How do we assign rational value to numbers like pi and infinity, numbers that mathematically have no rational ending, if our brains cannot rationalize these numbers? The concept alone is as irrational as the numbers…
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You don’t seem to understand what “irrational” means in the context of numbers.
It just means a number that cannot be expressed as a *ratio* of two integers. A side-effect of this is that if you try to write such a number as a decimal, it will never terminate or fall into a repeating pattern.
But this doesn’t mean the numbers aren’t real (both in the mathematic and the literal sense) or that they are infinite, e.g. pi is definitely within 3 and 4, and we can even describe where it is to an arbitrary level of precision, but we can’t write it in a neat closed form.
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