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The relationship between universe and complement. In mathematics, and particularly in set theory, category theory, type theory, and the foundations of mathematics, a universe is a collection that contains all the entities one wishes to consider in a given situation.
In mathematics, a space is a set (sometimes known as a universe) endowed with a structure defining the relationships among the elements of the set. A subspace is a subset of the parent space which retains the same structure.
The universe is often defined as "the totality of existence", or everything that exists, everything that has existed, and everything that will exist. [24] In fact, some philosophers and scientists support the inclusion of ideas and abstract concepts—such as mathematics and logic—in the definition of the universe.
In physics and cosmology, the mathematical universe hypothesis (MUH), also known as the ultimate ensemble theory, is a speculative "theory of everything" (TOE) proposed by cosmologist Max Tegmark. [1] [2] According to the hypothesis, the universe is a mathematical object in and of itself.
This is an accepted version of this page This is the latest accepted revision, reviewed on 15 January 2025. Hypothetical group of multiple universes Not to be confused with Metaverse. "Multiverses" redirects here. Not to be confused with MultiVersus. For other uses, see Multiverse (disambiguation). Part of a series on Physical cosmology Big Bang · Universe Age of the universe Chronology of ...
An infinite universe (unbounded metric space) means that there are points arbitrarily far apart: for any distance d, there are points that are of a distance at least d apart. A finite universe is a bounded metric space, where there is some distance d such that all points are within distance d of each other.
Universe (mathematics), a class large enough to contain all sets one may wish to use Universal set, ... an artwork with the English name "The Universe" Sport
Absolute, true and mathematical time, of itself, and from its own nature flows equably without regard to anything external, and by another name is called duration: relative, apparent and common time, is some sensible and external (whether accurate or unequable) measure of duration by the means of motion, which is commonly used instead of true ...