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

Springer International Publishing (2014)


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.

Download options


    Upload a copy of this work     Papers currently archived: 72,660

External links

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

Through your library


Added to PP

7 (#1,075,374)

6 months
1 (#388,311)

Historical graph of downloads
How can I increase my downloads?

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.
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.
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.