See axiom on Wiktionary
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{
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"word": "Pasch's axiom"
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"word": "Peano axiom"
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{
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{
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"3": "axiome"
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"name": "der"
},
{
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{
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},
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}
],
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{
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"word": "completeness axiom"
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],
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{
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{
"ref": "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, page 15, column 2:",
"text": "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?",
"type": "quote"
},
{
"ref": "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, book II, pages 128–129:",
"text": "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.",
"type": "quote"
},
{
"ref": "1963 February, “Nobody runs this railway, mate”, in Modern Railways, page 73:",
"text": "Any publicity, runs the axiom, is good publicity.",
"type": "quote"
},
{
"ref": "1981, William Irwin Thompson, The Time Falling Bodies Take to Light: Mythology, Sexuality and the Origins of Culture, London: Rider/Hutchinson & Co., page 16:",
"text": "\"As above, so below\" is an axiom from Hermetic mysticism, and in this Hermetic vision of physiology the tongue is connected through the spinal column to the penis.",
"type": "quote"
},
{
"ref": "1999, Bertrand Russell, edited by Charles R. Pigden, Russell on Ethics: Selections from the Writings of Bertrand Russell, London, New York, N.Y.: Routledge, →ISBN:",
"text": "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?",
"type": "quote"
}
],
"glosses": [
"A seemingly self-evident or necessary truth which is based on assumption; a principle or proposition which cannot actually be proved or disproved."
],
"id": "en-axiom-en-noun-1fCtDClD",
"links": [
[
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[
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[
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[
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[
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[
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[
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[
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[
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[
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[
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[
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],
[
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"(philosophy) A seemingly self-evident or necessary truth which is based on assumption; a principle or proposition which cannot actually be proved or disproved."
],
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"philosophy",
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"translations": [
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"code": "sq",
"lang": "Albanian",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"feminine"
],
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},
{
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"code": "ar",
"lang": "Arabic",
"roman": "badīhiyya",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"feminine"
],
"word": "بَدِيهِيَّة"
},
{
"_dis1": "74 23 2",
"code": "hy",
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"roman": "akʻsiom",
"sense": "philosophy: supposed self‐evident or necessary truth",
"word": "աքսիոմ"
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"code": "az",
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"word": "aksiom"
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{
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"code": "be",
"lang": "Belarusian",
"roman": "aksióma",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"feminine"
],
"word": "аксіо́ма"
},
{
"_dis1": "74 23 2",
"code": "be",
"lang": "Belarusian",
"roman": "aksijóma",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
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],
"word": "аксіёма"
},
{
"_dis1": "74 23 2",
"code": "bg",
"lang": "Bulgarian",
"roman": "aksióma",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"feminine"
],
"word": "аксио́ма"
},
{
"_dis1": "74 23 2",
"code": "ca",
"lang": "Catalan",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"masculine"
],
"word": "axioma"
},
{
"_dis1": "74 23 2",
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "gōnglǐ",
"sense": "philosophy: supposed self‐evident or necessary truth",
"word": "公理"
},
{
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"code": "cs",
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"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
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"tags": [
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"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"neuter"
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"word": "axioma"
},
{
"_dis1": "74 23 2",
"code": "eo",
"lang": "Esperanto",
"sense": "philosophy: supposed self‐evident or necessary truth",
"word": "aksiomo"
},
{
"_dis1": "74 23 2",
"code": "et",
"lang": "Estonian",
"sense": "philosophy: supposed self‐evident or necessary truth",
"word": "aksioom"
},
{
"_dis1": "74 23 2",
"code": "fi",
"lang": "Finnish",
"sense": "philosophy: supposed self‐evident or necessary truth",
"word": "perusväite"
},
{
"_dis1": "74 23 2",
"code": "fi",
"lang": "Finnish",
"sense": "philosophy: supposed self‐evident or necessary truth",
"word": "aksiomi"
},
{
"_dis1": "74 23 2",
"code": "fr",
"lang": "French",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"masculine"
],
"word": "axiome"
},
{
"_dis1": "74 23 2",
"code": "gl",
"lang": "Galician",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"masculine"
],
"word": "axioma"
},
{
"_dis1": "74 23 2",
"code": "ka",
"lang": "Georgian",
"roman": "aksioma",
"sense": "philosophy: supposed self‐evident or necessary truth",
"word": "აქსიომა"
},
{
"_dis1": "74 23 2",
"code": "de",
"lang": "German",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"neuter"
],
"word": "Axiom"
},
{
"_dis1": "74 23 2",
"code": "de",
"lang": "German",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"feminine"
],
"word": "Annahme"
},
{
"_dis1": "74 23 2",
"code": "el",
"lang": "Greek",
"roman": "axíoma",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"neuter"
],
"word": "αξίωμα"
},
{
"_dis1": "74 23 2",
"code": "grc",
"lang": "Ancient Greek",
"roman": "axíōma",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"neuter"
],
"word": "ἀξίωμα"
},
{
"_dis1": "74 23 2",
"code": "he",
"lang": "Hebrew",
"roman": "aksyóma",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"feminine"
],
"word": "אַקְסְיוֹמָה"
},
{
"_dis1": "74 23 2",
"code": "hi",
"lang": "Hindi",
