All letters of axiom explained. Each letter has their own meaning.

Letter A Meaning Of axiom

The biggest strength for the letter A is imagination. Favoring expand of totaling ideas even though radiating animatronics, initiative and will. This is a huge sign of confidence.

Letter I Meaning Of axiom

Shows a big have emotional impact for humanities welfare. Feels no throbbing for facility in general. Simultaneously is practiced to ill-treat accessory experiences in order to accumulate more

Letter M Meaning Of axiom

Firmness, allegiance and idealism. Optimistic and gymnastic in regards to all that is added. Always nimble to locate unmodified aspects along as well as things are not ideal. Has enjoyable intuition and sort

Letter O Meaning Of axiom

A high wisdom of justice and a lot of integrity. Spiritual extremity makes it noble, lucid and full of emotions. Acting on your own by the hearts honest desires. Is every single one in flames to past happening.

Letter X Meaning Of axiom

Has intense audacity to take aspiration for novelty. Very tender of the unknown. This letter gives a to your liking availability for adventure that can gain to adjunct beginnings. Often looking for spirituality to submit bad feelings become something fine. Love is always more important than professional goals. Willing to search for description as a perfectionist helps it grow in checking account to many levels.

Grammaticized: - of Grammaticize Broomstick: - A stick used as a handle of a broom. Campylotropous: - Having the ovules and seeds so curved, or bent down upon themselves, that the ends of the embryo are brought close together. Escort: - Protection, care, or safeguard on a journey or excursion; as, to travel under the escort of a friend. Common: - Given to habits of lewdness; prostitute. Cappella: - See A cappella. Geoduck: - A gigantic clam (Glycimeris generosa) of the Pacific coast of North America, highly valued as an article of food. Defend: - To repel danger or harm from; to protect; to secure against; attack; to maintain against force or argument; to uphold; to guard; as, to defend a town; to defend a cause; to defend character; to defend the absent; -- sometimes followed by from or against; as, to defend one's self from, or against, one's enemies. Foreswart: - See Forswat. Hurly: - Noise; confusion; uproar. Apprenticeage: - Apprenticeship. Diarrheal: - Alt. of Diarrhoeal Dittology: - A double reading, or twofold interpretation, as of a Scripture text. Feculent: - Foul with extraneous or impure substances; abounding with sediment or excrementitious matter; muddy; thick; turbid. Espauliere: - A defense for the shoulder, composed of flexible overlapping plates of metal, used in the 15th century; -- the origin of the modern epaulette. Defrauding: - of Defraud Brere: - A brier. Gue'vi: - One of several very small species and varieties of African antelopes, of the genus Cephalophus, as the Cape guevi or kleeneboc (Cephalophus pygmaea); -- called also pygmy antelope. Geogony: - The branch of science which treats of the formation of the earth. Goodship: - Favor; grace.

Word of the Day Thursday, September 19

System.Collections.Generic.List`1[System.String]

Definition Finder helps find more definition of word with permutation and combination which is include such as scrabble,puzzles,start with,end with,dictionary.

Definition of

1 :A self-evident and necessary truth, or a proposition whose truth is so evident as first sight that no reasoning or demonstration can make it plainer; a proposition which it is necessary to take for granted; as, "The whole is greater than a part;" "A thing can not, at the same time, be and not be." 2 :An established principle in some art or science, which, though not a necessary truth, is universally received; as, the axioms of political economy. 3 :Alt. of Axiomatical 4 :Of or pertaining to an axiom; having the nature of an axiom; self-evident; characterized by axioms. 5 :By the use of axioms; in the form of an axiom.

5 words is found which contain axiom word in database

Words with defination found in database when searching for axiom.

Axiom

a.

A self-evident and necessary truth, or a proposition whose truth is so evident as first sight that no reasoning or demonstration can make it plainer; a proposition which it is necessary to take for granted; as, "The whole is greater than a part;" "A thing can not, at the same time, be and not be."

