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Encyclopedia > Therefore sign
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Punctuation

apostrophe ( ', )
brackets ( ), [ ], { }, < >
colon ( : )
comma ( , )
dashes ( , , , )
ellipsis ( , ... )
exclamation mark ( ! )
full stop/period ( . )
guillemets ( « » )
hyphen ( -, )
question mark ( ? )
quotation marks ( ‘ ’, “ ” )
semicolon ( ; )
slash/stroke ( / )
solidus ( )
The term punctuation has two different linguistic meanings: in general, the act and the effect of punctuating, i. ... For other uses, see Apostrophe (disambiguation). ... For technical reasons, :) and some similar combinations starting with : redirect here. ... The colon (:) is a punctuation mark, visually consisting of two equally sized dots centered on the same vertical line. ... A comma ( , ) is a punctuation mark. ... Note: This article contains special characters. ... Ellipsis (plural ellipses; from Greek omission) in linguistics refers to any omitted part of speech that is understood; i. ... an exclamation mark An exclamation mark, exclamation point or bang, !, is usually used after an interjection or exclamation to indicate strong feeling. ... A full stop or period (sometimes stop, full point or dot), is the punctuation mark commonly placed at the end of several different types of sentences in English and several other languages. ... Also called angle quotes, guillemets (<< or >>) are line segments, pointed as if arrows. ... A hyphen ( -, or ‐ ) is a punctuation mark. ... ? redirects here. ... For the Wikipedia quotation template, see here. ... A semicolon ( ; ) is a punctuation mark. ... The slash A slash or stroke, /, is a punctuation mark. ... A solidus, oblique or slash, /, is a punctuation mark. ...

Interword separation

spaces ( ) ( ) ( )
interpunct ( · )
This article or section is in need of attention from an expert on the subject. ... A space is a punctuation convention for providing interword separation in some scripts, including the Latin, Greek, Cyrillic, and Arabic. ... An interpunct is a small dot used for interword separation in ancient Latin script, being perhaps the first consistent visual representation of word boundaries in written language. ...

General typography

ampersand ( & )
asterisk ( * )
at ( @ )
backslash ( )
bullet ( )
caret ( ^ )
currency ( ¤ ) ¢, $, , £, ¥, ₩,
dagger ( ) ( )
degree ( ° )
emoticons :-)
inverted exclamation point ( ¡ )
inverted question mark ( ¿ )
number sign ( # )
percent and related signs
( %, ‰, ‱ )
pilcrow ( )
prime ( )
section sign ( § )
tilde/swung dash ( ~ )
umlaut/diaeresis ( ¨ )
underscore/understrike ( _ )
vertical/pipe/broken bar ( |, ¦ )
This article or section is in need of attention from an expert on the subject. ... This article or section is not written in the formal tone expected of an encyclopedia article. ... This article refers to the typographical symbol. ... At sign in Arial font “@” redirects here. ... First introduced in 1960 by Bob Bemer, the backslash, , is a typographical mark (glyph) used chiefly in computing. ... In typography, a bullet is a typographical symbol or glyph used to introduce items in a list, like below, also known as the point of a bullet: This is the text of a list item. ... A caret in the Arial font Caret is the name for the symbol ^ in ASCII and some other character sets. ... A two cent euro coin A US penny In currency, the cent is a monetary unit that equals th of the basic unit of value. ... $ The dollar sign ($) is a symbol primarily used to indicate a unit of currency. ... The euro (&#8364;; ISO 4217 code EUR) is the currency of twelve of the twenty-five nations that form the European Union (and four outside it, as well as Montenegro and Kosovo), which form the Economic and Monetary Union (EMU). ... The Pound sign (£) is the symbol for Pound sterling, the currency of the United Kingdom, and some other currencies of the same name in other countries. ... ¥9 Chinese price sticker ¥ is a currency sign used for the following currencies: Chinese yuan (CNY) Japanese yen (JPY) The base unit of the two currencies above share the same Chinese character (圓/元/円), pronounced yuan in Mandarin Chinese and en in Standard Japanese. ... ₩ is a currency sign that is used for the following currencies: North Korean won South Korean won Woolong, a fictional currency in Cowboy Bebop Category: ... ₪ ₪ is a currency sign that is used for the Israeli new sheqel currency which replaced the Israeli sheqel in 1985. ... A dagger (†, &dagger;, U+2020) is a typographical symbol or glyph. ... Common degree symbol This article describes the typographical or mathematical symbol. ... An emoticon, also called a smiley, is a sequence of printable characters such as :) or :-) that is intended to represent a human facial expression and convey an emotion. ... The inverted question mark and inverted exclamation point in Spanish are used to begin interrogative and exclamatory sentences, respectively. ... The inverted question mark and inverted exclamation point in Spanish are used to begin interrogative and exclamatory sentences, respectively. ... Number sign in Arial font Number sign is one name for the symbol #, and is the preferred Unicode name for the codepoint represented by that glyph. ... The percent sign (%) is the symbol used to indicate a percentage (that the preceding number is divided by one hundred). ... A pilcrow from the font Gentium, designed by J. Victor Gaultney, 2002. ... This article is not about the symbol for the set of prime numbers, ℙ. The prime (′, Unicode U+2032, &prime;) is a symbol with many mathematical uses: A complement in set theory: A′ is the complement of the set A A point related to another (e. ... The section sign The section sign (§; Unicode U+00A7, HTML entity &sect;) is a typographical character used mainly to refer to a particular section of a document, such as a legal code. ... A tilde. ... The umlaut mark (or simply umlaut) and the trema or diaeresis mark (or simply diaeresis) are two diacritics consisting of a pair of dots placed over a letter. ... The underscore _ is the character with ASCII value 95. ... Vertical bar, verti-bar, vertical line, divider line, or pipe is the name of the character (|). Broken bar (¦) is a separate character. ...

