(June 1, 2016 at 4:18 am)pool the great Wrote: 1+1 = 2.
By doing the operation addition with two 1's we must get 2.
This is fact because it is true in all cases.
2 = 1+1
To get the result 2 we must add 1 with 1.
This is neither a fact nor a truth.
To get the result 2 we can add 1 with 1.
This is a truth but not a fact because there are contradictories.
If the "left side" of the equation is the operation and the "right side" of the equation is the result (as it is in your first example), then your description of the 2nd example is inconsistent with the first.
A better description of 2=1+1 (if we use your first example as a model) would be:
1+1 must yield 2 (the truth) , and only 2 (the fact).
2 does not necessarily yield 1+1 (no truth), and may yield other things (no fact)
Quote:An example of a case in which that statement is false:
2 = 1x2
The distinguishing fact I believe is the "must".
You must get 2 if you add 1 with 1.
You can get the result 2 by adding 1 and 1.
(there is no must here)
You can get the result 2 by adding 2 and 0. Etc
This is an overly complicated and confusing nomenclature. Is it true that 2=1x2? Who would say no to that? Is it a fact that 2=1x2? Who would say no to that?
