A quantum logic of down below

Abstract
The logic that was purpose-built to accommodate the hoped-for reduction of arithmetic gave to language a dominant and pivotal place. Flowing from the founding efforts of Frege, Peirce, and Whitehead and Russell, this was a logic that incorporated proof theory into syntax, and in so doing made of grammar a senior partner in the logicistic enterprise. The seniority was reinforced by soundness and completeness metatheorems, and, in time, Quine would quip that the “grammar [of logic] is linguistics on purpose” [Quine, 1970, p. 15] and that “logic chases truth up the tree of grammar” [Quine, 1970, p. 35]. Nor was the centrality of syntax lost with the G¨.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
Options
 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: 10,398
External links
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library
References found in this work BETA

No references found.

Citations of this work BETA

No citations found.

Similar books and articles
Michael Dickson (2001). Quantum Logic is Alive ∧ (It is True ∨ It is False). Proceedings of the Philosophy of Science Association 2001 (3):S274 - S287.
Michael R. Gardner (1971). Is Quantum Logic Really Logic? Philosophy of Science 38 (4):508-529.
J. Brent Crouch (2010). Between Frege and Peirce: Josiah Royce's Structural Logicism. Transactions of the Charles S. Peirce Society 46 (2):155-177.
J. Michael Dunn (1980). Quantum Mathematics. PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1980:512 - 531.
James H. McGrath (1978). Only If Quanta Had Logic. PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1978:268 - 275.
Eli Dresner (1999). Quine's Philosophy of Language and Polish Logic. History and Philosophy of Logic 20 (2):79-96.
Analytics

Monthly downloads

Added to index

2009-01-28

Total downloads

9 ( #153,019 of 1,096,895 )

Recent downloads (6 months)

1 ( #273,368 of 1,096,895 )

How can I increase my downloads?

My notes
Sign in to use this feature


Discussion
Start a new thread
Order:
There  are no threads in this forum
Nothing in this forum yet.