anyone who's competent at machining can certainly see .015".
Absolutely. A 0.015" pass with an end mill is fairly big, and in wood, it will make a very obvious slot. I was machining walnut with an end mill the other day, and I found that 0.003" was about as much as I could risk, when sneaking up on a measurement incrementally.
On a metal lathe, an accidental 0.015" cut in an otherwise uniform cylinder would be a glaring error visible from six feet away, and it would justify junking or resurfacing the work. I don't turn wood, but I'm sure an error that big would ruin a pen or bowl. Sanding it out would deform the entire piece.
I was able to see a 0.003" gap when I was joining pieces of walnut, and my eyesight is no longer sharp. A playing card is about 0.004" thick, and if you put one on a flat table and run your finger into the edge, it's extremely obvious.
When I'm checking squareness, a gap of much less than 1/64" will jump out at me and will be big enough to send me back to the saw.
The post-machining movement and dimension changes in wood are frustrating sometimes. It seems like you have to glue it up before it moves. I assume this only matters to people like me, who make silly mistakes that have to be covered with very precisely cut pieces of wood! I doubt a person making a big dining table would care about 0.015", unless it was on a prominent surface.
When I was a physics TA, I had to teach people how to use measuring instruments, and we were told we should always shoot for the nearest half-increment and estimate. I think that would be possible on a 1/64" scale with decent eyesight or old eyes aided by readers.
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