"roman": "abhigŕhīt",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"feminine"
],
"word": "अभिगृहीत"
},
{
"_dis1": "74 23 2",
"code": "hi",
"lang": "Hindi",
"roman": "svayansiddh",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"feminine"
],
"word": "स्वयंसिद्ध"
},
{
"_dis1": "74 23 2",
"code": "hu",
"lang": "Hungarian",
"sense": "philosophy: supposed self‐evident or necessary truth",
"word": "axióma"
},
{
"_dis1": "74 23 2",
"code": "is",
"lang": "Icelandic",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"neuter",
"plural"
],
"word": "frumsannindi"
},
{
"_dis1": "74 23 2",
"code": "is",
"lang": "Icelandic",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"feminine"
],
"word": "grundvallarregla"
},
{
"_dis1": "74 23 2",
"code": "is",
"lang": "Icelandic",
"sense": "philosophy: supposed self‐evident or necessary truth",
"word": "óræk vissa"
},
{
"_dis1": "74 23 2",
"code": "io",
"lang": "Ido",
"sense": "philosophy: supposed self‐evident or necessary truth",
"word": "axiomo"
},
{
"_dis1": "74 23 2",
"code": "ga",
"lang": "Irish",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"feminine"
],
"word": "aicsím"
},
{
"_dis1": "74 23 2",
"code": "it",
"lang": "Italian",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"masculine"
],
"word": "assioma"
},
{
"_dis1": "74 23 2",
"alt": "こうり",
"code": "ja",
"lang": "Japanese",
"roman": "kōri",
"sense": "philosophy: supposed self‐evident or necessary truth",
"word": "公理"
},
{
"_dis1": "74 23 2",
"code": "kk",
"lang": "Kazakh",
"roman": "aksioma",
"sense": "philosophy: supposed self‐evident or necessary truth",
"word": "аксиома"
},
{
"_dis1": "74 23 2",
"code": "km",
"lang": "Khmer",
"roman": "svaysat",
"sense": "philosophy: supposed self‐evident or necessary truth",
"word": "ស្វ័យសត្យ"
},
{
"_dis1": "74 23 2",
"alt": "公理",
"code": "ko",
"lang": "Korean",
"roman": "gongni",
"sense": "philosophy: supposed self‐evident or necessary truth",
"word": "공리"
},
{
"_dis1": "74 23 2",
"code": "ky",
"lang": "Kyrgyz",
"roman": "aksioma",
"sense": "philosophy: supposed self‐evident or necessary truth",
"word": "аксиома"
},
{
"_dis1": "74 23 2",
"code": "lo",
"lang": "Lao",
"roman": "kot khuām ching",
"sense": "philosophy: supposed self‐evident or necessary truth",
"word": "ກົດຄວາມຈິງ"
},
{
"_dis1": "74 23 2",
"code": "lv",
"lang": "Latvian",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"feminine"
],
"word": "aksioma"
},
{
"_dis1": "74 23 2",
"code": "lt",
"lang": "Lithuanian",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"feminine"
],
"word": "aksioma"
},
{
"_dis1": "74 23 2",
"code": "ms",
"lang": "Malay",
"sense": "philosophy: supposed self‐evident or necessary truth",
"word": "aksiom"
},
{
"_dis1": "74 23 2",
"code": "mn",
"lang": "Mongolian",
"roman": "aksiom",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"Cyrillic"
],
"word": "аксиом"
},
{
"_dis1": "74 23 2",
"code": "nb",
"lang": "Norwegian Bokmål",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"neuter"
],
"word": "aksiom"
},
{
"_dis1": "74 23 2",
"code": "nn",
"lang": "Norwegian Nynorsk",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"neuter"
],
"word": "aksiom"
},
{
"_dis1": "74 23 2",
"code": "pl",
"lang": "Polish",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"masculine"
],
"word": "aksjomat"
},
{
"_dis1": "74 23 2",
"code": "pl",
"lang": "Polish",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"masculine"
],
"word": "pewnik"
},
{
"_dis1": "74 23 2",
"code": "pt",
"lang": "Portuguese",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"masculine"
],
"word": "axioma"
},
{
"_dis1": "74 23 2",
"code": "ro",
"lang": "Romanian",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"feminine"
],
"word": "axiomă"
},
{
"_dis1": "74 23 2",
"code": "ru",
"lang": "Russian",
"roman": "aksióma",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"feminine"
],
"word": "аксио́ма"
},
{
"_dis1": "74 23 2",
"code": "sh",
"lang": "Serbo-Croatian",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"Cyrillic",
"masculine"
],
"word": "аксѝо̄м"
},
{
"_dis1": "74 23 2",
"code": "sh",
"lang": "Serbo-Croatian",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"Roman",
"masculine"
],
"word": "aksìōm"
},
{
"_dis1": "74 23 2",
"code": "sk",
"lang": "Slovak",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"feminine"
],
"word": "axióma"
},
{
"_dis1": "74 23 2",
"code": "sl",
"lang": "Slovene",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"masculine"
],
"word": "aksiom"
},
{
"_dis1": "74 23 2",
"code": "es",
"lang": "Spanish",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"masculine"
],
"word": "axioma"
},
{
"_dis1": "74 23 2",
"code": "sv",
"lang": "Swedish",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"neuter"
],
"word": "axiom"
},
{
"_dis1": "74 23 2",
"code": "tl",
"lang": "Tagalog",
"sense": "philosophy: supposed self‐evident or necessary truth",
"word": "batlain"
},
{
"_dis1": "74 23 2",
"code": "th",
"lang": "Thai",
"roman": "sàt-jà-pót",
"sense": "philosophy: supposed self‐evident or necessary truth",
"word": "สัจพจน์"
},
{
"_dis1": "74 23 2",
"code": "th",
"lang": "Thai",
"roman": "tǎa-ná-bòt",
"sense": "philosophy: supposed self‐evident or necessary truth",
"word": "ฐานบท"
},
{
"_dis1": "74 23 2",
"code": "tr",
"lang": "Turkish",
"sense": "philosophy: supposed self‐evident or necessary truth",
"word": "aksiyom"
},
{
"_dis1": "74 23 2",
"code": "uk",
"lang": "Ukrainian",
"roman": "aksióma",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"feminine"
],
"word": "аксіо́ма"
},
{
"_dis1": "74 23 2",
"code": "uz",
"lang": "Uzbek",
"sense": "philosophy: supposed self‐evident or necessary truth",
"word": "aksioma"
},
{
"_dis1": "74 23 2",
"code": "vi",
"lang": "Vietnamese",
"sense": "philosophy: supposed self‐evident or necessary truth",
"word": "chân lý"
},
{
"_dis1": "74 23 2",
"code": "vi",
"lang": "Vietnamese",
"sense": "philosophy: supposed self‐evident or necessary truth",
"word": "sự thật"
},
{
"_dis1": "74 23 2",
"code": "vi",
"lang": "Vietnamese",
"sense": "philosophy: supposed self‐evident or necessary truth",
"word": "chân lí"
},
{
"_dis1": "74 23 2",
"code": "vo",
"lang": "Volapük",
"sense": "philosophy: supposed self‐evident or necessary truth",
"word": "xiom"
}
]
},
{
"categories": [
{
"kind": "topical",
"langcode": "en",
"name": "Logic",
"orig": "en:Logic",
"parents": [
"Formal sciences",
"Philosophy",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
},
{
"kind": "topical",
"langcode": "en",
"name": "Mathematics",
"orig": "en:Mathematics",
"parents": [
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
}
],
"examples": [
{
"ref": "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, page 28:",
"text": "[…] Geometry, an excellent Logic, as you obſerve, where the definitions are clear, where the Poſtulata cannot be refuſed, nor the Axioms denied; […]",
"type": "quote"
},
{
"ref": "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:",
"text": "The axioms read as follows. For every composable pair f and g the composite f#x5C;circg goes from the domain of g to the codomain of f. For each object A the identity arrow 1#x5F;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.",
"type": "quote"
}
],
"glosses": [
"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)."