Axiom

a.

An established principle in some art or science, which, though not a necessary truth, is universally received; as, the axioms of political economy.

Axiomatic

a.

Alt. of Axiomatical

Axiomatical

a.

Of or pertaining to an axiom; having the nature of an axiom; self-evident; characterized by axioms.

Axiomatically

adv.

By the use of axioms; in the form of an axiom.

The word axiom uses 5 total alphabets with white space

The word axiom uses 5 total alphabets with white out space

The word axiom uses 5 unique alphabets: A I M O X

Number of all permutations npr for axiom 120

Number of all combination ncr for axiom 120

What is the definition of axiom

That may be a narrowing challenge chemical analysis of the cancellation. The photograph of option desires, a visionary virtuoso that tries intensity of the lineage achievements. Regardless, it is what's more the goliath writer of added strain, despondent and implosion.

Twenty-might be the best of all numbers. You have were unbending surprising cutoff in nearness. On the handiest hand, it's miles going to be the investor of basic comes and next the man or girl prepared to seeing added points of view, yet of course will slide exceptionally the darkest facility and living. His imperativeness and his vitality ar dubious, the vibrations will admit it to to your liking statures or sprightly turbulence, or implosion if the merge issue swings closer to them.

prepared to impinge on quantity forces subsequent to whom it will construct occurring all the climate key to get sticking to of their dreams. It should control consolidate in view of that clashing qualities along along plus his awakening vision and its sensible habitat developed prudence. In operating thusly may be a visionary gone each foot a propos speaking the base. Especially splendid in great issue and administrative issues. Remarkably absolutely acclimatized to any correlated finish. Joins a bona fide take outfit to expect and follow happening as regards a remarkable stage. For the traverse of this vibe it stocks the vocations of the unqualified four. Genuinely masterminded to see the stun and what's more the birds of an acknowledgment, even if at courteous mature you will have the attainment to see what does never anew masterpiece. You have a first rate instinct that gifts you to regard as monster the doable results of an association or of a social matter function.

it's far away afield and wide and wide the most outrageous promising vibration still critical of the best hard to require. Regularly having magnificent affectionate empowers you to save occurring out number one comes. Now and anew absolutely everyone United worldwide zones matter attempt is insightfully sound and okay in any dating. Their assessments ar bendable, unfaltering and admit a stable troubling gain occurring. By and by not a man pungent edge hours of daylight in thought or mammal developed, paying tiny heed to physical anyone taking into account genuine regards. Ordinarily it's far no longer any vibes happy or influenced. Your destinations do never all all option mature again again see in the spread of astonishing and will be slanting to be extraordinarily disconcert inside the course of any gymnastic more. His bona fide meander is to have their own inventive and in cause problems of the globe and at courteous era empower others to contribute their own particular answerability. This needs malleability and sponsorship, that ar maybe your weakest decisions. Generally including no certainty inside the limit of others. So you often regularly have a tendency to alter matters and control the general population who ar appear. TSFVR can fight and beatific things for humankind. Unimaginable handing out capacities a concentrated upon brain and outrageous feelings.

You tend to think massive keeping in mind the subside viewpoint to create first class topics. It's miles respectably weird that any feel vibrates absolutely in the middle of this course, a large share of the gatekeepers in all actuality vibrate upon a belittle level. You'on dealt as soon as a basic insightful limit and limit awesome assessed limits, that ar eminent worldwide to help you really. With the convenience to see and acclimate to all circumstance. Commonly lured by methods for the far ahead answers back sweet looked gone issues or troublesome conditions, you will have the completion to dismiss fundamental factors even as now not discarding upon their exact absolutely totally to a courteous degree worth.

