be irreducible to a simpler form

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• Irreducible — Ir re*du ci*ble, a. 1. Incapable of being reduced, or brought into a different state; incapable of restoration to its proper or normal condition; as, an irreducible hernia. [1913 Webster] 2. (Math.) Incapable of being reduced to a simpler form of …   The Collaborative International Dictionary of English

• Irreducible case — Irreducible Ir re*du ci*ble, a. 1. Incapable of being reduced, or brought into a different state; incapable of restoration to its proper or normal condition; as, an irreducible hernia. [1913 Webster] 2. (Math.) Incapable of being reduced to a… …   The Collaborative International Dictionary of English

• Irreducible complexity — This article covers irreducible complexity as used by those who argue for intelligent design. For information on irreducible complexity as used in Systems Theory, see Irreducible complexity (Emergence). Irreducible complexity (IC) is an argument… …   Wikipedia

• Irreducible fraction — An irreducible fraction (or fraction in lowest terms or reduced form) is a vulgar fraction in which the numerator and denominator are smaller than those in any other equivalent vulgar fraction. It can be shown that a fraction a⁄b is irreducible… …   Wikipedia

• irreducible — 1. adjective /ˌɪrɪˈdjuːsɪbəl/ a) Not able to be reduced or lessened. b) Not able to be brought to a simpler or reduced form. Ant: reducible 2. noun /ˌɪrɪˈdjuːsɪbəl/ …   Wiktionary

• Irreducibleness — Irreducible Ir re*du ci*ble, a. 1. Incapable of being reduced, or brought into a different state; incapable of restoration to its proper or normal condition; as, an irreducible hernia. [1913 Webster] 2. (Math.) Incapable of being reduced to a… …   The Collaborative International Dictionary of English

• Irreducibly — Irreducible Ir re*du ci*ble, a. 1. Incapable of being reduced, or brought into a different state; incapable of restoration to its proper or normal condition; as, an irreducible hernia. [1913 Webster] 2. (Math.) Incapable of being reduced to a… …   The Collaborative International Dictionary of English

• Surreal number — In mathematics, the surreal number system is an arithmetic continuum containing the real numbers as well as infinite and infinitesimal numbers, respectively larger or smaller in absolute value than any positive real number. The surreals share… …   Wikipedia

• Abstract rewriting system — In mathematical logic and theoretical computer science, an abstract rewriting system (also (abstract) reduction system or abstract rewrite system; abbreviation ARS) is a formalism that captures the quintessential notion and properties of… …   Wikipedia

• Canonical — is an adjective derived from . Canon comes from the Greek word kanon , rule (perhaps originally from kanna reed , cognate to cane ), and is used in various meanings. Basic, canonic, canonical : reduced to the simplest and most significant form… …   Wikipedia

• Leibniz (from) to Kant — From Leibniz to Kant Lewis White Beck INTRODUCTION Had Kant not lived, German philosophy between the death of Leibniz in 1716 and the end of the eighteenth century would have little interest for us, and would remain largely unknown. In Germany… …   History of philosophy