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" Whatever equivalent form is discoverable in arithmetical algebra considered as the science of suggestion, when the symbols are general in their form, though specific in their value, will continue to be an equivalent form when the symbols are general in... "
Report of the Annual Meeting - Page 199
de British Association for the Advancement of Science - 1834
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A Treatise on Algebra

George Peacock - 1830 - 732 pages
...symbols are general in form though specific in their nature, the same must be an equivalent form, token the symbols are general in their nature as well as in their form. and proved. The direct proposition must be true, since the laws of the combinations of symbols by which...
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Report of the ... Meeting of the British Association for the ..., Volume 3

British Association for the Advancement of Science - 1834 - 564 pages
...suggestion, when the symbols are general in their form, though specific in their value, will continue to be an equivalent form when the symbols are general in their nature as well as in their form *. The direct proposition must be true, since the laws of combination of symbols by which such equivalent...
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The Quarterly Journal of Education, Volume 9

1835 - 402 pages
...subordinate science, when the symbols are general in form though specific in their nature, the same must be an equivalent form when the symbols are general in their nature as well as in their form.' Now, we think that we here discover the traces of the method by which the mind of the author was led...
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Pamphlets on Railways: Together with Miscellaneous Reprints

1841 - 280 pages
...general, in which these terms and factors must appear. Hence therefore the first law does not prove that " If there be an equivalent form when the symbols are general in form and in their nature also, it must coincide with the form discovered in the subordinate science,...
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Lectures on the Principles of Demonstrative Mathematics

Philip Kelland - 1843 - 168 pages
...though specific in their nature, the same " Peacock's Alg. p, 167. f Kelland's Algebra, p. 261, must be an equivalent form when the symbols are general in their nature as well as in their form."* Now, I see easily enough how to make use of this principle in effecting a transition from arithmetical...
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MathAnnalen, Volumes 61 à 70

Alfred Clebsch, Carl Neumann, Felix Klein, Adolph Mayer, David Hilbert, Otto Blumenthal, Albert Einstein, Constantin Carathéodory, Erich Hecke, Bartel Leendert Waerden, Heinrich Behnke - 1911 - 622 pages
...Suggestion, when the Symbols are general in their form, though specific in their value, will continue to be an equivalent form when the Symbols are general in their nature äs well äs in their form." Natürlich müßte man bei dem ersten Satze hinzufügen: vorausgesetzt,...
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Frege in Jena: Beiträge zur Spurensicherung

Gottfried Gabriel, Wolfgang Kienzler - 1997 - 174 pages
...Suggestion, when the Symbols are general in their form, though specific in their value, will continue to be an equivalent form when the Symbols are general in their nature äs well äs in their form." 32Hankel, Theorie der complexen Zahlensysteme, S. 15, mit Bezug auf Ohm,...
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From Kant to Hilbert Volume 1: A Source Book in the Foundations of Mathematics

William Bragg Ewald - 2005 - 696 pages
...symbols are general in their form, though specific in their value, will cominue to be an equivalem form when the symbols are general in their nature as well as in their form (Peacock 1833, pp. 198-9). (Roughly speaking, in modern terminology an 'equivalent form' is an equation;...
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A Boole Anthology: Recent and Classical Studies in the Logic of George Boole

James Gasser - 2000 - 374 pages
...suggestion, when the symbols are general in their form, though specific in their value, will continue to be an equivalent form when the symbols are general in their nature as well as their form. (Peacock 1833, 194) All the difficulty of Peacock's thought is contained in this double...
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Around Caspar Wessel and the Geometric Representation of Complex Numbers ...

Jesper Lützen - 2001 - 306 pages
...suggestion, when the symbols are general in their form, though specific in their value, will continue to be an equivalent form when the symbols are general in their nature as well as in their form." [Peacock 1830, 104] represent a time-step in the opposite direction to that of a positive number. However,...
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