Hume’s principle, beginnings

Review of Symbolic Logic 4 (1):114-129 (2011)
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Abstract

In this note we derive Robinson???s Arithmetic from Hume???s Principle in the context of very weak theories of classes and relations.

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10.1017/s1755020310000316

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Citations of this work

Neo-Logicism and Its Logic.Panu Raatikainen - 2020 - History and Philosophy of Logic 41 (1):82-95.
Logicism, Interpretability, and Knowledge of Arithmetic.Sean Walsh - 2014 - Review of Symbolic Logic 7 (1):84-119.
On the Philosophical Significance of Frege’s Constraint.Andrea Sereni - 2019 - Philosophia Mathematica 27 (2):244–275.
The small‐is‐very‐small principle.Albert Visser - 2019 - Mathematical Logic Quarterly 65 (4):453-478.

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References found in this work

Fixing Frege.John P. Burgess - 2005 - Princeton University Press.
Predicative arithmetic.Edward Nelson - 1986 - Princeton, N.J.: Princeton University Press.
Predicative fragments of Frege arithmetic.Øystein Linnebo - 2004 - Bulletin of Symbolic Logic 10 (2):153-174.
Cardinal arithmetic in the style of Baron Von münchhausen.Albert Visser - 2009 - Review of Symbolic Logic 2 (3):570-589.
Predicative Arithmetic.Pavel Pudlák - 1988 - Journal of Symbolic Logic 53 (3):987-989.

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