Parker'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only made legally valid by the plentitude of the royal supremacy; for the Edwardine Ordinal, which was used, had been repealed by Mary and not re-enacted by the parliament of 1559 Parker owes his fame to circumstances rather than to personal qualifications.
Also in addition to the cardinal numbers there are the ordinal numbers: the fifth apple and the tenth pear claim thought.
"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.
This relation-number is the ordinal number corresponding to n; let it be symbolized by it.
There are the ordinal numbers 2, 3, 4....
Owing to the correspondence between the finite cardinals and the finite ordinals, the propositions of cardinal arithmetic and ordinal arithmetic correspond point by point.
That 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.
She 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.
The preface to the ordinal (1550) goes farther.
Parker thus was consecrated by a true bishop according to the Edwardine ordinal, i.e.
There is nothing in the Anglican ordinal to show that the Holy Ghost is given for the consecration of a bishop in the Roman sense.
In 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.
Enderlein 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.
There 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.
No ordinal name used in the class has had so many varying meanings given to it by different authors.
This sub-ordinal name has been applied by Enderlein to the " book-lice."
C. Fabricius, who proposed for them the ordinal name of Odonata 11775).
Hence, 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.
Secundus, following, sequi, to follow), next after the first in order, time, rank, &c., more particularly the ordinal number corresponding to two.
It is the only French ordinal in English; the older word was "other," Ger.
The 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).
The 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.
It 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.
The 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.
Denied the Catholicity of the reformed English Church, namely, on the question of the Ordinal drawn up in February 1550.
This 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.
These present special characters usually sufficient for ordinal determination.
Ordinal and Cardinal Numbers 1.2 8.
One 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.
On the whole, the ordinal use is perhaps the more common.
Even 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).
For ordinal purposes we use, as symbols, not only figures, such as I, 2, 3, ...
Figures 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.
Arithmetic 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.
One difference between the treatment of ordinal and of cardinal numbers may be noted.
Where 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.
It 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.
To 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.
It 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.
The 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.
When numbering begins, the names of the successive numbers are attached to the individual objects; thus the numbers are originally ordinal, not cardinal.
In 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.
To see this, we may represent ordinal numbers by the ordinary numerals I, 2, 3,..
Then refer to the individual ordinal stage.
2, and the points must therefore be denoted by the ordinal numbers 1, 2, 3,.
One 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.
Gardiner, 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.
These 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.
Whether 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.
Whales and dolphins being thus demonstrated to be nothing more than highly modified Carnivora, might almost be included in the same ordinal group.