Necessary Existence and A Priori Knowledge

Abstract
According to mathematical platonism, mathematical entities (e.g. numbers) exist as abstract objects. If numbers are abstract objects, then I doubt our ability to know of their existence.objects lack causal powers and spatio-temporal location. On the other hand, we human knowers exist within the causal nexus and are wholly spatio-temporal. So our epistemic isolation from abstract objects is total and unbridgeable (Benacerraf 1973, Cheyne 2001). Any version of mathematical platonism that is worth taking seriously must claim that we can and do know of the existence of abstract objects. Since I deny that knowledge of the existence of abstract objects is possible, I reject mathematical platonism
Keywords No keywords specified (fix it)
Categories (categorize this paper)
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 33,167
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

No references found.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

Analytics

Added to PP index
2013-06-13

Total downloads
27 ( #219,246 of 2,242,260 )

Recent downloads (6 months)
1 ( #410,280 of 2,242,260 )

How can I increase my downloads?

Monthly downloads

My notes

Sign in to use this feature