History and Philosophy of Logic 39 (1):80-95 (2018)

Authors
Amirouche Moktefi
Tallinn University of Technology
Francesco Bellucci
University of Bologna
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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DOI 10.1080/01445340.2017.1358414
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References found in this work BETA

Collected Papers on Mathematics, Logic, and Philosophy. [REVIEW]P. Cortois - 1988 - Tijdschrift Voor Filosofie 50 (3):558-559.

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Citations of this work BETA

To Peirce Hintikka’s Thoughts.Ahti-Veikko Pietarinen - 2019 - Logica Universalis 13 (2):241-262.
On the Logical Philosophy of Assertive Graphs.Daniele Chiffi & Ahti-Veikko Pietarinen - 2020 - Journal of Logic, Language and Information 29 (4):375-397.
Notational Differences.Francesco Bellucci & Ahti-Veikko Pietarinen - 2020 - Acta Analytica 35 (2):289-314.

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