Although the concept of infinity has a mathematical basis, we have yet to perform an experiment that yields an infinite result. Even in maths, the idea that something could have no limit is paradoxical. For example, there is no largest counting number nor is there a biggest odd or even number.

Can an actual infinity exist?

Actual infinity is completed and definite, and consists of infinitely many elements. ... "For generally the infinite has this mode of existence: one thing is always being taken after another, and each thing that is taken is always finite, but always different."

Is infinity a theory?

Cantor's views prevailed and modern mathematics accepts actual infinity as part of a consistent and coherent theory. Certain extended number systems, such as the hyperreal numbers, incorporate the ordinary (finite) numbers and infinite numbers of different sizes.