irrational set
21analysis — /euh nal euh sis/, n., pl. analyses / seez /. 1. the separating of any material or abstract entity into its constituent elements (opposed to synthesis). 2. this process as a method of studying the nature of something or of determining its… …
22Greek arithmetic, geometry and harmonics: Thales to Plato — Ian Mueller INTRODUCTION: PROCLUS’ HISTORY OF GEOMETRY In a famous passage in Book VII of the Republic starting at Socrates proposes to inquire about the studies (mathēmata) needed to train the young people who will become leaders of the ideal… …
23Mathematical proof — In mathematics, a proof is a convincing demonstration (within the accepted standards of the field) that some mathematical statement is necessarily true.[1][2] Proofs are obtained from deductive reasoning, rather than from inductive or empirical… …
24Pi — This article is about the number. For the Greek letter, see Pi (letter). For other uses, see Pi (disambiguation). The circumference of a ci …
25painting, Western — ▪ art Introduction history of Western painting from its beginnings in prehistoric times to the present. Painting, the execution of forms and shapes on a surface by means of pigment (but see also drawing for discussion of depictions in …
26Plato: aesthetics and psychology — Christopher Rowe Plato’s ideas about literature and art and about beauty (his ‘aesthetics’) are heavily influenced and in part actually determined by his ideas about the mind or soul (his ‘psychology’).1 It is therefore appropriate to deal with… …
27Rational number — In mathematics, a rational number is any number that can be expressed as the quotient or fraction a/b of two integers, with the denominator b not equal to zero. Since b may be equal to 1, every integer is a rational number. The set of all… …
28Logic 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… …
29Liouville number — In number theory, a Liouville number is a real number x with the property that, for every positive integer n, there exist integers p and q with q > 1 and such that A Liouville number can thus be approximated quite closely by a sequence of… …
30System Shock 2 — Developer(s) Irrational Games Looking Glass Studios Publisher(s) Electronic Arts …
