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ordinal

Ordinal and Cardinal Numbers 1.2 8.

5112C. Fabricius, who proposed for them the ordinal name of Odonata 11775).

2518There is nothing in the Anglican ordinal to show that the Holy Ghost is given for the consecration of a bishop in the Roman sense.

2124The preface to the ordinal (1550) goes farther.

1414then refer to the individual ordinal stage.

128then refer to the individual ordinal stage.

128One difference between the treatment of ordinal and of cardinal numbers may be noted.

1113Instead of distinguishing the days by the ordinal numbers first,, second, third, &c., the Romans counted backwards from three fixed epochs, namely, the Calends, the Nones and the Ides.

98we are regarding the numbers as ordinal, not cardinal.

912It had already been understood that the various genera of the Ratitae were the representatives of so many different groups, each of which was at least equivalent to ordinal rank, and that therefore, if the Ratitae were still to be considered a natural group, this common ancestry must be referred to a remote geological epoch.

87On the whole, the ordinal use is perhaps the more common.

87Gardiner, Banner, Heath, Day and Tunstall were one by one deprived of their sees; a new ordinal simplified the ritual of ordination, and a second Act of Uniformity and Book of Common Prayer (1552) repudiated the Catholic interpretation which had been placed on the first and imposed a stricter conformity to the Protestant faith.

89R and R', x and x', &c. It is evident that the ordinal similarity of two relations implies the cardinal similarity of their fields, but not conversely.

710Enderlein has recently shown that the jaws of the Hemiptera can be recognized in a reduced condition in connexion with the louse's proboscis, the modification is so excessive that the group certainly deserves ordinal separation.

65There are, in addition, various other forms (Seroand Exo-sporidia), also primitive in character, but which are as yet too insufficiently known for it to be certain whether they are of distinct ordinal rank, or should be placed with the Haplosporidia.

65Arithmetic is supposed to deal with cardinal, not with ordinal numbers; but it will be found that actual numeration, beyond about three or four, is based on the ordinal aspect of number, and that a scientific treatment of the subject usually requires a return to this fundamental basis.

66Where a number is expressed in terms of various denominations, a cardinal number usually begins with the largest denomination, and an ordinal number with the smallest.

66It is therefore remarkable that it should now only be used for ordinal purposes, while the Hindu system, which is ordinal in its nature, since a single series is constantly repeated, is used almost exclusively for cardinal numbers.

66Also in addition to the cardinal numbers there are the ordinal numbers: the fifth apple and the tenth pear claim thought.

69No ordinal name used in the class has had so many varying meanings given to it by different authors.

69One of the primary distinctions in the use of number is between ordinal and cardinal numbers, or rather between the ordinal and the cardinal aspects of number.

54In using an ordinal we direct our attention to a term of a series, while in using a cardinal we direct our attention to the interval between two terms. The total number in the series is the sum of the two cardinal numbers obtained by counting up to any interval from the beginning and from the end respectively; but if we take the ordinal numbers from the beginning and from the end we count one term twice over.

55The points of the compass might similarly be expressed by numbers in a binary scale; but the numbers would be ordinal, and the expressions would be analogous to those of decimals rather than to those of whole numbers.

57Parker's consecration was, however, only made legally valid by the plentitude of the royal supremacy; for the Edwardine Ordinal, which was used, had been repealed by Mary and not re-enacted by the parliament of 1559 Parker owes his fame to circumstances rather than to personal qualifications.

58there are the ordinal numbers 2, 3, 4....

58The ordinal number is the class whose sole member is the null relation - that is, the relation which never holds between any pair of entities.

58Figures and letters may even be used in combination; thus 16 may be followed by 16a and 16b, and these by 17, and in such a case the ordinal i oo does not correspond with the total (cardinal) number up to this point.

58To see this, we may represent ordinal numbers by the ordinary numerals I, 2, 3,..

43When numbering begins, the names of the successive numbers are attached to the individual objects; thus the numbers are originally ordinal, not cardinal.

442, and the points must therefore be denoted by the ordinal numbers 1, 2, 3,.

46This relation-number is the ordinal number corresponding to n; let it be symbolized by it.

47The definition of the ordinal number requires some little ingenuity owing to the fact that no serial relation can have a field whose cardinal number is 1; but we must omit here the explanation of the process.

47Parker thus was consecrated by a true bishop according to the Edwardine ordinal, i.e.

