theoremn.

Brit.

/ˈθɪərəm/, U.S.

/ˈθiərəm/,

/ˈθɪrəm/

Forms: 1500s–1600s theoreme, 1600s theorm, 1600s theorme, 1600s– theorem.

Origin: Either (i) a borrowing from French. Or (ii) a borrowing from Latin. Etymons: French theoreme; Latin theōrēma.

Etymology: < (i) Middle French theoreme (1539, earliest denoting a scientific proposition which is not self-evident but the validity of which can be demonstrated; French théorème ), or its etymon (ii) classical Latin theōrēma subject for investigation, problem (2nd cent. a.d. in Gellius; already as a Greek word in Cicero, in sense ‘precept’), in post-classical Latin also doctrine, opinion (4th cent.), (in geometry) statement which has been proved to be true (from 13th cent. in British sources), proposition known per se (c1300 in a British source) < ancient Greek θεωρηματ- , θεώρημα spectacle, speculation, theory, in Hellenistic Greek also precept, (in mathematics) proposition to be proved, subject for investigation, investigation < θεωρεῖν to be a spectator, to look at, inspect, to contemplate, consider, to speculate, theorize ( < θεωρός envoy, ambassador, spectator: see theory n.) + -μα (see -oma comb. form). Compare Spanish teorema (a1455 as †theorema in an apparently isolated instance, subsequently from the late 16th cent.), Italian teorema (a1565), and also German Theorem (16th cent., in early use with Latin inflectional endings).The semantic motivation for use in sense 2 is unclear; perhaps compare quot. 1974 for theorem painting n. at Compounds.

1. A proposition or statement which is not self-evident but is demonstrable by argument.

a. Chiefly Logic and Mathematics. A statement which has been proved to be true, or asserted as true and capable of being proved.binomial theorem, Cauchy's theorem, mean-value theorem, Taylor's theorem, etc.: see the first element.Typically distinguished from proposition and lemma by the statement having a broader importance and being of more interest in its own right.

ΘΚΠ

the world > relative properties > number > mathematics > [noun] > mathematical enquiry > proposition > theorem

theorem1551

1551 R. Record Pathway to Knowl. Argts. The Theoremes, (whiche maye be called approued truthes) seruinge for the due knowledge and sure proofe of all conclusions and workes in Geometrye.

1570 H. Billingsley tr. Euclid Elements Geom. i. f. 7^v A Theoreme, is a proposition, which requireth the searching out and demonstration of some propertie..of some figure.

1612 J. Selden in M. Drayton Poly-olbion To Rdr. sig. A3 His Geometricall Theorem in finding the Squares of an Orthogonall Triangles sides.

1672 I. Newton Let. 20 Aug. in Corr. (1959) I. 231 I presume it will not be an unpleasing speculation to your Mathematicians to find out ye Demonstration of this Theorem.

1752 B. Franklin Let. 23 Apr. in Exper. & Observ. Electr. (1769) 264 I thank you for communicating the illustration of the theorem concerning light.

1773 S. Horsley in Philos. Trans. (Royal Soc.) 64 280 Both these theorems are so easily derived from the preceeding analysis of the problem, that it is needless to add the synthetic demonstration.

1806 C. Hutton Course Math. (ed. 5) I. 2 A Theorem is a demonstrative proposition; in which some property is asserted, and the truth of it required to be proved.

1849 Spirit of Times 4 Aug. 175/2 He knows the most important theorems and problems of geometry.

1913 Amer. Jrnl. Math. 35 189 (heading) On some topological properties of plane curves and a theorem of Möbius.

1935 Bull. Amer. Math. Soc. 41 644 In a metrizable space the Borel theorem holds without the restriction of denumerability of the original family.

2010 Nature 11 Mar. 165/3 Until 2001, the Poincaré conjecture was one of the most famous open problems in maths; now it is one more theorem.

b. In general use: a theory or component of a theory which takes the form of a statement.

