P1 to P5 are definitions of N. You cannot assume N.
They are rules. They are the smallest set of rules that will describe the natural numbers.
I don’t care about 1 + 1, but I’d like to see a proof that it’s actually the smallest set of rules. Maybe another mathematician could actually come up with a smaller set.
You are right. They are generally considered to be the smallest set of rules. If you can find a smaller set of rules, let me know.
1+1=11
Instead of arguing about the theories why don’t you guys just do a simple experiment?
Take one of something.
Add one more.
Count them.
I tried this with Bacardi and cokes last night.
1 Bacardi and coke + 1 Bacardi and coke = 2 Bacardi and cokes
I’m certain of this. I repeated the experiment three or four times. Every time I ordered a drink I ordered another one, and it always resulted in me having 2 drinks. 1+1=2
Interestingly I found myself inadvertantly venturing into Quantum territory later on. You’ve heard that stuff about how the act of measuring something affects the outcome of the experiment? Well it’s true!
1 Bacardi and coke + 1 Bacardi and coke = 2 Bacardi and cokes, but 1 Bacardi and coke + 1 Bacardi and coke + 1 Bacardi and coke + 1 Bacardi and coke + 1 Bacardi and coke + 1 Bacardi and coke = lots of Bacardi and cokes + a headache - lots of money.
All that maths made my head spin too.
[quote=“tmwc”]Instead of arguing about the theories why don’t you guys just do a simple experiment?
Take one of something.
Add one more.
Count them.
I tried this with Bacardi and cokes last night.
1 Bacardi and coke + 1 Bacardi and coke = 2 Bacardi and cokes
I’m certain of this. I repeated the experiment three or four times. Every time I ordered a drink I ordered another one, and it always resulted in me having 2 drinks. 1+1=2
Interestingly I found myself inadvertantly venturing into Quantum territory later on. You’ve heard that stuff about how the act of measuring something affects the outcome of the experiment? Well it’s true!
1 Bacardi and coke + 1 Bacardi and coke = 2 Bacardi and cokes, but 1 Bacardi and coke + 1 Bacardi and coke + 1 Bacardi and coke + 1 Bacardi and coke + 1 Bacardi and coke + 1 Bacardi and coke = lots of Bacardi and cokes + a headache - lots of money.
All that maths made my head spin too.[/quote]
This reminds me of another proof.
10(Bacardi + coke ) = hangover
10(Whisky + coke ) = hangover
10( Vodka + coke) = hangover
Deduction : Coke causes hangover…