From Logic to Practice: Italian Studies in the Philosophy of Mathematics

Cham: Springer International Publishing (2014)
  Copy   BIBTEX


In the Tractatus, it is stated that questions about logical formatting cannot be meaningfully formulated, since it is precisely the application of logical rules which enables the formulation of a question whatsoever; analogously, Wittgenstein’s celebrated infinite regress argument on rule-following seems to undermine any explanation of deduction, as relying on a logical argument. On the other hand, some recent mathematical developments of the Curry-Howard bridge between proof theory and type theory address the issue of describing the “subjective” side of logic, that is, the concrete manipulation of rules and proofs in space and time. It is advocated that such developments can shed some light on the question of logical formatting and its apparently unintelligible paradoxes, thus reconsidering Wittgenstein’s verdict.



    Upload a copy of this work     Papers currently archived: 83,878

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

From the Logic of Labor to the Logic of Practice.Xia Long - 2010 - Modern Philosophy 4:19-23 + 71.
Logic in theory and practice.Charles Gray Shaw - 1935 - New York,: Prentice-Hall.
Ethnomethodology and the logic of practice.Michael Lynch - 2001 - In Theodore R. Schatzki, K. Knorr-Cetina & Eike von Savigny (eds.), The Practice Turn in Contemporary Theory. Routledge. pp. 131--148.
QED: fenomenologia della dimostrazione.Gabriele Lolli - 2005 - Torino: Bollati Boringhieri.
On Ramsey's theorem and the axiom of choice.Gabriele Lolli - 1977 - Notre Dame Journal of Formal Logic 18 (4):599-601.
Logic: theory and practice.M. K. Rennie - 1973 - Brisbane,: University of Queensland Press. Edited by Roderick A. Girle.
Actual Causation in CP-logic.Vennekens Joost - 2011 - Theory and Practice of Logic Programming 11:647-662.
Preservation of suslin trees and side conditions.Giorgio Venturi - 2016 - Journal of Symbolic Logic 81 (2):483-492.


Added to PP

11 (#884,511)

6 months
2 (#327,303)

Historical graph of downloads
How can I increase my downloads?

Author Profiles

Giorgio Venturi
University of Campinas
Marco Panza
Centre National de la Recherche Scientifique

Citations of this work

No citations found.

Add more citations

References found in this work

No references found.

Add more references