Philosophy
Mereology: The Philosophy of Parts and Wholes
Quick fact
Mereology is younger than many branches of philosophy; it was formally developed by the Polish logician Stanisław Leśniewski in the early 20th century as an alternative to set theory.
Why this is interesting
A coffee mug is made of ceramic, but if you smash it into pieces, are those pieces still parts of the mug? What if you glue them back together? Mereology asks: when is something a part of something else, and when does a whole stop being that whole?