Logic as instrument: the millian view on the role of logic

History and Philosophy of Logic 17 (1-2):73-83 (1996)

Authors
Ken Akiba
Virginia Commonwealth University
Abstract
I interpret Mill?s view on logic as the instrumentalist view that logical inferences, complex statements, and logical operators are not necessary for reasoning itself, but are useful only for our remembering and communicating the results of the reasoning. To defend this view, I first show that we can transform all the complex statements in the language of classical first-order logic into what I call material inference rules and reduce logical inferences to inferences which involve only atomic statements and the material inference rules. Then I explain why we introduce logical operators and logical inference rules into a system of the latter kind. In the end I determine what kind of negation is justified from this point of view
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1080/01445349608837258
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: 46,282
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

Conditionals.Frank Jackson (ed.) - 1991 - Oxford University Press.
The Uses of Argument.Frederick L. Will & Stephen Toulmin - 1960 - Philosophical Review 69 (3):399.

View all 8 references / Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

What is the Normative Role of Logic?Hartry Field - 2009 - Aristotelian Society Supplementary Volume 83 (1):251-268.
The Inconspicuous Role of Paraphrase.David Sherry - 1991 - History and Philosophy of Logic 12 (2):151-166.
Logical Pluralism.Jc Beall & Greg Restall - 2005 - Oxford University Press.
Logical Pluralism.Jc Beall & Greg Restall - 2000 - Australasian Journal of Philosophy 78 (4):475 – 493.
Propositional Logic.Kevin C. Klement - 2004 - Internet Encyclopedia of Philosophy.
Logic and Truth.Ken Akiba - 2000 - Journal of Philosophical Research 25:101-123.

Analytics

Added to PP index
2010-08-10

Total views
45 ( #197,896 of 2,285,994 )

Recent downloads (6 months)
4 ( #319,978 of 2,285,994 )

How can I increase my downloads?

Downloads

My notes

Sign in to use this feature