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Mathematical structuralism was developed to explain the ontology of mathematical objects, and is often contrasted with Platonism, which is the position that num
by mgn115 2y ago
Mathematical structuralism was developed to explain the ontology of mathematical objects, and is often contrasted with Platonism, which is the position that numbers are real things like you or I.
- denton-scratch 2y agoI'm not real. I'm not sure about you.
- 082349872349872 2y agoFound the co-solipsist.
- jjgreen 2y agoThe working mathematician is a Platonist on weekdays, a formalist on weekends. Reuben Hersh
- zhouyisu 2y agoA funny insight about Platonism (if it's not funny, treat this as a bad joke) I think aka "∅" therefore I know I thought aka "{∅}" therefore I know I knew I have thought aka "{{∅}}" and ... boom! The entire Math system is imported. (BTW, limitations known as "computation theory" is also introduced) So maybe we are actually mathematical being on a manifold named as "real world". To me it is more concise and profound than "philosophy". As we are real, so do all mathematical objects.
- raincom 2y agoThe problem is: do numbers exist? One group says, they don't. Another say, they do exist in the Platonic world, but this Platonic world is accessible from the world we inhabit in. Next time, look at the folks who looks for Platonic love:)