In search of $$\aleph _{0}$$ ℵ 0 : how infinity can be created
| Autor: | Markus Pantsar |
|---|---|
| Rok vydání: | 2015 |
| Předmět: |
Metaphor
Computer science media_common.quotation_subject 05 social sciences 050301 education General Social Sciences 06 humanities and the arts Aleph number 0603 philosophy ethics and religion 16. Peace & justice Infinity Object (philosophy) Epistemology Mathematical practice Philosophy of language Philosophy Philosophy of mathematics 060302 philosophy 0503 education media_common Simple (philosophy) |
| Zdroj: | Synthese. 192:2489-2511 |
| ISSN: | 1573-0964 0039-7857 |
| DOI: | 10.1007/s11229-015-0775-4 |
| Popis: | In this paper I develop a philosophical account of actual mathematical infinity that does not demand ontologically or epistemologically problematic assumptions. The account is based on a simple metaphor in which we think of indefinitely continuing processes as defining objects. It is shown that such a metaphor is valid in terms of mathematical practice, as well as in line with empirical data on arithmetical cognition. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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