David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
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)|
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
Ludwig Wittgenstein (1922/1999). Tractatus Logico-Philosophicus. Dover Publications.
Hartry Field (1989). Realism, Mathematics & Modality. Basil Blackwell.
John Divers (2002). Possible Worlds. Routledge.
Bertrand Russell (1919/1993). Introduction to Mathematical Philosophy. Dover Publications.
Citations of this work BETA
No citations found.
Similar books and articles
Hannes Leitgeb (2007). Beliefs in Conditionals Vs. Conditional Beliefs. Topoi 26 (1):115-132.
Andrea Iacona (2010). Validity and Interpretation. Australasian Journal of Philosophy 88 (2):247-264.
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.
Matthew McKeon (2004). On the Substitutional Characterization of First-Order Logical Truth. History and Philosophy of Logic 25 (3):205-224.
Sinan Dogramaci (2010). Knowledge of Validity. Noûs 44 (3):403-432.
Christopher Gauker (1990). Semantics Without Reference. Notre Dame Journal of Formal Logic 31 (3):437-461.
Corine Besson (2012). Logical Knowledge and Ordinary Reasoning. Philosophical Studies 158 (1):59-82.
Tomis Kapitan (1982). On the Concept of Material Consequence. History and Philosophy of Logic 3 (2):193-211.
Corine Besson (2009). Logical Knowledge and Gettier Cases. Philosophical Quarterly 59 (234):1-19.
Added to index2009-01-28
Total downloads27 ( #140,794 of 1,792,839 )
Recent downloads (6 months)4 ( #207,535 of 1,792,839 )
How can I increase my downloads?