears? This book offers a
sustained defence of generality relativism that seeks to answer
these challenges. Along the way, the contemporary absolute
generality debate is traced through diverse issues in metaphysics,
logic, and the philosophy of language; some of the key works that
lie behind the debate are reassessed; an accessible introduction is
given to the relevant mathematics; and a relativist-friendly
motivation for Zermelo-Fraenkel set theory is developed.
General
Imprint: |
Oxford UniversityPress
|
Country of origin: |
United Kingdom |
Series: |
Oxford Philosophical Monographs |
Release date: |
April 2019 |
Authors: |
J. P. Studd
(Associate Professor)
|
Dimensions: |
241 x 165 x 22mm (L x W x T) |
Format: |
Hardcover
|
Pages: |
304 |
ISBN-13: |
978-0-19-871964-9 |
Categories: |
Books >
Humanities >
Philosophy >
General
Books >
Philosophy >
General
Promotions
|
LSN: |
0-19-871964-7 |
Barcode: |
9780198719649 |
Is the information for this product incomplete, wrong or inappropriate?
Let us know about it.
Does this product have an incorrect or missing image?
Send us a new image.
Is this product missing categories?
Add more categories.
Review This Product
No reviews yet - be the first to create one!