],
"id": "en-axiom-en-noun-yVQy9DKd",
"links": [
[
"logic",
"logic"
],
[
"mathematics",
"mathematics"
],
[
"fundamental",
"fundamental"
],
[
"assumption",
"assumption"
],
[
"deduction",
"deduction"
],
[
"theorem",
"theorem"
],
[
"postulate",
"postulate"
],
[
"universal",
"universal"
],
[
"particular",
"particular"
]
],
"qualifier": "proof theory",
"raw_glosses": [
"(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)."
],
"topics": [
"human-sciences",
"logic",
"mathematics",
"philosophy",
"sciences"
],
"translations": [
{
"_dis1": "34 63 3",
"code": "hy",
"lang": "Armenian",
"roman": "akʻsiom",
"sense": "mathematics: fundamental assumption",
"word": "աքսիոմ"
},
{
"_dis1": "34 63 3",
"code": "ca",
"lang": "Catalan",
"sense": "mathematics: fundamental assumption",
"tags": [
"masculine"
],
"word": "axioma"
},
{
"_dis1": "34 63 3",
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "gōnglǐ",
"sense": "mathematics: fundamental assumption",
"word": "公理"
},
{
"_dis1": "34 63 3",
"code": "cs",
"lang": "Czech",
"sense": "mathematics: fundamental assumption",
"tags": [
"masculine"
],
"word": "axiom"
},
{
"_dis1": "34 63 3",
"code": "da",
"lang": "Danish",
"sense": "mathematics: fundamental assumption",
"tags": [
"neuter"
],
"word": "aksiom"
},
{
"_dis1": "34 63 3",
"code": "nl",
"lang": "Dutch",
"sense": "mathematics: fundamental assumption",
"tags": [
"neuter"
],
"word": "axioma"
},
{
"_dis1": "34 63 3",
"code": "fi",
"lang": "Finnish",
"sense": "mathematics: fundamental assumption",
"word": "aksiomi"
},
{
"_dis1": "34 63 3",
"code": "fi",
"lang": "Finnish",
"sense": "mathematics: fundamental assumption",
"word": "peruslause"
},
{
"_dis1": "34 63 3",
"code": "fr",
"lang": "French",
"sense": "mathematics: fundamental assumption",
"tags": [
"masculine"
],
"word": "axiome"
},
{
"_dis1": "34 63 3",
"code": "de",
"lang": "German",
"sense": "mathematics: fundamental assumption",
"tags": [
"neuter"
],
"word": "Axiom"
},
{
"_dis1": "34 63 3",
"code": "de",
"lang": "German",
"sense": "mathematics: fundamental assumption",
"tags": [
"neuter"
],
"word": "Postulat"
},
{
"_dis1": "34 63 3",
"code": "de",
"lang": "German",
"sense": "mathematics: fundamental assumption",
"tags": [
"feminine"
],
"word": "Grundannahme"
},
{
"_dis1": "34 63 3",
"code": "de",
"lang": "German",
"sense": "mathematics: fundamental assumption",
"tags": [
"masculine"
],
"word": "Ausgangspunkt"
},
{
"_dis1": "34 63 3",
"code": "el",
"lang": "Greek",
"roman": "axíoma",
"sense": "mathematics: fundamental assumption",
"tags": [
"neuter"
],
"word": "αξίωμα"
},
{
"_dis1": "34 63 3",
"code": "grc",
"lang": "Ancient Greek",
"roman": "axíōma",
"sense": "mathematics: fundamental assumption",
"tags": [
"neuter"
],
"word": "ἀξίωμα"
},
{
"_dis1": "34 63 3",
"code": "hu",
"lang": "Hungarian",
"sense": "mathematics: fundamental assumption",
"word": "axióma"
},
{
"_dis1": "34 63 3",
"code": "is",
"lang": "Icelandic",
"sense": "mathematics: fundamental assumption",
"tags": [
"feminine"
],
"word": "frumsenda"
},
{
"_dis1": "34 63 3",
"code": "is",
"lang": "Icelandic",
"sense": "mathematics: fundamental assumption",
"tags": [
"feminine"
],
"word": "frumsetning"
},
{
"_dis1": "34 63 3",
"code": "io",
"lang": "Ido",
"sense": "mathematics: fundamental assumption",
"word": "axiomo"
},
{
"_dis1": "34 63 3",
"code": "ga",
"lang": "Irish",
"sense": "mathematics: fundamental assumption",
"tags": [
"feminine"
],
"word": "aicsím"
},
{
"_dis1": "34 63 3",
"code": "it",
"lang": "Italian",
"sense": "mathematics: fundamental assumption",
"tags": [
"masculine"
],
"word": "assioma"
},
{
"_dis1": "34 63 3",
"alt": "こうり",
"code": "ja",
"lang": "Japanese",
"roman": "kōri",
"sense": "mathematics: fundamental assumption",
"word": "公理"
},
{
"_dis1": "34 63 3",
"alt": "公理",
"code": "ko",
"lang": "Korean",
"roman": "gongni",
"sense": "mathematics: fundamental assumption",
"word": "공리"
},
{
"_dis1": "34 63 3",
"code": "la",
"lang": "Latin",
"sense": "mathematics: fundamental assumption",
"tags": [
"neuter"
],
"word": "axiōma"
},
{
"_dis1": "34 63 3",
"code": "enm",
"lang": "Middle English",
"sense": "mathematics: fundamental assumption",
"word": "axiom"
},
{
"_dis1": "34 63 3",
"code": "frm",
"lang": "Middle French",
"sense": "mathematics: fundamental assumption",
"word": "axiome"
},
{
"_dis1": "34 63 3",
"code": "nb",
"lang": "Norwegian Bokmål",
"sense": "mathematics: fundamental assumption",
"tags": [
"neuter"
],
"word": "aksiom"
},
{
"_dis1": "34 63 3",
"code": "nn",
"lang": "Norwegian Nynorsk",
"sense": "mathematics: fundamental assumption",
"tags": [
"neuter"
],
"word": "aksiom"
},
{
"_dis1": "34 63 3",
"code": "fro",
"lang": "Old French",
"sense": "mathematics: fundamental assumption",
"word": "axiome"
},
{
"_dis1": "34 63 3",
"code": "pl",
"lang": "Polish",
"sense": "mathematics: fundamental assumption",
"tags": [
"masculine"
],
"word": "aksjomat"
},
{
"_dis1": "34 63 3",
"code": "pl",
"lang": "Polish",
"sense": "mathematics: fundamental assumption",
"tags": [
"masculine"
],
"word": "pewnik"
},
{
"_dis1": "34 63 3",
"code": "pt",
"lang": "Portuguese",
"sense": "mathematics: fundamental assumption",
"tags": [
"masculine"
],
"word": "axioma"
},
{
"_dis1": "34 63 3",
"code": "ru",
"lang": "Russian",
"roman": "aksióma",
"sense": "mathematics: fundamental assumption",
"tags": [
"feminine"
],
"word": "аксио́ма"
},
{
"_dis1": "34 63 3",
"code": "sh",
"lang": "Serbo-Croatian",
