Let's start a largest number in 100 chars thread, but with a little twist.
You are only given a set of natural numbers, as defined by Peano's axioms. One function is a given, s(n) which is a successor function. Every new function used in a post has to be defined, or use a definition from one of the posts above it.
Of course, it will be most natural to first define addition, multiplication and exponentiation, but I'll leave the rest of the things for you.
Starting with a really small number:
9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
March 2, 2018 - 06:24
actually 9^9^9^9... is larger, my bad
March 2, 2018 - 13:56
999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999998
March 2, 2018 - 13:58
>9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 You did not define that in terms of the successor function. And you have only 100 characters to do so.
March 2, 2018 - 14:14
let p be 9 followed by 99999999999999999999999999999999999999999999999999999999999999999999999999 9s
March 2, 2018 - 19:04
s(9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999)
March 2, 2018 - 19:05
greatest number in this thread + 1
March 2, 2018 - 19:48
surely the largest is s( 9^(9^(9^(9^(9^(....... ect ect?
You just have a trail of 9's going upwards as a power trail
March 2, 2018 - 21:03
Check out Ackermann function, you'll be surprised
March 2, 2018 - 21:21
∞
Your number is also false. Let me show you:
9^9^9 = 729 99^9 = is in the quadrillions. 5 characters versus 4. 9^99 is in the 10^94 Someone has to help you with representations.
March 2, 2018 - 21:59
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March 3, 2018 - 07:45
That's 2001 chars, not 100.
Try this - 9(9↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑9 arrows)9
If we're allowing arbitrary notation though (like arrows), I declare to be the largest number in this thread + 1.
March 3, 2018 - 08:14
>Tfw ur unicode gets removed fuck right off hiroshimoot. I declare [math]L[/math] to be the largest number in this thread + 1.
March 3, 2018 - 08:17
Congratulations. You just broke the thread.
March 3, 2018 - 08:30
9999^9999^9999^9999 (repeat 9999 times) Now thats almost ∞
March 3, 2018 - 20:10
large numbers are fucking absurd man
March 3, 2018 - 20:17
[math] f(x)=x^x [/math] [math] g(x)=f(f(x)) [/math] [math] h(x)=g(g(x)) [/math] [math] h(h(h(99999999999))) [/math]
March 3, 2018 - 23:44
thats not arbitrary tho its tetration
March 3, 2018 - 23:57
TREE(3) of Kruskal's tree theorem. Beat that faggots.
March 4, 2018 - 11:50
[code]A=lambda m,n:A(m-1,A(m,n-1)) if m*n else A(m-1,1) if m else n+1;A(A(A(9,9),A(9,9)),A(A(9,9),A(9,9)))[/code]
Beat that faggots
March 4, 2018 - 13:43
Even larger:
A=lambda m,n:A(m-1,A(m,n-1))if m*n else A(m-1,1)if m else n+1;A(A(A(9,9),A(9,9)),A(A(9,9),A(9,999)))
March 4, 2018 - 13:48
>arbitrary notation >the largest number in this thread >references physical world >value keeps changing
Brainlets need to stop spewing this shit. It's not a valid mathematical definition.
March 4, 2018 - 13:51
You didn't define your number in terms of the successor function
March 4, 2018 - 14:00