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 |
| _version_ | 1819112322763849728 |
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| author | Eugeniusz Wojciechowski |
| author_facet | Eugeniusz Wojciechowski |
| author_sort | Eugeniusz Wojciechowski |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-22T04:11:40Z |
| format | Article |
| id | doaj.art-4a83774b16a04e00bb4a659cb1b36b31 |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-12-22T04:11:40Z |
| publishDate | 2019-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-4a83774b16a04e00bb4a659cb1b36b312022-12-21T18:39:30ZengMDPI AGAxioms2075-16802019-12-0191610.3390/axioms9010006axioms9010006The <i>Zahl-Anzahl</i> Distinction in Gottlob Frege: Arithmetic of Natural Numbers with <i>Anzahl</i> as a Primitive TermEugeniusz Wojciechowski0Division of Philosophy of Nature, Hugo Kołłątaj Agriculture University of Cracow, 29 Listopada 46, 31-425 Cracow, PolandThe 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.https://www.mdpi.com/2075-1680/9/1/6peano’s axiomatics of natural numbersleśniewski’s elementary ontologyfrege’s predication schemefrege’s <i>zahl-anzahl</i> distinction |
| spellingShingle | Eugeniusz Wojciechowski The <i>Zahl-Anzahl</i> Distinction in Gottlob Frege: Arithmetic of Natural Numbers with <i>Anzahl</i> as a Primitive Term Axioms peano’s axiomatics of natural numbers leśniewski’s elementary ontology frege’s predication scheme frege’s <i>zahl-anzahl</i> distinction |
| title | The <i>Zahl-Anzahl</i> Distinction in Gottlob Frege: Arithmetic of Natural Numbers with <i>Anzahl</i> as a Primitive Term |
| title_full | The <i>Zahl-Anzahl</i> Distinction in Gottlob Frege: Arithmetic of Natural Numbers with <i>Anzahl</i> as a Primitive Term |
| title_fullStr | The <i>Zahl-Anzahl</i> Distinction in Gottlob Frege: Arithmetic of Natural Numbers with <i>Anzahl</i> as a Primitive Term |
| title_full_unstemmed | The <i>Zahl-Anzahl</i> Distinction in Gottlob Frege: Arithmetic of Natural Numbers with <i>Anzahl</i> as a Primitive Term |
| title_short | The <i>Zahl-Anzahl</i> Distinction in Gottlob Frege: Arithmetic of Natural Numbers with <i>Anzahl</i> as a Primitive Term |
| title_sort | i zahl anzahl i distinction in gottlob frege arithmetic of natural numbers with i anzahl i as a primitive term |
| topic | peano’s axiomatics of natural numbers leśniewski’s elementary ontology frege’s predication scheme frege’s <i>zahl-anzahl</i> distinction |
| url | https://www.mdpi.com/2075-1680/9/1/6 |
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