Mathematics has become the purest form of exploration for me. It's the most expressive language I know. It's the most free form of living I know. It is the most powerful tool I have.
People who use this language to express themselves are explorers in its truest form. Not explorers of the world. Not explorers of anything inherently tied to something external. Pure, imaginative exploration of our inner thoughts and curiosities, independent of whether they have external manifestations. It's deeply personal.
In a way, mathematics made me realize what I love and what "home" is. I do not need to do more than be willing to explore my own questions, with or without others.
I would encourage anyone to pay attention to your questions and natural curiosities. Whatever thoughts or questions that might show up, do not brush them away as "just thoughts"; explore them! Over and over again! In multiple ways! Twist and turn your thoughts, acknowledge every single one of them with the utmost openness! Give them the care they deserve!
I realize my purpose is built of this kind of exploration, and this "stupid"-seeming openness, which in many ways is the core of mathematical thinking–a willingness to explore questions no matter if they seem stupid, abstract, with no applications or with numerous applications, no matter what!
I think this is why I love mathematics so much. It is so immensely wonderful, so uncontrollably expressive, and I cannot, nor should, express my love for it here, in words.