"sense": "mathematics: fundamental assumption",
"tags": [
"Cyrillic",
"masculine"
],
"word": "аксѝо̄м"
},
{
"_dis1": "34 63 3",
"code": "sh",
"lang": "Serbo-Croatian",
"sense": "mathematics: fundamental assumption",
"tags": [
"Roman",
"masculine"
],
"word": "aksìōm"
},
{
"_dis1": "34 63 3",
"code": "sk",
"lang": "Slovak",
"sense": "mathematics: fundamental assumption",
"tags": [
"feminine"
],
"word": "axióma"
},
{
"_dis1": "34 63 3",
"code": "sl",
"lang": "Slovene",
"sense": "mathematics: fundamental assumption",
"tags": [
"masculine"
],
"word": "aksiom"
},
{
"_dis1": "34 63 3",
"code": "es",
"lang": "Spanish",
"sense": "mathematics: fundamental assumption",
"tags": [
"masculine"
],
"word": "axioma"
},
{
"_dis1": "34 63 3",
"code": "sv",
"lang": "Swedish",
"sense": "mathematics: fundamental assumption",
"tags": [
"neuter"
],
"word": "axiom"
},
{
"_dis1": "34 63 3",
"code": "tl",
"lang": "Tagalog",
"sense": "mathematics: fundamental assumption",
"word": "batlain"
},
{
"_dis1": "34 63 3",
"code": "th",
"lang": "Thai",
"roman": "sàt-jà-pót",
"sense": "mathematics: fundamental assumption",
"word": "สัจพจน์"
}
]
},
{
"categories": [],
"examples": [
{
"text": "The axioms of political economy cannot be considered absolute truths.",
"type": "example"
},
{
"ref": "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, page 40:",
"text": "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.",
"type": "quote"
},
{
"ref": "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, page 337:",
"text": "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.",
"type": "quote"
},
{
"ref": "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 Millennial Harbinger, Revised and Corrected, Bethany, Va.: Printed and published by M'Vay and Ewing, →OCLC, pages 252–253:",
"text": "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.",
"type": "quote"
},
{
"ref": "1839, [Catherine Grace Frances Gore], “chapter IV”, in The Cabinet Minister. … In Three Volumes, volume I, London: Richard Bentley, New Burlington Street, →OCLC, pages 50–51:",
"text": "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.",
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}
],
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{
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"word": "axiom of extensionality"
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"2": "axiomata"
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"expansion": "axiom (plural axioms or axiomata)",
"name": "en-noun"
}
],
"holonyms": [
{
"topics": [
"logic",
"mathematics",
"philosophy",
"human-sciences",
"sciences"
],
"word": "formal system"
}
],
"hypernyms": [
{
"topics": [
"logic",
"mathematics",
"philosophy",
"human-sciences",
"sciences"
],
"word": "well-formed formula"
},
{
"topics": [
"logic",
"mathematics",
"philosophy",
"human-sciences",
"sciences"
],
"word": "wff"
},
{
"topics": [
"logic",
"mathematics",
"philosophy",
"human-sciences",
"sciences"
],
"word": "WFF"
}
],
"hyphenation": [
"ax‧i‧om"
],
"hyponyms": [
{
"topics": [
"mathematics",
"sciences"
],
"word": "axiom of choice"
},
{
"topics": [
"mathematics",
"sciences"
],
"word": "axiom of infinity"
},
{
"topics": [
"mathematics",
"sciences"
],
"word": "axiom of pairing"
},
{
"topics": [
"mathematics",
"sciences"
],
"word": "axiom of power set"
},
{
"topics": [
"mathematics",
"sciences"
],
"word": "axiom of regularity"
},
{
"topics": [
"mathematics",
"sciences"
],
"word": "axiom of union"
},
{
"topics": [
"mathematics",
"sciences"
],
"word": "completeness axiom"
},
{
"topics": [
"mathematics",
"sciences"
],
"word": "parallel axiom"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"related": [
{
"word": "conjecture"
},
{
"word": "corollary"
},
{
"word": "demonstration"
},
{
"word": "hypothesis"
},
{
"word": "law"
},
{
"word": "lemma"
},
{
"word": "porism"
},
{
"word": "postulate"
},
{
"word": "premise"
},
{
"word": "principle"
},
{
"word": "proof"
},
{
"word": "proposition"
},
{
"word": "theorem"
},
{
"word": "theory"
},
{
"word": "truism"
}
],
"senses": [
{
"categories": [
"English terms with quotations",
"en:Philosophy"
],
"examples": [
{
"ref": "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, page 15, column 2:",
"text": "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?",
"type": "quote"
},
{
"ref": "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, book II, pages 128–129:",
"text": "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.",
"type": "quote"
},
{
"ref": "1963 February, “Nobody runs this railway, mate”, in Modern Railways, page 73:",
"text": "Any publicity, runs the axiom, is good publicity.",
"type": "quote"
},
{
"ref": "1981, William Irwin Thompson, The Time Falling Bodies Take to Light: Mythology, Sexuality and the Origins of Culture, London: Rider/Hutchinson & Co., page 16:",
"text": "\"As above, so below\" is an axiom from Hermetic mysticism, and in this Hermetic vision of physiology the tongue is connected through the spinal column to the penis.",
"type": "quote"
},
{
"ref": "1999, Bertrand Russell, edited by Charles R. Pigden, Russell on Ethics: Selections from the Writings of Bertrand Russell, London, New York, N.Y.: Routledge, →ISBN:",
"text": "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?",
"type": "quote"
}
],
"glosses": [
"A seemingly self-evident or necessary truth which is based on assumption; a principle or proposition which cannot actually be proved or disproved."
