Infinity is an interesting idea. It generally creates a sense of vastness, an unfathomable distance. Some thing far far away. Whether we are looking at it from a numerical perspective or intuitively, it seems daunting to think about it. A sense of overwhelming takes over us. The physical and material world is limited and finite. However large and vast it may be, it is still finite. It is bound by the physical faculties of observation.
The mind however is not material. Hence it is not bound by the physical constraints and hence is infinite. When we say that, it might appear as though the mind is vast and huge and might appear counter intuitive to accept that. The reason is, infinity is not something "out there". Its a mere idea. It is a concept. For example we can simplify the idea as "Whatever there is, there is one more". We can experiment with lots of interesting things.
For example, the mind's needs are infinite. Its true for everyone. no matter how little or how much more one has, the mind seems to need "one more". Similarly the mind can keep on learning. Irrespective of how little or how much more one knows, one can always know or learn about "one more" thing.
Infinity is possible only in the subtle realm. The material realm is finite and bound. The body is limited but the mind is unlimited. Music, Arts, Literature, Philosophy, Religion, ideas and thoughts belong to this infinite subtle realm. They allow us to travel boundlessly and experience freedom.
Once we realize that infinity is in itself is a mere idea, that there can always be one more thing, the mind's infinite needs can be let go. No matter how much it travels, and how much it experiences, it will seek for that "one more" thing :). This travel of the mind is cyclic like a circle, and a circle though apparently endless and provides infinite travel is indeed finite. Realizing this liberates one from the bindings of the mind's endless needs.