Axiom
An axiom or postulate as defined in classic philosophy, is a statement (in mathematics often shown in symbolic form) that is so evident or well-established, that it is accepted without controversy or question. Thus, the axiom can be used as the premise or starting point for further reasoning or arguments, usually in logic or in mathematics The word comes from the Greek axíōma (ἀξίωμα) 'that which is thought worthy or fit' or 'that which commends itself as evident.'
As used in modern logic, an axiom is simply a premise or starting point for reasoning. Whether it is meaningful (and, if so, what it means) for an axiom, or any mathematical statement, to be "true" is a central question in the philosophy of mathematics, with modern mathematicians holding a multitude of different opinions.
As used in mathematics, the term axiom is used in two related but distinguishable senses: "logical axioms" and "non-logical axioms". Logical axioms are usually statements that are taken to be true within the system of logic they define (e.g., (A and B) implies A), while non-logical axioms (e.g., a + b = b + a) are actually substantive assertions about the elements of the domain of a specific mathematical theory (such as arithmetic). When used in the latter sense, "axiom", "postulate", and "assumption" may be used interchangeably. In general, a non-logical axiom is not a self-evident truth, but rather a formal logical expression used in deduction to build a mathematical theory. As modern mathematics admits multiple, equally "true" systems of logic, precisely the same thing must be said for logical axioms - they both define and are specific to the particular system of logic that is being invoked. To axiomatize a system of knowledge is to show that its claims can be derived from a small, well-understood set of sentences (the axioms). There are typically multiple ways to axiomatize a given mathematical domain.
Axiom (computer algebra system)
Axiom is a free, general-purpose computer algebra system. It consists of an interpreter environment, a compiler and a library, which defines a strongly typed, mathematically (mostly) correct type hierarchy.
History
Two computer algebra systems named Scratchpad were developed by IBM. The first one was started in 1965 by James Greismer at the request of Ralph Gomory, and written in Fortran. The development of this software was stopped before any public release. The second Scratchpad, originally named Scratchpad II, was developed from 1977 on, at Thomas J. Watson Research Center, under the direction of Richard Dimick Jenks. Other key early developers were Barry Trager, Stephen Watt, James Davenport, Robert Sutor, and Scott Morrison.
Scratchpad II was renamed Axiom when IBM decided, circa 1990, to make it a commercial product. A few years later, it was sold to NAG. In 2001, it was withdrawn from the market and re-released under the Modified BSD License. Since then, the project's lead developer has been Tim Daly.
Axiom (disambiguation)
An axiom is a proposition in mathematics and epistemology that is taken to be self-evident.
Axiom may also refer to:
Music
Computers and information technology
Film and television
Other uses
See also
Podcasts:
Axiom
Axiom
Released 2006- Axiom
- Lille ma médina
- Génération
- Je suis l'Arabe
- Ma lettre au Président
- J'ai fait le rêve
- Sous mon lit
- Ecrire
- Ma musique (feat. Mental Kombat (Kamea et Kheper))
- J'kiffe le rap français
- Média, média
- Fais pas ch…
- Des youyous dans ma mairie (feat. Ministère des Affaires Populaires)
- Momo
- Prenez bien soin de vos proches
- Si Dieu veut me tester
Axiom
ALBUMS
- The Axiom Archive 1969-1971 released:
The Axiom Archive 1969-1971
- Arkansas Grass
- Baby Bear
- Ford's Bridge
- Samantha
- Take It Or Leave It
- A Little Ray Of Sunshine
- Yesterday, Today And Tomorrow
- Mansfield Hotel
- Can't Let Go Of This Feeling
- Country Pickin
- Once A Month Country Race Day
- Fool's Gold
- Who Am I Gonna See
- Same Old Country Song
- My Baby's Gone
- Father Confessor
- Hold The Phone
- Sailing Ships
- Talking About It
- Time And Time Again
- Longest Day
- Matter Of Time
- Show Me The Way
- Rolling And Tumbling Down
Axiom
ALBUMS
- Masterpiece released: 2008
Masterpiece
Released 2008- Crystal Wind (Soundscape)
- RibCage
- Blood on My Hands (Ricardo Villalobos Apocalypso Now remix)
- Dead Serious
- Sysiphos
- Noiser
- Hunter
- Time Blender
- Put the Lime in the Coconut
- Compound (MIRKO remix)
- Frame
- Let's Go Juno
- Not Exactly
- Jupiter Room (Martian Assault mix)
- Acid Über Alles
- Horizon (Pig & Dan remix)
- A Thousand Nights
- Gail in the O (John Acquaviva & Damon Jee remix)
- Love for You (feat. Lisa Shaw) (Nova Dream Sequence)
- Shinkansen
Axiom (26)
ALBUMS
- Le Café Abstrait, Vol. 9 released: 2012
Axiom
ALBUMS
- Celtic Circle Sampler, Part 2 released: 1994
Axiom
ALBUMS
- Harder Mach 7 released: 2004
- Qlimax 6 - Mixed by Deepack released: 2003
Qlimax 6 - Mixed by Deepack
Released 2003- Sex Machine (DJ Isaac remix)
- Cold Night (DJ Scot Project remix)
- Whos Fiction (Devils Fiction)
- Power 2 Da People
- Thats What I Feel! (Nemesis remix)
- Sky High (Pantope remix)
- Nasty Jungle (Hardstylemasterz remix)
- Equalize It
- Kick This Mutha
- Shithead 2003 (clubmix)
- Effected
- Pump It Loud! (Cenoginerz remix)
- Dirty (DJ Stardust remix)
- Rock Da Place
- Hardstyle Instructor (Blutoniumboy hardstyle)
- The Prophecy (Qlimax Anthem)
Axiom
ALBUMS
- Apathy and Privilege released:
Axiom
ALBUMS
- Paradigm Shift released: 2011
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by Axiom
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by Ritual Carnage
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by Db's
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by Rancid
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by Cyanotic
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by Axiom
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by Axiom
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by Akercocke
La Tour Des Miracles
by: AxiomNous, la différance on a grandi dedans.