],
"links": [
[
"philosophy",
"philosophy"
],
[
"seemingly",
"seemingly"
],
[
"self-evident",
"self-evident"
],
[
"necessary",
"necessary"
],
[
"truth",
"truth"
],
[
"assumption",
"assumption"
],
[
"principle",
"principle"
],
[
"proposition",
"proposition"
],
[
"prove",
"prove"
],
[
"disprove",
"disprove"
],
[
"The Century Co.",
"w:The Century Company"
],
[
"Webster’s Revised Unabridged Dictionary",
"w:Webster's Dictionary#Webster's New International Dictionary 1909"
],
[
"G. & C. Merriam",
"w:Merriam-Webster"
]
],
"raw_glosses": [
"(philosophy) A seemingly self-evident or necessary truth which is based on assumption; a principle or proposition which cannot actually be proved or disproved."
],
"topics": [
"human-sciences",
"philosophy",
"sciences"
]
},
{
"categories": [
"English terms with quotations",
"en:Logic",
"en:Mathematics"
],
"examples": [
{
"ref": "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, page 28:",
"text": "[…] Geometry, an excellent Logic, as you obſerve, where the definitions are clear, where the Poſtulata cannot be refuſed, nor the Axioms denied; […]",
"type": "quote"
},
{
"ref": "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:",
"text": "The axioms read as follows. For every composable pair f and g the composite f#x5C;circg goes from the domain of g to the codomain of f. For each object A the identity arrow 1#x5F;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.",
"type": "quote"
}
],
"glosses": [
"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)."
],
"links": [
[
"logic",
"logic"
],
[
"mathematics",
"mathematics"
],
[
"fundamental",
"fundamental"
],
[
"assumption",
"assumption"
],
[
"deduction",
"deduction"
],
[
"theorem",
"theorem"
],
[
"postulate",
"postulate"
],
[
"universal",
"universal"
],
[
"particular",
"particular"
]
],
"qualifier": "proof theory",
"raw_glosses": [
"(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)."
],
"topics": [
"human-sciences",
"logic",
"mathematics",
"philosophy",
"sciences"
]
},
{
"categories": [
"English terms with quotations",
"English terms with usage examples"
],
"examples": [
{
"text": "The axioms of political economy cannot be considered absolute truths.",
"type": "example"
},
{
"ref": "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, page 40:",
"text": "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.",
"type": "quote"
},
{
"ref": "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, page 337:",
"text": "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.",
"type": "quote"
},
{
"ref": "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 Millennial Harbinger, Revised and Corrected, Bethany, Va.: Printed and published by M'Vay and Ewing, →OCLC, pages 252–253:",
"text": "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.",
"type": "quote"
},
{
"ref": "1839, [Catherine Grace Frances Gore], “chapter IV”, in The Cabinet Minister. … In Three Volumes, volume I, London: Richard Bentley, New Burlington Street, →OCLC, pages 50–51:",
"text": "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.",
"type": "quote"
}
],
"glosses": [
"An established principle in some artistic practice or science that is universally received."
],
"links": [
[
"established",
"established"
],
[
"principle",
"principle"
],
[
"artistic",
"artistic"
],
[
"practice",
"practice"
],
[
"science",
"science"
],
[
"universally",
"universally"
],
[
"receive",
"receive"
]
]
}
],
"sounds": [
{
"ipa": "/ˈak.sɪ.əm/",
"tags": [
"Received-Pronunciation"
]
},
{
"enpr": "ăk'sēəm",
"tags": [
"General-American"
]
},
{
"ipa": "/ˈæk.si.əm/",
"tags": [
"General-American"
]
},
{
"enpr": "ăk'shəm"
},
{
"ipa": "/ˈæk.ʃəm/"
},
{
"audio": "en-us-axiom.ogg",
"mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/0/0d/En-us-axiom.ogg/En-us-axiom.ogg.mp3",
"ogg_url": "https://upload.wikimedia.org/wikipedia/commons/0/0d/En-us-axiom.ogg"
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{
"audio": "en-au-axiom.ogg",
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"ogg_url": "https://upload.wikimedia.org/wikipedia/commons/b/b1/En-au-axiom.ogg"
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],
"synonyms": [
{
"tags": [
"archaic"
],
"topics": [
"philosophy",
"human-sciences",
"sciences",
"mathematics",
"sciences"
],
"word": "axioma"
},
{
"topics": [
"logic",
"mathematics",
"philosophy",
"human-sciences",
"sciences",
"mathematics",
"sciences"
],
"word": "postulate"
}
],
"translations": [
{
"code": "sq",
"lang": "Albanian",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"feminine"
],
"word": "aksiomë"
},
{
"code": "ar",
"lang": "Arabic",
"roman": "badīhiyya",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"feminine"
],
"word": "بَدِيهِيَّة"
},
{
"code": "hy",
"lang": "Armenian",
"roman": "akʻsiom",
"sense": "philosophy: supposed self‐evident or necessary truth",
"word": "աքսիոմ"
},
{
"code": "az",
"lang": "Azerbaijani",
"sense": "philosophy: supposed self‐evident or necessary truth",
"word": "aksiom"
},
{
"code": "be",
"lang": "Belarusian",
"roman": "aksióma",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"feminine"
],
"word": "аксіо́ма"
},
{
"code": "be",
"lang": "Belarusian",
"roman": "aksijóma",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"feminine"
],
"word": "аксіёма"
},
{
"code": "bg",
"lang": "Bulgarian",
"roman": "aksióma",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"feminine"
],
"word": "аксио́ма"
},
{
"code": "ca",
"lang": "Catalan",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"masculine"
],
"word": "axioma"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "gōnglǐ",
