The Scandal of Deduction and Aristotle’s Method for Discovering Syllogisms

Rhizomata 8 (2):289-311 (2021)
  Copy   BIBTEX

Abstract

(1) If a deductive argument is valid, then the conclusion is not novel. (2) If the conclusion of an argument is not novel, the argument is not useful. So, (3) if a deductive argument is valid, it is not useful. This conclusion, (3), is unacceptable. Since the argument is valid, we must reject at least one premise. So, should we reject (1) or (2)? This puzzle is usually known as the ‘scandal of deduction’. Analytic philosophers have tried to reject (1) but have assumed premise (2). I argue here that Aristotle would deny (2). Aristotle thinks that at least some deductive arguments are useful, even though they present no new conclusions. Thus, Aristotle’s view contrasts with analytic philosophers of logic, who assume that all useful deductive arguments present novel conclusions. I don’t claim that Aristotle ‘solves’ the problem: it was never posed in Aristotle’s time. Rather, I suggest that Aristotle does not face the problem because he assumes deductions can be useful, without presenting novel conclusions. Aristotle’s view of deduction tames the scandal.

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,752

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

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.
Aristotle's Many-sorted Logic.J. Corcoran - 2008 - Bulletin of Symbolic Logic 14 (1):155-156.
The practical syllogism in Aristotle: a new interpretation.Anthony W. Price - 2008 - History of Philosophy & Logical Analysis 11:151-162.
The Practical Syllogism in Aristotle. A New Interpretation.Anthony Price - 2009 - History of Philosophy & Logical Analysis 12.
Why Are There No Conditionals in Aristotle’s Logic?David Ebrey - 2015 - Journal of the History of Philosophy 53 (2):185-205.
Aristotle on Deduction and Inferential Necessity.Jean-Louis Hudry - 2013 - Review of Metaphysics 67 (1):29-54.
Aristotle on Circular Proof.Marko Malink - 2013 - Phronesis 58 (3):215-248.
Aristotle'S natural deduction reconsidered.John M. Martin - 1997 - History and Philosophy of Logic 18 (1):1-15.
Aristotle’s Theory of Deduction and Paraconsistency.Evandro Luís Gomes & Itala M. Loffredo D'Ottaviano - 2010 - Principia: An International Journal of Epistemology 14 (1):71–97.

Analytics

Added to PP
2021-04-09

Downloads
19 (#796,059)

6 months
5 (#628,512)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Matthew Duncombe
Nottingham University

Citations of this work

No citations found.

Add more citations

References found in this work

The logical basis of metaphysics.Michael Dummett - 1991 - Cambridge, Mass.: Harvard University Press.
The Logic of Scientific Discovery.Karl Popper - 1959 - Studia Logica 9:262-265.
The Logic of Scientific Discovery.Karl R. Popper - 1959 - Les Etudes Philosophiques 14 (3):383-383.

View all 35 references / Add more references