47The last of these was that of Louis Agassiz (1807-1873), who, whilst surveying all previous classifications, propounded a scheme of his own (Essay on Classification, 1859), in which, as well as in the criticisms he applies to other systems, the leading notion is that sub-kingdoms, classes, orders and families have a real existence, and that it is possible to ascertain and distinguish characters which are of class value, others which are cnly of ordinal value, and so on; so that the classes of one sub-kingdom should on paper, and in nature actually do, correspond in relative value to those of another sub-kingdom, and the orders of any one class similarly should be so taken as to be of equal value with those of another class, and have been actually so created.

47Hence, Knowing Which Of The Years Are Embolismic, From Their Ordinal Position In The Cycle, According To The Rule Before Stated, The Times Of The Commencement Of Successive Years May Be Thus Carried On Indefinitely Without Any Difficulty.

47Herein remains, attributed to no fewer than a score of species, which were referred to eight different genera, are fully described and sufficiently illustrated, and, instead of the ordinal name Ichthyornithes previously used, that of Odontotormae was proposed.

48In short, the English reformers knew very well that the ordinal and communion office which they drew up could not satisfy the requirements of medieval theology.

36secundus, following, sequi, to follow), next after the first in order, time, rank, &c., more particularly the ordinal number corresponding to two.

36The ordinal was not attached to this Prayer Book at its first appearance, but it was added under another act of parliament in the following year, 1550.

36It was very similar to the present ordinal except that the words " for the office and work of a Priest in the Church of God, now committed unto thee by the Imposition of our hands " were wanting, and the chalice or cup with the bread were delivered, as well as a Bible, to each newly-ordained priest.

36denied the Catholicity of the reformed English Church, namely, on the question of the Ordinal drawn up in February 1550.

36These present special characters usually sufficient for ordinal determination.

36"The first rose of summer" and "the last rose of summer" are parallel phrases, yet one explicitly introduces an ordinal number and the other does not.

37The following is a bibliography of Westcott's more important writings, giving the date of the first editions: - Elements of the Gospel Harmony (1851); History of the Canon of First Four Centuries (1853); Characteristics of Gospel Miracles (1859); Introduction to the Study of the Gospels (1860); The Bible in the Church (1864); The Gospel of the Resurrection (1866); Christian Life Manifold and One (1869); Some Points in the Religious Life of the Universities (1873); Paragraph Psalter for the Use of Choirs (1879); Commentary on the Gospel of St John (1881); Commentary on the Epistles of St John (1883); Revelation of the Risen Lord (1882); Revelation of the Father (1884); Some Thoughts from the Ordinal (1884); Christus Consummator (1886); Social Aspects of Christianity (1887); The Victory of the Cross: Sermons in Holy Week (1888); Commentary on the Epistle to the Hebrews (1889); From Strength to Strength (1890); Gospel of Life (1892); The Incarnation and Common Life (1893); Some Lessons of the Revised Version of the New Testament (1897); Christian Aspects of Life (1897); Lessons from Work (1901).

37"The first rose of summer" and "the last rose of summer" are parallel phrases, yet one explicitly introduces an ordinal number and the other does not.

37The following is a bibliography of Westcott's more important writings, giving the date of the first editions: - Elements of the Gospel Harmony (1851); History of the Canon of First Four Centuries (1853); Characteristics of Gospel Miracles (1859); Introduction to the Study of the Gospels (1860); The Bible in the Church (1864); The Gospel of the Resurrection (1866); Christian Life Manifold and One (1869); Some Points in the Religious Life of the Universities (1873); Paragraph Psalter for the Use of Choirs (1879); Commentary on the Gospel of St John (1881); Commentary on the Epistles of St John (1883); Revelation of the Risen Lord (1882); Revelation of the Father (1884); Some Thoughts from the Ordinal (1884); Christus Consummator (1886); Social Aspects of Christianity (1887); The Victory of the Cross: Sermons in Holy Week (1888); Commentary on the Epistle to the Hebrews (1889); From Strength to Strength (1890); Gospel of Life (1892); The Incarnation and Common Life (1893); Some Lessons of the Revised Version of the New Testament (1897); Christian Aspects of Life (1897); Lessons from Work (1901).

37One number is less or greater than another, according as the symbol (or ordinal) of the former comes earlier or later than that of the latter in the number-series.

24That first discovered is known as Burali-Forti's contradiction,' and consists in the proof that there both is and is not a greatest infinite ordinal number.

25she defines the church, without any express reference to the episcopate, as a " congregation of faithful men in which the pure word of God is preached and the sacraments be duly administered according to Christ's ordinance," and simply adds that the ordinal of Edward VI.