"sense": "philosophy: supposed self‐evident or necessary truth",
"word": "公理"
},
{
"code": "cs",
"lang": "Czech",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"masculine"
],
"word": "axiom"
},
{
"code": "da",
"lang": "Danish",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"neuter"
],
"word": "aksiom"
},
{
"code": "nl",
"lang": "Dutch",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"neuter"
],
"word": "axioma"
},
{
"code": "eo",
"lang": "Esperanto",
"sense": "philosophy: supposed self‐evident or necessary truth",
"word": "aksiomo"
},
{
"code": "et",
"lang": "Estonian",
"sense": "philosophy: supposed self‐evident or necessary truth",
"word": "aksioom"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "philosophy: supposed self‐evident or necessary truth",
"word": "perusväite"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "philosophy: supposed self‐evident or necessary truth",
"word": "aksiomi"
},
{
"code": "fr",
"lang": "French",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"masculine"
],
"word": "axiome"
},
{
"code": "gl",
"lang": "Galician",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"masculine"
],
"word": "axioma"
},
{
"code": "ka",
"lang": "Georgian",
"roman": "aksioma",
"sense": "philosophy: supposed self‐evident or necessary truth",
"word": "აქსიომა"
},
{
"code": "de",
"lang": "German",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"neuter"
],
"word": "Axiom"
},
{
"code": "de",
"lang": "German",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"feminine"
],
"word": "Annahme"
},
{
"code": "el",
"lang": "Greek",
"roman": "axíoma",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"neuter"
],
"word": "αξίωμα"
},
{
"code": "grc",
"lang": "Ancient Greek",
"roman": "axíōma",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"neuter"
],
"word": "ἀξίωμα"
},
{
"code": "he",
"lang": "Hebrew",
"roman": "aksyóma",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"feminine"
],
"word": "אַקְסְיוֹמָה"
},
{
"code": "hi",
"lang": "Hindi",
"roman": "abhigŕhīt",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"feminine"
],
"word": "अभिगृहीत"
},
{
"code": "hi",
"lang": "Hindi",
"roman": "svayansiddh",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"feminine"
],
"word": "स्वयंसिद्ध"
},
{
"code": "hu",
"lang": "Hungarian",
"sense": "philosophy: supposed self‐evident or necessary truth",
"word": "axióma"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"neuter",
"plural"
],
"word": "frumsannindi"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"feminine"
],
"word": "grundvallarregla"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "philosophy: supposed self‐evident or necessary truth",
"word": "óræk vissa"
},
{
"code": "io",
"lang": "Ido",
"sense": "philosophy: supposed self‐evident or necessary truth",
"word": "axiomo"
},
{
"code": "ga",
"lang": "Irish",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"feminine"
],
"word": "aicsím"
},
{
"code": "it",
"lang": "Italian",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"masculine"
],
"word": "assioma"
},
{
"alt": "こうり",
"code": "ja",
"lang": "Japanese",
"roman": "kōri",
"sense": "philosophy: supposed self‐evident or necessary truth",
"word": "公理"
},
{
"code": "kk",
"lang": "Kazakh",
"roman": "aksioma",
"sense": "philosophy: supposed self‐evident or necessary truth",
"word": "аксиома"
},
{
"code": "km",
"lang": "Khmer",
"roman": "svaysat",
"sense": "philosophy: supposed self‐evident or necessary truth",
"word": "ស្វ័យសត្យ"
},
{
"alt": "公理",
"code": "ko",
"lang": "Korean",
"roman": "gongni",
"sense": "philosophy: supposed self‐evident or necessary truth",
"word": "공리"
},
{
"code": "ky",
"lang": "Kyrgyz",
"roman": "aksioma",
"sense": "philosophy: supposed self‐evident or necessary truth",
"word": "аксиома"
},
{
"code": "lo",
"lang": "Lao",
"roman": "kot khuām ching",
"sense": "philosophy: supposed self‐evident or necessary truth",
"word": "ກົດຄວາມຈິງ"
},
{
"code": "lv",
"lang": "Latvian",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"feminine"
],
"word": "aksioma"
},
{
"code": "lt",
"lang": "Lithuanian",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"feminine"
],
"word": "aksioma"
},
{
"code": "ms",
"lang": "Malay",
"sense": "philosophy: supposed self‐evident or necessary truth",
"word": "aksiom"
},
{
"code": "mn",
"lang": "Mongolian",
"roman": "aksiom",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"Cyrillic"
],
"word": "аксиом"
},
{
"code": "nb",
"lang": "Norwegian Bokmål",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"neuter"
],
"word": "aksiom"
},
{
"code": "nn",
"lang": "Norwegian Nynorsk",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"neuter"
],
"word": "aksiom"
},
{
"code": "pl",
"lang": "Polish",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"masculine"
],
"word": "aksjomat"
},
{
"code": "pl",
"lang": "Polish",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"masculine"
],
"word": "pewnik"
},
{
"code": "pt",
"lang": "Portuguese",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"masculine"
],
"word": "axioma"
},
{
"code": "ro",
"lang": "Romanian",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"feminine"
],
"word": "axiomă"
},
{
"code": "ru",
"lang": "Russian",
"roman": "aksióma",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"feminine"
],
"word": "аксио́ма"
},
{
"code": "sh",
"lang": "Serbo-Croatian",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"Cyrillic",
"masculine"
],
"word": "аксѝо̄м"
},
{
"code": "sh",
"lang": "Serbo-Croatian",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"Roman",
