Introduction: History and Philosophy of Logical Notation

History and Philosophy of Logic 39 (1):1-2 (2018)
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Abstract

We propose a reconstruction of the constellation of problems and philosophical positions on the nature and number of the primitives of logic in four authors of the nineteenth century logical scene: Peano, Padoa, Frege and Peirce. We argue that the proposed reconstruction forces us to recognize that it is in at least four different senses that a notation can be said to be simpler than another, and we trace the origins of these four senses in the writings of these authors. We conclude that Frege, and even more so Peirce, developed new notations not to make drawing logical conclusions easier but in order to answer the needs of logical analysis.

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Author Profiles

Amirouche Moktefi
Tallinn University of Technology
Ahti-Veikko Pietarinen
Hong Kong Baptist University
Francesco Bellucci
University of Bologna

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References found in this work

Principia mathematica.A. N. Whitehead & B. Russell - 1910-1913 - Revue de Métaphysique et de Morale 19 (2):19-19.
Posthumous Writings.Gottlob Frege - 1982 - Revue Philosophique de la France Et de l'Etranger 172 (1):101-103.
Combinatory Logic.Haskell B. Curry, J. Roger Hindley & Jonathan P. Seldin - 1977 - Journal of Symbolic Logic 42 (1):109-110.

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