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Deflating Existential Commitment: A Case for Nominalism

Autor Jody Azzouni
en Limba Engleză Hardback – 12 feb 2004
If we must take mathematical statements to be true, must we also believe in the existence of abstract invisible mathematical objects accessible only by the power of pure thought? Jody Azzouni says no, and he claims that the way to escape such commitments is to accept (as an essential part of scientific doctrine) true statements which are about objects that don't exist in any sense at all. Azzouni illustrates what the metaphysical landscape looks like once we avoid a militant Realism which forces our commitment to anything that our theories quantify over. Escaping metaphysical straitjackets (such as the correspondence theory of truth), while retaining the insight that some truths are about objects that do exist, Azzouni says that we can sort scientifically-given objects into two categories: ones which exist, and to which we forge instrumental access in order to learn their properties, and ones which do not, that is, which are made up in exactly the same sense that fictional objects are. He offers as a case study a small portion of Newtonian physics, and one result of his classification of its ontological commitments, is that it does not commit us to absolute space and time.
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Specificații

ISBN-13: 9780195159882
ISBN-10: 0195159888
Pagini: 256
Dimensiuni: 231 x 163 x 25 mm
Greutate: 0.54 kg
Editura: OUP OXFORD
Colecția OUP Oxford
Locul publicării:Oxford, United States

Recenzii

An exciting and provocative book defending an original combination of views which deserves to stimulate discussion in foundational ontological issues and in the philosophy of mathematics.
[Azzouni] supplies an informative and reasonably subtle account of how mathematics gets applied in scientific theorizing.