"masculine"
],
"word": "aksìōm"
},
{
"code": "sk",
"lang": "Slovak",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"feminine"
],
"word": "axióma"
},
{
"code": "sl",
"lang": "Slovene",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"masculine"
],
"word": "aksiom"
},
{
"code": "es",
"lang": "Spanish",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"masculine"
],
"word": "axioma"
},
{
"code": "sv",
"lang": "Swedish",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"neuter"
],
"word": "axiom"
},
{
"code": "tl",
"lang": "Tagalog",
"sense": "philosophy: supposed self‐evident or necessary truth",
"word": "batlain"
},
{
"code": "th",
"lang": "Thai",
"roman": "sàt-jà-pót",
"sense": "philosophy: supposed self‐evident or necessary truth",
"word": "สัจพจน์"
},
{
"code": "th",
"lang": "Thai",
"roman": "tǎa-ná-bòt",
"sense": "philosophy: supposed self‐evident or necessary truth",
"word": "ฐานบท"
},
{
"code": "tr",
"lang": "Turkish",
"sense": "philosophy: supposed self‐evident or necessary truth",
"word": "aksiyom"
},
{
"code": "uk",
"lang": "Ukrainian",
"roman": "aksióma",
"sense": "philosophy: supposed self‐evident or necessary truth",
"tags": [
"feminine"
],
"word": "аксіо́ма"
},
{
"code": "uz",
"lang": "Uzbek",
"sense": "philosophy: supposed self‐evident or necessary truth",
"word": "aksioma"
},
{
"code": "vi",
"lang": "Vietnamese",
"sense": "philosophy: supposed self‐evident or necessary truth",
"word": "chân lý"
},
{
"code": "vi",
"lang": "Vietnamese",
"sense": "philosophy: supposed self‐evident or necessary truth",
"word": "sự thật"
},
{
"code": "vi",
"lang": "Vietnamese",
"sense": "philosophy: supposed self‐evident or necessary truth",
"word": "chân lí"
},
{
"code": "vo",
"lang": "Volapük",
"sense": "philosophy: supposed self‐evident or necessary truth",
"word": "xiom"
},
{
"code": "hy",
"lang": "Armenian",
"roman": "akʻsiom",
"sense": "mathematics: fundamental assumption",
"word": "աքսիոմ"
},
{
"code": "ca",
"lang": "Catalan",
"sense": "mathematics: fundamental assumption",
"tags": [
"masculine"
],
"word": "axioma"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "gōnglǐ",
"sense": "mathematics: fundamental assumption",
"word": "公理"
},
{
"code": "cs",
"lang": "Czech",
"sense": "mathematics: fundamental assumption",
"tags": [
"masculine"
],
"word": "axiom"
},
{
"code": "da",
"lang": "Danish",
"sense": "mathematics: fundamental assumption",
"tags": [
"neuter"
],
"word": "aksiom"
},
{
"code": "nl",
"lang": "Dutch",
"sense": "mathematics: fundamental assumption",
"tags": [
"neuter"
],
"word": "axioma"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "mathematics: fundamental assumption",
"word": "aksiomi"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "mathematics: fundamental assumption",
"word": "peruslause"
},
{
"code": "fr",
"lang": "French",
"sense": "mathematics: fundamental assumption",
"tags": [
"masculine"
],
"word": "axiome"
},
{
"code": "de",
"lang": "German",
"sense": "mathematics: fundamental assumption",
"tags": [
"neuter"
],
"word": "Axiom"
},
{
"code": "de",
"lang": "German",
"sense": "mathematics: fundamental assumption",
"tags": [
"neuter"
],
"word": "Postulat"
},
{
"code": "de",
"lang": "German",
"sense": "mathematics: fundamental assumption",
"tags": [
"feminine"
],
"word": "Grundannahme"
},
{
"code": "de",
"lang": "German",
"sense": "mathematics: fundamental assumption",
"tags": [
"masculine"
],
"word": "Ausgangspunkt"
},
{
"code": "el",
"lang": "Greek",
"roman": "axíoma",
"sense": "mathematics: fundamental assumption",
"tags": [
"neuter"
],
"word": "αξίωμα"
},
{
"code": "grc",
"lang": "Ancient Greek",
"roman": "axíōma",
"sense": "mathematics: fundamental assumption",
"tags": [
"neuter"
],
"word": "ἀξίωμα"
},
{
"code": "hu",
"lang": "Hungarian",
"sense": "mathematics: fundamental assumption",
"word": "axióma"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "mathematics: fundamental assumption",
"tags": [
"feminine"
],
"word": "frumsenda"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "mathematics: fundamental assumption",
"tags": [
"feminine"
],
"word": "frumsetning"
},
{
"code": "io",
"lang": "Ido",
"sense": "mathematics: fundamental assumption",
"word": "axiomo"
},
{
"code": "ga",
"lang": "Irish",
"sense": "mathematics: fundamental assumption",
"tags": [
"feminine"
],
"word": "aicsím"
},
{
"code": "it",
"lang": "Italian",
"sense": "mathematics: fundamental assumption",
"tags": [
"masculine"
],
"word": "assioma"
},
{
"alt": "こうり",
"code": "ja",
"lang": "Japanese",
"roman": "kōri",
"sense": "mathematics: fundamental assumption",
"word": "公理"
},
{
"alt": "公理",
"code": "ko",
"lang": "Korean",
"roman": "gongni",
"sense": "mathematics: fundamental assumption",
"word": "공리"
},
{
"code": "la",
"lang": "Latin",
"sense": "mathematics: fundamental assumption",
"tags": [
"neuter"
],
"word": "axiōma"
},
{
"code": "enm",
"lang": "Middle English",
"sense": "mathematics: fundamental assumption",
"word": "axiom"
},
{
"code": "frm",
"lang": "Middle French",
"sense": "mathematics: fundamental assumption",
"word": "axiome"
},
{
"code": "nb",
"lang": "Norwegian Bokmål",
"sense": "mathematics: fundamental assumption",
"tags": [
"neuter"
],
"word": "aksiom"
},
{
"code": "nn",
"lang": "Norwegian Nynorsk",
"sense": "mathematics: fundamental assumption",
"tags": [
"neuter"
],
"word": "aksiom"
},
{
"code": "fro",
"lang": "Old French",
"sense": "mathematics: fundamental assumption",
"word": "axiome"
},
{
"code": "pl",
"lang": "Polish",
"sense": "mathematics: fundamental assumption",
"tags": [
"masculine"
],
"word": "aksjomat"
},
{
"code": "pl",
"lang": "Polish",
