Russell's paradox in consistent fragments of Frege's grundgesetze der arithmetik
In Godehard Link (ed.), One Hundred Years of Russell’s Paradox. de Gruyter (2004)
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We provide an overview of consistent fragments of the theory of Frege’s Grundgesetze der Arithmetik that arise by restricting the second-order comprehension schema. We discuss how such theories avoid inconsistency and show how the reasoning underlying Russell’s paradox can be put to use in an investigation of these fragments.
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References found in this work BETA
The Consistency of Predicative Fragments of Frege’s Grundgesetze der Arithmetik.Richard G. Heck - 1996 - History and Philosophy of Logic 17 (1):209-220.
Saving Frege From Contradiction.George Boolos - 1987 - Proceedings of the Aristotelian Society 87:137--151.
Consistent Fragments of Grundgesetze and the Existence of Non-Logical Objects.Kai F. Wehmeier - 1999 - Synthese 121 (3):309-328.
On the Consistency of the First-Order Portion of Frege's Logical System.Terence Parsons - 1987 - Notre Dame Journal of Formal Logic 28 (1):161-168.
View all 10 references / Add more references
Citations of this work BETA
Materialism and Qualia: The Explanatory Gap.Joseph Levine - 1983 - Pacific Philosophical Quarterly 64 (October):354-61.
Predicativity, the Russell-Myhill Paradox, and Church’s Intensional Logic.Sean Walsh - 2016 - Journal of Philosophical Logic 45 (3):277-326.
Comparing Peano Arithmetic, Basic Law V, and Hume’s Principle.Sean Walsh - 2012 - Annals of Pure and Applied Logic 163 (11):1679-1709.
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Consistent Fragments of Grundgesetze and the Existence of Non-Logical Objects.Kai F. Wehmeier - 1999 - Synthese 121 (3):309-328.
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