CONTENTS. Xlll 



ture of space, 715 ; Generalised conceptions, 717 ; Klein's exposition, 

 718 ; Sophus Lie, 719 ; Theory of numbers, 721 ; Gauss's theory of 

 congruences, 723 ; Generalised conception of number, 726 ; Process of 

 inversion, 727 ; Rummer's ideal numbers, 728 ; Modern algebra, 730 ; 

 Algebraical and transcendental numbers, 730 ; Counting and measuring, 

 732 ; Georg Cantor's theory of the transfinite, 735 ; Correspondence, 

 736 ; Arithmetising tendency in mathematics, 738. 



RETROSPECT AND PROSPECT. 



Order and unity, 742 ; Philosophical problems, 743 ; Individuality, 746 ; 

 Practical interests attaching to Order and Unity, 748 ; The geographical 

 centre of philosophic thought, 750. 



INDEX ......... 753 



