explicitly definable
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Structure (mathematical logic) — In universal algebra and in model theory, a structure consists of a set along with a collection of finitary operations and relations which are defined on it. Universal algebra studies structures that generalize the algebraic structures such as… … Wikipedia
Evert Willem Beth — (July 7, 1908 ndash; April 12, 1964) was a Dutch philosopher and logician, whose work principally concerned the foundations of mathematics. Biography Beth was born in Almelo, a small town in the eastern Netherlands. His father had studied… … Wikipedia
Beth definability — In mathematical logic, Beth definability states that for any two models A , B of a first order theory T in the language L ⊇ L, if A | L = B | L (where A | L is the reduct of A to L ) implies that for all tuples a of A , A ⊨ φ [ a ] if and only if … Wikipedia
Augustine — Gerard O’Daly 1 LIFE AND PHILOSOPHICAL READINGS Augustine was born in Thagaste (modern Souk Ahras in Algeria) in Roman North Africa in AD 354. He died as bishop of Hippo (now Annaba, Algeria) in 430. His education followed the standard Roman… … History of philosophy
Aristotle’s logic and metaphysics — Alan Code PART 1: LOGICAL WORKS OVERVIEW OF ARISTOTLE’S LOGIC The Aristotelian logical works are referred to collectively using the Greek term ‘Organon’. This is a reflection of the idea that logic is a tool or instrument of, though not… … History of philosophy
History of the Church-Turing thesis — This article is an extension of the history of the Church Turing thesis.The debate and discovery of the meaning of computation and recursion has been long and contentious. This article provides detail of that debate and discovery from Peano s… … Wikipedia
T-norm fuzzy logics — are a family of non classical logics, informally delimited by having a semantics which takes the real unit interval [0, 1] for the system of truth values and functions called t norms for permissible interpretations of conjunction. They are mainly … Wikipedia
History of the Church–Turing thesis — This article is an extension of the history of the Church–Turing thesis. The debate and discovery of the meaning of computation and recursion has been long and contentious. This article provides detail of that debate and discovery from Peano s… … Wikipedia
Dilthey, Wilhelm — Dilthey Michael Lessnoff INTRODUCTION Wilhelm Dilthey was born in 1833 near Wiesbaden, and thus lived through the period of Bismarck’s creation of a unified German Empire by ‘blood and iron’. These turbulent events, however, scarcely perturbed… … History of philosophy
KABBALAH — This entry is arranged according to the following outline: introduction general notes terms used for kabbalah the historical development of the kabbalah the early beginnings of mysticism and esotericism apocalyptic esotericism and merkabah… … Encyclopedia of Judaism
Hyperreal 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