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on of time as the classic devices of sciences.--The nature of invariance. The ages-old problem of permanence and change. The quest of what abides in a fluctuant world as the binding thread of human history. The tie of comradeship among the enterprises of human spirit.--The concept of a group. The notion simply exemplified in many fields, is "Mind" a group. The philosophy of the cosmic year.--Limits and limit processes omnipresent as ideals and idealization, in all thought and human aspiration. Ideals the flint of reality.--Mathematical infinity, its dynamic and static aspects. Need of history of the Imperious concept. The role of infinity in a mighty poem.--Meaning of dimensionality. Distinction of imagination and conception. Logical existence and sensuous existence. Open avenues to unimaginable worlds.--The theory of logical types. A supreme application of it to definition of man, and the science of human welfare.--The psychology of mathematics and the mathematics of psychology. Both of them in their infancy. Consequent retardation of science. The symmetry of thought. The asymmetry of imagination.--Science and engineering. Science as engineering in preparation. Engineering as science in action. Mathematics the guide of the engineer. Engineering the guide of humanity. Humanity the civilizing or Time-Binding class of life. Qualities essential to engineering leadership. The ethics of the art. The engineer as educator, as scientist, as philosopher, as psychologist, as economist, as statesman, as mathematical thinker--as a Man. Appendix II. Biology And Time-Binding The life of one man is short, and to very few is it given to achieve much in their lifetime. Extensive achievements are made almost entirely by many men taking up the work done by a discoverer. In such a case, we arrive at a _complete_ "truth," not by the production of one man but by a chain of men, but the initial discovery not only has to be produced but correctly defined before it can be used and that is the important point to be made. What we do not realize is the tremendous amount of mental work that is lost by an incorrect use of words. Human thought--that unique, subtle and yet most energetic phenomenon of nature--is in the main wantonly wasted, because we do not use, or take pains to use, suitable language; at the same time, false definitions lead to consequences not merely wasteful but positively harmful. When ideas and facts are falsely def
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