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What do you give up when you stick to rational numbers apposed to real numbers when dealing with nature? I could see some things like pi would point to real num
by tocs3 2y ago
What do you give up when you stick to rational numbers apposed to real numbers when dealing with nature? I could see some things like pi would point to real numbers but in nature we will never get "exact" measurements anyway. Are there any physical models that only use rational numbers?
I am not a scientist. I do enjoy hearing about it though.
- sans_souse 2y agoThat's sort of from where I arrived at the propsed question as is; what examples of perfection exist so far as we can ascertain? Infinite in and of itself is a sort of "perfect" in its unobtainability, as is perfect 0° pure Kelvin, and with 0, we only ever can get infinitely closer. Perfection is in pi (I believe) perfect circles. It's what I call the undefinable quantity, or the unaccountable unit. None of this is novel but I think the connections are, between fields.
- mac3n 2y agoyou lose most square roots, for example
- mac3n 2y agoSee N. Gisin's take on this https://www.youtube.com/watch?v=oEWm3yPUosg https://www.youtube.com/watch?v=oEWm3yPUosg
- sans_souse 2y agoI found this very interesting! Thank you