/sci/ - Science & Math

>>12715127
>What are the physics/biology metrics that measure/quantify free will?
There are obviously no experiments for existence of free will as a metaphysical issue. You can use experiments to help your argument in favor of it (as has been done using quantum mechanics) but no one experiment will demonstrate to the skeptic that it definitely exists, as every set of data can be interpreted as coming from a NPC behavior, perhaps just too complex to have been predicted, but still NPC behavior.
As for the more practical sense of free will, there's more you can do.
There are certain experiments you can do to quantify the lack of free will, by trying to predict what a person is going to do before they do it.
You can also quantify the presence of free will by making the participant exercises his execute functions, for example seeing how well they follow up with their concrete goals etc.
>>12715821
>2021
>he still thinks some symbols representing faulty system of communication is a good way to determine what symbols representing systems of communication are a good way to determine what exists or is true.

>>12666284
There are plenty of good ways to define rational numbers that do not rely on infinite sets. Using infinite sets to define them only brings confusion obscures things.
One way is to simply define a rational number as a pair of integers a/b, b nonzero and define equality symbol in the context of rational numbers as a/b=c/d iff ad=bc.
Since this relation is perfectly doable both in principle and in practice, this is a perfectly good definition.
If you're uncomfortable with having different looking things "represent" the same thing, if you want all equal things to look the same, you can for example define a rational number as a pair of integers a/b such that a,b are coprime and b is positive. Since the condition of being coprime is easy to check using the Euclidean algorithm this is a perfectly fine finite definition.
For other definitions, just take a look at any computer language which implements rational numbers (of bounded complexity, but it's not hard to vary the bound). I promise you will not see "infinite sets" anywhere in the definition.
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