NONREDUCIBILITY Meaning and
Definition
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Nonreducibility refers to the state or quality of being unable to be simplified or reduced to a simpler or more basic form or concept. It is a term commonly used in various fields, including mathematics, computer science, and philosophy, to describe situations or problems that resist or defy simplification or resolution through reductionism.
In mathematics, nonreducibility often relates to the concept of irreducibility, which denotes that a mathematical object or expression cannot be factored or decomposed into simpler or smaller constituent parts. It implies that the object or expression is in its most fundamental or irreducible form. For example, a nonreducible polynomial is one that cannot be factored into smaller polynomials.
In computer science, nonreducibility is often used in the context of algorithmic complexity. More specifically, it pertains to problems that cannot be efficiently reduced or transformed to other known problems for which a solution is already available. Nonreducible problems are often considered complex or computationally difficult, as they require significant resources or time to solve.
In philosophy, nonreducibility refers to the idea that certain phenomena or concepts cannot be fully explained or understood in terms of simpler or more basic components or principles. It suggests that there are irreducible complexities in the world that cannot be broken down or simplified without losing essential features or qualities.
Overall, nonreducibility encapsulates the notion of inherent complexity or irreducibility, whether in mathematical expressions, computational problems, or philosophical concepts, highlighting the limit of reductionism in comprehending or resolving certain phenomena.
Common Misspellings for NONREDUCIBILITY
- bonreducibility
- monreducibility
- jonreducibility
- honreducibility
- ninreducibility
- nknreducibility
- nlnreducibility
- npnreducibility
- n0nreducibility
- n9nreducibility
- nobreducibility
- nomreducibility
- nojreducibility
- nohreducibility
- noneeducibility
- nondeducibility
- nonfeducibility
- nonteducibility
- non5educibility
- non4educibility
Etymology of NONREDUCIBILITY
The word "nonreducibility" derives from the combination of two morphemes: "non-" and "reducibility".
1. "Non-" is a prefix derived from the Latin word "non", meaning "not". It is commonly used to form negative or opposite meanings.
2. "Reducibility" comes from the root word "reduce", which is derived from the Latin word "reducere". "Reduce" means to make smaller, simplify, or bring something to a basic or fundamental form. The suffix "-ibility" is added to "reduce" to form the noun "reducibility", which refers to the quality or state of being reducible.
When combining these two morphemes, "nonreducibility" is formed, meaning the state or quality of being not reducible or unable to be simplified or brought to a fundamental form.
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