"sense": "mathematics: fundamental assumption",
"tags": [
"masculine"
],
"word": "pewnik"
},
{
"code": "pt",
"lang": "Portuguese",
"sense": "mathematics: fundamental assumption",
"tags": [
"masculine"
],
"word": "axioma"
},
{
"code": "ru",
"lang": "Russian",
"roman": "aksióma",
"sense": "mathematics: fundamental assumption",
"tags": [
"feminine"
],
"word": "аксио́ма"
},
{
"code": "sh",
"lang": "Serbo-Croatian",
"sense": "mathematics: fundamental assumption",
"tags": [
"Cyrillic",
"masculine"
],
"word": "аксѝо̄м"
},
{
"code": "sh",
"lang": "Serbo-Croatian",
"sense": "mathematics: fundamental assumption",
"tags": [
"Roman",
"masculine"
],
"word": "aksìōm"
},
{
"code": "sk",
"lang": "Slovak",
"sense": "mathematics: fundamental assumption",
"tags": [
"feminine"
],
"word": "axióma"
},
{
"code": "sl",
"lang": "Slovene",
"sense": "mathematics: fundamental assumption",
"tags": [
"masculine"
],
"word": "aksiom"
},
{
"code": "es",
"lang": "Spanish",
"sense": "mathematics: fundamental assumption",
"tags": [
"masculine"
],
"word": "axioma"
},
{
"code": "sv",
"lang": "Swedish",
"sense": "mathematics: fundamental assumption",
"tags": [
"neuter"
],
"word": "axiom"
},
{
"code": "tl",
"lang": "Tagalog",
"sense": "mathematics: fundamental assumption",
"word": "batlain"
},
{
"code": "th",
"lang": "Thai",
"roman": "sàt-jà-pót",
"sense": "mathematics: fundamental assumption",
"word": "สัจพจน์"
},
{
"code": "ca",
"lang": "Catalan",
"sense": "established principle in art or science",
"tags": [
"masculine"
],
"word": "axioma"
},
{
"code": "da",
"lang": "Danish",
"sense": "established principle in art or science",
"tags": [
"neuter"
],
"word": "aksiom"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "established principle in art or science",
"word": "aksiooma"
},
{
"code": "de",
"lang": "German",
"sense": "established principle in art or science",
"tags": [
"feminine"
],
"word": "Grundannahme"
},
{
"code": "de",
"lang": "German",
"sense": "established principle in art or science",
"tags": [
"masculine"
],
"word": "Grundsatz"
},
{
"code": "de",
"lang": "German",
"sense": "established principle in art or science",
"tags": [
"masculine"
],
"word": "Leitsatz"
},
{
"code": "ga",
"lang": "Irish",
"sense": "established principle in art or science",
"tags": [
"feminine"
],
"word": "aicsím"
},
{
"code": "nb",
"lang": "Norwegian Bokmål",
"sense": "established principle in art or science",
"tags": [
"neuter"
],
"word": "aksiom"
},
{
"code": "nn",
"lang": "Norwegian Nynorsk",
"sense": "established principle in art or science",
"tags": [
"neuter"
],
"word": "aksiom"
},
{
"code": "pl",
"lang": "Polish",
"sense": "established principle in art or science",
"tags": [
"masculine"
],
"word": "pewnik"
},
{
"code": "pt",
"lang": "Portuguese",
"sense": "established principle in art or science",
"tags": [
"masculine"
],
"word": "axioma"
},
{
"code": "sh",
"lang": "Serbo-Croatian",
"sense": "established principle in art or science",
"tags": [
"Cyrillic",
"masculine"
],
"word": "аксѝо̄м"
},
{
"code": "sh",
"lang": "Serbo-Croatian",
"sense": "established principle in art or science",
"tags": [
"Roman",
"masculine"
],
"word": "aksìōm"
},
{
"code": "es",
"lang": "Spanish",
"sense": "established principle in art or science",
"tags": [
"masculine"
],
"word": "axioma"
},
{
"code": "sv",
"lang": "Swedish",
"sense": "established principle in art or science",
"tags": [
"neuter"
],
"word": "axiom"
}
],
"wikipedia": [
"Euclid",
"Oxford University Museum of Natural History"
],
"word": "axiom"
}
{
"forms": [
{
"form": "no-table-tags",
"source": "declension",
"tags": [
"table-tags"
]
},
{
"form": "sv-infl-noun-n-zero",
"source": "declension",
"tags": [
"inflection-template"
]
},
{
"form": "axiom",
"source": "declension",
"tags": [
"indefinite",
"nominative",
"singular"
]
},
{
"form": "axiomet",
"source": "declension",
"tags": [
"definite",
"nominative",
"singular"
]
},
{
"form": "axiom",
"source": "declension",
"tags": [
"indefinite",
"nominative",
"plural"
]
},
{
"form": "axiomen",
"source": "declension",
"tags": [
"definite",
"nominative",
"plural"
]
},
{
"form": "axioms",
"source": "declension",
"tags": [
"genitive",
"indefinite",
"singular"
]
},
{
"form": "axiomets",
"source": "declension",
"tags": [
"definite",
"genitive",
"singular"
]
},
{
"form": "axioms",
"source": "declension",
"tags": [
"genitive",
"indefinite",
"plural"
]
},
{
"form": "axiomens",
"source": "declension",
"tags": [
"definite",
"genitive",
"plural"
]
}
],
"head_templates": [
{
"args": {
"1": "sv",
"2": "nouns",
"3": "",
"g": "n",
"g2": "",
"head": "",
"sort": ""
},
"expansion": "axiom n",
"name": "head"
},
{
"args": {
"1": "n"
},
"expansion": "axiom n",
"name": "sv-noun"
}
],
"inflection_templates": [
{
"args": {},
"name": "sv-infl-noun-n-zero"
}
],
"lang": "Swedish",
"lang_code": "sv",
"pos": "noun",
"related": [
{
"word": "axiomatisk"
}
],
"senses": [
{
"categories": [
"Pages with 3 entries",
"Pages with entries",
"Swedish entries with incorrect language header",
"Swedish lemmas",
"Swedish neuter nouns",
"Swedish nouns"
],
"glosses": [
"axiom"
],
"links": [
[
"axiom",
"axiom#English"
]
],
"tags": [
"neuter"
]
}
],
"word": "axiom"
}
Download raw JSONL data for axiom meaning in All languages combined (36.0kB)
{
"called_from": "form_descriptions/1698",
"msg": "unrecognized head form: the latter is becoming less common and is sometimes considered archaic",
"path": [
"axiom"
],
"section": "English",
"subsection": "noun",
"title": "axiom",
"trace": ""
}
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.
If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.