On the Principles of English University EducationJohn W. Parker, 1837 - 186페이지 |
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16 페이지
... definitions and axioms , we learn a lesson respecting the kind of mathematics which we may most advan- tageously introduce in our education . For since those clear ideas upon which the several mathematical sci- ences depend are a ...
... definitions and axioms , we learn a lesson respecting the kind of mathematics which we may most advan- tageously introduce in our education . For since those clear ideas upon which the several mathematical sci- ences depend are a ...
148 페이지
... definitions , without any corresponding act of the mind : —or if its first principles be represented as borrowed from experience , in such a manner that the whole science is empirical only ; or if it be held forth as the highest ...
... definitions , without any corresponding act of the mind : —or if its first principles be represented as borrowed from experience , in such a manner that the whole science is empirical only ; or if it be held forth as the highest ...
150 페이지
... definitions , without any corresponding act of the mind . " I will give several ex- amples where this has been done ... definitions . It has been asserted by some that they result from definitions alone ; and that on this circumstance ...
... definitions , without any corresponding act of the mind . " I will give several ex- amples where this has been done ... definitions . It has been asserted by some that they result from definitions alone ; and that on this circumstance ...
151 페이지
... definitions alone - it must be allowed , I think , that still our geometrical propositions would pro- perly depend , not on the definitions , but on the act of mind by which we fix upon such definitions ; in short , on our conception of ...
... definitions alone - it must be allowed , I think , that still our geometrical propositions would pro- perly depend , not on the definitions , but on the act of mind by which we fix upon such definitions ; in short , on our conception of ...
152 페이지
... definitions . The founda- tion of all the properties of straight lines is certainly not the definition , but the conception of a straight line ; and in the same manner the foundation of all geometrical truth resides in our general ...
... definitions . The founda- tion of all the properties of straight lines is certainly not the definition , but the conception of a straight line ; and in the same manner the foundation of all geometrical truth resides in our general ...
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academic degree academic dress acquired ancient appear apply Archimedes attendance authors axioms beneficial body Calculus character civilisation classical College lectures College punishments College system conceive conception considered course cultivation culture curve definitions demonstration depends Differential Calculus direct teaching discipline distinct doctrines effect English Universities Engravings Euclid examinations exercise familiar feel Fellows force fundamental ideas geometry give grammar Greek habits HISTORY Hydrostatics Inductive Reason institutions instruction intellectual kind KING'S COLLEGE SCHOOL knowledge language lative liberal education limit literature manner mathe mathematical studies matics matter means mechanical mental mind mode morals nations nature object Octavo peculiar persons philosophy Plato practical teaching present principles private tutors Professor progress pupils purpose question racter reasoning reference require requisite respect RICHARD MANT rules SECT speculative teaching spirit student study of mathematics supposed taught teachers thought tical tion Trinity College truth University of Cambridge WILLIAM WHEWELL young
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