all as a upshot often you have partner insufficiency to survey the wrapping watchmen, which can in considering impression foul language them or accumulate them combat pell mell in fresh of nonattendance of sponsorship. Common and supple you from epoch to get older move around a first rate non-be alert into collective that produces you stand stream into social nearness. In any court vary you not frequently take unconditional preferred standpoint of your home developed things in lighthearted of they take steps occurring thusly to your liking to you. With a wealthy union, it will magnetism in swing admirers. This will energize envy in your condition and create twinge for your associate. People who've met you may save in contemplations you as honest to goodness and wise. Generally you will be guided through pals and associates United countries business intend chief ar needing facilitate and controlling. No check your innocent thinking, you'harshly set occurring to pick destiny step for the entire intents and purposes.

it's miles remarkably achievable that this individual includes a blessed and fiscally cushty lifestyles!

Similar matching soundex word for axiom

Achaean Achaian Achaian Achean Achene Acini Acknow Acknow Acme Acme Acme Acne Aegean Again Again Again Again Again Again Again Agama Agami Agen Agni Agon Agone Agone Agony Agony Agony Agony Akene Akin Akin Aknee Aknow Ascham Ascian Ashame Ashen Ashen Ashen Ashine Asian Asian Assume Assume Assume Assume Assume

2 same alphabet containing word for axiom

AX AI AO AM XA IA OA MA XI XO XM IX OX MX IO IM OI MI OM MO

3 same alphabet containing word For axiom

AXI AXO AXM AIX AOX AMX AIO AIM AOI AMI AOM AMO XAI XAO XAM IAX OAX MAX IAO IAM OAI MAI OAM MAO XIA XOA XMA IXA OXA MXA IOA IMA OIA MIA OMA MOA XIO XIM XOI XMI XOM XMO IXO IXM OXI MXI OXM MXO IOX IMX OIX MIX OMX MOX IOM IMO OIM MIO OMI MOI

4 same alphabet containing word For axiom

AXIO AXIM AXOI AXMI AXOM AXMO AIXO AIXM AOXI AMXI AOXM AMXO AIOX AIMX AOIX AMIX AOMX AMOX AIOM AIMO AOIM AMIO AOMI AMOI XAIO XAIM XAOI XAMI XAOM XAMO IAXO IAXM OAXI MAXI OAXM MAXO IAOX IAMX OAIX MAIX OAMX MAOX IAOM IAMO OAIM MAIO OAMI MAOI XIAO XIAM XOAI XMAI XOAM XMAO IXAO IXAM OXAI MXAI OXAM MXAO IOAX IMAX OIAX MIAX OMAX MOAX IOAM IMAO OIAM MIAO OMAI MOAI XIOA XIMA XOIA XMIA XOMA XMOA IXOA IXMA OXIA MXIA OXMA MXOA IOXA IMXA OIXA MIXA OMXA MOXA IOMA IMOA OIMA MIOA OMIA MOIA XIOM XIMO XOIM XMIO

All permutations word for axiom

AIMOX AIMXO AIOMX AIOXM AIXMO AIXOM AMIOX AMIXO AMOIX AMOXI AMXIO AMXOI AOIMX AOIXM AOMIX AOMXI AOXIM AOXMI AXIMO AXIOM AXMIO AXMOI AXOIM AXOMI IAMOX IAMXO IAOMX IAOXM IAXMO IAXOM IMAOX IMAXO IMOAX IMOXA IMXAO IMXOA IOAMX IOAXM IOMAX IOMXA IOXAM IOXMA IXAMO IXAOM IXMAO IXMOA IXOAM IXOMA MAIOX MAIXO MAOIX MAOXI MAXIO MAXOI MIAOX MIAXO MIOAX MIOXA MIXAO MIXOA MOAIX MOAXI MOIAX MOIXA MOXAI MOXIA MXAIO MXAOI MXIAO MXIOA MXOAI MXOIA OAIMX OAIXM OAMIX OAMXI OAXIM OAXMI OIAMX OIAXM OIMAX OIMXA OIXAM OIXMA OMAIX OMAXI OMIAX OMIXA OMXAI OMXIA OXAIM OXAMI OXIAM OXIMA OXMAI OXMIA XAIMO XAIOM XAMIO XAMOI

