3 ms·
> How hard can you continue to advocate ... That's natural numbers, not reals! I didn't mean to advocate at all... Just explained that I never peronally felt t
by 331c8c71 3y ago
> How hard can you continue to advocate ... That's natural numbers, not reals!
I didn't mean to advocate at all... Just explained that I never peronally felt the weirdness of it.
The point about integers is taken but Python style also gives you len(range(n, n+k)) == k and len(range(n, k)) == n - k which is very convenient at times.
> To the contrary: the support of base elements of major functional spaces used in measure theory textbooks are always compact.
You can take either type of intervals to define Borel sigma algebras.
Half-open intervals, however, additionaly form a semiring while finite unions of half-open intervals additionaly form a ring - the starting point of Caratheodory's extension theorem [1] which is kind of essential at least in some expositions.
[1]: https://en.m.wikipedia.org/wiki/Carath%C3%A9odory%27s_extension_theorem https://en.m.wikipedia.org/wiki/Carath%C3%A9odory%27s_extens...