# Peano vs Field axioms: Who would win?

**URL:** <https://boards.straightdope.com/t/peano-vs-field-axioms-who-would-win/658054>\
**Category:** Factual Questions\
**Created:** [May 11, 2013, 4:43am UTC](https://boards.straightdope.com/t/peano-vs-field-axioms-who-would-win/658054 "2013-05-11T04:43:59Z")\
**Posts on this page:** 3\
**Page:** 2

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**Author:** ![Quercus](https://avatars.discourse-cdn.com/v4/letter/q/7ab992/32.png) [@Quercus](https://boards.straightdope.com/u/Quercus)\
**Post date:** [May 13, 2013, 12:23pm UTC](https://boards.straightdope.com/t/peano-vs-field-axioms-who-would-win/658054/21 "2013-05-13T12:23:35Z")

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> [@Chronos](#):
>
> Doesn’t 1 + 1 = 0, not 1?

Used OR instead of XOR, evidently.

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**Author:** ![ZenBeam](https://avatars.discourse-cdn.com/v4/letter/z/3ab097/32.png) [@ZenBeam](https://boards.straightdope.com/u/ZenBeam)\
**Post date:** [May 13, 2013, 5:23pm UTC](https://boards.straightdope.com/t/peano-vs-field-axioms-who-would-win/658054/22 "2013-05-13T17:23:19Z")

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Sometimes 1+1 = 0. Sometimes 1+1 = 1. Sometimes 1+1 = 2. Sometimes 1+1 = 10.

It’s all so confusing.

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**Author:** ![j\_sum1](https://avatars.discourse-cdn.com/v4/letter/j/8baadc/32.png) [@j\_sum1](https://boards.straightdope.com/u/j_sum1)\
**Post date:** [May 14, 2013, 4:03am UTC](https://boards.straightdope.com/t/peano-vs-field-axioms-who-would-win/658054/23 "2013-05-14T04:03:17Z")

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> [@](#):
>
> Sometimes 1+1 = 0. Sometimes 1+1 = 1. Sometimes 1+1 = 2. Sometimes 1+1 = 10.

What!? You mean that there are 10 bears coming for me now?

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