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)
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.