The <i>Zahl-Anzahl</i> Distinction in Gottlob Frege: Arithmetic of Natural Numbers with <i>Anzahl</i> as a Primitive Term
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 axio...
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-12-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/9/1/6 |
| Summary: | 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 (<i>N</i>) term is replaced by the term <i>Anzahl</i> (<i>A</i>). The functor of the successor (<i>S</i>) is defined in it. |
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| ISSN: | 2075-1680 |