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.
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.
Parker thus was consecrated by a true bishop according to the Edwardine ordinal, i.e.
This sub-ordinal name has been applied by Enderlein to the " book-lice."
For ordinal purposes we use, as symbols, not only figures, such as I, 2, 3, ...
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.
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.
To see this, we may represent ordinal numbers by the ordinary numerals I, 2, 3,..
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.
"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....
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.
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.
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.
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).
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.
One difference between the treatment of ordinal and of cardinal numbers may be noted.
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.
When numbering begins, the names of the successive numbers are attached to the individual objects; thus the numbers are originally ordinal, not cardinal.