Philosophical Logic Language

Download PDF by Charles S. Chihara: A Structural Account of Mathematics

By Charles S. Chihara

ISBN-10: 0199228078

ISBN-13: 9780199228072

ISBN-10: 0199267537

ISBN-13: 9780199267538

Charles Chihara's new ebook develops and defends a structural view of the character of arithmetic, and makes use of it to give an explanation for a few amazing gains of arithmetic that experience wondered philosophers for hundreds of years. The view is used to teach that, which will know how mathematical platforms are utilized in technological know-how and lifestyle, it isn't essential to think that its theorems both presuppose mathematical items or are even precise.

Chihara builds upon his prior paintings, within which he offered a brand new procedure of arithmetic, the constructibility conception, which didn't make connection with, or resuppose, mathematical items. Now he develops the undertaking extra by means of studying mathematical structures presently utilized by scientists to teach how such structures fit with this nominalistic outlook. He advances a number of new methods of undermining the seriously mentioned indispensability argument for the lifestyles of mathematical items made well-known via Willard Quine and Hilary Putnam. And Chihara offers a motive for the nominalistic outlook that's fairly various from these in most cases recommend, which he continues have resulted in critical misunderstandings.

A Structural Account of Mathematics may be required studying for an individual operating during this field.

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A Structural Account of Mathematics by Charles S. Chihara

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