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Nominalism and Constructivism in Seventeenth-Century Mathematical Philosophy, Sepkoski, David


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Автор: Sepkoski, David
Название:  Nominalism and Constructivism in Seventeenth-Century Mathematical Philosophy
ISBN: 9780415702119
Издательство: Taylor&Francis
Классификация:
ISBN-10: 0415702119
Обложка/Формат: Hardback
Страницы: 180
Вес: 0.42 кг.
Дата издания: 15.06.2007
Серия: Routledge studies in seventeenth-century philosophy
Язык: English
Размер: 234 x 164 x 16
Читательская аудитория: Undergraduate
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Поставляется из: Европейский союз


Deflating existential consequence

Автор: Azzouni, Jody (professor Of Philosophy, Professor Of Philosophy, Tufts University)
Название: Deflating existential consequence
ISBN: 0195308670 ISBN-13(EAN): 9780195308679
Издательство: Oxford Academ
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Цена: 5701.00 р.
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Описание: 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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