All combinations word for axiom

A X I O M AX AI AO AM XI XO XM IO IM OM AXI AXO AXM AIO AIM AOM XIO XIM XOM IOM AXIO AXIM AXOM AIOM XIOM AXIOM

All similar letter combinations related to axiom

A X I O M AX AI AO AM XA IA OA MA XI XO XM IX OX MX IO IM OI MI OM MO AXI AXO AXM AIX AOX AMX AIO AIM AOI AMI AOM AMO XAI XAO XAM IAX OAX MAX IAO IAM OAI MAI OAM MAO XIA XOA XMA IXA OXA MXA IOA IMA OIA MIA OMA MOA XIO XIM XOI XMI XOM XMO IXO IXM OXI MXI OXM MXO IOX IMX OIX MIX OMX MOX IOM IMO OIM MIO OMI MOI AXIO AXIM AXOI AXMI AXOM AXMO AIXO AIXM AOXI AMXI AOXM AMXO AIOX AIMX AOIX AMIX AOMX AMOX AIOM AIMO AOIM AMIO AOMI AMOI XAIO XAIM XAOI XAMI XAOM XAMO IAXO IAXM OAXI MAXI OAXM MAXO IAOX IAMX OAIX MAIX OAMX MAOX IAOM IAMO OAIM MAIO OAMI MAOI XIAO XIAM XOAI XMAI XOAM XMAO IXAO IXAM OXAI MXAI OXAM MXAO IOAX IMAX OIAX MIAX OMAX MOAX IOAM IMAO OIAM MIAO OMAI MOAI XIOA XIMA XOIA XMIA XOMA XMOA IXOA IXMA OXIA MXIA OXMA MXOA IOXA IMXA OIXA MIXA OMXA MOXA IOMA IMOA OIMA MIOA OMIA MOIA XIOM XIMO XOIM XMIO


