The Caesar Problem in its Historical Context: Mathematical Background

Dialectica 59 (2):237-264 (2005)
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Abstract

The issues surrounding the Caesar problem are assumed to be inert as far as ongoing mathematics is concerned. This paper aims to correct this impression by spelling out the ways that, in their historical context, Frege's remarks would have had considerable resonance with work that other mathematicians such as Riemann and Dedekind were doing. The search for presentation‐independent characterizations of objects and global definitions was seen as bound up with fundamental methodological questions in complex analysis and number theory.

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Jamie Tappenden
University of Michigan, Ann Arbor

Citations of this work

Mathematical concepts: Fruitfulness and naturalness.Jamie Tappenden - 2008 - In Paolo Mancosu (ed.), The Philosophy of Mathematical Practice. Oxford University Press. pp. 276--301.
Frege, Dedekind, and the Origins of Logicism.Erich H. Reck - 2013 - History and Philosophy of Logic 34 (3):242-265.
Formal Arithmetic Before Grundgesetze.Richard Kimberly Heck - 2019 - In Philip A. Ebert & Marcus Rossberg (eds.), Essays on Frege's Basic Laws of Arithmetic. Oxford: Oxford University Press. pp. 497-537.

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References found in this work

Philosophie der Arithmetik.E. G. Husserl - 1891 - The Monist 2:627.
Frege: The Last Logicist.Paul Benacerraf - 1981 - Midwest Studies in Philosophy 6 (1):17-36.
The genesis of ideal theory.Harold M. Edwards - 1980 - Archive for History of Exact Sciences 23 (4):321-378.

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