Aristotle: an ancient mathematical logician


Authors
George Boger
Canisius College
Abstract
We can now recognize Aristotle's many accomplishments in logical theory, not the least of which is treating the deduction process itself as a subject matter and thus establishing the science of logic. Aristotle took logic to be that part of epistemolo gy used to establish knowledge of logical consequence. Prior Analytics is a metalogical treatise on his syllogistic system in which Aristotle modelled his deduction system to demonstrate certain logical relationships among its rules. Aristotle's n otion of substitution distinguishes logical syntax from semantics and enabled him to distinguish validity from deducibility sufficiently to note the completeness of his logic.
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: 42,172
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

Philosophy of Logic.Michael Jubien & W. V. Quine - 1988 - Journal of Symbolic Logic 53 (1):303.
Aristotle: Posterior Analytics.John W. Konkle & Jonathan Barnes - 1995 - Philosophical Quarterly 45 (181):510.
Aristotle's Prior Analytics.Robin Smith - 1989 - Hackett Publishing Company.
The Founding of Logic.John Corcoran - 1994 - Ancient Philosophy 14 (Special Issue):9-24.

View all 24 references / Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

A Mathematical Model of Aristotle’s Syllogistic.John Corcoran - 1973 - Archiv für Geschichte der Philosophie 55 (2):191-219.
Completeness of an Ancient Logic.John Corcoran - 1972 - Journal of Symbolic Logic 37 (4):696-702.
The Founding of Logic.John Corcoran - 1994 - Ancient Philosophy 14 (Special Issue):9-24.
Prinzipien und expositorische Beweise in Aristoteles' Syllogistik.Michael Wolff - 1998 - Logical Analysis and History of Philosophy 1.
Is Aristotle's Syllogistic a Logic?Phil Corkum - forthcoming - History and Philosophy of Logic.

Analytics

Added to PP index
2015-04-02

Total views
16 ( #507,858 of 2,253,661 )

Recent downloads (6 months)
8 ( #196,902 of 2,253,661 )

How can I increase my downloads?

Downloads

My notes

Sign in to use this feature