The logic of impossible quantities

In a ground-breaking essay Nagel contended that the controversy over impossible numbers influenced the development of modern logic. I maintain that Nagel was correct in outline only. He overlooked the fact that the controversy engendered a new account of reasoning, one in which the concept of a well-made language played a decisive role. Focusing on the new account of reasoning changes the story considerably and reveals important but unnoticed similarities between the development of algebraic logic and quantificational logic
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1016/0039-3681(91)90014-J
 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
Download options
PhilPapers Archive

Upload a copy of this paper     Check publisher's policy on self-archival     Papers currently archived: 20,845
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
Willard V. O. Quine (1951). Two Dogmas of Empiricism. Philosophical Review 60 (1):20–43.
Stewart Shapiro (1983). Mathematics and Reality. Philosophy of Science 50 (4):523-548.
David Sherry (1987). The Wake of Berkeley's Analyst: Rigor Mathematicae? Studies in History and Philosophy of Science Part A 18 (4):455-480.

View all 12 references / Add more references

Citations of this work BETA
D. Sherry (1997). On Mathematical Error. Studies in History and Philosophy of Science Part A 28 (3):393-416.

Add more citations

Similar books and articles
David Grünberg (2001). Bootstrapping and the Problem of Testing Quantitative Theoretical Hypotheses. The Proceedings of the Twentieth World Congress of Philosophy 2001:143-150.
Bob Hale (2002). Real Numbers, Quantities, and Measurement. Philosophia Mathematica 10 (3):304-323.
Francesco Berto (2013). Impossible Worlds. Stanford Encyclopedia of Philosophy (2013).
Edward N. Zalta (1997). A Classically-Based Theory of Impossible Worlds. Notre Dame Journal of Formal Logic 38 (4):640-660.

Monthly downloads

Added to index


Total downloads

11 ( #312,296 of 1,906,921 )

Recent downloads (6 months)

3 ( #277,703 of 1,906,921 )

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.