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- One versed in mathematics.
- a person skilled in mathematics

Mathematicians, astronomers, chemical scientists continually disprove and reject the conclusions of the ancients; nothing is fixed, nothing final; everything continually changing because human reason is progressing along new roads of investigation and arriving at new conclusions every day.

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An English mathematician, Halley, knowing not one word of Arabic, determined (without waiting for that Arabic key) to pick the lock of this MS.

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For it is singular enough, that a modern mathematician of eminence (Mr. Babbage) has expressly considered this very imaginary question of a resurrection, and he pronounces the testimony of _seven_ witnesses, competent and veracious, and presumed to have no bias, as sufficient to establish such a miracle.

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He lay with his white face wrinkled up, trying hard, in spite of what had been said, to think out what it all meant, but always with his thoughts tending towards his head rolling round in a mill and getting no farther; in fact, it seemed to be going round again for about the nth time, as mathematicians term it, when the cabin-door once more opened, and his attendant bore in a steaming hot cup of tea, to be closely followed by a bluff-looking, middle-aged man, sun-browned, bright-eyed and alert, dressed in semi-naval costume, and looking like a well-to-do yachtsman.

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I was able to read most of the Greek and Latin authors with facility; I was likewise, to a certain degree, a mathematician.

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He was an active, practical and useful man-a skilful draftsman and mathematician, and a man of affairs who could undertake a difficult task and carry it through to completion.

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Gifted as he was, learned in many directions, an enthusiastic mathematician, master of several languages, occasionally full of wit and humour, and even good sense, yet he gave his books the strangest titles, and his ideas were no less whimsical.

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In approbation also of this fashion the mathematicians allow the very same horoscope to princes and to sots.

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Within it were seen the twelve signs of the zodiac, the twelve months of the year, with their properties, the two equinoxes, the ecliptic line, with some of the most remarkable fixed stars about the antartic pole and elsewhere, so curiously engraven that I fancied them to be the workmanship of King Necepsus, or Petosiris, the ancient mathematician.

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They were good mathematicians, it seemed, for they did not have to ask Mitchell how the nine hundred and twenty was doing, or to inquire regarding the health of the other eighty.

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Certain of these are kneaded with the clay of the poet, others with the clay of the painter, the astronomer, the mathematician, the legislator, the soldier.

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If you had passed by him this afternoon, and had been anything of a mathematician who could straighten out geometrical angles, you would have come close to his height had you stopped at five feet nine.

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But this astonishing jehu of mine had been conspicuous as the worst mathematician and the best soldier in his class at West Point.

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The method used in this book in analysing life phenomena is essentially an engineering method, and as physics and mechanics always suggest to mathematicians new fields for analysis, it is not improbable that Human Engineering will give mathematicians new and interesting fields for research.

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The humblest rôle of mathematicians in Human Engineering may be likened to that of “Public accountants” who put _in order_ the affairs of business.

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I have merely wished to indicate that the task is conceived and undertaken in the mathematical spirit, which must be the guiding spirit of Human Engineering; for no thought, if it be non-mathematical in spirit, can be trusted, and, although mathematicians sometimes make mistakes, the spirit of mathematics is always right and always sound.

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All of them were, in a way, mathematicians in their methods and philosophy, as much as they could be in their time.

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PR__T_, as already explained; we know, too, that the _total_ progress which _T_ successive generations can thus make is: _R/R-1_(_PR__T-P_) which is also an increasing exponential function of time; we know from the differential calculus that these functions—which represent natural laws, laws of human _nature_, laws of the time-binding energies of man—are very remarkable functions—not only do they increase with time but their _rates_ of increase are also exponential functions of time and so the rates of increase themselves increase at rates which are, again, exponential functions, and so on and on without limit; that, I say, is a marvelous fact, and it is for us a fact of immeasurable significance; for it means that the time-binding power of man is such that, if it be allowed to operate naturally, civilization—the production and right use of material and spiritual wealth—will not only grow towards infinity (as mathematicians say), but will thus grow with a _swiftness_ which is not constant but which itself grows towards infinity with a swiftness which, again, is not constant but increases according to the same law, and so on indefinitely.

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It is the kind that consists in what mathematicians call “confusion of types,” or “mixing of dimensions.

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The Section of Mathematical Sociology_ or _Humanology_: composed of at least one sociologist, one biologist, one mechanical engineer, and one mathematician.

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Example #1

In the future much that is announced and accepted as true now will be rejected and disproved.
Example #2

For instance, great discoveries and announcements of former centuries are continually upset and discarded by the wise men of today.
Example #3

The Greek, after much search, was not recovered; but at length there was found (in the Bodleian, I think,) an Arabic translation of it.
Example #4

An art which, in the preceding century, had been greatly improved by Wallis, Savilian professor of geometry at Oxford, the improver of analytic mathematics, and the great historian of algebra.
Example #5

Strip Hume's case of the ambiguities already pointed out-suppose the physicians really separate and independent witnesses-not a corporation speaking by one organ-it will then become a mere question of degree between the philosopher and the mathematician-seven witnesses? or fifty? or a hundred?
Example #6

And his case of Queen Elizabeth's resurrection being a perfectly fictitious case, we are at liberty to do any one of three different things:-either simply to refuse an answer; or, 2dly, to give such an answer as he looks for, viz., to agree with him in his disbelief under the supposed contingency; without, therefore, offering the slightest prejudice to any scriptural case of resurrection: i. e., we might go along with him in his premises, and yet balk him of his purpose; or, 3dly, we might even join issue with him, and peremptorily challenge his verdict upon his own fiction.