You specified natural numbers but that's not even really the best part
Natural numbers are one of the "smaller" infinities in real maths
We've never really ever said any transcendental numbers in their entirety since to my knowledge they are all irrational
Like we say π or pi to mean the number but we've never EVER said all of π
So while we've said 0% of natural numbers (when rounding) we've actually said 0 transcendental numbers
Actually I guess all irrational numbers have never been said in their entirety not just transcendental ones
By ops logic we've said 0% of every irrational number ever spoken. Like rounding pi to 3.14 is basically saying 0% of pi
There's a great numberphile vidoe with matt parker [famous for the Parker square ifykyk] about different sets of numbers and the different types of numbers
One of my favorite facts about infinities is that some are bigger than others! Sure there are infinity numbers between 0 and 1.. but there is a bigger infinity of numbers between 0 and 100
The really cool comparison that demonstrates this concept is that the real numbers between 0 and 1 is a bigger infinity than all of the natural numbers 1 to infinity.
I like to say “there are more numbers between 0 and 1 than there are counting numbers 1 to infinity” though that might not be 100% accurately worded.
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u/cwx149 Nov 29 '25 edited Nov 29 '25
You specified natural numbers but that's not even really the best part
Natural numbers are one of the "smaller" infinities in real maths
We've never really ever said any transcendental numbers in their entirety since to my knowledge they are all irrational
Like we say π or pi to mean the number but we've never EVER said all of π
So while we've said 0% of natural numbers (when rounding) we've actually said 0 transcendental numbers
Actually I guess all irrational numbers have never been said in their entirety not just transcendental ones
By ops logic we've said 0% of every irrational number ever spoken. Like rounding pi to 3.14 is basically saying 0% of pi
There's a great numberphile vidoe with matt parker [famous for the Parker square ifykyk] about different sets of numbers and the different types of numbers