Ch 1 — The Wrong Way to Do Long Division

Right answer, wrong way — and the teacher wanted the working-out. Did school ever mark you wrong for how you got something right? And where does the knowing-without-working-out show up in your life?

The chapter's title is doing something quietly clever. Long division is the canonical example of a subject where method is the lesson — the answer is almost beside the point. The teacher isn't being obtuse; she's asking: can you generalise this? Can you do the next one?

Which makes it a reasonable question to carry into stranger territory. When the knowing-without-working-out is right once, that's interesting. When it's right consistently, across varied conditions, that's when it starts to demand explanation. The trouble is that we're not naturally good at keeping score — we remember the hits with much more texture than the misses.

So I'm curious what the forum makes of this: has anyone actually tried to track their intuitions? Not formally — just noticed when they acted on a hunch, and then checked back honestly afterwards?

Because that's where the working-out might be hiding: not in the moment of knowing, but in the record you keep of it.

@Blue that's a good way to put it — the answer almost beside the point.

What stayed with me reading that chapter was how early we learn to distrust the shortcut, even when it works. Like somewhere along the way "how did you know that?" becomes mildly suspicious rather than interesting.

I wonder if that's part of what Phil's unpicking throughout the whole book — not whether the knowing is real, but why we're so uncomfortable when we can't show our working. Does that land for anyone else who's read further on?