In both math and writing, the core idea that you are trying to express exists somewhere in the aether. In both math and writing, you start out staring at the blank page, trying to figure out how to summon the idea, make it yours, and commit it to the page. In both math and writing, you make false starts (unless you are very lucky) and work hard (unless you are very lucky) to express the idea with precision and clarity. In both math and writing, your familiarity with the idea that you are trying to express and your prior practice at expressing ideas can sometimes give you a head start in knowing in which direction to start.I love this.
Math is writing. Most of math is persuasive writing; math is an exquisitely structured argument.
(I am a professional mathematician.)
This passage captures what writing is for me.
This one does, too:
Writing is easy. All you do is stare at a blank sheet of paper until drops of blood form on your forehead.
— Gene Fowler