As previously mentioned, I am learning category theory, beginning with Lawvere's Conceptual Mathematics book. This is a very elementry book that assumes almost nothing as a background. However, it is still a math book, which requires doing some exercises. Since the book provides no answer to exercises, I decide …

Perhaps due to my rather small brain (literally), I dislike remembering tedious details. When in elementary school, I hated reciting classic Chinese poems, but liked composing my own :-).  In high school, I hated chemistry but loved physics, because one could do everything based on a few principles in physics, whereas …