Let 10^200 be the biggest natural number. We know that n is natural if and only if n+1 is also natural. 10^200+1 is not natural, therefore 10^200 is not a natural number. So 10^200-1 isn't natural either, and inductively every smaller number is not natural, therefore there are no natural numbers.
Let 10^200 be the biggest natural number. We know that n is natural if and only if n+1 is also natural...
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>We know that n is natural if and only if n+1 is also natural
Prove it idiot
>Op is a faggot.
A natural number is any number that can be divided by 0
can 10^200+1 be divided by 0?
>We know that n is natural if and only if n+1 is also natural.
0 is not natural. 0+1 is natural. Checkmate
>Let 10^200 be the biggest natural number
is he our guy?
>Let 10^200 be the biggest natural number
nice fucking premises OP
i have a better one
>Let us assumme that the moon is made of cheese.
>Furthermore, let us assume that, on any planet whose moon is made of cheese, anime makes you a pedophile.
>QED all animewatchers are pedophiles
logically proven!!??!?
OP btfo
Wildberger has rigorously proved that 10^200 is the biggest natural number, that's not unsupported claim
1+10^200 is a natural number, and it's bigger.
>all animewatchers are pedophiles
This one is true, though
>1+10^200 is a natural number
That's where you're wrong, kiddo
>if and only if
>let n = -1
>0 is not natural
what fucking construction are you using that starts at 1
0 normally isn't natural. That's why we also use Z+ for the non-negative integers, instead of just saying N
But the induction goes as if n is not natural, n-1 is not natural, not the other way around
It can be or be not natural, depends only on convention.
But it's pain in the ass when in half of your classes 0 is natural and in other half it isn't and you can get your grade cut down just because you which convention do they use
If 10^200 is the largest natural number then how many rational numbers are there?
10^200
the same line of proof can be used to show that there is no upper bound on natural numbers
ok, post the video
>Let 10^200 be the biggest natural number
>therefore 10^200 is not a natural number
what did he mean by this
>proof by induction
>meaning anything
Pick 1.0 (one) option
>wildfags actually believe this
That statement is derived from the definition of the natural set.
Not true, even in nonwildbergerian maths, it would mean that all negative integers are also natural, that iff holds only for n>0
>Wildberger
>rigorously proved
Pick one
reddit.com
>let n=10^300 be my penis
>n can be natural penis
>n is no penis
i have proven the riemann hypothesis.