irrational part
51Psychology (The separation of) from philosophy — The separation of psychology from philosophy Studies in the sciences of mind 1815–1879 Edward S.Reed THE IMPOSSIBLE SCIENCE Traditional metaphysics The consensus of European opinion during and immediately after the Napoleonic era was that… …
52Augustine — 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… …
53Number theory — A Lehmer sieve an analog computer once used for finding primes and solving simple diophantine equations. Number theory is a branch of pure mathematics devoted primarily to the study of the integers. Number theorists study prime numbers (the… …
54Logic and the philosophy of mathematics in the nineteenth century — John Stillwell INTRODUCTION In its history of over two thousand years, mathematics has seldom been disturbed by philosophical disputes. Ever since Plato, who is said to have put the slogan ‘Let no one who is not a geometer enter here’ over the… …
55Square root — Measured fall time of a small steel sphere falling from various heights. The data is in good agreement with the predicted fall time of , where h is the height and g is the acceleration of gravity. In mathematics, a square root of a number x is a… …
56Dedekind, Richard — ▪ German mathematician born Oct. 6, 1831, Braunschweig, duchy of Braunschweig [Germany] died Feb. 12, 1916, Braunschweig German mathematician who developed a major redefinition of irrational numbers (irrational number) in terms of arithmetic… …
57mysticism — /mis teuh siz euhm/, n. 1. the beliefs, ideas, or mode of thought of mystics. 2. a doctrine of an immediate spiritual intuition of truths believed to transcend ordinary understanding, or of a direct, intimate union of the soul with God through… …
58mental disorder — Any illness with a psychological origin, manifested either in symptoms of emotional distress or in abnormal behaviour. Most mental disorders can be broadly classified as either psychoses or neuroses (see neurosis; psychosis). Psychoses (e.g.,… …
59Law of excluded middle — This article uses forms of logical notation. For a concise description of the symbols used in this notation, see Table of logic symbols. In logic, the law of the excluded middle states that the propositional calculus formula P ∨ ¬ P ( P or not P… …
60Mathematical constant — A mathematical constant is a special number, usually a real number, that is significantly interesting in some way .[1] Constants arise in many different areas of mathematics, with constants such as e and π occurring in such diverse contexts as… …
