The nature of mathematics, specifically arithmetic has a contradictory element to it.
The statement of 1+1=2 observes:
1) 1+1=2
2) However 2=(2)+1 where two exists fundamentally as the repetition of +1 as +1 in itself.
3) 1+1=+1 in the respect that this is one statement in itself as one answer in itself where 2 effectively is 1 number.
4) The contradiction lies in the language itself as having an "implied" framework where 1+1=2 but "2" effectively is always 1 answer.
5) This implication necessitates a form of group agreement where language itself, in this case, is subject to the bandwagon fallacy.
6) Hence equivocation requires a form of localization between multiple options, hence contains a dual antithetical statement within it.
"Again 1+1=2 And its negation 1+1=1. It be said that 1+1=2 be a certain truth 1 number + 1 number = 1 number 1 number (2) +1 number (2) =1 number (4) So 1 +1=2 And 1 + 1 = 1 Thus a contradiction in mathematics Here we have two contradictions in mathematics A contradiction in reality A glass half full And its negation A glass half empty."
http://gamahucherpress.yellowgum.com/wp ... ssible.pdf