Lectures on fundamental concepts of algebra and geometry (1911)
Young, John Wesley, 1879-1932, Denton, William Wells, Mitchell, Ulysses Grant · New York : Macmillan · leaf 75
f classis furnished by the class of all positive integers. It isreadily seen how the latter class may be put into one-to^necorrespondence with the class of all even positive integers,by writing the classes as follows: — 1, 2, 3, 4, 6, 6, 7, 8, 9, 10, 11,.... I i I I I i I I I I I 2, 4, 6, 8, 10,… … Fio. 8 LECTURE VI 63 of aU positive integers therefore has the same cardinal num-ber as the class of all even positive integers, and the latteris only a part of the former. Infinite Classes. — We have thus seen two examples ofclasses — viz., the class of all points on a line segment,and the class…
Algebra · Geometry
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