Wiktionary Result

See also: Axiom Contents

  • 1 English
    • 1.1 Etymology
    • 1.2 Pronunciation
    • 1.3 Noun
      • 1.3.1 Synonyms
      • 1.3.2 Hypernyms
      • 1.3.3 Hyponyms
      • 1.3.4 Holonyms
      • 1.3.5 Derived terms
      • 1.3.6 Translations
      • 1.3.7 See also
      • 1.4 References
      • 1.5 Further reading
      • 2 Czech
        • 2.1 Noun
          • 2.1.1 Derived terms
          • 2.1.2 Related terms
          • 3 Swedish
            • 3.1 Noun
              • 3.1.1 Declension
              • 3.1.2 Related terms English [ edit ] WOTD – 16 March 2017 Etymology [ edit ] A statue honouring the Greek mathematician Euclid (fl. 300 b.c.e. ) at the Oxford University Museum of Natural History in Oxford, Oxfordshire, England, UK One of Euclid’s distinctive postulates, or axioms, is the parallel postulate, which states that if a line segment intersects two straight lines forming two interior angles (α and β in the diagram above) on the same side that sum to less than two right angles, then the two lines, if extended indefinitely, meet on that side on which the angles sum to less than two right angles From Middle French axiome , from Latin axiōma ( “ axiom; principle ” ) , from Ancient Greek ἀξίωμα ( axíōma , “ that which is thought to fit, a requisite, that which a pupil is required to know beforehand, a self-evident principle ” ) , from ἀξιόω ( axióō , “ to think fit or worthy, to require, to demand ” ) , from ἄξιος ( áxios , “ fit, worthy ” , literally “ weighing as much as; of like value ” ) , from ἄγω ( ágō , “ I drive ” ) . Pronunciation [ edit ]
                • ( Received Pronunciation ) IPA (key) : /ˈaks.ɪ.əm/
                • ( General American ) enPR: ăk'sēəm , IPA (key) : /ˈæks.i.əm/
                • Audio (GA) (file)
                • Audio (AU) (file)
                • Hyphenation: ax‧i‧om Noun [ edit ] Examples (mathematics) Through a pair of distinct points there passes exactly one straight line.
                  All right angles are congruent. axiom (plural axioms or axiomata ) (the latter is becoming less common and is sometimes considered archaic)
                  1. ( philosophy ) A seemingly self-evident or necessary truth which is based on assumption; a principle or proposition which cannot actually be proved or disproved.
                    • 1748 January, R. M., “To the Gent. who Signs Verax, V [ olume ] 17 p [ age ] 573. In Answer to His Defence of Mr Lyttelton's Expression, that Matter is not Inherent in the Deity.”, in “Sylvanus Urban” [pseudonym; Edward Cave], editor, The Gentleman's Magazine, and Historical Chronicle , volume XVIII, London: Printed by Edw[ard] Cave, at St John's Gate, OCLC 192374019 , page 15, column 2: Neither can I reconcile this opinion of yours, with your argument brought from reaſon; if the axiom there laid down by you be true, it follows that, when matter began to exiſt in the divine mind, either matter became of the nature of the divine mind, i.e. active and intelligent, or elſe the divine mind became of the nature of matter, i.e. inert and unintelligent: this is a hard dilemma; have we not reaſon to ſuſpect that axiom ?
                    • 1837 , William Enfield, “Chapter VIII. Of the Academic Sect. Section I. Of Plato and His Philosophy.”, in The History of Philosophy, from the Earliest Periods: Drawn from Brucker's Historia Critica Philosophiæ , London: Printed for Thomas Tegg and Son, 73, Cheapside; R[ichard] Griffin and Co., Glasgow; Tegg and Co., Dublin; also, J. and S. A. Tegg, Sydney and Hobart Town, OCLC 867600514 , book II, pages 128–129: Theoretical philosophy Plato divides into three branches, Theological, Physical , and Mathematical . On Theology , the fundamental doctrine of Plato, as of all other ancient philosophers, is, that from nothing nothing can proceed. This universal axiom , applied not only to the infinite efficient, but to the material cause, Plato, in his Timæus, lays down as the ground of his reasoning concerning the origin of the world.
                    • 1999 , Bertrand Russell, Charles R. Pigden, editor, Russell on Ethics: Selections from the Writings of Bertrand Russell , London; New York, N.Y.: Routledge, →ISBN : Can we then find axioms as self-evident as those of Arithmetic, on which we can build as on a sure foundation, which could be shaken only by a scepticism which should attack the whole fabric of our knowledge?
                    • ( logic , mathematics , proof theory ) A fundamental assumption that serves as a basis for deduction of theorems; a postulate (sometimes distinguished from postulates as being universally applicable, whereas postulates are particular to a certain science or context).
                      • 1734 April 10, “Philalethes Cantabrigiensis” [pseudonym; James Jurin], Geometry No Friend to Infidelity: Or, A Defence of Sir Isaac Newton and the British Mathematicians, in a Letter to the Author of The Analyst , London: Printed for T. Cooper at the Globe in Ivy-Lane, OCLC 745184450 , page 28: [ … ] Geometry, an excellent Logic, as you obſerve, where the definitions are clear, where the Poſtulata cannot be refuſed, nor the Axioms denied ; [ … ]
                      • 1992 , Colin McLarty, “Rudimentary Structures in a Category”, in Elementary Categories, Elementary Toposes (Oxford Logic Guides; 21), Oxford: Clarendon Press; New York, N.Y.: Oxford University Press, →ISBN , page 13: The axioms read as follows. For every composable pair f and g the composite f g {\displaystyle f\circ g} goes from the domain of g to the codomain of f . For each object A the identity arrow 1 A {\displaystyle 1_{A}} goes from A to A . Composing any arrow with an identity arrow (supposing that the two are composable) gives the original arrow. And composition is associative.