Nous la différance
On a grandi dedans,
Avec ou sans la France
On ira de l'avant.
Nous la différance
On a grandi dedans,
Avec ou sans la France
On ira de l'avant.
Au rez-de-chaussée, la famille rossé dites surtout pas au père qu'ils sont français,
Au premier guerro famille juive polonaise, une grand-mère a tout casser la.. honneur si elle monte la mayonnaise,
Au deuxième assen, un garça un galsen son père syndicaliste,
Troisième des perber de penis nasen
Au 4 des shnocs de soucié, vrais bizenesman
Y'a des blonds des chatains des bruns des rouquins, des cheveux lisses des crépus et des cheveux comme du crain,
Y'a des noirs y'a des jaunes y'a des blancs des marrons des foncés et des clairs, qui viennent vers
Nos enfants sont vivants, tendus comme les chéques scolaires et vu qu'on est perdants on a le moral des combattants,
Nous la vérité c'est même pas qu'on s'tolére,
Nous la différance on a grandi dedans.
Nous la différance
On a grandi dedans,
Avec ou sans la France
On ira de l'avant.
Nous la différance
On a grandi dedans,
Avec ou sans la France
On ira de l'avant.
Au 5eme jean claude livreur d'origine malienne ecoute du rap a donf et rêve de porsche cayen,
Au 6, rachida de famille algerienne elle digere pas ses tifs et sa vie de galerienne,
Au 7 y'a la famille jean jean des rouquins types flamends des ?? depuis l'age de 10ans
Au 8 un etudien corse qui sort de nul part qui aide les gamins a faire leurs devoirs,
Et si ça se chahute, se dispute, pour des questions de reput'
L'identité nationale pour nous c'est d'la turlute,
La rue une tarbe la qu'ici les gens luttent,
Les assos se quand l'état joue sa langue de pute.
Y'a ceux qui vont en vacances pour apprendre la culture des autres,
Nous on s'bart au bled pour se ré-approprier la notre,
Y'a ceux qui ont besoin d'aller loin pour comprendre les gens,
Nous, pas besoin la différance on a grandi dedans.
Nous la différance
On a grandi dedans,
Avec ou sans la France
On ira de l'avant.
Nous la différance
On a grandi dedans,
Avec ou sans la France
On ira de l'avant.
Au 9eme y'a Vanak famille vietnamienne sa mère cuisine halal pour que tout l'monde mange chez elle,
Au 10eme y'a un skwat de tenge de roumains aidés par ceux du 11eme italiens, capverdiens,
Au 12eme y'a Rachid le tounzi y'es ouf son rêve, dans son T3 installer un jakuzzi,
Ici on fais tous partit du même milieu,
Tous dans la merde donc on fais s'qu'on peut,
On peut parler, raconter tout c'qu'on veut,
Tous dans la merde on fait comme on peut.
Nous, on blablate pas sur la tolérance,
Nous, on la vit au quotidien nous c'est notre France,
Bienvenue chez les pauvres et bienvenue chez les fous,
Le seul endroit en France où les gens viennent de partout,
Alors que chez les riches ils rêvent de rester entre pleins...
Nous, la différance on a grandi dedans.
Nous la différance
On a grandi dedans,
Avec ou sans la France
On ira de l'avant.
Nous la différance
On a grandi dedans,
Avec ou sans la France
On ira de l'avant.
Nous, la différance on a grandi dedans.
Nous, la différance on a grandi dedans.
Nous, la différance on a grandi dedans.
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