How big is Rayo's number?

Rayo's number: The smallest number bigger than any number that can be named by an expression in the language of first order set-theory

set-theory

Set theory is the branch of mathematical logic that studies sets, which can be informally described as collections of objects. Although objects of any kind can be collected into a set, set theory, as a branch of mathematics, is mostly concerned with those that are relevant to mathematics as a whole.

https://en.wikipedia.org › wiki › Set_theory

Set theory - Wikipedia

with less than a googol (10100) symbols.

How many numbers are in Rayo's number?

F(n) = The least number that cannot be uniquely described by an expression of first-order set theory that contains no more than n symbols. Rayo's number is then just F(10¹⁰⁰). So one way to answer the question would be to construct a function G(n) such that G(n) grows more quickly than F(n).

Is Rayos number infinite?

Definition. The definition of Rayo's number is a variation on the definition: The smallest number bigger than any finite number named by an expression in the language of first-order set theory with a googol symbols or less.

What is the largest finite number?

Graham's number is bigger than the googolplex. It's so big, the Universe does not contain enough stuff on which to write its digits: it's literally too big to write. But this number is finite, it's also an whole number, and despite it being so mind-bogglingly huge we know it is divisible by 3 and ends in a 7.

What is larger than Rayo's number?

BIG FOOT was created later by Googology Wiki user Wojowu, and was believed to completely dethrone Rayo's number. The idea behind BIG FOOT was to "diagonalize" over a generalization of nth-order set theory known as first-order oodle theory, and it was at the time believed to be enormously larger than Rayo's number.

The Daddy of Big Numbers (Rayo's Number) - Numberphile

Is Rayos number the biggest?

Rayo's number: The smallest number bigger than any number that can be named by an expression in the language of first order set-theory with less than a googol (10100) symbols.

How big is tree3?

What is TREE(3)? It's a number. An enormous number beyond our ability to express with written notation, beyond what we could even begin to comprehend, bigger than the notoriously gargantuan Graham's number. We know TREE(3) exists, and we know it's finite, but we do not know what it is or even how many digits there are.

How many zeros are in a Googolplexianth?

Written out in ordinary decimal notation, it is 1 followed by 10¹⁰⁰ zeroes; that is, a 1 followed by a googol zeroes.

Is Big Foot bigger than Rayo's number?

BIG FOOT is a counterpart of Rayo's number based on an extended version of the language of first-order set theory. As a result, it was considered to be among the largest named numbers and was also considered to be the biggest well-defined named number.

Is TREE 4 bigger than TREE 3 ))?

Yes, it is enormously larger.

Is Omega bigger than infinity?

ABSOLUTE INFINITY !!! This is the smallest ordinal number after "omega". Informally we can think of this as infinity plus one.

Is Rayo's number well defined?

Rayo's number is, in Rayo's own words, "the smallest positive integer bigger than any finite positive integer named by an expression in the language of first-order set theory with googol symbols or less."

What is the largest non infinite number?

Googol. It is a large number, unimaginably large. It is easy to write in exponential format: 10¹⁰⁰, an extremely compact method, to easily represent the largest numbers (and also the smallest numbers).

What's the biggest number?

The number googol is a one with a hundred zeros. It got its name from a nine-year old boy. A googol is more than all the hairs in the world.

What is Googo?

A googol is 10 to the 100th power (which is 1 followed by 100 zeros). A googol is larger than the number of elementary particles in the universe, which amount to only 10 to the 80th power.

How many years is 1 googol seconds?

A googol seconds is about a sexvigintillion (10⁸¹) times the estimated age of the universe. A googol angstroms is approximately 100 trevigintillion light-years.

How big is a Googleplexian?

A googolplex is a 1 followed by a googol of zeros.

It's impossible to write out, but in scientific notation it looks like 1 x 10^{10^100}.

What called 10000000000?

1,000,000,000 (one billion, short scale; one thousand million or one milliard, one yard, long scale) is the natural number following 999,999,999 and preceding 1,000,000,001.

What is Vigintillion?

Definition of vigintillion

US : a number equal to 1 followed by 63 zeros — see Table of Numbers also, British : a number equal to 1 followed by 120 zeros — see Table of Numbers.

Can you write googol?

(i.e., a 1 with 100 zeros following it). Written out explicitly, 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000.

What happens if you memorize Graham's number?

Scientists believe that a number which is known as Graham's Number is so long that if you try to remember then your brain may collapse and the same can lead to a formation of a black hole in the brain.

Is googleplex bigger than infinity?

Googolplex may well designate the largest number named with a single word, but of course that doesn't make it the biggest number. In a last-ditch effort to hold onto the hope that there is indeed such a thing as the largest number… Child: Infinity! Nothing is larger than infinity!