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" Most, if not all, of the great ideas of modern mathematics have had their origin in observation. Take, for instance, the arithmetical theory of forms, of which the foundation was laid in the diophantine theorems of... "
Lectures on the Philosophy of Mathematics - Side 169
av James Byrnie Shaw - 1918 - 206 sider
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Monthly Journal of Science, and Annals of Biology, Astronomy ..., Volum 6

James Samuelson, William Crookes - 1869 - 700 sider
...dimensions, so we may imagine beings capable of realizing space of four or a greater number of dimensions. Most, if not all, of the great ideas of modern mathematics have had their origin in observation. For instance, one gigantic outcome of modern analytical thought, itself, too, only the precursor and...
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The Quarterly Journal of Science, Volum 6

1869 - 692 sider
...dimensions, so we may imagine beings capable of realizing space of four or a greater number of dimensions. Most, if not all, of the great ideas of modern mathematics have had their origin in observation. For instance, one gigantic outcome of modern analytical thought, itself, too, only the precursor and...
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The Laws of Verse: Or Principles of Versification Exemplified in Metrical ...

James Joseph Sylvester - 1870 - 162 sider
...confounding distinctions now become familiar age, and with happy consequences, the same bold hypothesis. Most, if not all, of the great ideas of modern mathematics...without proof by their author, which resisted all the efforts of the myriad-minded Euler to reduce to demonstration, and only yielded up their cause...
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The Laws of Verse: Or Principles of Versification Exemplified in Metrical ...

James Joseph Sylvester - 1870 - 166 sider
...confounding distinctions now become familiar age, and with happy consequences, the same bold hypothesis. Most, if not all, of the great ideas of modern mathematics...without proof by their author, which resisted all the efforts of the myriad-minded Euler to reduce to demonstration, and only yielded up their cause...
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The laws of verse or Principles of versification exemplified in metrical ...

1870 - 196 sider
...confounding distinctions now become familiar age, and with happy consequences, the same bold hypothesis. Most, if not all, of the great ideas of modern mathematics...diophantine theorems of Fermat, left without proof by their aiithor, which resisted all the efforts of the myriad-minded Euler to reduce to demonstration, and...
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Nature, Volum 1

Sir Norman Lockyer - 1870 - 684 sider
...mathematicians, started and elaborated at an early age, and with happy consequences, the same bold hypothesis. Most, if not all, of the great ideas of modern mathematics...foundation was laid in the diophantine theorems of Format, left without proof by their author, which resisted all the efforts of the myriad-minded Euler...
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Report of the Annual Meeting

British Association for the Advancement of Science - 1870 - 836 sider
...mathematicians, started and elaborated at an early age, and with happy consequences, the same bold hypothesis. Most, if not all, of the great ideas of modern mathematics...instance, the arithmetical theory of forms, of which tho foundation was laid in the diophantine theorems of Fermât, left without proof by their author,...
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Report of the ... Meeting of the British Association for the ..., Volum 39

British Association for the Advancement of Science - 1870 - 844 sider
...age, and with happy consequences, the same bold hypothesis. / Most, if not all, of the great idens of modern mathematics have had their origin in observation....instance, the arithmetical theory of forms, of which thu / foundation was laid in the diophantine theorems of Fermât, left without proof by their author,...
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Nature, Volum 1

Sir Norman Lockyer - 1870 - 694 sider
...mathematicians, started and elaborated at an early age, and with happy consequences, the same bold hypothesis. Most, if not all, of the great ideas of modern mathematics have had their origin in observation. Takc,for instance, the arithmetical theory of forms, of which the foundation was laid in the diophantine...
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The Sewanee Review, Volum 14

1906 - 560 sider
...Association in 1869, gave a powerful answer to this sweeping assertion of Mr. Huxley. In part Sylvester said: "Most, if not all, of the great ideas of modern mathematics have had their authority in observation. Lagrange, than whom no greater authority could be quoted, has expressed emphatically...
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