David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Synthese 167 (1):163 - 182 (2009)
An account of validity that makes what is invalid conditional on how many individuals there are is what I call a conditional account of validity. Here I defend conditional accounts against a criticism derived from Etchemendy’s well-known criticism of the model-theoretic analysis of validity. The criticism is essentially that knowledge of the size of the universe is non-logical and so by making knowledge of the extension of validity depend on knowledge of how many individuals there are, conditional accounts fail to reflect that the former knowledge is basic, i.e., independent of knowledge derived from other sciences. Appealing to Russell’s pre-Principia logic, I defend conditional accounts against this criticism by sketching a rationale for thinking that there are infinitely many logical objects.
|Keywords||Logical consequence Logical epistemology Russell|
|Categories||categorize this paper)|
|Through your library||Configure|
References found in this work BETA
C. Anthony Anderson (1989). Russellian Intensional Logic. In John Perry, J. Almog & Howard K. Wettstein (eds.), Themes From Kaplan. Oxford University Press. 67--103.
Jon Barwise & John Etchemendy (1999). Language, Proof and Logic. Seven Bridges Press.
Nino B. Cocchiarella (1975). On the Primary and Secondary Semantics of Logical Necessity. Journal of Philosophical Logic 4 (1):13 - 27.
John Divers (2002). Possible Worlds. Routledge.
John Etchemendy (1990). The Concept of Logical Consequence. Harvard University Press.
Citations of this work BETA
No citations found.
Similar books and articles
Ole T. Hjortland (2009). The Structure of Logical Consequence : Proof-Theoretic Conceptions. Dissertation, University of St Andrews
Tomis Kapitan (1982). On the Concept of Material Consequence. History and Philosophy of Logic 3 (2):193-211.
Corine Besson (2012). Logical Knowledge and Ordinary Reasoning. Philosophical Studies 158 (1):59-82.
Christopher Gauker (1990). Semantics Without Reference. Notre Dame Journal of Formal Logic 31 (3):437-461.
Sinan Dogramaci (2010). Knowledge of Validity. Noûs 44 (3):403-432.
Matthew McKeon (2004). On the Substitutional Characterization of First-Order Logical Truth. History and Philosophy of Logic 25 (3):205-224.
M. McKeon (2005). A Defense of the Kripkean Account of Logical Truth in First-Order Modal Logic. Journal of Philosophical Logic 34 (3):305 - 326.
Andrea Iacona (2010). Validity and Interpretation. Australasian Journal of Philosophy 88 (2):247-264.
Hannes Leitgeb (2007). Beliefs in Conditionals Vs. Conditional Beliefs. Topoi 26 (1):115-132.
Corine Besson (2009). Logical Knowledge and Gettier Cases. Philosophical Quarterly 59 (234):1-19.
Added to index2009-01-28
Total downloads13 ( #100,552 of 1,088,854 )
Recent downloads (6 months)1 ( #69,662 of 1,088,854 )
How can I increase my downloads?