Truth and Existence

Thought: A Journal of Philosophy 6 (1):106-114 (2017)
Download Edit this record How to cite View on PhilPapers
Halbach has argued that Tarski biconditionals are not ontologically conservative over classical logic, but his argument is undermined by the fact that he cannot include a theory of arithmetic, which functions as a theory of syntax. This article is an improvement on Halbach's argument. By adding the Tarski biconditionals to inclusive negative free logic and the universal closure of minimal arithmetic, which is by itself an ontologically neutral combination, one can prove that at least one thing exists. The result can then be strengthened to the conclusion that infinitely many things exist. Those things are not just all Gödel codes of sentences but rather all natural numbers. Against this background inclusive negative free logic collapses into noninclusive free logic, which collapses into classical logic. The consequences for ontological deflationism with respect to truth are discussed.
PhilPapers/Archive ID
Revision history
Archival date: 2019-05-28
View upload history
References found in this work BETA
Computability and Logic.Boolos, George S.; Burgess, John P. & Jeffrey, Richard C.
Proof and Truth.Shapiro, Stewart

View all 10 references / Add more references

Citations of this work BETA

No citations found.

Add more citations

Added to PP index

Total views
74 ( #36,858 of 49,028 )

Recent downloads (6 months)
24 ( #27,738 of 49,028 )

How can I increase my downloads?

Downloads since first upload
This graph includes both downloads from PhilArchive and clicks to external links.