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If you use base three then 1 + 1 = 3, as the current counting system we use is base ten
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Not true. 1 + 1 does not equal 1 in base 3, it equals 2.
010 = 03
110 = 13
210 = 23
310 = 103
410 = 113
You can get 1 + 1 = 3 if you redefine the operator "plus".
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