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" Mathematics is not the discoverer of laws, for it is not induction ; neither is it the framer of theories, for it is not hypothesis ; but it is the judge over both, and it is the arbiter to which each must refer its claims ; and neither law can rule nor... "
Lectures on the Philosophy of Mathematics - Σελίδα 123
των James Byrnie Shaw - 1918 - 206 σελίδες
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Transactions of the Connecticut Academy of Arts and Sciences

1895 - 644 σελίδες
...Linear Associative A!;/ef>ra, says: "Mathematics is the science which draws necessary conclusions. ***** Mathematics is not the discoverer of laws, for it is not induction, neither is it the franier of theories for it is not hypothesis, but it is the judge over both. ***** It deduces from...

The Popular Science Monthly, Τόμος 10

1876 - 862 σελίδες
...all demonstrative research ; so as to include all knowledge strictly capable of dogmatic teaching. Mathematics is not the discoverer of laws, for it...neither is it the framer of theories, for it is not bypothesis; but it ie the judge over both, and it is the arbiter to which either must refer ita claims...

The Popular Science Monthly, Τόμος 10

1877 - 804 σελίδες
...knowledge strictly capable of dogmatic teaching. Mathematics is not the discoverer of laws, for it ia not induction ; neither is it the framer of theories,...the judge over both, and it is the arbiter to which either must refer its claims ; and neither law can rule, nor theory explain, without the sanction of...

American Journal of Mathematics, Τόμος 4

1881 - 420 σελίδες
...to all demonstrative research, so as to include all knowledge strictly capable of dogmatic teaching. Mathematics is not the discoverer of laws, for it...theory explain without the sanction of mathematics. It deduces from a law all its consequences, and develops them into the suitable form for comparison...

Linear Associative Algebra

Benjamin Peirce - 1882 - 154 σελίδες
...to all demonstrative research, so as to include all knowledge strictly capable of dogmatic teaching. Mathematics is not the discoverer of laws, for it...theory explain without the sanction of mathematics. It deduces from a law all its consequences, and develops them into the suitable form for comparison...

Memorabilia Mathematica; Or, The Philomath's Quotation-book

Robert Édouard Moritz - 1914 - 434 σελίδες
...employed against himself. — HERBART, JF Werke [Kehrbach] (Langensalza, 1890), Bd. 5, p. 105. 210. Mathematics is not the discoverer of laws, for it...theory explain without the sanction of mathematics. PEIRCE, BENJAMIN. Linear Associative Algebra, American Journal of Mathematics, Vol. 4 (1881), p. 97....

How to Teach Physics

Rogers D. Rusk - 1923 - 208 σελίδες
...indicates a lack of understanding of the meaning of mathematics. Professor Pierce of Harvard once said: "Mathematics is not the discoverer of laws, for it...theory explain without the sanction of Mathematics." Neither does mathematics prove theories. It adds nothing to experimental data, but only enables data...

Mathematical Investigations in the Theory of Value and Prices

Irving Fisher - 1925 - 142 σελίδες
...Linear Associative Algebra, says : " Mathematics is the science which draws necessary conclusions. ***** Mathematics is not the discoverer of laws, for it...is not hypothesis, but it is the judge over both. ***** It deduces from a law all its consequences. Mathematics under this definition belongs to every...

Mathematically Speaking: A Dictionary of Quotations

C.C. Gaither, Alma E Cavazos-Gaither - 1998 - 506 σελίδες
...necessary conclusions. American journal of Mathematics Linear Associative Algebra Volume 4, 1881 (p. 97) Mathematics is not the discoverer of laws, for it...theory explain without the sanction of mathematics. American journal of Mathematics Linear Associative Algebra Volume 4, 1881 (p. 97) Peirce, Charles Sanders...
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From Kant to Hilbert Volume 1: A Source Book in the Foundations of Mathematics

William Bragg Ewald - 2005 - 696 σελίδες
...to all demonstrative research, so as to include all knowledge strictly capable of dogmatic teaching. Mathematics is not the discoverer of laws, for it...theory explain without the sanction of mathematics. It deduces from a law all its consequences, and develops them into the suitable form for comparison...
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