IRREDUCIBLE Meaning and
Definition
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The term "irreducible" is an adjective used to describe something that cannot be simplified, reduced, or broken down further into simpler or smaller components. It refers to a concept or entity that is in its most basic or fundamental state, lacking any further potential for decomposition.
In the context of mathematics and logic, "irreducible" pertains to a number, equation, or expression that cannot be factored or decomposed into smaller integers, polynomials, or simpler components. It implies that the entity is indecomposable, resistant to further reduction, and represents the smallest unit within a given mathematical or logical system.
When examining complex systems or phenomena, "irreducible" implies that the system or phenomenon cannot be fully explained or understood by simpler or more basic components. It suggests that there are fundamental elements or properties at play that cannot be broken down further to reveal the essence of the system or phenomenon.
Additionally, the term can also be applied to various scientific and philosophical concepts. For instance, in physics, an "irreducible representation" refers to a set of elements that cannot be further reduced or related to other elements in the same set. In philosophy, the concept of "irreducible complexity" posits that certain structures or systems in nature are too intricate and interdependent to have evolved gradually and must have originated in their complex state from the beginning.
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Not reducible; incapable of being made smaller or, in chemistry, simpler, or of being replaced.
A practical medical dictionary. By Stedman, Thomas Lathrop. Published 1920.
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That cannot be brought back to a former state, or changed to a different one.
Etymological and pronouncing dictionary of the English language. By Stormonth, James, Phelp, P. H. Published 1874.
Common Misspellings for IRREDUCIBLE
Etymology of IRREDUCIBLE
The word "irreducible" has its roots in the Latin language. It is derived from the Latin word "irreducibilis", which is a combination of the prefix "in-" meaning "not" or "un-", and the verb "reducere" meaning "to lead back" or "to bring back". Hence, "irreducible" can be understood as something that cannot be reduced or brought back.
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