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

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)
 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: 9,351
External links
  • Through your library Configure
    References found in this work BETA
    Stephen Read (1994). Formal and Material Consequence. Journal of Philosophical Logic 23 (3):247 - 265.

    View all 6 references

    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.
    David Sherry (1991). The Inconspicuous Role of Paraphrase. History and Philosophy of Logic 12 (2):151-166.
    Jc Beall & Greg Restall (2000). Logical Pluralism. Australasian Journal of Philosophy 78 (4):475 – 493.
    Kevin C. Klement, Propositional Logic. Internet Encyclopedia of Philosophy.
    Ken Akiba (2000). Logic and Truth. Journal of Philosophical Research 25:101-123.

    Monthly downloads

    Added to index


    Total downloads

    8 ( #138,461 of 1,088,372 )

    Recent downloads (6 months)

    1 ( #69,449 of 1,088,372 )

    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.