_Die Mathematik die Fackelträgerin einer neuen Zeit (Stuttgart, 1889), p. 5._ =1205.= Would it sound too presumptuous to speak of perception as a quintessence of sensation, language (that is, communicable thought) of perception, mathematics of language? We should then have four terms differentiating from inorganic matter and from each other the Vegetable, Animal, Rational, and Super-sensual modes of existence.--SYLVESTER, J. J. _Presidential Address, British Association; Collected Mathematical Papers, Vol. 2, p. 652._ =1206.= Little could Plato have imagined, when, indulging his instinctive love of the true and beautiful for their own sakes, he entered upon these refined speculations and revelled in a world of his own creation, that he was writing the grammar of the language in which it would be demonstrated in after ages that the pages of the universe are written.--SYLVESTER, J. J. _A Probationary Lecture on Geometry; Collected Mathematical Papers, Vol. 2, p. 7._ =1207.= It is the symbolic language of mathematics only which has yet proved sufficiently accurate and comprehensive to demand familiarity with this conception of an inverse process. --VENN, JOHN. _Symbolic Logic (London and New York, 1894), p. 74._ =1208.= Without this language [mathematics] most of the intimate analogies of things would have remained forever unknown to us; and we should forever have been ignorant of the internal harmony of the world, which is the only true objective reality.... This harmony ... is the sole objective reality, the only truth we can attain; and when I add that the universal harmony of the world is the source of all beauty, it will be understood what price we should attach to the slow and difficult progress which little by little enables us to know it better.--POINCARÉ, H. _The Value of Science [Halsted] Popular Science Monthly, 1906, pp. 195-196._