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Deflating Existential Consequence

Deflating Existential Consequence
Author: Jody Azzouni
Publisher: Oxford University Press
Total Pages: 256
Release: 2004-01-08
Genre: Philosophy
ISBN: 0190289457

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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.


Deflating Existential Consequence

Deflating Existential Consequence
Author: Jody Azzouni
Publisher: Oxford University Press, USA
Total Pages: 250
Release: 2004
Genre: Mathematics
ISBN: 0195159888

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If we take mathematical statements to be true, must we also believe in the existence of abstract invisible mathematical objects? This text claims that the way to escape such a commitment is to accept true statements which are about objects that don't exist in any sense at all.


Talking About Nothing

Talking About Nothing
Author: Jody Azzouni
Publisher: Oxford University Press
Total Pages: 288
Release: 2010-09-30
Genre: Philosophy
ISBN: 019989003X

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Ordinary language and scientific language enable us to speak about, in a singular way (using demonstratives and names), what we recognize not to exist: fictions, the contents of our hallucinations, abstract objects, and various idealized but nonexistent objects that our scientific theories are often couched in terms of. Indeed, references to such nonexistent items-especially in the case of the application of mathematics to the sciences-are indispensable. We cannot avoid talking about such things. Scientific and ordinary languages thus enable us to say things about Pegasus or about hallucinated objects that are true (or false), such as "Pegasus was believed by the ancient Greeks to be a flying horse," or "That elf I'm now hallucinating over there is wearing blue shoes." Standard contemporary metaphysical views and semantic analyses of singular idioms on offer in contemporary philosophy of language have not successfully accommodated these routine practices of saying true and false things about the nonexistent while simultaneously honoring the insight that such things do not exist in any way at all (and have no properties). That is, philosophers often feel driven to claim that such objects do exist, or they claim that all our talk isn't genuine truth-apt talk, but only pretence. This book reconfigures metaphysics (and the role of metaphysics in semantics) in radical ways that allow the accommodation of our ordinary ways of speaking of what does not exist while retaining the absolutely crucial presupposition that such objects exist in no way at all, have no properties, and so are not the truth-makers for the truths and falsities that are about them.


Tracking Reason

Tracking Reason
Author: Jody Azzouni
Publisher: Oxford University Press
Total Pages: 255
Release: 2006
Genre: Mathematics
ISBN: 019518713X

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When ordinary people--mathematicians among them--take something to follow (deductively) from something else, they are exposing the backbone of our self-ascribed ability to reason. Jody Azzouni investigates the connection between that ordinary notion of consequence and the formal analogues invented by logicians. One claim of the book is that, despite our apparent intuitive grasp of consequence, we do not introspect rules by which we reason, nor do we grasp the scope and range of the domain, as it were, of our reasoning. This point is illustrated with a close analysis of a paradigmatic case of ordinary reasoning: mathematical proof.


American Philosophy: An Encyclopedia

American Philosophy: An Encyclopedia
Author: John Lachs
Publisher: Routledge
Total Pages: 870
Release: 2008-03-31
Genre: Philosophy
ISBN: 1135948879

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The Encyclopedia of American Philosophy provides coverage of the major figures, concepts, historical periods and traditions in American philosophical thought. Containing over 600 entries written by scholars who are experts in the field, this Encyclopedia is the first of its kind. It is a scholarly reference work that is accessible to the ordinary reader by explaining complex ideas in simple terms and providing ample cross-references to facilitate further study. The Encyclopedia of American Philosophy contains a thorough analytical index and will serve as a standard, comprehensive reference work for universities and colleges. Topics covered include: Great philosophers: Emerson, Dewey, James, Royce, Peirce, Santayana Subjects: Pragmatism, Progress, the Future, Knowledge, Democracy, Growth, Truth Influences on American Philosophy: Hegel, Aristotle, Plato, British Enlightenment, Reformation Self-Assessments: Joe Margolis, Donald Davidson, Susan Haack, Peter Hare, John McDermott, Stanley Cavell Ethics: Value, Pleasure, Happiness, Duty, Judgment, Growth Political Philosophy: Declaration of Independence, Democracy, Freedom, Liberalism, Community, Identity


Ontology Without Borders

Ontology Without Borders
Author: Jody Azzouni
Publisher: Oxford University Press
Total Pages: 321
Release: 2017
Genre: Language Arts & Disciplines
ISBN: 0190622555

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A new approach to the metaphysics, background logic, and semantics of ontological debate, Ontology Without Borders offers new solutions to perennial philosophical puzzles about constitution and the nonexistent. Book jacket.


Philosophies of the Sciences

Philosophies of the Sciences
Author: Fritz Allhoff
Publisher: John Wiley & Sons
Total Pages: 384
Release: 2015-12-02
Genre: Science
ISBN: 1119144817

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A collection of essays discussing a wide range of sciences and the central philosophical issues associated with them, presenting the sciences collectively to encourage a greater understanding of their associative theoretical foundations, as well as their relationships to each other. Offers a new and unique approach to studying and comparing the philosophies of a variety of scientific disciplines Explores a wide variety of individual sciences, including mathematics, physics, chemistry, biology, psychology, sociology and economics The essays are written by leading scholars in a highly accessible style for the student audience Complements more traditional studies of philosophy of science


The Palgrave Handbook of Philosophical Methods

The Palgrave Handbook of Philosophical Methods
Author: Christopher Daly
Publisher: Springer
Total Pages: 1287
Release: 2015-12-31
Genre: Business & Economics
ISBN: 1137344555

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This Handbook contains twenty-six original and substantive papers examining a wide selection of philosophical methods. Drawing upon an international range of leading contributors, it will help shape future debates about how philosophy should be done. The papers will be of particular interest to researchers and high-level undergraduates.


Ontology and the Ambitions of Metaphysics

Ontology and the Ambitions of Metaphysics
Author: Thomas Hofweber
Publisher: Oxford University Press
Total Pages: 382
Release: 2016-08-11
Genre: Philosophy
ISBN: 0191082503

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Many significant problems in metaphysics are tied to ontological questions, but ontology and its relation to larger questions in metaphysics give rise to a series of puzzles that suggest that we don't fully understand what ontology is supposed to do, nor what ambitions metaphysics can have for finding out about what reality is like. Thomas Hofweber aims to solve these puzzles about ontology and consequently to make progress on four central metaphysical problems: the philosophy of arithmetic, the metaphysics of ordinary objects, the problem of universals, and the question of whether the reality is independent of us. Crucial parts of the proposed solution involve considerations about quantification and its relationship to ontology, the place of reference in natural languages, the possibility of ineffable facts, the extent of empirical evidence in metaphysics, and whether metaphysics can be properly esoteric. Overall, Hofweber defends a rationalist account of arithmetic, an empiricist picture in the philosophy of ordinary objects, a restricted form of nominalism, and realism about reality, understood as all there is, but idealism about reality, understood as all that is the case. He defends metaphysics as having some questions of fact that are distinctly its own, with a limited form of autonomy from other parts of inquiry, but rejects several metaphysical projects and approaches as being based on a mistake.