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1+1= not 2?


bored_teen

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this info is from my dad:

my uncle is a math major. he used to explain to my dad how 1+1 does not equal 2. he would go through the steps, but my dad would never see any twist.

 

my uncle lives in california, and i don't feel like calling him in the middle of the night to ask him. so how does 1+1 not equal 2?????

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In terms of painfully pedantic axiomatic maths/logic, the definition of 2 is often 1+1. If you're using your definitions properly you wont come across contradictions like that.

 

Trans, when does it equal 11? Base-1?

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I know. It is arbitrary though, in that '+' can mean addition or OR or whatever you need it to mean at the time. And there's no real reason to use + over §.

 

You create definitions and axioms in the hope that they create good maths, any definition that you use is as made up as the next.

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well there is unless you want to get Really silly 9I don`t think the OP wanted that), take a look here: http://en.wikipedia.org/wiki/Logic_gate

 

note also that "+" can be replaced by "V" if using Formal Logic operators instead.

 

so that squiggle thing you used is incorrect it`s V, and something like "/\" for AND.

 

trust me, I do this stuff in my sleep :)

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Why is the squiggle thing incorrect? It will mean what I want it to mean, sure it's fairly non-standard notation but that's my point, the way you write stuff down doesn't add anything to what you're actually talking about.

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I think it was helpful up until around Post 6.

These helpful points have been made so far:

  1. In base 1, 1+1=11
  2. Definitions are essentially made up, 1+1 doesn't have to =2 if you don't want it to. However the commonly accepted definition is that 1+1=2.
  3. There are plenty of erroneous proofs that come up with seemingly irrational contradictions, a search for "divide by zero" will help you find them. This is probably what the OP was looking for.
  4. In logic, the '+' symbol means something different to what you are used to it meaning.

The rest was just me being terribly pedantic and you encouraging me.

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if read Literally in Logic "1+1= not 2" is perfectly True!

 

let me explain, 1+1= 1V1

 

not 2 = ¬2

 

2 = 10 therefore not 2 (¬10) = 01

 

now read the original, 1V1=¬10

 

boiled down it`s: 1V1=1

 

That`s the bottom line :)

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