Download David Hume's Critique of Infinity (Brill's Studies in by Professor of Philosophy Dale Jacquette PDF

By Professor of Philosophy Dale Jacquette

This learn of Hume's philosophy of arithmetic seriously examines his objections to the idea that of infinity in its old context as a made from Enlightenment thought of data, and assesses the clients of his strict finitism within the gentle of latest arithmetic.

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Extra resources for David Hume's Critique of Infinity (Brill's Studies in Intellectual History)

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W e shall observe the fully fledged d e v e l o p m e n t of w h a t was initially e m b r y o n i c with Augustus into the kind of p a g a n m o n o t h e i s m that paralleled Christian M o n a r c h i a n i s m in the course of the second century ( C h a p t e r 7), a n d which were reflected b o t h in Imperial a n d in C h u r c h O r d e r u n d e r Elagabalus a n d Callistus (Chapter 8). Imperial religious functions were not there­ fore simply a n accidental a p p e n d a g e t h a t could have b e e n different a n d left unaltered a R o m a n society that could simply tolerate Chris­ tianity if presented with a successful apologia.

Physics was studied in G r a e c o - R o m a n philosophical schools in o r d e r to achieve neither a disinterested u n d e r s t a n d i n g of n a t u r e n o r a tech­ nology with which to control it. R a t h e r physics, like metaphysics, was used to service theories of ethics. T h e r e was a n e e d to k n o w the n a t u r e of the universe in o r d e r to discover h o w ethically the b e h a v i o u r of h u m a n beings could fit within it. T h e E p i c u r e a n dis­ covered that d e a t h , in the light of a n atomic theory of the universe, was dissolution a n d that there was n o fear of eternal p u n i s h m e n t , a n d this as such was the purely ethical value of G r e e k atomism.

In t h a t interaction, neither p a r t y simply reacted to the other. E a c h tried to take over a n d refashion the conditions a n d their justi­ fication of each other's social a n d political existence. M y quest is therefore for a sociological m o d e l in contra-cultural theory that will enable discrete relations to be teased out a n d e x a m ­ ined. T h e study of b o t h institutions h a s b e e n bedevilled by t h e assumption by historians until fairly recendy, encouraged by Eusebius, that the form into which b o t h institutions developed finally a r o u n d 2 5 1 , u n d e r Cyprian of C a r t h a g e on the one h a n d , a n d Decius T r a j a n o n the other, h a d b e e n w h a t they were from the very first.

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