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Deflating Existential Commitment Jody Azzouni (Professor of Philosophy, Professor of Philosophy, Tufts University)

Deflating Existential Commitment By Jody Azzouni (Professor of Philosophy, Professor of Philosophy, Tufts University)

Deflating Existential Commitment by Jody Azzouni (Professor of Philosophy, Professor of Philosophy, Tufts University)


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Summary

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.

Deflating Existential Commitment Summary

Deflating Existential Commitment: A Case for Nominalism by Jody Azzouni (Professor of Philosophy, Professor of Philosophy, Tufts University)

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.

Deflating Existential Commitment Reviews

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 *

Table of Contents

Introduction: Part I: Truth and Ontology 1. Why Empirically Indispensable Mathematical Doctrine and (Some) Scientific Law Must Be Taken as True: Preliminary Considerations: 2. Circumventing Commitment to Truth Despite Empirical Indispensability: 3. Criteria for the Ontological Commitments of Discourse: 4. Criteria for What Exists: 5. Ontological Commitment and the Vernacular: Some Writings: Part II: Applied Mathematics and Its Position 6. Posits and the Epistemic Burdens They Bear: 7. Posits and Existence: 8. Applying Mathematics: 9. Applied Mathematics and Ontology: Conclusion: References: Index:

Additional information

NPB9780195159882
9780195159882
0195159888
Deflating Existential Commitment: A Case for Nominalism by Jody Azzouni (Professor of Philosophy, Professor of Philosophy, Tufts University)
New
Hardback
Oxford University Press
2004-02-12
250
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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