ΘΚΠ

the mind > mental capacity > philosophy > logic > logical reasoning > [noun] > deductivism or a priori reasoning > a principle or axiom

principlea1387

maximc1450

first principle1525

ground1528

principal1545

principium1550

protasis1572

theorem1588

postulate1590

axiom1593

groundsel1604

postulatuma1620

praecognitum1624

datum1646

self-evident1675

philosopheme1678

dictum of all and none1697

dictum of Aristotle1827

prius1882

ground rule1890

posit1900

the mind > mental capacity > philosophy > logic > logical syllogism > logical argument > [noun] > types of logical argument > theorem

theorem1588

philosopheme1678

1588 J. Harvey Discoursiue Probl. conc. Prophesies i. 13 May we builde vpon it, as vpon a most infallible theoreme, or necessary axiome?

1597 R. Hooker Of Lawes Eccl. Politie v. lxxvi. 221 The first being a theoreme both vnderstoode and confest of all, to labour in proofe thereof were superfluous.

1615 H. Crooke Μικροκοσμογραϕια 27 I call it a Science, because it hath vniuersall or generall Theoremes or Maximes, and common Notions.

1649 Bp. J. Taylor Great Exemplar i. 105 Christian Princes cannot be restrained [from war] with the engagements and peaceful Theoremes of..a holy Religion.

1676 H. Coley Clavis Astrologiæ (ed. 2) ii. Pref. 143 Note that by the word Theorm is understood a Speculation, or an undoubted Rule or Principle in any Science or Art, and is that which respects Contemplation more than Practice.

1746 London Mag. Apr. 168/1 I could demonstrate this Theorem..from Observations upon the History of almost all the Commonwealths that ever had a being, and are now no more.

1767 tr. C. di Beccaria Bonesana Ess. Crimes xiv. 48 The following general theorem is of great use in determining the certainty of a fact.

1835 I. Taylor Spiritual Despotism iii. 101 In working the abstract theorem of a church polity.

1918 Munsey's Mag. May 820/1 A political theorem merely stated is one thing; given wings of fire by the impassioned utterance of deep feeling, it is another.

2006 G. Kolko After Socialism iii. 55 Mao merely exploited the best tactical option of the moment, often based on Chinese lore..rather than Marxist theorems.

2. U.S. Cf. theorem painting n. at Compounds.

a. A stencil used in painting or decoration.

ΘΚΠ

society > leisure > the arts > visual arts > printmaking > stencilling > [noun] > equipment

print1354

stencil1707

pounce powder1713

pounce1728

pounce bag1782

stencil-plate1816

theorem1824

stencil-brush1868

stencil-paper1868

stencil-paste1875

pouncer1881

mimeo stencil1899

1824 Federal Gaz. 29 Apr. 1/5 Theorem painting on velvet..varnished theorems or theorems cut from any design..may be had.

1872 A. E. Youman Dict. Every-day Wants 249/1 If you see any irregularity in the painted parts, lay the theorem on again, and correct.

1961 Sunday News & Tribune (Jefferson City, Missouri) 12 Nov. 18/4 The stencils or theorems were cut paper designs.

2001 Frederick (Maryland) Post 16 July a7 The word ‘theorem’ refers to the stencils used to paint the picture.

b. A design or painting executed by means of a stencil or arrangement of stencils.

ΘΚΠ

society > leisure > the arts > visual arts > printmaking > stencilling > [noun] > print

trypograph1883

stencil1899

theorem1973

1973 New Yorker 3 Feb. 40/3 Old theorems (stencilled paintings or watercolors done on velvet or paper by genteel housebound girls in the nineteenth century).

1981 Wisconsin State Jrnl. 14 Jan. iii. 2/3 Last year..the shop sold braided and rag rugs, theorems..and pierced lampshades.

1992 Telegraph (Alton, Illinois) 19 July b5/5 Interest in theorems was rekindled in the early 1930s by collectors intent on preserving America's decorative arts.

Compounds

theorem painting n. now chiefly North American the action or activity of painting on paper, fabric, or some other materials using stencils.

ΚΠ

1821 London Lit. Gaz. 30 June 402 Flowers on silk, in theorem painting. This is a new application of a well known mode of laying on colours.

1968 Canad. Antiques Collector June 21/1 Theorem Painting, designs painted on white cotton velvet, was an art introduced to America from England.

1974 Frederick (Maryland) Post 20 Sept. b3/3 You don't have to be an artist to produce beautiful paintings with Theorem painting... It's simply a matter of..making a ‘theorem’ (planning the painting), cutting a stencil, and rubbing on oil paint.

