If the simplest assumption is that the world is just quantum mechanical
It isn’t a simpler assumption? Mathematically “one thing is real” is not simpler than “everything is real”. And I wouldn’t call “philosophically, but not mathematically coherent” objection “technical”? Like, are you saying the mathematical model of true stochasticity (with some “one thing is real” formalization) is somehow incomplete or imprecise or wrong, because mathematics is deterministic? Because it’s not like the laws of truly stochastic world are themselves stochastic.
Like, are you saying the mathematical model of true stochasticity (with some “one thing is real” formalization) is somehow incomplete or imprecise or wrong, because mathematics is deterministic?
I don’t know, any model you like? Space of outcomes with “one outcome is real” axiom. The point is that I can understand the argument for why the true stochasticity may be coherent, but I don’t get why it would be better.
The point is that I can understand the argument for why the true stochasticity may be coherent, but I don’t get why it would be better.
I find your post hard to respond to because it asks me to give my opinion on “the” mathematical model of true stochasticity, yet I argued that classical math is deterministic and the usual way you’d model true stochasticity in it is as many-worlds, which I don’t think is what you mean (?).
“The” was just me being bad in English. What I mean is:
There is probably a way to mathematically model true stochasticity. Properly, not as many-worlds.
Math being deterministic shouldn’t be a problem, because the laws of truly stochastic world are not stochastic themselves.
I don’t expect any such model to be simpler than many-worlds model. And that’s why you shouldn’t believe in true stochasticity.
If 1 is wrong and it’s not possible to mathematically model true stochasticity, then it’s even worse and I would question your assertion of true stochasticity being coherent.
If you say that mathematical models turn out complex because deterministic math is unnatural language for true stochasticity, then how do you compare them without math? The program that outputs an array is also simpler than the one that outputs one sample from that array.
How would you formulate this axiom?
Ugh, I’m bad at math. Let’s say given the space of outcomes O and reality predicate R, the axiom would be ∃x∈O:R(x).
It isn’t a simpler assumption? Mathematically “one thing is real” is not simpler than “everything is real”. And I wouldn’t call “philosophically, but not mathematically coherent” objection “technical”? Like, are you saying the mathematical model of true stochasticity (with some “one thing is real” formalization) is somehow incomplete or imprecise or wrong, because mathematics is deterministic? Because it’s not like the laws of truly stochastic world are themselves stochastic.
Which model are you talking about here?
I don’t know, any model you like? Space of outcomes with “one outcome is real” axiom. The point is that I can understand the argument for why the true stochasticity may be coherent, but I don’t get why it would be better.
How would you formulate this axiom?
I find your post hard to respond to because it asks me to give my opinion on “the” mathematical model of true stochasticity, yet I argued that classical math is deterministic and the usual way you’d model true stochasticity in it is as many-worlds, which I don’t think is what you mean (?).
“The” was just me being bad in English. What I mean is:
There is probably a way to mathematically model true stochasticity. Properly, not as many-worlds.
Math being deterministic shouldn’t be a problem, because the laws of truly stochastic world are not stochastic themselves.
I don’t expect any such model to be simpler than many-worlds model. And that’s why you shouldn’t believe in true stochasticity.
If 1 is wrong and it’s not possible to mathematically model true stochasticity, then it’s even worse and I would question your assertion of true stochasticity being coherent.
If you say that mathematical models turn out complex because deterministic math is unnatural language for true stochasticity, then how do you compare them without math? The program that outputs an array is also simpler than the one that outputs one sample from that array.
Ugh, I’m bad at math. Let’s say given the space of outcomes O and reality predicate R, the axiom would be ∃x∈O:R(x).