P.S. _If_ "precise" is not any precise for real, then also, "imprecise" is not any imprecise: inversion is a both-way symmetric operation all around the math and logic, isn't it. Therefore, when you said ""precise" is an imprecise term"", - you made a nil statement.
Sorry FT, I couldn't let this one go.
You are implying that because A is not equal to B then B is not equal to B. It's not an inversion, it's a sub-set. Be careful how you extrapolate logical statements.
It is ok, but, i couldn't let THIS one go too - so i am also sorry to make yet one more post without graphs and Arctic 2014 melt info in this topic. I am sorry to everyone here.
But i hope may be it'll provide a minute of relief and may be a smile to few people here, too. BEcause this post is kinda silly in a way... Silly enough to be funny may be. %)
Clarify what you designate as A and B. From what i can guess, you meant that B = "imprecise". Yes, indeed, i said that B is not equal to B - but then and ONLY then if, quote, ""precise" is not any precise for real". This condition does NOT involve any "B" - it does not contain the word "imprecise". Rather, it contains the word "precise", which, i guess, you designate as "A".
I.e., in your terms, i implied this: "because A is not equal to A then B is not equal to B". Note that this differs from your quote above.
And i still stand by it, because we know that "B = !A" (using "!" in this sense:
http://en.wikipedia.org/wiki/Negation#Notation ), because prefix "im" means "not" in this case (according to
http://en.wiktionary.org/wiki/imprecise ).
So, if we replace "B" with "!A", then my original statement changes to this: "because A is not equal to A then !A is not equal to !A",
which obviously is correct.
To remind, the whole gig is about "precise is an imprecise term" phraze. In your terms, this would be something like "A equals B". Again, we also know that "B = !A". Therefore, the phraze turns into "A equals !A", or in normal words, "A is not A". Which is, again, a nil saying, - the only thing which actually fits "A equals !A" is the mighty 0 (number and concept).
But _if_ we for a moment allow it - i.e. if we agree that "precise" is an imprecise term, - then this very act of agreement has few consequences, one of which - is the loss of any meaning of "imprecise" term. Ergo, label "imprecise!" stop to mean anything, thus the original phraze is self-nulifying on more than one level. Which is funny to me. %)
However, i plead guilty in using wrong english term - "inversion". I had to say "negation", because it is what was meant, mathematically. This error has to do with my native language in which the term for negation has other meanings similar to english word "inversion". Please accept my apologies for this - but for this only!
