to prove something by contradiction
1Contradiction — In classical logic, a contradiction consists of a logical incompatibility between two or more propositions. It occurs when the propositions, taken together, yield two conclusions which form the logical, usually opposite inversions of each other.… …
2Mathematical 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… …
3Contraposition — For contraposition in the field of traditional logic, see Contraposition (traditional logic). For contraposition in the field of symbolic logic, see Transposition (logic). Contraposition is a logical relationship between two propositions, or… …
4Logic 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… …
5Solipsism — (Latin: solus , alone + ipse , self) is the philosophical idea that My mind is the only thing that I know exists. Solipsism is an epistemological or metaphysical position that knowledge of anything outside the mind is unjustified. The external… …
6Wikipedia:Neutral point of view — Wikipedia:Point of view redirects here. For the essay on how to describe points of view, see Wikipedia:Describing points of view. To raise issues with specific articles, see the NPOV noticeboard. For advice on applying this policy, see the NPOV… …
7Qualia — (pronEng|ˈkwɑːliə) is an unfamiliar term for something that could not be more familiar to each of us: the ways things seem to us [ [http://ase.tufts.edu/cogstud/papers/quinqual.htm Dennett, D. Quining Qualia ] ] . They can be defined as qualities …
8Inverted spectrum — is the apparent possibility of two people sharing their colour vocabulary and discriminations, although the colours one sees mdash; their qualia mdash; are systematically different from the colours the other person sees. The argument dates back… …
9Emmy Noether — Amalie Emmy Noether Born 23 March 1882(1882 03 23) …
10Critique of Pure Reason — Part of a series on Immanuel …
