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# Is there any circumstance in any branch of mathematics where 1+1 does not equal 2?

Does positive integer 1 plus positive integer 1 equal positive integer 2 in 100% of cases?

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- Anonymous8 years agoFavorite Answer
That's a good question, and there are actually a few instances when 1+1 does not equal 2. For example, when you work in modular arithmetic, this doesn't always hold. For example, in Z2, 1 + 1 = 0, because the only elements that are in this set are 0 and 1. Similarly, in Z3, 1 + 2 = 0. These are examples from university/college level maths, so unless you go this far you'll never see these.

- 8 years ago
algebric,YES..positive int 1 plus positive int 1 always equals to 2..logically(boolean),no

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