Uncommon typography

asterism ( )
therefore sign ( )
lozenge ( )
interrobang ( )
irony mark ( ؟ )
reference mark ( )
sarcasm mark
This article or section is in need of attention from an expert on the subject. ... In typography, an asterism is a rare symbol consisting of three asterisks placed in a triangle, used to call attention to a passage or to separate sub-chapters in a book. ... A lozenge (â—Š) is a form of rhombus. ... The interrobang (//) () is a rarely used, nonstandard English-language punctuation mark intended to combine the functions of a question mark and an exclamation point. ... Examples of irony marks. ... This page lists Japanese typographic symbols which are not included in kana or kanji. ... A sarcasm mark, which is represented in the Ethiopic languages, also called a sarcasm point, like a non-standard androgynous pronoun, is an often desired, but non-standardized form of American English punctuation. ...

  In a mathematical proof, the therefore sign is a symbol that is sometimes placed before a logical consequence, such as the conclusion of a syllogism. The symbol consists of three dots placed in a triangle. In reading, it is pronounced Therefore, .... It is Unicode character U+2234. In mathematics, a proof is a demonstration that, assuming certain axioms, some statement is necessarily true. ... Logical consequence is the relation that holds between a set of sentences and a sentence when the latter follows from the former. ... A syllogism (Greek: — conclusion, inference), usually the categorical syllogism, is a kind of logical argument in which one proposition (the conclusion) is inferred from two others (the premises) of a certain form. ... Dot can refer to several different characters: full stop, or period, primarily used in writing to end a sentence. ... Unicode is an industry standard designed to allow text and symbols from all of the writing systems of the world to be consistently represented and manipulated by computers. ...

Contents

History

According to Cajori, A History of Mathematical Notations, the therefore sign was first used by Johann Rahn in 1659, in the original German edition of his book Teusche Algebra. Florian Cajori at Colorado College Florian Cajori was born February 28, 1859 in St Aignan (near Thusis), Graubünden, Switzerland. ...


Related signs

The inverted form , known as the because sign, is sometimes used as a shorthand form of "because". This is Unicode character U+2235. Unicode is an industry standard designed to allow text and symbols from all of the writing systems of the world to be consistently represented and manipulated by computers. ...


The therefore sign is sometimes used as a substitute for an asterism []. Asterism has several meanings: In astronomy, it refers to a constellation_like group of stars; see asterism (astronomy) In gemmology, it is an optical phenomenon; see asterism (gemmology) In typography, it refers to a symbol; see asterism (typography) This is a disambiguation page &#8212; a navigational aid which lists other pages...


To denote logical implication or entailment, various signs are used in mathematical logic: , , , , . These symbols are then part of a mathematical formula, and are not considered to be punctuation. In contrast, the therefore sign is traditionally used as a punctuation mark, and does not form part of a formula. In logical calculus of mathematics, the logical conditional (also known as the material implication, sometimes material conditional) is a binary logical operator connecting two statements, if p then q where p is a hypothesis (or antecedent) and q is a conclusion (or consequent). ... Implication or entailment is used in propositional logic and predicate logic to describe a relationship between two sentences or sets of sentences. ... Mathematical logic is a subfield of mathematics that is concerned with formal systems in relation to the way that they encode intuitive concepts of mathematical objects such as sets and numbers, proofs, and computation. ...


Examples

Used in a syllogism:

All humans are mortal.
Socrates is a human.
 Socrates is mortal.

See also



 

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