25The ordinal name for the genera and species of Amphioxus is Cephalochorda, the term referring to the extension of the primary backbone or notochord to the anterior extremity of the body; the family name is Branchiostomidae.

25A general uniformity of the trunk-limbs in Isopoda justifies the ordinal name, but the valviferous Astacillidae, and among the Asellota the Munnopsidae, offer some remarkable exceptions to this characteristic. Among many essential works on this group may be named the Monogr.

25This led to a prolonged controversy; Hooper had already denounced the "Aaronic vestments" and the oath by the saints prescribed in the new Ordinal; and he refused to be consecrated according to its rites.

25are ordinal numbers.

25Even in commercial transactions, in dealing with sums of money, the statement of an amount often has reference to the last item added rather than to a total; and geometrical measurements are practically ordinal (§ 26).

25It might appear as if the writing of 1876 was an exception to this rule; but in reality 1876, when used in this way, is partly cardinal and partly ordinal, the first three figures being cardinal and the last ordinal.

25To make the year completely ordinal, we should have to describe it as the 6th year of the 8th decade of the 9 th century of the 2nd millennium; i.e.

25In reality there is a transition from a cardinal to an ordinal system, but to an ordinal system which does not agree with the original ordinal system from which the cardinal system was derived.

25Whether the extinct Tillodontia are most nearly allied to the Rodentia, the Carnivora or the Ungulata, and whether they are really entitled to constitute an ordinal group by themselves, must remain for the present open questions.

13Whales and dolphins being thus demonstrated to be nothing more than highly modified Carnivora, might almost be included in the same ordinal group.

13For ordinal purposes we use, as symbols, not only figures, such as I, 2, 3, ...

14These relation-numbers are the infinite ordinal numbers.

00This ancient idea of the diaconate, ignored in the Roman Pontifical, has been restored in the English ordinal.

00Roman authorities have from the beginning and throughout consistently repudiated orders given according to the Edwardine ordinal.

00Puller, The Bull Apostolicae Curae and the Edwardine Ordinal.

00Y is represented by the length of the ordinate NP, so that the representation is cardinal; but this ordinate really corresponds to the point N, so that the representation of X is ordinal.

00Was nice to see them, had the usual Gaffer surreal conversations from giant flowerpots to ordinal numbers... !

00Whilst I took Nanna home, she did some maths of some sort - ordinal numbers apparently from Singapore maths 1a thinking skills.

00Since there is an infinite ordinal, every finite ordinal is a set and the first infinite ordinal ω is a set.

00Since there is an infinite ordinal, every finite ordinal is a set and the first infinite ordinal ω is a set.

00ordinal logistic regression was performed to identify potential predictors of hypoglycaemia.

00ordinal logics rested on the idea of the transfinite.

00ordinal scales.

00ordinal position within the month.

00ordinal variable ranging from none through higher.

00ordinal numbers express the second context of the order.

00With the latter, however, they share the idea that only ordinal non-comparable information should be retained about individual preferences.

00It basically revolves round the set of all ordinal numbers.

00Haliday (1836), who made a careful study of the British species and recognized that their structural peculiarities required ordinal separation.

00Parker's consecration was, however, only made legally valid by the plentitude of the royal supremacy; for the Edwardine Ordinal, which was used, had been repealed by Mary and not re-enacted by the parliament of 1559 Parker owes his fame to circumstances rather than to personal qualifications.

00Herein remains, attributed to no fewer than a score of species, which were referred to eight different genera, are fully described and sufficiently illustrated, and, instead of the ordinal name Ichthyornithes previously used, that of Odontotormae was proposed.

00It had already been understood that the various genera of the Ratitae were the representatives of so many different groups, each of which was at least equivalent to ordinal rank, and that therefore, if the Ratitae were still to be considered a natural group, this common ancestry must be referred to a remote geological epoch.

00Also in addition to the cardinal numbers there are the ordinal numbers: the fifth apple and the tenth pear claim thought.

00R and R', x and x', &c. It is evident that the ordinal similarity of two relations implies the cardinal similarity of their fields, but not conversely.

00This relation-number is the ordinal number corresponding to n; let it be symbolized by it.

00there are the ordinal numbers 2, 3, 4....

00The definition of the ordinal number requires some little ingenuity owing to the fact that no serial relation can have a field whose cardinal number is 1; but we must omit here the explanation of the process.

00The ordinal number is the class whose sole member is the null relation - that is, the relation which never holds between any pair of entities.

00Owing to the correspondence between the finite cardinals and the finite ordinals, the propositions of cardinal arithmetic and ordinal arithmetic correspond point by point.

