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paris-harrington-theorem

Definition, pronunciation, etymology, and usage for the English word. Free spelling reference powered by Wiktionary.

Letters

24 characters

Language

English

word origin

Source

Wiktionary

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Detailed reference entry for the English word "paris-harrington-theorem", 24-letters, with pronunciation in International Phonetic Alphabet notation, etymology traced through Germanic and Romance roots where applicable, common misspelling variants catalogued from Wiktionary, and usage frequency ranked against an open word-frequency list covering the top 100,000 English words. PlainSpell covers English, Spanish, Portuguese, French, and German spelling with confusable-pair detection that highlights visually and phonetically similar words. This entry for "paris-harrington-theorem" includes synonyms, antonyms, homophones, and cross-language translation pointers sourced from Wiktionary via the kaikki.org extract. Whether you are verifying the correct spelling of "paris-harrington-theorem" for academic writing, checking homophone confusion, or exploring etymological origins, this page provides a citation-backed, free reference that requires no sign-up.

Paris-Harrington theorem is aEnglishname. It means: A theorem stating that a certain combinatorial principle in Ramsey theory, namely the strengthened finite Ramsey theorem, is true, but not provable in Peano arithmetic.

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Key facts for Paris-Harrington theorem
PropertyValue
HeadwordParis-Harrington theorem
LanguageEnglish
Part of speechName
Letters24
Misspellings tracked0
Confusable pairs0
SourceWiktionary (kaikki.org)

Frequency rank visualization

Paris-Harrington theorem is not present in the top-100,000 ranked English corpus, typical for technical, archaic, or low-frequency vocabulary.

Source: FrequencyWords open word-frequency list

Spelling & Dictionary Insight

The English entry for Paris-Harrington theorem is 24 letters long, classified as aname. It sits outside the most-frequent rank tiers, which is often why uncommon words generate more spelling variants per reader.The dominant gloss from Wiktionary reads: "A theorem stating that a certain combinatorial principle in Ramsey theory, namely the strengthened finite Ramsey theorem, is true, but not provable in Peano arithmetic.".

No misspelling variants are generated for Paris-Harrington theorem in our index, suggesting the orthography follows predictable English patterns.It is not paired with a close-neighbour confusable in our dataset, which tends to mean the word is visually distinctive enough to stand on its own.

Etymologically, the entry records: Named after Jeff Paris and Leo Harrington, who carried out work on this topic. Root origin matters for spelling because borrowed morphemes (Greek, Latin, Old French, Old English) carry their source-language orthographic conventions into modern English, which is why historical etymology is often the cleanest predictor of whether a cluster like "-ough", "-eau", or "-tion" will appear. For readers arriving here from a spelling check, the authoritative guidance is: the correct English form is Paris-Harrington theorem, spelled P-A-R-I-S---H-A-R-R-I-N-G-T-O-N- -T-H-E-O-R-E-M, and any other sequence of those letters, regardless of how natural it feels, is a misspelling in standard orthography.

Definition

  1. 1
    A theorem stating that a certain combinatorial principle in Ramsey theory, namely the strengthened finite Ramsey theorem, is true, but not provable in Peano arithmetic.

Etymology

Named after Jeff Paris and Leo Harrington, who carried out work on this topic.

Frequently Asked Questions

How do you spell "Paris-Harrington theorem"?
"Paris-Harrington theorem" is spelled P-A-R-I-S---H-A-R-R-I-N-G-T-O-N- -T-H-E-O-R-E-M.
What does "Paris-Harrington theorem" mean?
As a name, "Paris-Harrington theorem" means: A theorem stating that a certain combinatorial principle in Ramsey theory, namely the strengthened finite Ramsey theorem, is true, but not provable in Peano arithmetic.
What is the origin of the word "Paris-Harrington theorem"?
Named after Jeff Paris and Leo Harrington, who carried out work on this topic. See the full etymology section above for more details.
Is PlainSpell free to use?
Yes, PlainSpell is a completely free word reference. You can look up definitions, pronunciations, confusable pairs, homophones, and spelling corrections across 5 languages without any sign-up or subscription.

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Data Source: Wiktionary (via kaikki.org), licensed under CC BY-SA & GFDL. Word ordering uses an open word-frequency list; misspelling variants are generated by edit-distance from the correct headword.