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It is often said to-day that mathematics is nothing but an extension or development of logic; indeed, the identity of logic and pure mathematics is alleged so confidently by persons whose mathematical attainments entitle them to consideration when they talk about the subject-matter of mathematics, as to be in danger of being ranked with the truths that an educated man should accept on the authority of the specialist. Yet a little reflection might at least make one hesitate. For whatever else may be said about logic, it is generally allowed to study thinking. Some would say merely that it studies inference; but inference is thinking. Now the mathematician thinks and infers, but he does not study the activity of thinking and inferring; and a study of that activity would never make the discoveries credited to the mathematicians.
At first sight it may seem as if Imagination can easily be characterized as a continuous process of having images; but this is very soon found to be inadequate and misleading. On the one hand we have a great number of good witnesses who insist that in their best imaginative work they have made use of no images, or of very few; and on the other, everybody makes distinction between flights of fancy, for example, which certainly involve successions of images, and true imagination. Perhaps a better method of approach is found when we examine how the material dealt with in the imaginative process is built together. In the flight of fancy image follows image, and the transition from one to the next seems to be determined by something in the nature of each individual step of the whole chain, or by each individual act of imaging. Thus the train as a whole is very apt, to the outsider, to appear jerky, ill-connected,
THE word “ Organicism,” although it may seem unfamiliar to the younger generation of biologists, is not a new one, and has been heard of already in that shadowy limbo where philosophical and biological conceptions meet on common ground. The genius of its original minting is not known, but it figured largely in the great work of Yves Delage, the French zoologist, in which he attempted to survey and criticize every important biological theory which had ever been seriously produced. Hisl'Hérédité et les grands Problèmes de la Biologie appeared in 1903, and in it he classified all biological theories, past, present, and future, under the four heads of
Readers of the Journal may know little of Melchior Palágyi (pronounced Pallargee) (1860–1924). Even on the Continent his work has been very inadequately recognized. It is not that he has written little: he published some books and many articles during his lifetime, in German as well as in Magyar, and since his death, Barth of Leipzig has issued an edition of his selected works, including his most important contribution, Naturphilosophische Vorlesungen, also the Wahrnehmungslehre and Zur Weltmechanik. He has many enthusiastic admirers, and those who care to look up the Preussische Jahrbücher, March 1926, will find there a most informative and highly appreciative article on his general philosophy by Werner Deubel, who in the same journal, some two years previously (October 1924), discussed the work of a kindred spirit, Ludwig Klages. It was Deubel's article that first roused my interest in Palágyi and led me to study his more important writings.