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Finitism is a philosophy of mathematics that accepts the existence only of finite mathematical objects. It is best understood in comparison to the mainstream philosophy of mathematics where infinite mathematical objects (e.g., infinite sets) are accepted as existing.
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| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Finitism | is a | philosophy of mathematics that accepts the existence only of finite mathematical objects | 0.90 | text |
| infinite sets | instance of | Main ideaThe main idea of finitistic mathematics is not accepting the existence of infinite objects | 0.80 | text |
| Russell's paradox | instance of | When paradoxes | 0.80 | text |
| Berry's paradox | instance of | When paradoxes | 0.80 | text |
| the Burali-Forti paradox were discovered in Cantor's naive set theory | instance of | When paradoxes | 0.80 | text |
| the issue became a heated topic among mathematicians.There were various positions taken by mathematicians | instance of | When paradoxes | 0.80 | text |
| natural numbers | instance of | All agreed about finite mathematical objects | 0.80 | text |
| Tait | instance of | based on his work with Paul Bernays some experts | 0.80 | text |
| primitive recursive arithmetic | instance of | Consequently Mayberry is in sharp dissent from those who would seek to equate finitary mathematics with Peano arithmetic or any of its fragments | 0.80 | text |
| Finitism | related to Main idea | The | 0.60 | section |
| Finitism | related to Main idea | While | 0.60 | section |
| Finitism | related to Main idea | Therefore | 0.60 | section |
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