This historic book may have numerous typos, missing text, images, or index. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. 1922. Not illustrated. Excerpt: ... MATHEMATICAL PHILOSOPHY LECTURE I Introduction INTELLECTUAL FREEDOM AND LOGICAL FATE--MATHEMATICAL OBLIGATIONS OF PHILOSOPHY AND EDUCATION COMMON HUMANITY AND INDIVIDUALITY HUMANISTIC AND INDUSTRIAL EDUCATION MAN NOT AN ANIMAL ETHICS NOT A BRANCH OF ZO- OLOGY EXCELLENCE AND THE MUSES LOGIC THE MUSE OF THOUGHT THE HEROIC TRADITION IN PHILOSOPHY RADIANT ASPECTS OF AN OVER-WORLD It is the aim of the following lectures to point out, in a manner suitable for you as students of Thought, and to submit for your consideration, some of the more essential and more significant relations between Mathematics and Philosophy. Each of these great terms is to be understood in its most embracing sense. Mathematicians sometimes speak contemptuously of philosophy; and philosophers sometimes speak contemptuously of mathematics. The contempt thus manifested does not spring from mathematics in the former case, nor from philosophy in the latter; in both cases it springs out of ignorance--philosophical ignorance of mathematicians and mathematical.ignorance of philosophers. No doubt philosophically 'unenlightened mathematicians and mathematically fiindnlightened philosophers will quarrel in the '-future as in the past; but in the future as in the past, -"-the quarreling and the sneering will be the quarreling and sneering of men and not of the great subjects they represent and misrepresent; for between the spirit of mathematics and the spirit of philosophy there is no discord, no antagonism, no strife; they are by their natures friendly rivals in the pursuit of truth and light; they are companions in excellence; they are comrades in the service of wisdom. I have said that the "aim" of these lectures is to disclose fundamental connections between mathematics and philosophy. What I...
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