_A Plea for the Mathematician, Nature, 1, p. 262; Collected Mathematical Papers (Cambridge, 1908), 2, p. 659._ =302.= It may well be doubted whether, in all the range of Science, there is any field so fascinating to the explorer--so rich in hidden treasures--so fruitful in delightful surprises--as that of Pure Mathematics. The charm lies chiefly ... in the absolute _certainty_ of its results: for that is what, beyond all mental treasures, the human intellect craves for. Let us only be sure of _something_! More light, more light! Ἐν δὲ φάει καὶ ὀλέεσσον “And if our fate be death, give light and let us die!” This is the cry that, through all the ages, is going up from perplexed Humanity, and Science has little else to offer, that will really meet the demands of its votaries, than the conclusions of Pure Mathematics. --DODGSON, C. L. _A New Theory of Parallels (London, 1895), Introduction._ =303.= In every case the awakening touch has been the mathematical spirit, the attempt to count, to measure, or to calculate. What to the poet or the seer may appear to be the very death of all his poetry and all his visions--the cold touch of the calculating mind,--this has proved to be the spell by which knowledge has been born, by which new sciences have been created, and hundreds of definite problems put before the minds and into the hands of diligent students. It is the geometrical figure, the dry algebraical formula, which transforms the vague reasoning of the philosopher into a tangible and manageable conception; which represents, though it does not fully describe, which corresponds to, though it does not explain, the things and processes of nature: this clothes the fruitful, but otherwise indefinite, ideas in such a form that the strict logical methods of thought can be applied, that the human mind can in its inner chamber evolve a train of reasoning the result of which corresponds to the phenomena of the outer world.--MERZ, J. T. _A History of European Thought in the Nineteenth Century (Edinburgh and London, 1904), Vol. 1, p. 314._ =304.= Mathematics ... the ideal and norm of all careful thinking.--HALL, G. STANLEY. _Educational Problems (New York, 1911), p. 393._ =305.= Mathematics is the only true metaphysics. --THOMSON, W. (LORD KELVIN). _Thompson, S. P.: Life of Lord Kelvin (London, 1910), p. 10._ =306.= He who knows not mathematics and the results of recent scientific investigation dies without knowing _truth_. --SCHELLBACH, C. H.