Infinite+extension

  • 51Algebraic number field — In mathematics, an algebraic number field (or simply number field) F is a finite (and hence algebraic) field extension of the field of rational numbers Q. Thus F is a field that contains Q and has finite dimension when considered as a vector… …

    Wikipedia

  • 52Rene Descartes —     René Descartes     † Catholic Encyclopedia ► René Descartes     (Renatus Cartesius), philosopher and scientist, born at La Haye France, 31 March, 1596; died at Stockholm, Sweden, 11 February 1650. He studied at the Jesuit college of La Flèche …

    Catholic encyclopedia

  • 53Berkeley, George — George Berkeley David Berman BACKGROUND AND EARLY WORK George Berkeley was born on 12 March 1685 in Co. Kilkenny, where he spent his early years. His father was from England, his mother (very probably) was born in Ireland.1 After attending… …

    History of philosophy

  • 54Pythagoreans and Eleatics — Edward Hussey PYTHAGORAS AND THE EARLY PYTHAGOREANS Pythagoras, a native of Samos, emigrated to southern Italy around 520, and seems to have established himself in the city of Croton. There he founded a society of people sharing his beliefs and… …

    History of philosophy

  • 55literature — /lit euhr euh cheuhr, choor , li treuh /, n. 1. writings in which expression and form, in connection with ideas of permanent and universal interest, are characteristic or essential features, as poetry, novels, history, biography, and essays. 2.… …

    Universalium

  • 56Nature and Attributes of God —     The Nature and Attributes of God     † Catholic Encyclopedia ► The Nature and Attributes of God     I. As Known Through Natural Reason     A. Infinity of God     B. Unity or Unicity of God     C. Simplicity of God     D. Divine Personality… …

    Catholic encyclopedia

  • 57First-order logic — is a formal logical system used in mathematics, philosophy, linguistics, and computer science. It goes by many names, including: first order predicate calculus, the lower predicate calculus, quantification theory, and predicate logic (a less… …

    Wikipedia

  • 58Hyperreal number — *R redirects here. For R*, see Rockstar Games. The system of hyperreal numbers represents a rigorous method of treating the infinite and infinitesimal quantities. The hyperreals, or nonstandard reals, *R, are an extension of the real numbers R… …

    Wikipedia

  • 59Spinoza —     Benedict Spinoza     † Catholic Encyclopedia ► Benedict Spinoza     (d Espinosa, Despinoza).     Born at Amsterdam, 24 Nov., 1632; died at The Hague, 21 Feb., 1677. He belonged to a family of Jewish merchants of moderate means, and was… …

    Catholic encyclopedia

  • 60Matroid — In combinatorics, a branch of mathematics, a matroid (  /ˈmeɪ …

    Wikipedia