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# Sets, Logics, & Proofs Definitions

Browse our growing collection of sets, logics, & proofs definitions:

#### Googol

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, 10,000,000,000,000,00…

#### Googolplex

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.

#### Theorem

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 o…

#### Trivial

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…

#### Unbounded Set of Numbers

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

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

#### Uncountable Set

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

#### Uncountably Infinite

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

#### Union

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

#### Upper Bound

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

#### Venn Diagrams

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 co…

#### Whole Numbers

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