TY - JOUR
T1 - Simplex sigillum veri
T2 - Peano, Frege, and Peirce on the Primitives of Logic
AU - Bellucci, Francesco
AU - Moktefi, Amirouche
AU - Pietarinen, Ahti Veikko
N1 - Funding Information:
Research supported by the Estonian Research Council (PUTJD 72, The Philosophy of Notation, 2015–2017; PUT 1305, Abduction in the Age of Fundamental Uncertainty, 2016–2018).
Publisher Copyright:
© 2017 Informa UK Limited, trading as Taylor & Francis Group
PY - 2018/1/2
Y1 - 2018/1/2
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85028757643&partnerID=8YFLogxK
U2 - 10.1080/01445340.2017.1358414
DO - 10.1080/01445340.2017.1358414
M3 - Journal article
AN - SCOPUS:85028757643
SN - 0144-5340
VL - 39
SP - 80
EP - 95
JO - History and Philosophy of Logic
JF - History and Philosophy of Logic
IS - 1
ER -