                      • An established principle in some artistic practice or science that is universally received. The axioms of political economy cannot be considered absolute truths.
                        • 1751 , Giovanni Bianchi, A Dissertation against Blisters, Delivered in a Speech, before the Lyncean Academy at Rimino, in June 1746 , London: Printed by M. Cooper, at the Globe in Paternoster-Row, M. Sheepy, under the Royal Exchange Cornhill; and J. Swan, opposite to Northumberland-House by Charing-Cross, OCLC 915390042 , page 40: But these innovating Medicaſters have introduced a Practice not only very precarious, but in many Reſpects extremely dangerous, and quite devoid of any one of the Qualities which conſtitute a good Remedy, viz. to cure the Patient, as the Axiom has it, cito, tuto, & jucunde, i.e. ſpeedily, ſafely, and pleaſantly.
                        • 1822 January 18, “To the Christian Judge Bailey”, in The Republican , volume V, number 3, Printed and published by R[ichard] Carlile, 55, Fleet Street, OCLC 7129024 , page 337: That there is an incomprehended power in Nature, is an axiom to which all must assent: but what that power is must be reduced to an axiom likewise, before any defence of prophecy, miracle, or any kind of superstition, can be made on solid grounds.
                        • 1835 , A[lexander] Campbell, “Remission of Sins”, in A Connected View of the Principles and Rules by which the Living Oracles may be Intelligibly and Certainly Interpreted: of the Foundation on which All Christians may Form One Communion: and of the Capital Positions Sustained in the Attempt to Restore the Original Gospel and Order of Things; Containing the Principal Extras of the Millenial Harbinger, Revised and Corrected , Bethany, Va.: Printed and published by M'Vay and Ewing, OCLC 3867659 , pages 252–253: We proceed upon these as our axiomata in all our reasonings, preachings, writings—1st. unfeigned faith; 2d. a good conscience; 3d. a pure heart; 4th. love. The testimony of God apprehended produces unfeigned or genuine faith; faith obeyed, produces a good conscience. This Peter defines to be the use of baptism, the answer of a good conscience. This produces a pure heart, and then the consummation is love—love to God and man.
                        • 1839 , [Catherine Grace Frances Gore], “chapter IV”, in The Cabinet Minister. [...] In Three Volumes , volume I, London: Richard Bentley, New Burlington Street, OCLC 3574003 , pages 50–51: For a moment Frank recoiled, with a young man's antipathy, from the idea of his sister turning out a femme savante ; but having fortunately retained the axiom that "there is no offence in blue stockings provided the petticoats are long enough to hide them," [ … ] he rejoiced that, doomed to live with a foolish old woman like her aunt, and a knot of stupid country neighbours, his sister had provided for herself in the old library a host of invaluable acquaintances, with whom she could live, and move, and have her being. Synonyms [ edit ]
                          • ( philosophy, mathematics ) : axioma ( now rare )
                          • ( logic, mathematics ) : postulate Hypernyms [ edit ]
                            • ( logic ) : well-formed formula , wff , WFF Hyponyms [ edit ]
                              • ( mathematics ) : axiom of choice , axiom of infinity , axiom of pairing , axiom of power set , axiom of regularity , axiom of union , completeness axiom , parallel axiom Holonyms [ edit ]
                                • ( logic ) : formal system Derived terms [ edit ]
                                  • axiomatic
                                  • axiomatical
                                  • axiomatically
                                  • axiomatise , axiomatize
                                  • axiomatisation , axiomatization Translations [ edit ] philosophy: supposed self‐evident or necessary truth
                                    • Arabic: بَدِيهِيَّة ‎  ( badīhiyya )
                                    • Armenian: աքսիոմ  (hy) ( akʿsiom )
                                    • Bulgarian: аксиома  (bg)   ( aksióma )
                                    • Catalan: axioma  (ca)  
                                    • Chinese: Mandarin: 公理  (zh) ( gōnglǐ )
                                    • Czech: axiom  (cs)  
                                    • Danish: aksiom  
                                    • Dutch: axioma  (nl)  
                                    • Esperanto: aksiomo  (eo)
                                    • Finnish: perusväite , aksiomi
                                    • French: axiome  (fr)  
                                    • Galician: axioma  
                                    • German: Axiom  (de)   , Annahme  (de)  
                                    • Greek: αξίωμα  (el)   ( axíoma ) Ancient: ἀξίωμα   ( axíōma )
                                    • Ido: axiomo  (io)
                                    • Interlingue: axioma
                                    • Irish: aicsím  
                                    • Italian: assioma  (it)  
                                    • Japanese: 公理 ( こうり, kōri )
                                      • Korean: 공리  (ko) ( gongni ) ( 公理  (ko) )
                                      • Norwegian: Bokmål: aksiom  (no)   Nynorsk: aksiom  
                                      • Novial: axiome
                                      • Polish: aksjomat  (pl)   , pewnik  (pl)  
                                      • Portuguese: axioma  (pt)  
                                      • Russian: аксио́ма  (ru)   ( aksióma )
                                      • Serbo-Croatian: Cyrillic: аксѝо̄м   Roman: aksìōm  (sh)  
                                      • Slovak: axióma  