2006 Sun (Yuma, Arizona) 10 Aug. d2/3 Theorem painting is often referred to as being one of the ‘school girl’ arts, and it is also considered to be folk art.

Derivatives

theoˈremic adj. (originally) involving or based on speculation or theory rather than practical knowledge; (in later use) relating to or involving theorems; relating to deduction, esp. of facts which are not direct consequences of existing or assumed knowledge.

ΘΚΠ

the mind > mental capacity > philosophy > logic > logical syllogism > logical argument > [adjective] > of types of > of a theorem

theorematical1634

theorematic1645

theoremic1701

1701 N. Grew Cosmol. Sacra ii. v. 52 Theoremick Truth, or that which lies in the Conceptions we have of Things, is Negative, or Positive.

1803 Med. Repository 6 372 Some of them make of that opinion a theoremic basis to very important deductions.

1915 Boston Globe 17 Sept. 11/3 On the highway into college Hail the seeker after knowledge..; there's nothing theoremic In his labor academic.

2006 Trans. Charles S. Peirce Soc. 42 508 For Peirce, theoremic reasoning is essential to mathematics as a discipline.

† theoremist n. Obsolete a person who discovers or formulates a theorem.

ΚΠ

1656 T. Blount Glossographia Theoremist, a professor of Theoremes.

1666 W. Austin Ἐπιλοίμια Ἔπη: Anat. Pestilence iii. 97 The great Theoremist's digests, psephisms, Decretals, scits, cancel our motacisms.

This entry has been updated (OED Third Edition, June 2015; most recently modified version published online June 2022).

