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Open AccessArticle

The Zahl-Anzahl Distinction in Gottlob Frege: Arithmetic of Natural Numbers with Anzahl as a Primitive Term

Division of Philosophy of Nature, Hugo Kołłątaj Agriculture University of Cracow, 29 Listopada 46, 31-425 Cracow, Poland
Received: 15 October 2019 / Revised: 24 December 2019 / Accepted: 24 December 2019 / Published: 31 December 2019
(This article belongs to the Special Issue Deductive Systems)
The starting point is Peano’s expression of the axiomatics of natural numbers in the framework of Leśniewski’s elementary ontology. The author enriches elementary ontology with the so-called Frege’s predication scheme and goes on to propose the formulations of this axiomatic, in which the original natural number (N) term is replaced by the term Anzahl (A). The functor of the successor (S) is defined in it. View Full-Text
Keywords: Peano’s axiomatics of natural numbers; Leśniewski’s elementary ontology; Frege’s predication scheme; Frege’s Zahl-Anzahl distinction Peano’s axiomatics of natural numbers; Leśniewski’s elementary ontology; Frege’s predication scheme; Frege’s Zahl-Anzahl distinction
MDPI and ACS Style

Wojciechowski, E. The Zahl-Anzahl Distinction in Gottlob Frege: Arithmetic of Natural Numbers with Anzahl as a Primitive Term. Axioms 2020, 9, 6.

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