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Is Tree 3 the biggest number?

Posted on October 29, 2020 by Author

Table of Contents

  • 1 Is Tree 3 the biggest number?
  • 2 How do we know tree 3 is big?
  • 3 Is there something bigger than tree 3?
  • 4 Is Rayo’s number bigger than tree 3?
  • 5 What does Rayo’s number look like?
  • 6 Is there anything bigger than Rayo’s number?

Is Tree 3 the biggest number?

TREE (3) is not only bigger than Graham’s number, it is a number of an absolutely different scale of magnitude.

How do we know tree 3 is big?

When you play the game with three seed colors, the resulting number, TREE(3), is incomprehensibly enormous. For example, American mathematician Joseph Kruskal proved that any TREE(n) will ultimately result in a tree that contains a previous tree, meaning every number for n in Tree(n) will produce a finite number.

Is Tree 4 bigger than tree 3 ))?

In fact, they are probably so much bigger that even TREE(4) will dwarf TREE(3) to a much greater extent than TREE(3) dwarfs our familiar numbers. But that isn’t surprising once you know about TREE(3).

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Is there something bigger than tree 3?

11352349133049430008. SSCG(3) is much larger than both TREE(3) and TREE(3).

Is Rayo’s number bigger than tree 3?

where the total nesting depth of the formula is TREE(3) levels of the TREE function. 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.

Is Tree 3 bigger than Rayo’s number?

Graham’s number: TREE(3): appears in relation to a theorem on trees in graph theory. 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.

What does Rayo’s number look like?

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 set theory with a googol symbols or less.

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Is there anything bigger than Rayo’s number?

There is no largest number. What about Rayo’s number plus 1? So, in addition to “Rayo’s number + 1” we could raise the limit on the number of symbols allowed to, 2 googol. Or a googol googol.

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