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Problem proposals are a key part of the scientific method though: through them we present falsifiable hypotheses in order to try to verify them. Lots of work goes into the precise definition of a hypothesis, which is perhaps where a little more detail is needed in Gary's problems
my 2001 chapter on universally quantified one to one mappings is pretty detailed.
in 18 years I have never seen anyone rebut it.
you and @LittleBimble have work that is quite consistent with it.
