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En Garde, whole no. 16, January 1946
Page 25
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page 25. some in in the mimeography, and I also think I got the idea across. ((If he only knew! --AA)) In the second installment of this article I'm going to discuss the following: The use of extra-dimensional space in mechanics. Ditto in statistical mechanics. Time as a 4th dimension. Infinite-dimensional space (You heard me), and maybe some more if I have time. This will appear in a later En Garde, I hope the next. The material will not depend directly on the details of vector space theory, but you should keep in mind the general ideas, especially (1) the equivalence of an ordered number-group with a vector as far as mathematics is concerned, (2) the close similarity in mathematical treatment of higher dimensions to the treatment of three or fewer dimensions, and (3) the fact that dimension can be rigorously defined. This shoudl not be too much for you to carry over three months. [Decorative line across] QUOTE DEPARTMENT By Donn Brazier Much has been written i our literature of time, therefore the following quotation from Gustaf Stromberg's "The Soul Of The Universe" may be old stuff to you. Perhaps, though, you haven't been introduced to the idea in quite those words. "If a man had no memory, he would probably never arrive at a conception of time. For him there would apparently be only one moment, 'now'. Further, if the world around us were not changing, if man saw the same picture, heard the same sound and had exactly the same sensation and the same emotion all his life, he would have great difficulty in conceiving any sequence of time, since one part of the 'arrow of tie' could not be distinguished from another part." ------- "Every notable advance in technique or organization has to be paid for, and in most cases the debit is more or less equivalent to the credit." Some character in Huxley's Time Must Have A Stop says so, and keeps repeating as if in refrain: ("Backwards and downwards." An example cited to illustrate the point: universal education is teaching everybody to read the billboards! [decorative line across] ^[The End] of four long years of hard work, and...the beginning of another!
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page 25. some in in the mimeography, and I also think I got the idea across. ((If he only knew! --AA)) In the second installment of this article I'm going to discuss the following: The use of extra-dimensional space in mechanics. Ditto in statistical mechanics. Time as a 4th dimension. Infinite-dimensional space (You heard me), and maybe some more if I have time. This will appear in a later En Garde, I hope the next. The material will not depend directly on the details of vector space theory, but you should keep in mind the general ideas, especially (1) the equivalence of an ordered number-group with a vector as far as mathematics is concerned, (2) the close similarity in mathematical treatment of higher dimensions to the treatment of three or fewer dimensions, and (3) the fact that dimension can be rigorously defined. This shoudl not be too much for you to carry over three months. [Decorative line across] QUOTE DEPARTMENT By Donn Brazier Much has been written i our literature of time, therefore the following quotation from Gustaf Stromberg's "The Soul Of The Universe" may be old stuff to you. Perhaps, though, you haven't been introduced to the idea in quite those words. "If a man had no memory, he would probably never arrive at a conception of time. For him there would apparently be only one moment, 'now'. Further, if the world around us were not changing, if man saw the same picture, heard the same sound and had exactly the same sensation and the same emotion all his life, he would have great difficulty in conceiving any sequence of time, since one part of the 'arrow of tie' could not be distinguished from another part." ------- "Every notable advance in technique or organization has to be paid for, and in most cases the debit is more or less equivalent to the credit." Some character in Huxley's Time Must Have A Stop says so, and keeps repeating as if in refrain: ("Backwards and downwards." An example cited to illustrate the point: universal education is teaching everybody to read the billboards! [decorative line across] ^[The End] of four long years of hard work, and...the beginning of another!
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