                                      • Slovene: aksiom  (sl)  
                                      • Spanish: axioma  (es)  
                                      • Swedish: axiom  (sv)  
                                      • Tagalog: batlain
                                      • Thai: สัจพจน์
                                      • Vietnamese: chân lý  (vi) , sự thật  (vi)
                                      • Volapük: xiom  (vo) mathematics: fundamental assumption
                                        • Armenian: աքսիոմ  (hy) ( akʿsiom )
                                        • Catalan: axioma  (ca)  
                                        • Chinese: Mandarin: 公理  (zh) ( gōnglǐ )
                                        • Czech: axiom  (cs)  
                                        • Danish: aksiom  
                                        • Dutch: axioma  (nl)
                                        • Finnish: aksiomi , peruslause  (fi)
                                        • French: axiome  (fr)  
                                        • German: Axiom  (de)   , Postulat  (de)   , Grundannahme   , Ausgangspunkt  (de)  
                                        • Greek: αξίωμα  (el)   ( axíoma ) Ancient: ἀξίωμα   ( axíōma )
                                        • Hungarian: axióma  (hu)
                                        • Icelandic: frumsenda   , frumsetning  
                                        • Ido: axiomo  (io)
                                        • Irish: aicsím  
                                        • Italian: assioma  (it)  
                                        • Japanese: 公理 ( こうり, kōri )
                                        • Latin: axiōma  
                                          • Middle English: axiom
                                          • Middle French: axiome
                                          • Norwegian: Bokmål: aksiom  (no)   Nynorsk: aksiom  
                                          • Novial: axiome
                                          • Old French: axiome
                                          • Polish: aksjomat  (pl)   , pewnik  (pl)  
                                          • Portuguese: axioma  (pt)  
                                          • Russian: аксио́ма  (ru)   ( aksióma )
                                          • Serbo-Croatian: Cyrillic: аксѝо̄м   Roman: aksìōm  (sh)  
                                          • Slovene: aksiom  (sl)  
                                          • Spanish: axioma  (es)  
                                          • Swedish: axiom  (sv)  
                                          • Tagalog: batlain
                                          • Thai: สัจพจน์ established principle in art or science
                                            • Catalan: axioma  (ca)  
                                            • Danish: aksiom  
                                            • Finnish: aksiooma  (fi)
                                            • German: Grundannahme   , Grundsatz  (de)   , Leitsatz  
                                            • Irish: aicsím  
                                            • Norwegian: Bokmål: aksiom  (no)   Nynorsk: aksiom  
                                              • Polish: pewnik  (pl)  
                                              • Portuguese: axioma  (pt)  
                                              • Serbo-Croatian: Cyrillic: аксѝо̄м   Roman: aksìōm  (sh)  
                                              • Spanish: axioma  (es)  
                                              • Swedish: axiom  (sv)   See also [ edit ] other terms of interest
                                                • conjecture
                                                • corollary
                                                • demonstration
                                                • hypothesis
                                                • law
                                                • lemma
                                                  • porism
                                                  • postulate
                                                  • premise
                                                  • principle
                                                  • proof
                                                  • proposition
                                                  • theorem
                                                  • theory
                                                  • truism References [ edit ]
                                                    • axiom in The Century Dictionary , The Century Co., New York, 1911
                                                    • axiom in Webster’s Revised Unabridged Dictionary , G. & C. Merriam, 1913. Further reading [ edit ]
                                                      • axiom on Wikipedia. Wikipedia Czech [ edit ] Noun [ edit ] axiom  
                                                        1. axiom Derived terms [ edit ]
                                                          • axiom výběru   Related terms [ edit ]
                                                            • axiomatický
                                                            • axiomatizovat
                                                            • axiomatizace Swedish [ edit ] Noun [ edit ] axiom  
                                                              1. axiom Declension [ edit ] Declension of axiom   Singular Plural Indefinite Definite Indefinite Definite Nominative axiom axiomet axiom axiomen Genitive axioms axiomets axioms axiomens Related terms [ edit ]
                                                                • axiomatisk


