What does irreducible mean?

Definitions for irreducible
ˌɪr ɪˈdu sə bəl, -ˈdyu-ir·re·duc·ible

This dictionary definitions page includes all the possible meanings, example usage and translations of the word irreducible.

Princeton's WordNet

  1. irreducibleadjective

    incapable of being made smaller or simpler

    "an irreducible minimum"; "an irreducible formula"; "an irreducible hernia"

Wiktionary

  1. irreduciblenoun

    Such a polynomial

  2. irreducibleadjective

    Not able to be reduced or lessened.

  3. irreducibleadjective

    Not able to be brought to a simpler or reduced form.

  4. irreducibleadjective

    Unable to be factorized into polynomials of lower degree, as (x^2 + 1).

  5. irreducibleadjective

    Unable to be factored into smaller integers; prime.

  6. irreducibleadjective

    Not containing a sphere of codimension 1 that is not the boundary of a ball.

  7. irreducibleadjective

    impossible to divide further into representations of lower dimension by means of any similarity transformation

Samuel Johnson's Dictionary

  1. Irreducibleadjective

    Not to be brought or reduced.

    Etymology: in and reducible.

    These observations seem to argue the corpuscles of air to be irreducible into water. Boyle.

Wikipedia

  1. irreducible

    In philosophy, systems theory, science, and art, emergence occurs when an entity is observed to have properties its parts do not have on their own, properties or behaviors that emerge only when the parts interact in a wider whole. Emergence plays a central role in theories of integrative levels and of complex systems. For instance, the phenomenon of life as studied in biology is an emergent property of chemistry. In philosophy, theories that emphasize emergent properties have been called emergentism.

ChatGPT

  1. irreducible

    Irreducible refers to something that cannot be broken down further or simplified into smaller or more basic components. It is the property of an object or a concept which cannot be further divided, reduced, or separated without losing its original characteristics or functionality. This concept is widely used in various fields like mathematics, physics, chemistry, philosophy, and more, each with its own context-specific definitions.

Webster Dictionary

  1. Irreducibleadjective

    incapable of being reduced, or brought into a different state; incapable of restoration to its proper or normal condition; as, an irreducible hernia

  2. Irreducibleadjective

    incapable of being reduced to a simpler form of expression; as, an irreducible formula

Chambers 20th Century Dictionary

  1. Irreducible

    ir-re-dūs′i-bl, adj. that cannot be reduced or brought from one degree, form, or state to another: not to be reduced by manipulation, as a hernia, &c.—n. Irreduc′ibleness.—adv. Irreduc′ibly.—ns. Irreductibil′ity, Irreduc′tion.

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Numerology

  1. Chaldean Numerology

    The numerical value of irreducible in Chaldean Numerology is: 7

  2. Pythagorean Numerology

    The numerical value of irreducible in Pythagorean Numerology is: 7

Examples of irreducible in a Sentence

  1. Mark Green:

    Irreducible complexity is important in the argument for the creationist because of this: Evolution assumes a series of minuscule changes over time, and each change has to give a survival advantage to the organism. If it doesn't, and it causes a disadvantage the organism dies and evolution ends.

  2. Andrew Cuomo:

    The more we know, the more reliably we can achieve the goal of total harm minimization : the reduction of health and life lost both to the virus, and to societal collapse, to the irreducible minimum, we should proceed in stages because that enables us to adjust and refine, even as we make progress toward normalcy.

  3. Jon Rappoport:

    There is an irreducible thing. It's called freedom. It is native to every individual. Sometimes it rears its head in the middle of the night, and the dreamer awakes. And he asks himself: what is my freedom for? And then he begins a voyage that no device can record, measure, or analyze. If he pursues it long enough, it takes him out of the labyrinth.

  4. Aloo Denish:

    Behe's concept of Irreducible Complexity sparks curiosity among scientists, caught between Darwinian theory and the possibility of Intelligent Design. Regardless of whether Irreducible Complexity will gain full scientific legitimacy, will be deemed a creationist theory, or will become a point of convergence between Science and Faith, it is interestingly an additional fuel to the scientific quest. - Aloo Denish

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Translations for irreducible

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"irreducible." Definitions.net. STANDS4 LLC, 2024. Web. 25 Apr. 2024. <https://www.definitions.net/definition/irreducible>.

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