Defining mathematics
Any definition of mathematics falls outside its field of investigation. When mathematics is set theory, the history of mathematics prior to the investing of set theory is eliminated. Arguing that the aspects of number and space delimit mathematics makes it possible to avoid both Platonism and const...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of the Free State
2011-12-01
|
| Series: | Acta Academica |
| Online Access: | http://196.255.246.28/index.php/aa/article/view/1328 |
| _version_ | 1827315251837665280 |
|---|---|
| author | Danie Strauss |
| author_facet | Danie Strauss |
| author_sort | Danie Strauss |
| collection | DOAJ |
| description |
Any definition of mathematics falls outside its field of investigation. When mathematics is set theory, the history of mathematics prior to the investing of set theory is eliminated. Arguing that the aspects of number and space delimit mathematics makes it possible to avoid both Platonism and constructivism in mathematics. Every philosophy of mathematics should be able to account for the nature and status of the infinite. That set theory is a spatially deepened theory of numbers cannot be accounted for by what Lakoff and Núñez call the Basic Metaphor of Infinity. Gödel’s 1931 results point to an immediate, evident, intuitive insight.
|
| first_indexed | 2024-04-24T22:50:35Z |
| format | Article |
| id | doaj.art-d2f2eec9eade4371b88cac8c6ad7372c |
| institution | Directory Open Access Journal |
| issn | 0587-2405 2415-0479 |
| language | English |
| last_indexed | 2024-04-24T22:50:35Z |
| publishDate | 2011-12-01 |
| publisher | University of the Free State |
| record_format | Article |
| series | Acta Academica |
| spelling | doaj.art-d2f2eec9eade4371b88cac8c6ad7372c2024-03-18T11:05:50ZengUniversity of the Free StateActa Academica0587-24052415-04792011-12-0143410.38140/aa.v43i4.1328Defining mathematicsDanie Strauss0University of the Free State Any definition of mathematics falls outside its field of investigation. When mathematics is set theory, the history of mathematics prior to the investing of set theory is eliminated. Arguing that the aspects of number and space delimit mathematics makes it possible to avoid both Platonism and constructivism in mathematics. Every philosophy of mathematics should be able to account for the nature and status of the infinite. That set theory is a spatially deepened theory of numbers cannot be accounted for by what Lakoff and Núñez call the Basic Metaphor of Infinity. Gödel’s 1931 results point to an immediate, evident, intuitive insight. http://196.255.246.28/index.php/aa/article/view/1328 |
| spellingShingle | Danie Strauss Defining mathematics Acta Academica |
| title | Defining mathematics |
| title_full | Defining mathematics |
| title_fullStr | Defining mathematics |
| title_full_unstemmed | Defining mathematics |
| title_short | Defining mathematics |
| title_sort | defining mathematics |
| url | http://196.255.246.28/index.php/aa/article/view/1328 |
| work_keys_str_mv | AT daniestrauss definingmathematics |