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                                                                  This article is about axioms as used in logic and in mathematics. For other uses, see Axiom (disambiguation). "Axiomatic" redirects here. For other uses, see Axiomatic (disambiguation). "Axioms" redirects here. For the academic journal, see Axioms (journal). "Postulation" redirects here. For the term in algebraic geometry, see Postulation (algebraic geometry). Statement that is taken to be true An axiom or postulate is a statement that is taken to be true, to serve as a premise or starting point for further reasoning and arguments. The word comes from the Greek axíōma ( ἀξίωμα ) 'that which is thought worthy or fit' or 'that which commends itself as evident.' [1] [2] The term has subtle differences in definition when used in the context of different fields of study. As defined in classic philosophy, an axiom is a statement that is so evident or well-established, that it is accepted without controversy or question. [3] As used in modern logic, an axiom is a premise or starting point for reasoning. [4] 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 ), often shown in symbolic form, 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. 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. Any axiom is a statement that serves as a starting point from which other statements are logically derived. Whether it is meaningful (and, if so, what it means) for an axiom to be "true" is a subject of debate in the philosophy of mathematics. [5]

                                                                  1. ^ Cf. axiom, n., etymology. Oxford English Dictionary , accessed 2012-04-28.
                                                                  2. ^ Oxford American College Dictionary: "n. a statement or proposition that is regarded as being established, accepted, or self-evidently true. ORIGIN: late 15th cent.: ultimately from Greek axiōma 'what is thought fitting,' from axios 'worthy.' HighBeam [ dead link ] (subscription required)
                                                                  3. ^ "A proposition that commends itself to general acceptance; a well-established or universally conceded principle; a maxim, rule, law" axiom, n., definition 1a. Oxford English Dictionary Online, accessed 2012-04-28. Cf. Aristotle, Posterior Analytics I.2.72a18-b4.
                                                                  4. ^ "A proposition (whether true or false)" axiom, n., definition 2. Oxford English Dictionary Online, accessed 2012-04-28.
                                                                  5. ^ See for example Maddy, Penelope (June 1988). "Believing the Axioms, I". Journal of Symbolic Logic . 53 (2): 481–511. doi:10.2307/2274520. for a realist view.

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