Neil deGrasse Tyson blows Joe’s mind when he tells him some infinities are bigger than others.
Taken from Joe Rogan Experience #919
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Neil deGrasse Tyson blows Joe’s mind when he tells him some infinities are bigger than others.
Taken from Joe Rogan Experience #919
Video Source
You must be logged in to post a comment.
1:33 "There are more transcendental numbers than there are irrational numbers": This is false, as every transcendental number is by definition irrational.
(edit) Also 2:13 "I think there are five levels of infinity": This is also very false. It can be easily shown by contradiction that given any cardinal (such as 5), the total number of different infinities is strictly greater.
You know man, sometimes you're more and sometimes you're infinities
All things that do not die are infinite Like water, as Neil said, all the water on earth and in our solar system Is older than the sun
But the infinities are entangled and create each other.
What does universe/reality have to do with numbers/identity, it's far from proven that anything can exist in absolute forms, and there is more proof on the opposite, that nothing can exist in absolute forms. Additionally we don't even know that this universe is the original one, again it's much more likely that it's not. So the numbers and our understanding of them is very much removed from the actual reality. That's just the reason why numbers and infinities don't go together; numbers are invented abstract entities, that can't exist in reality at all, while the ever-changing space-time infinity actually does exist (reality is forced to its manifestation).
Additionally what's funny about this topic of infinities is that if we were to represent counting and irrational numbers side by side non-abstractly, attributing their actual size relatively to them (1 to the first irrational, 2 to the second, aso), there would be far more of the counting numbers in volume than the irrational which are supposed to be the bigger infinity. So in this sense counting numbers if represented non-abstractly in the physical world (still only approximately), would be like infinitely larger than those irrational counterparts, so flipping this whole example on its head. Lesson learned: don't use made up math with actual reality which includes infinity. Infinity is not an imaginary number like the rest of them (and can't consist of any numbers at all).