Consulting our primary textbook the dictionary, we conclude something like this.

Infinity is not a number since it has no value. It is a relation/condition about numbers stating there is no limit to a magnitude, there is no final value. It is something NOT measurable.

The common example of the set of integers has a beginning but is 'open ended/without limit/unbounded'.

Another instance of the meaningless term is found in the definition of a limit (by mathematicians no less!).

The limit of (some sequence for x), as x approaches infinity = u.

The question is, how do you approach 'infinity'? At night, on your tip toes, or while it's sleeping...?

It's a contradiction in terms. You can't approach 'infinity' anymore than you can approach the horizon, or the carrot on the stick, i.e. it's always 'just ahead'.

I prefer "as x increases without limit".

Interesting, all the areas influenced by this word "infinity".

"Nothing" and "existing" are mutually exclusive terms.

Dictionary [nothing]: a state of nonexistence, or the absence of any perceptible qualities

That would exclude the quality of extent.

The universe can be defined as "everything known to exist, visible and invisible", which would include the laws that regulate it.

The idea that earth gravity tends to zero as distance increases (without limit) is true only if earth is the universe (the ideal isolated experiment). In the real world the significant gravitational effects are local. and decrease rapidly with distance. As probes leave the solar system, the dominate mass is the sun, and the earth can be ignored. In any remote location, far from any significant masses, the total gravitational effect from all mass in the universe is zero.

The expression u=1/x is a precise statement, but when x=0, it does not result in a precise answer. In fact it's defined as indeterminate, i.e. there is no answer. It should be declared illegal as it is in computer programming. Division by zero is another of those nonsensical terms that should be eliminated. You can put an unlimited (not infinite) number of zeroes into a container, but nothing will ever materialize within it. You can't make something from nothing! In the case of the gamma term from Relativity, v will never equal c for a mass, thus that condition will not occur.

The universe can consist of a finite mass, but be closed, in the manner of the spherical earth surface. You can travel indefinitely in it, but eventually will revisit some areas.

Universe (Latin) and cosmos (Greek) are interchangeable, both meaning an integrated entity consisting of everything known.

Cantor was a great illusionist.

The silent disclaimer: All things mathematical do not correspond to physical reality.