Tonk- A Full Mathematical Solution

Abstract

There is a long tradition (See e.g. [9, 10]) starting from [12], according to which the meaning of a connective is determined by the introduction and elimination rules which are associated with it. The supporters of this thesis usually have in mind natural deduction systems of a certain ideal type (explained in Section 3 below). Unfortunately, already the handling of classical negation requires rules which are not of that type. This problem can be solved in the framework of multiple-conclusion Gentzen-type systems (also first introduced in [12]), where instead of introduction and elimination rules there are left introduction rules and right introduction rules.

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 90,221

External links

  • This entry has no external links. Add one.
Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

  • Only published works are available at libraries.

Similar books and articles

Harmony and autonomy in classical logic.Stephen Read - 2000 - Journal of Philosophical Logic 29 (2):123-154.
Rule-circularity and the justification of deduction.By Neil Tennant - 2005 - Philosophical Quarterly 55 (221):625–648.
Harmonising Natural Deduction.Hartley Slater - 2008 - Synthese 163 (2):187 - 198.
Connectives stranger than tonk.Heinrich Wansing - 2006 - Journal of Philosophical Logic 35 (6):653 - 660.

Analytics

Added to PP
2009-01-28

Downloads
25 (#540,179)

6 months
1 (#1,027,696)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Arnon Avron
Tel Aviv University

Citations of this work

Sentence connectives in formal logic.Lloyd Humberstone - forthcoming - Stanford Encyclopedia of Philosophy.
Necessity of Thought.Cesare Cozzo - 2015 - In Heinrich Wansing (ed.), Dag Prawitz on Proofs and Meaning. Springer. pp. 101-20.
Dag Prawitz on Proofs and Meaning.Heinrich Wansing (ed.) - 2014 - Cham, Switzerland: Springer.
The Explosion Calculus.Michael Arndt - 2020 - Studia Logica 108 (3):509-547.

Add more citations

References found in this work

No references found.

Add more references