单词	theorem
释义	theoremn. Brit. /ˈθɪərəm/, U.S. /ˈθiərəm/, /ˈθɪrəm/ Forms: 1500s–1600s theoreme, 1600s theorm, 1600s theorme, 1600s– theorem. Origin: Either (i) a borrowing from French. Or (ii) a borrowing from Latin. Etymons: French theoreme; Latin theōrēma. Etymology: < (i) Middle French theoreme (1539, earliest denoting a scientific proposition which is not self-evident but the validity of which can be demonstrated; French théorème ), or its etymon (ii) classical Latin theōrēma subject for investigation, problem (2nd cent. a.d. in Gellius; already as a Greek word in Cicero, in sense ‘precept’), in post-classical Latin also doctrine, opinion (4th cent.), (in geometry) statement which has been proved to be true (from 13th cent. in British sources), proposition known per se (c1300 in a British source) < ancient Greek θεωρηματ- , θεώρημα spectacle, speculation, theory, in Hellenistic Greek also precept, (in mathematics) proposition to be proved, subject for investigation, investigation < θεωρεῖν to be a spectator, to look at, inspect, to contemplate, consider, to speculate, theorize ( < θεωρός envoy, ambassador, spectator: see theory n.) + -μα (see -oma comb. form). Compare Spanish teorema (a1455 as †theorema in an apparently isolated instance, subsequently from the late 16th cent.), Italian teorema (a1565), and also German Theorem (16th cent., in early use with Latin inflectional endings).The semantic motivation for use in sense 2 is unclear; perhaps compare quot. 1974 for theorem painting n. at Compounds. 1. A proposition or statement which is not self-evident but is demonstrable by argument. a. Chiefly Logic and Mathematics. A statement which has been proved to be true, or asserted as true and capable of being proved.binomial theorem, Cauchy's theorem, mean-value theorem, Taylor's theorem, etc.: see the first element.Typically distinguished from proposition and lemma by the statement having a broader importance and being of more interest in its own right. ΘΚΠ the world > relative properties > number > mathematics > [noun] > mathematical enquiry > proposition > theorem theorem1551 1551 R. Record Pathway to Knowl. Argts. The Theoremes, (whiche maye be called approued truthes) seruinge for the due knowledge and sure proofe of all conclusions and workes in Geometrye. 1570 H. Billingsley tr. Euclid Elements Geom. i. f. 7^v A Theoreme, is a proposition, which requireth the searching out and demonstration of some propertie..of some figure. 1612 J. Selden in M. Drayton Poly-olbion To Rdr. sig. A3 His Geometricall Theorem in finding the Squares of an Orthogonall Triangles sides. 1672 I. Newton Let. 20 Aug. in Corr. (1959) I. 231 I presume it will not be an unpleasing speculation to your Mathematicians to find out ye Demonstration of this Theorem. 1752 B. Franklin Let. 23 Apr. in Exper. & Observ. Electr. (1769) 264 I thank you for communicating the illustration of the theorem concerning light. 1773 S. Horsley in Philos. Trans. (Royal Soc.) 64 280 Both these theorems are so easily derived from the preceeding analysis of the problem, that it is needless to add the synthetic demonstration. 1806 C. Hutton Course Math. (ed. 5) I. 2 A Theorem is a demonstrative proposition; in which some property is asserted, and the truth of it required to be proved. 1849 Spirit of Times 4 Aug. 175/2 He knows the most important theorems and problems of geometry. 1913 Amer. Jrnl. Math. 35 189 (heading) On some topological properties of plane curves and a theorem of Möbius. 1935 Bull. Amer. Math. Soc. 41 644 In a metrizable space the Borel theorem holds without the restriction of denumerability of the original family. 2010 Nature 11 Mar. 165/3 Until 2001, the Poincaré conjecture was one of the most famous open problems in maths; now it is one more theorem. b. In general use: a theory or component of a theory which takes the form of a statement. ΘΚΠ the mind > mental capacity > philosophy > logic > logical reasoning > [noun] > deductivism or a priori reasoning > a principle or axiom principlea1387 maximc1450 first principle1525 ground1528 principal1545 principium1550 protasis1572 theorem1588 postulate1590 axiom1593 groundsel1604 postulatuma1620 praecognitum1624 datum1646 self-evident1675 philosopheme1678 dictum of all and none1697 dictum of Aristotle1827 prius1882 ground rule1890 posit1900 the mind > mental capacity > philosophy > logic > logical syllogism > logical argument > [noun] > types of logical argument > theorem theorem1588 philosopheme1678 1588 J. Harvey Discoursiue Probl. conc. Prophesies i. 13 May we builde vpon it, as vpon a most infallible theoreme, or necessary axiome? 1597 R. Hooker Of Lawes Eccl. Politie v. lxxvi. 221 The first being a theoreme both vnderstoode and confest of all, to labour in proofe thereof were superfluous. 1615 H. Crooke Μικροκοσμογραϕια 27 I call it a Science, because it hath vniuersall or generall Theoremes or Maximes, and common Notions. 1649 Bp. J. Taylor Great Exemplar i. 105 Christian Princes cannot be restrained [from war] with the engagements and peaceful Theoremes of..a holy Religion. 1676 H. Coley Clavis Astrologiæ (ed. 2) ii. Pref. 143 Note that by the word Theorm is understood a Speculation, or an undoubted Rule or Principle in any Science or Art, and is that which respects Contemplation more than Practice. 