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"One's philosophical / metaphysical worldview determines how one views reality." I fully agree but I fail to see how it is true in the case of ontology of mathe
by Errancer 5y ago
"One's philosophical / metaphysical worldview determines how one views reality." I fully agree but I fail to see how it is true in the case of ontology of mathematics. All ontological frameworks will have to explain the existence of the same entities so what is left is the difference of vocabulary and maybe cultural practices embedded in each view, but the reality will be the same. You won't meaningfully deny the existence of triangle only because you changed your ontology.
- davidivadavid 5y agoNo, but it might change your perspective on things and lead you to explore a different set of ideas (something that may end up being quite important when doing scientific research?).
- throw0101a 5y agoLots of folks are asking questions in that vein: * https://aeon.co/essays/does-philosophy-still-need-mathematics-and-vice-versa https://aeon.co/essays/does-philosophy-still-need-mathematic... Do imaginary numbers exist? They used to be seen as "as fictitious or useless" until Euler came along: * https://en.wikipedia.org/wiki/Imaginary_number https://en.wikipedia.org/wiki/Imaginary_number What about octonions in the present day? * https://news.ycombinator.com/item?id=17575585 https://news.ycombinator.com/item?id=17575585 * https://en.wikipedia.org/wiki/Octonion https://en.wikipedia.org/wiki/Octonion It's kind of hard to tell what idea will lead where.