Albert Y. C. Lai <trebla <at> vex.net> writes:

> Quantifiers are complicated, but I don't see how explicit is more so 
> than implicit. [...] I have just seen recently [...]

Great example. I completely agree. 

My feeling is that mathematicians use this principle of leaving out 
some of the quantifiers and putting some others in the wrong place
as a cultural entry barrier to protect their field from newbies.

Well, not "use", but "willingly tolerate", perhaps.

(I do have a diploma in mathematics, from a German university.)



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