loquor

My Pocket Oxford Dictionary --which requires a rather large pocket-- defines "intuition: immediate apprehension by the mind without reasoning". If we don't believe in miracles, we seem to have only two possibilities: either the reasoning required is so short and standard that it is hardly worth being recorded or mentioned, or the "immediate apprehension" does not amount to much. In the first case "intuitively clear" means "obvious", in the second case it probably means no more than the absence of obvious counterexamples. In both cases, mathematical texts "recommended" for their appeal to the reader's intuition should be ignored, for such texts promote non-reasoning instead of better reasoning.

Despite the above, there are still people that believe that intuition is a good thing; there is no point in arguing with them for they prefer to believe in miracles.

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I logged into HN after a year to respond to this prompt. I've dealt with this too, and some things did help quite a lot.

1. Orwell wrote this about choosing words, which I found in a similarly excellent LessWrong article[1]: "What is above all needed is to let the meaning choose the word, and not the other way around. In prose, the worst thing one can do with words is surrender to them. When you think of a concrete object, you think wordlessly, and then, if you want to describe the thing you have been visualising you probably hunt about until you find the exact words that seem to fit it. When you think of something abstract you are more inclined to use words from the start, and unless you make a conscious effort to prevent it, the existing dialect will come rushing in and do the job for you, at the expense of blurring or even changing your meaning. Probably it is better to put off using words as long as possible and get one’s meaning as clear as one can through pictures and sensations."

2. It also gave me great relief to find that Edsger Dijkstra, one of the greats of Computer Science, wrote slowly in order to write elegantly and correctly: Whether written using a fountain pen or typewriter, Dijkstra’s technical reports were composed at a speed of around three words per minute(!!). “The rest of the time,” he remarked, “is taken up by thinking.”

3. Try ditching full sentences. Write phrases. Make some words in the sentences BIG FOR EMPHASIS. Do whatever styling or structuring that corresponds to the feeling in your mind. Your notes are for you, they only need to make sense for you.

4. Even if what's on the paper doesn't reflect the original idea, write it down regardless. Even if it doesn't do your original thought justice, the written version will persist into the future while the thought in your head will fade, losing much or all of its clarity. That written version will continue to be useful. The more you practice this habit of writing, the better you will get at representing your own thoughts. In time, you will be able to consistently write notes that are passably good. Keep at it. This is the most important thing.

5. The last and yes the least, I'd suggest experimenting with tools. Google Keep is garbage as a platform for creating and organizing your notes. I switched to Notion earlier this year, and it was a paradigm shift. Through Notion, I found this nice site called Excalidraw where you can draw things online. When it comes to writing on phone, I found that I only like to see my current sentence when I'm writing. So I made a solo group on Whatsapp, and write my notes there. It really makes a difference.