The Failure of Leibniz's Infinite Analysis view of Contingency

Abstract
Abstract : In this paper, it is argued that Leibniz’s view that necessity is grounded in the availability of a demonstration is incorrect and furthermore, can be shown to be so by using Leibniz’s own examples of infinite analyses. First, I show that modern mathematical logic makes clear that Leibniz’s "infinite analysis" view of contingency is incorrect. It is then argued that Leibniz's own examples of incommensurable lines and convergent series undermine, rather than bolster his view by providing examples of necessary mathematical truths that are not demonstrable. Finally, it is argued that a more modern view on convergent series would, in certain respects, help support some claims he makes about the necessity of mathematical truths, but would still not yield a viable theory of necessity due to remaining problems with other logical, mathematical, and modal claims
Keywords No keywords specified (fix it)
Categories (categorize this paper)
Options
 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: 11,826
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
David Blumenfeld (1985). Leibniz on Contingency and Infinite Analysis. Philosophy and Phenomenological Research 45 (4):483-514.
Harry G. Frankfurt (1972). Leibniz. Garden City, N.Y.,Anchor Books.
Lynne Rudder Baker (1985). Was Leibniz Entitled to Possible Worlds? Canadian Journal of Philosophy 15 (1):57-74.
Brandon C. Look, Leibniz's Modal Metaphysics. Stanford Encyclopedia of Philosophy.
Gordon Prescott Barnes (2007). Necessity and Apriority. Philosophical Studies 132 (3):495 - 523.
Analytics

Monthly downloads

Added to index

2011-10-19

Total downloads

22 ( #81,900 of 1,100,145 )

Recent downloads (6 months)

6 ( #51,421 of 1,100,145 )

How can I increase my downloads?

My notes
Sign in to use this feature


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