David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jack Alan Reynolds
Learn more about PhilPapers
Notre Dame Journal of Formal Logic 25 (4):289-302 (1984)
The standard response is illustrated by E, J. Lemmon's claim that if all objects in a given universe had names and there were only finitely many of them, then we could always replace a universal proposition about that universe by a complex proposition. It is because these two requirements are not always met that we need universal quantification. This paper is partly in agreement with Lemmon and partly in disagreement. From the point of view of syntax and semantics we can replace a universal proposition about any universe (finite or infinite, countable or uncountable) by a complex proposition (= sentence built up from atomic sentences and the connectives). But from the point of view of communication such a replacement is not possible if the universe is infinite.
|Keywords||E. J. Lemmon universe of discourse|
|Categories||categorize this paper)|
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
Massimiliano Carrara & Enrico Martino (2011). On the Infinite in Mereology with Plural Quantification. Review of Symbolic Logic 4 (1):54-62.
James W. Mcallister (1999). Universal Regularities and Initial Conditions in Newtonian Physics. Synthese 120 (3):325-343.
Vladimir L. Vasyukov (2007). Structuring the Universe of Universal Logic. Logica Universalis 1 (2):277-294.
Jose M. Saguillo (1999). Domains of Sciences, Universes of Discourse and Omega Arguments. History and Philosophy of Logic 20 (3-4):267-290.
Attila Grandpierre (2000). The Universal Organisation Principle as Ultimate Reality and Meaning. Ultimate Reality and Meaning 23:12-35.
Philip Hugly & Charles Sayward (1979). A Semantical Account of the Vicious Circle Principle. Notre Dame Journal of Formal Logic 20 (3):595-598.
Saharon Shelah (2000). On Quantification with a Finite Universe. Journal of Symbolic Logic 65 (3):1055-1075.
Neil Manson (2003). Fine-Tuning, Multiple Universes, and the 'This Universe' Objection. Pacific Philosophical Quarterly 84 (1):67 - 83.
James W. Sire (2009). The Universe Next Door: A Basic Worldview Catalog. Intervarsity Press.
Added to index2010-08-24
Total downloads15 ( #226,477 of 1,789,830 )
Recent downloads (6 months)4 ( #197,702 of 1,789,830 )
How can I increase my downloads?