I'm a web programmer passionate about coding, spirituality, psychology and some theoretical sciences. The best part with so many interests is I never get bored.
According to wikipedia "Infinity is that which is boundless, endless, or larger than any natural number". If this definition works good enough for you then you can move on with your life.
For me the definition above is incomplete or inexact.
In my opinion a more accurate definition would contain two symbols and would depend on the condition for time to always increase, slower or faster. In this Universe it seems time always goes forward because entropy always increases. Entropy is a property of the Universe suggesting everything decays. I think we can trust entropy and time moving only forward because we never see people getting younger for example.
Now allow me to try a real definition of infinity: ℵω. You may wonder what that is. Well, there are two symbols with a multiplication relation between them.
ℵ - a constant, a number that never changes;
ω - a variable, a number that always increases.
So infinity in my opinion is the multiplication of a constant with a variable that always increases.
For example now infinity can be 13 * 20 (260).
But moments later infinity can be 13 * 30 (390).
Such a formula would satisfy the idea of a boundless and endless number.