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That wasn't the question-- the question is whether that's the limit of Madore's psi Then BHO is the supremum of Madore's psi, and what the heck is ψ(Ω_ω) No Then I don't understand. The BHO = ψ(ψ_1(0)) Now everything has become clear for me Or is it? Madore's psi C(a) set includes ordinals in the f...

Moosey wrote: ↑

November 16th, 2019, 9:25 am

That wasn't the question-- the question is whether that's the limit of Madore's psi

Then BHO is the supremum of Madore's psi, and what the heck is ψ(Ω_ω)

Moosey wrote: ↑

November 16th, 2019, 9:25 am

gameoflifemaniac wrote: ↑

November 16th, 2019, 9:19 am

But it says that ψ1(0) = ε_Ω+1 (which is uncountable), not ψ(ε_Ω+1). Is that a mistake?

No

Then I don't understand.

I searched one more source http://quibb.blogspot.com/2012/03/infin ... tions.html
and it also says the BHO is ψ(Ω^Ω^Ω^Ω^...) = ψ(ε_Ω+1).
But it says that ψ1(0) = ε_Ω+1 (which is uncountable), not ψ(ε_Ω+1). Is that a mistake?

I'll post the guide once more for everybody who knows nothing about googology. ωεζηφαψΓ 0,1,2,3,4,5,6... ω ω, ω+1, ω+2, ω+3, ω+4,... ω+ω = ω2 ω, ω2, ω3, ω4, ω5,... ω*ω = ω^2 ω^2, ω^3, ω^4, ω^5,... ω^ω ω, ω^ω, ω^ω^ω, ω^ω^ω^ω,... ω^ω^ω^ω^ω^ω^ω^... = ε_0 0th fixed point of α = ω^α ε_0+1, ω^(ε_0+1), ω^ω...

There are 2 types of people in the world. Whose who always end a sentence and those

Oh, whoops. The Bachmann-Howard ordinal is not in madore's psi but in weirmann's theta. Sorry. Yeah, psi(w_w) > psi(e_(W+1)) The Wikipedia artivle about OCF's says that the Bachmann-Howard ordinal is the supremum of psi(W), psi(W^W), psi(W^W^W), psi(W^W^W^W)... and we can't go any further with the ...

I literally wrote that since the limit of Madore's psi is the Bachmann-Howard ordinal, psi(w_w) is no larger than the Bachmann-Howard ordinal. With Madore's psi, a>b does not mean that psi(a) > psi(b). It just means psi(a) >= psi(b). So in other words, psi(w_w) = the Bachmann-Howard ordinal. So why...

I meant f_w_1CK(n) in the fast-growing hierarchy. Yes, I said it would make sense if you have a fundamental sequence for w_1ck and then explained a possibility What is ψ(Ω_ω)? I asked this before Depends on which of a gazillon ordinal collapsing functions you're using-- if it's madore's psi, it's t...

Can the Bachmann-Howard ordinal be explained in terms of a simpler notation? What is ψ(Ω_ω)? I asked this before

I had 2 more questions in the previous post. Does the function f_w_1CK(n) make any sense? Yes, theoretically. But only if you have a fundamental sequence for w_1CK--which is still possible. E.g. w_1ck[n] = min a > all ordinals definable in n symbols in some language like set theory, or something e....

Creeper Aw man So we back in the mine Got our pickaxe swinging from side to side Side-side to side This task, a grueling one Hope to find some diamonds tonight, night, night Diamonds tonight Heads up You hear a sound, turn around and look up Total shock fills your body Oh, no, it's you again I can n...

How do you construct the coulomb out of simpler units?

I had 2 more questions in the previous post.
Does the function f_w_1CK(n) make any sense?

But it's not very natural.

Have been here for a while, but didn't introduce myself. My name is Franek. I'm 13 years old and I live in Poland. I was interested in mathematics and science since I can remember. Conway's Game of Life has been my hobby for 3 years. Now I'm actually less into science and more into memes and video g...

Can the Bachmann-Howard ordinal be explained in terms of a simpler notation? What is ψ(Ω_ω)? BHO is the supremum of Madore's psi, so how can this be any bigger?

PHPBB12345 wrote: ↑

November 13th, 2019, 6:00 am

How small is reciprocal of transcendental integer?

What the

Also, if W is w_1, what is W_1?

I've got a complete guide to ordinal numbers up to LVO. For those who know nothing about them. ωεζηφα Γ 0,1,2,3,4,5,6... ω ω, ω+1, ω+2, ω+3, ω+4,... ω+ω = ω2 ω, ω2, ω3, ω4, ω5,... ω*ω = ω^2 ω^2, ω^3, ω^4, ω^5,... ω^ω ω, ω^ω, ω^ω^ω, ω^ω^ω^ω,... ω^ω^ω^ω^ω^ω^ω^... = ε_0 ε_0+1, ω^(ε_0+1), ω^ω^(ε_0+1), ...

Moosey wrote: ↑

November 12th, 2019, 3:35 pm

gameoflifemaniac wrote: ↑

November 12th, 2019, 1:46 pm

This is the one-and-only fatest growing function

y = 1/(1-x)

But it's eventually dominated by y=x

bruh

SVO is the fixed point of what? I've got a complete guide to ordinal numbers up to LVO. For those who know nothing about them. ωεζηφα Γ 0,1,2,3,4,5,6... ω ω, ω+1, ω+2, ω+3, ω+4,... ω+ω = ω2 ω, ω2, ω3, ω4, ω5,... ω*ω = ω^2 ω^2, ω^3, ω^4, ω^5,... ω^ω ω, ω^ω, ω^ω^ω, ω^ω^ω^ω,... ω^ω^ω^ω^ω^ω^ω^... = ε_0 ...

This is the one-and-only fatest growing function

y = 1/(1-x)

lol

Wow.

What is the Bachmann-Howard ordinal?

gameoflifemaniac wrote: ↑

November 8th, 2019, 11:42 am

What is phi(1,1,0), phi(2,0,0)?
And is the Ackermann ordinal equal to Γ_Γ_Γ_Γ_Γ_Γ_Γ_Γ_Γ_Γ...?

This
Also, I can't appreciate your ah function cuz small brain

What is the large Veblen ordinal? I know it's defined by α↦φ_Ω^α(0), but can you even talk about phi of an uncountable cardinal?
What is phi(1,1,0), phi(2,0,0)?
And is the Ackermann ordinal equal to Γ_Γ_Γ_Γ_Γ_Γ_Γ_Γ_Γ_Γ...?