In Bob Hale & Crispin Wright (eds.), Notre Dame Journal of Formal Logic. Oxford University Press. pp. 307-333 (2001)
This paper is a reply to George Boolos's three papers (Boolos (1987a, 1987b, 1990a)) concerned with the status of Hume's Principle. Five independent worries of Boolos concerning the status of Hume's Principle as an analytic truth are identified and discussed. Firstly, the ontogical concern about the commitments of Hume's Principle. Secondly, whether Hume's Principle is in fact consistent and whether the commitment to the universal number by adopting Hume's Principle might be problematic. Also the so-called `surplus content' worry is discussed, which points out that the conceptual resources to grasp Hume's Principle vastly outstrip the conceptual resources employed in arithmetical reasoning. And lastly whether Hume's Principle is in bad company with other unsuccessful implicit definitions. In the last section, an account towards our entitlement to Hume&'s Principle is sketched.
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
References found in this work BETA
No references found.
Citations of this work BETA
Logicism, Interpretability, and Knowledge of Arithmetic.Sean Walsh - 2014 - Review of Symbolic Logic 7 (1):84-119.
Comparing Peano Arithmetic, Basic Law V, and Hume's Principle.Sean Walsh - 2012 - Annals of Pure and Applied Logic 163 (11):1679-1709.
Meaning and Justification: The Case of Modus Ponens.Joshua Schechter & David Enoch - 2006 - Noûs 40 (4):687 - 715.
Relative Categoricity and Abstraction Principles.Sean Walsh & Sean Ebels-Duggan - 2015 - Review of Symbolic Logic 8 (3):572-606.
Similar books and articles
Hume on the Distinction of Reason.Paul Hoffman - 2011 - British Journal for the History of Philosophy 19 (6):1131 - 1141.
On Some Criticisms of Hume's Principle of Proportioning Cause to Effect.John Beaudoin - 1999 - Philo 2 (2):26-40.
Mixed Feelings, Mixed Metaphors: Hume On Tragic Pleasure.A. Merivale - 2011 - British Journal of Aesthetics 51 (3):259-269.
A Puzzle About Ontological Commitments.Philip A. Ebert - 2007 - Philosophia Mathematica 16 (2):209-226.
Added to index2009-08-21
Total downloads113 ( #43,203 of 2,164,542 )
Recent downloads (6 months)3 ( #128,957 of 2,164,542 )
How can I increase my downloads?