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9780195159882: Deflating Existential Consequence: A Case for Nominalism
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If we must take mathematical statements to be true, must we also believe in the existence of abstracta eternal 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. 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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About the Author:
Jody Azzouni is at Tufts University.
Review:

"...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." --Notre Dame Philosophical Reviews


"[Azzouni] supplies an informative -and reasonably subtle- account of how mathematics gets applied in scientific theorizing." --Notre Dame Journal of Formal Logic


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  • PublisherOxford University Press
  • Publication date2004
  • ISBN 10 0195159888
  • ISBN 13 9780195159882
  • BindingHardcover
  • Edition number1
  • Number of pages256
  • Rating

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Book Description Hardcover. Condition: new. Hardcover. 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 avoida 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 insightthat 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 doesnot commit us to absolute space and time. If we take mathematical statements to be true, then must we also believe in the existence of invisible mathematical objects, accessible only by the power of thought? Jody Azzouni says we do not have to, and claims that the way to escape such a commitment is to accept - as an essential part of scientific doctrine - true statements which are 'about' objects which don't exist in any real sense. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Seller Inventory # 9780195159882

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