Inverse operations with transfinite numbers and the Kalam cosmological argument (1995)

In "Reply To Smith: On The Finitude Of The Past" [1], Professor William Craig writes: I reiterate that Smith has yet to deal with my strongest arguments in favour of the impossibility of the existence of an actual infinite, those based on inverse operations performed with transfinite numbers. [2] I think that this claim is mistaken; for: (i) there is no problem about allowing the inverse operations in question--subtraction, division, extracting roots, etc.--into transfinite ordinal arithmetic[3]; and (ii) there is no problem about the exclusion of these operations from transfinite cardinal arithmetic. I shall take up these points in turn.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history Request removal from index Translate to english
Download options
PhilPapers Archive

Upload a copy of this paper     Check publisher's policy on self-archival     Papers currently archived: 13,022
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.

Citations of this work BETA

No citations found.

Similar books and articles

Monthly downloads

Added to index


Total downloads

197 ( #3,900 of 1,410,432 )

Recent downloads (6 months)

39 ( #3,970 of 1,410,432 )

How can I increase my downloads?

My notes
Sign in to use this feature

Start a new thread
There  are no threads in this forum
Nothing in this forum yet.