00These relation-numbers are the infinite ordinal numbers.

00That first discovered is known as Burali-Forti's contradiction,' and consists in the proof that there both is and is not a greatest infinite ordinal number.

00This ancient idea of the diaconate, ignored in the Roman Pontifical, has been restored in the English ordinal.

00she defines the church, without any express reference to the episcopate, as a " congregation of faithful men in which the pure word of God is preached and the sacraments be duly administered according to Christ's ordinance," and simply adds that the ordinal of Edward VI.

00The preface to the ordinal (1550) goes farther.

00Parker thus was consecrated by a true bishop according to the Edwardine ordinal, i.e.

00Roman authorities have from the beginning and throughout consistently repudiated orders given according to the Edwardine ordinal.

00There is nothing in the Anglican ordinal to show that the Holy Ghost is given for the consecration of a bishop in the Roman sense.

00In short, the English reformers knew very well that the ordinal and communion office which they drew up could not satisfy the requirements of medieval theology.

00Puller, The Bull Apostolicae Curae and the Edwardine Ordinal.

00The difficulty first arises in elementary mensuration, where it is partly met by associating arithmetical and geometrical measurement with the cardinal and the ordinal aspects of number respectively (see Arithmetic).

00Y is represented by the length of the ordinate NP, so that the representation is cardinal; but this ordinate really corresponds to the point N, so that the representation of X is ordinal.

00The last of these was that of Louis Agassiz (1807-1873), who, whilst surveying all previous classifications, propounded a scheme of his own (Essay on Classification, 1859), in which, as well as in the criticisms he applies to other systems, the leading notion is that sub-kingdoms, classes, orders and families have a real existence, and that it is possible to ascertain and distinguish characters which are of class value, others which are cnly of ordinal value, and so on; so that the classes of one sub-kingdom should on paper, and in nature actually do, correspond in relative value to those of another sub-kingdom, and the orders of any one class similarly should be so taken as to be of equal value with those of another class, and have been actually so created.

00Enderlein has recently shown that the jaws of the Hemiptera can be recognized in a reduced condition in connexion with the louse's proboscis, the modification is so excessive that the group certainly deserves ordinal separation.

00There are, in addition, various other forms (Seroand Exo-sporidia), also primitive in character, but which are as yet too insufficiently known for it to be certain whether they are of distinct ordinal rank, or should be placed with the Haplosporidia.

00No ordinal name used in the class has had so many varying meanings given to it by different authors.

00C. Fabricius, who proposed for them the ordinal name of Odonata 11775).

00Instead of distinguishing the days by the ordinal numbers first,, second, third, &c., the Romans counted backwards from three fixed epochs, namely, the Calends, the Nones and the Ides.

00Hence, Knowing Which Of The Years Are Embolismic, From Their Ordinal Position In The Cycle, According To The Rule Before Stated, The Times Of The Commencement Of Successive Years May Be Thus Carried On Indefinitely Without Any Difficulty.

00secundus, following, sequi, to follow), next after the first in order, time, rank, &c., more particularly the ordinal number corresponding to two.

00It is the only French ordinal in English; the older word was "other," Ger.

00The ordinal was not attached to this Prayer Book at its first appearance, but it was added under another act of parliament in the following year, 1550.

00It was very similar to the present ordinal except that the words " for the office and work of a Priest in the Church of God, now committed unto thee by the Imposition of our hands " were wanting, and the chalice or cup with the bread were delivered, as well as a Bible, to each newly-ordained priest.

00The ordinal name for the genera and species of Amphioxus is Cephalochorda, the term referring to the extension of the primary backbone or notochord to the anterior extremity of the body; the family name is Branchiostomidae.

00A general uniformity of the trunk-limbs in Isopoda justifies the ordinal name, but the valviferous Astacillidae, and among the Asellota the Munnopsidae, offer some remarkable exceptions to this characteristic. Among many essential works on this group may be named the Monogr.

00denied the Catholicity of the reformed English Church, namely, on the question of the Ordinal drawn up in February 1550.

00This led to a prolonged controversy; Hooper had already denounced the "Aaronic vestments" and the oath by the saints prescribed in the new Ordinal; and he refused to be consecrated according to its rites.

00These present special characters usually sufficient for ordinal determination.

00Ordinal and Cardinal Numbers 1.2 8.

00One of the primary distinctions in the use of number is between ordinal and cardinal numbers, or rather between the ordinal and the cardinal aspects of number.

00are ordinal numbers.

00On the whole, the ordinal use is perhaps the more common.

