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A googol is a large number equal to 10^{102} or 10^{100}. In other terms, the digit 1 with 100 zeros following it. Written out explicitly, 10,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000.

Googolplex is a large number equal to 10^{10100} or 10^{Googol}. In other terms, the digit 1 with a googol (10^{100}) number of zeros following it.

A theorem is a non-self-evident statement that has been proven to be true, either on the basis of generally accepted statements such as axioms, postulates or on the basis of previously established theorems.

Trivial is related to or being the mathematically most simple case. More generally, the term trivial is used to describe any result which requires little or no effort to derive or prove.

Unbounded set of numbers are a set of numbers that are not bounded. In other terms a set that lacks either a lower bound or an upper bound.

Uncountable otherwise known as uncountable set or uncountably infinite is an infinite set that contains too many elements to be countable.

Uncountable sets otherwise known as uncountable or uncountably infinite is an infinite set that contains too many elements to be countable.

Uncountably infinite otherwise known as uncountable or uncountable set is an infinite set that contains too many elements to be countable.

Union (denoted by ∪) in set theory, of a collection of sets is the set of all elements in the collection.

The upper bound of a function C exists for a function f if the condition f(x) ≤ C for all x in its domain.

A Venn diagram (also referred to as a primary diagram, set diagram or logic diagram) is a diagram that shows all possible logical relations between a finite collection of different sets.

Whole numbers are any numbers of the set of nonnegative integers. For instance any of the numbers 0, 1, 2, 3, 4, 5, etc.

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