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" If you had committed only one error, you would not have come at a true solution of the problem. But by virtue of a twofold mistake you arrive, though not at science, yet at truth. For science it cannot be called, when you proceed blindfold, and arrive... "
The Philosophy of Mathematics: With Special Reference to the Elements of ... - Page 155
by Albert Taylor Bledsoe - 1886 - 248 pages
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The Works of George Berkeley, Volume 2

George Berkeley - 1820 - 478 pages
...corrected by a second error of excess. XXII. If you had committed only one error, you would not have come at a true solution of the problem. But by virtue...called, when you proceed blindfold, and arrive at the truth not knowing how or by what means. To demondydy strate that z is equal to - , let BR or dx...
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The Works of George Berkeley, Volume 2

George Berkeley - 1820 - 474 pages
...corrected by a second error of excess. XXII. If you had committed only one error, you would not have come at a true solution of the problem. But by virtue...called, when you proceed blindfold, and arrive at the truth not knowing how or by what means. To demondyd y strate that z is equal to , let BR or dx...
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The Works of George Berkeley: Including His Letters to Thomas ..., Volume 2

George Berkeley - Philosophy, Modern - 1843 - 470 pages
...corrected by a second error of excess. XXII. If you had committed only one error, you would not have come at a true solution of the problem. But by virtue...called, when you proceed blindfold, and arrive at the truth not knowing how or by what means. To demonstrate that z is equal to ^ " , let BR or dx be...
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The Works of George Berkeley, D.D., Bishop of Cloyne, Volume 3

George Berkeley - Idealism - 1898 - 606 pages
...corrected by a second error of excess. 22. If you had committed only one error, you would not have come at a true solution of the problem. But by virtue...called, when you proceed blindfold, and arrive at the truth not knowing how or by what means. To demonstrate that z is equal to — -, let v BR or dx...
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Works, Volume 3

George Berkeley - 1898 - 580 pages
...corrected by a second error of excess. 22. If you had committed only one error, you would not have come at a true solution of the problem. But by virtue...called, when you proceed blindfold, and arrive at the truth not knowing how or by civ dy what means. To demonstrate that z is equal to . let 2y BR or...
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The Works of George Berkeley, D.D., Bishop of Cloyne, Volume 3

George Berkeley - Idealism - 1898 - 556 pages
...corrected by a second error of excess. 22. If you had committed only one error, you would not have come at a true solution of the problem. But by virtue...called, when you proceed blindfold, and arrive at the truth not knowing how or by dy dy what means. To demonstrate that z is equal to — — , let 2y...
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A History of the Conceptions of Limits and Fluxions in Great Britain, from ...

Florian Cajori - Mathematics - 1919 - 320 pages
..."error of excess." "Therefore the two errors being equal and contrary destroy each other (§ 21); . . . by virtue of a twofold mistake you arrive, though not at science, yet at truth." Berkeley gives other illustrations of cases where " one error is redressed by another." 82. " A point...
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Wittgenstein and the Turning Point in the Philosophy of Mathematics

Stuart Shanker - Philosophy - 1987 - 378 pages
...'compensation of errors', where two mistakes had cancelled each other out, enabling mathematicians to arrive 'not at Science, yet at Truth. For Science it cannot...called, when you proceed blindfold, and arrive at the Truth not knowing how or by what means.'16 Berkeley's shafts found their mark. In the wave of empirical...
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From Kant to Hilbert Volume 1: A Source Book in the Foundations of Mathematics

William Bragg Ewald - Mathematics - 2005 - 696 pages
...being corrected by a second error of excess. 22 If you had committed only one error, you would not have come at a true solution of the problem. But by virtue...called, when you proceed blindfold, and arrive at the truth not knowing how or by what means. To demonstrate that z is equal to dydy , let BR or dx be...
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Mathematical Expeditions: Chronicles by the Explorers

Reinhard Laubenbacher, David Pengelley - Mathematics - 2000 - 292 pages
...multiple errors implicit in the rules of calculus somehow cancel each other's effects, thus arriving "though not at Science, yet at Truth, For Science...called, when you proceed blindfold, and arrive at the Truth not knowing how or by what means" [77, pp. 88-89]. We will see how some of his mathematical...
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