00Even in commercial transactions, in dealing with sums of money, the statement of an amount often has reference to the last item added rather than to a total; and geometrical measurements are practically ordinal (§ 26).

00For ordinal purposes we use, as symbols, not only figures, such as I, 2, 3, ...

00Figures and letters may even be used in combination; thus 16 may be followed by 16a and 16b, and these by 17, and in such a case the ordinal i oo does not correspond with the total (cardinal) number up to this point.

00Arithmetic is supposed to deal with cardinal, not with ordinal numbers; but it will be found that actual numeration, beyond about three or four, is based on the ordinal aspect of number, and that a scientific treatment of the subject usually requires a return to this fundamental basis.

00One difference between the treatment of ordinal and of cardinal numbers may be noted.

00Where a number is expressed in terms of various denominations, a cardinal number usually begins with the largest denomination, and an ordinal number with the smallest.

00It might appear as if the writing of 1876 was an exception to this rule; but in reality 1876, when used in this way, is partly cardinal and partly ordinal, the first three figures being cardinal and the last ordinal.

00To make the year completely ordinal, we should have to describe it as the 6th year of the 8th decade of the 9 th century of the 2nd millennium; i.e.

00In using an ordinal we direct our attention to a term of a series, while in using a cardinal we direct our attention to the interval between two terms. The total number in the series is the sum of the two cardinal numbers obtained by counting up to any interval from the beginning and from the end respectively; but if we take the ordinal numbers from the beginning and from the end we count one term twice over.

00It is therefore remarkable that it should now only be used for ordinal purposes, while the Hindu system, which is ordinal in its nature, since a single series is constantly repeated, is used almost exclusively for cardinal numbers.

00The points of the compass might similarly be expressed by numbers in a binary scale; but the numbers would be ordinal, and the expressions would be analogous to those of decimals rather than to those of whole numbers.

00When numbering begins, the names of the successive numbers are attached to the individual objects; thus the numbers are originally ordinal, not cardinal.

00In reality there is a transition from a cardinal to an ordinal system, but to an ordinal system which does not agree with the original ordinal system from which the cardinal system was derived.

00To see this, we may represent ordinal numbers by the ordinary numerals I, 2, 3,..

002, and the points must therefore be denoted by the ordinal numbers 1, 2, 3,.

00One number is less or greater than another, according as the symbol (or ordinal) of the former comes earlier or later than that of the latter in the number-series.

00we are regarding the numbers as ordinal, not cardinal.

00Gardiner, Banner, Heath, Day and Tunstall were one by one deprived of their sees; a new ordinal simplified the ritual of ordination, and a second Act of Uniformity and Book of Common Prayer (1552) repudiated the Catholic interpretation which had been placed on the first and imposed a stricter conformity to the Protestant faith.

00These three classes are the Monotremata (or Prototheria), the Marsupialia (Didelphia, or Metatheria), and the Placentalia (Monodelphia, or Eutheria); the distinctive characters of each being given in separate articles (see Mono Tremata, Marsupialia and Monodelphia.) The existing monotremes and marsupials are each represented only by a single order; but the placentals are divided into the following ordinal and subordinal groups, those which are extinct being marked with an asterisk (*) i.

00Whether the extinct Tillodontia are most nearly allied to the Rodentia, the Carnivora or the Ungulata, and whether they are really entitled to constitute an ordinal group by themselves, must remain for the present open questions.

00Whales and dolphins being thus demonstrated to be nothing more than highly modified Carnivora, might almost be included in the same ordinal group.

00The functions of the office are defined in the Ordinal - "to assist the priest in divine service and specially when he ministereth the Holy Communion, to read Holy Scriptures and Homilies in the church, to instruct the youth in the catechism, to baptize in the absence of the priest, to preach if he be admitted thereto by the bishop, and furthermore to search for the sick, poor and impotent people and intimate their estates and names to the curate."

00It basically revolves round the set of all ordinal numbers.

00The existential quantifier argument will work if the ordinal stage at which the model is being constructed is a weakly compact cardinal.

00Birth order research focuses on five ordinal birth positions: firstborn, secondborn, middle, last, and only children.

00The easiest way to remember what ordinal numbers are is to remember that 'ordinal' refers to what 'order' you are in.

00Therefore, ordinal numbers describe the order of something.

00Note: To make an ordinal number add the suffix -ième.

00Ordinal numbers are always positioned before the noun as opposed to afterwards.

00In addition to ordinal position, there may come a point where you'll want to use the idea of first and last.

00

The word usage examples above have been gathered from various sources to reflect current and historial usage. They do not represent the opinions of YourDictionary.com.