1746 London Mag. Apr. 168/1 I could demonstrate this Theorem..from Observations upon the History of almost all the Commonwealths that ever had a being, and are now no more. 1767 tr. C. di Beccaria Bonesana Ess. Crimes xiv. 48 The following general theorem is of great use in determining the certainty of a fact. 1835 I. Taylor Spiritual Despotism iii. 101 In working the abstract theorem of a church polity. 1918 Munsey's Mag. May 820/1 A political theorem merely stated is one thing; given wings of fire by the impassioned utterance of deep feeling, it is another. 2006 G. Kolko After Socialism iii. 55 Mao merely exploited the best tactical option of the moment, often based on Chinese lore..rather than Marxist theorems. 2. U.S. Cf. theorem painting n. at Compounds. a. A stencil used in painting or decoration. ΘΚΠ society > leisure > the arts > visual arts > printmaking > stencilling > [noun] > equipment print1354 stencil1707 pounce powder1713 pounce1728 pounce bag1782 stencil-plate1816 theorem1824 stencil-brush1868 stencil-paper1868 stencil-paste1875 pouncer1881 mimeo stencil1899 1824 Federal Gaz. 29 Apr. 1/5 Theorem painting on velvet..varnished theorems or theorems cut from any design..may be had. 1872 A. E. Youman Dict. Every-day Wants 249/1 If you see any irregularity in the painted parts, lay the theorem on again, and correct. 1961 Sunday News & Tribune (Jefferson City, Missouri) 12 Nov. 18/4 The stencils or theorems were cut paper designs. 2001 Frederick (Maryland) Post 16 July a7 The word ‘theorem’ refers to the stencils used to paint the picture. b. A design or painting executed by means of a stencil or arrangement of stencils. ΘΚΠ society > leisure > the arts > visual arts > printmaking > stencilling > [noun] > print trypograph1883 stencil1899 theorem1973 1973 New Yorker 3 Feb. 40/3 Old theorems (stencilled paintings or watercolors done on velvet or paper by genteel housebound girls in the nineteenth century). 1981 Wisconsin State Jrnl. 14 Jan. iii. 2/3 Last year..the shop sold braided and rag rugs, theorems..and pierced lampshades. 1992 Telegraph (Alton, Illinois) 19 July b5/5 Interest in theorems was rekindled in the early 1930s by collectors intent on preserving America's decorative arts. Compounds theorem painting n. now chiefly North American the action or activity of painting on paper, fabric, or some other materials using stencils. ΚΠ 1821 London Lit. Gaz. 30 June 402 Flowers on silk, in theorem painting. This is a new application of a well known mode of laying on colours. 1968 Canad. Antiques Collector June 21/1 Theorem Painting, designs painted on white cotton velvet, was an art introduced to America from England. 1974 Frederick (Maryland) Post 20 Sept. b3/3 You don't have to be an artist to produce beautiful paintings with Theorem painting... It's simply a matter of..making a ‘theorem’ (planning the painting), cutting a stencil, and rubbing on oil paint. 2006 Sun (Yuma, Arizona) 10 Aug. d2/3 Theorem painting is often referred to as being one of the ‘school girl’ arts, and it is also considered to be folk art. Derivatives theoˈremic adj. (originally) involving or based on speculation or theory rather than practical knowledge; (in later use) relating to or involving theorems; relating to deduction, esp. of facts which are not direct consequences of existing or assumed knowledge. ΘΚΠ the mind > mental capacity > philosophy > logic > logical syllogism > logical argument > [adjective] > of types of > of a theorem theorematical1634 theorematic1645 theoremic1701 1701 N. Grew Cosmol. Sacra ii. v. 52 Theoremick Truth, or that which lies in the Conceptions we have of Things, is Negative, or Positive. 1803 Med. Repository 6 372 Some of them make of that opinion a theoremic basis to very important deductions. 1915 Boston Globe 17 Sept. 11/3 On the highway into college Hail the seeker after knowledge..; there's nothing theoremic In his labor academic. 2006 Trans. Charles S. Peirce Soc. 42 508 For Peirce, theoremic reasoning is essential to mathematics as a discipline. † theoremist n. Obsolete a person who discovers or formulates a theorem. ΚΠ 1656 T. Blount Glossographia Theoremist, a professor of Theoremes. 1666 W. Austin Ἐπιλοίμια Ἔπη: Anat. Pestilence iii. 97 The great Theoremist's digests, psephisms, Decretals, scits, cancel our motacisms. This entry has been updated (OED Third Edition, June 2015; most recently modified version published online June 2022). † theoremv. Origin: Formed within English, by conversion. Etymon: theorem n. Etymology: < theorem n. N.E.D. (1912) gives the pronunciation as (þī·ŏrėm) /ˈθiːərɪm/. Obsolete. rare. transitive. To work (something) out, esp. by deduction. ΘΚΠ the mind > attention and judgement > testing > debate, disputation, argument > putting forward for discussion > put forward [verb (transitive)] > express as theorem theorem1841 1841 T. Carlyle On Heroes i. 41 To attempt theorizing on such matters would profit little: they are matters which refuse to be theoremed and diagramed; which Logic ought to know that she cannot speak of. 1891 G. Meredith One of our Conquerors I. vii. 121 Euclid would have theorem'd it out for you at a glance. This entry has been updated (OED Third Edition, June 2015; most recently modified version published online September 2018). < n.1551v.1841
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theoremn.

Compounds

Derivatives

† theoremv.