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Logic, its over rated! =P

I picture the poor guy scribbling on a piece of slate with chalk (what they used for school work and almost all other writing of non essential works of the day) ...

Because the guy sharpening the razor was too poor to buy paper, of course. Log books might have been in a shop, but the poor unskilled laborers (and what we consider a skill today was possibly...

Just tossing this out there....

many a job was paid for "piece work" Perhaps the "honemeisters" of yore, were just sitting there being paid by the razor.
This could be nothing more than...