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Sunday, June 16, 2013

"As far as I know, there are infinitely many stars": Grice and Moore on the infinite -- a bold defence of finitism

Speranza

Anyone who has pondered the limitlessness of space and time, or the endlessness of numbers, or the perfection of God will recognize the special fascination of this question of the infinity.

Adrian Moore's historical study of the infinite covers all its aspects, from the mathematical to the mystical.

Moore's book points to deep and unresolved issues in the philosophy of mathematics, and even deeper issues in general philosophy

It deserves serious study by both mathematicians and philosophers.

Moore's treatment of] the problems with which the history of thought about the infinite confronts us today shows that questions concerning the nature and existence of the infinte are still very much alive.

The importance of Moore's book lies in its highly stimulating account of the nature of infinity and its bold defence of finitism.

 


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