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General Science / Re: Does All Of Mathematics Come Down To Simple Arithmetic?
« on: Today at 15:40:04 »Is that a matter of proof or definition?That's an example of 1+1=2. It's not proof.
Ug has one sheep, then he gets another sheep.
Og says "instead of saying you have one and another one, why don't we give the new set of sheep a new property, like 'two'? We could even invent names to characterise sets with more sheep, and if everyone used the same words, we could discuss who had the most sheep without performing lots of one-to-one correlations"
How do you know it always works?
Here's a counter-example.
One drink (vodka) + 1 drink (orange juice) = 1 drink (screwdriver).
I don't think Mr Ug would recognise the proof. I certainly don't but...
one and one is two.jpg (57.87 kB . 815x342 - viewed 11 times)