David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
History and Philosophy of Logic 17 (1-2):73-83 (1996)
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)|
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
Lewis Carroll (1895). What the Tortoise Said to Achilles. Mind 4 (14):278-280.
Frank Jackson (1987). Conditionals. Blackwell.
Dag Prawitz (1965/2006). Natural Deduction: A Proof-Theoretical Study. Dover Publications.
Stephen Read (1994). Formal and Material Consequence. Journal of Philosophical Logic 23 (3):247 - 265.
Citations of this work BETA
No citations found.
Similar books and articles
Hartry Field (2009). What is the Normative Role of Logic? Aristotelian Society Supplementary Volume 83 (1):251-268.
Gregory Wheeler (2008). Applied Logic Without Psychologism. Studia Logica 88 (1):137 - 156.
Kevin C. Klement, Propositional Logic. Internet Encyclopedia of Philosophy.
Jc Beall & Greg Restall (2000). Logical Pluralism. Australasian Journal of Philosophy 78 (4):475 – 493.
Jc Beall & Greg Restall (2006). Logical Pluralism. Oxford University Press.
Jaroslav Peregrin (2008). What is the Logic of Inference? Studia Logica 88 (2):263 - 294.
David Sherry (1991). The Inconspicuous Role of Paraphrase. History and Philosophy of Logic 12 (2):151-166.
Ken Akiba (2000). Logic and Truth. Journal of Philosophical Research 25:101-123.
Added to index2010-08-10
Total downloads10 ( #152,329 of 1,100,127 )
Recent downloads (6 months)2 ( #190,012 of 1,100,127 )
How can I increase my downloads?