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Updated: June 22, 2025
Find me, and turn thy back on heaven. I was just going to say, when I was interrupted, that one of the many ways of classifying minds is under the heads of arithmetical and algebraical intellects. All economical and practical wisdom is an extension or variation of the following arithmetical formula: 2 + 2 = 4.
Half-an-hour had not elapsed before Barbicane, raising his head, showed Michel Ardan a page covered with algebraical signs, amidst which the following general formula was discernible: "And what does that mean?" asked Michel.
Darrell had found object, amusement, occupation frivolous if Compared with those lenses, and glasses, and algebraical scrawls which had once whiled lonely hours in the attic-room hard by; but not frivolous even to the judgment of the austerest sage, if that sage had not reasoned away his heart.
"What do you think of it?" I asked. "It seems very complete and conclusive," she replied. And then, with a sigh, she murmured: "Poor old Uncle John! How horrid it sounds to talk of him in this cold-blooded, business-like way, as 'the testator, as if he were nothing but a sort of algebraical sign."
William Holden, long the oldest journalist in South Australia, who revelled in statistical returns and algebraical problems and earth measurements, but who also appreciated a good charade or double acrostic. I used to give some of the ingredients for his "Christmas Mince Pie," and wrote many riddles of various sorts.
As in our school it was necessary that we should be instructed in reading, writing, and ciphering, the governors had selected the Dominie as the most fitting person that had offered for the employment, because he had, in the first place, written a work that nobody could understand upon the Greek particles; secondly, he had proved himself a great mathematician, having, it is said, squared the circle by algebraical false quantities, but would never show the operation for fear of losing the honour by treachery.
I was just going to say, when I was interrupted, that one of the many ways of classifying minds is under the heads of arithmetical and algebraical intellects. All economical and practical wisdom is an extension or variation of the following arithmetical formula: 2+2=4. Every philosophical proposition has the more general character of the expression a+b=c.
Fixity, indeed, is a characteristic of the signs which have been expressly invented for scientific use, such as algebraical notation or the nomenclature of chemistry.
It is easy to multiply algebraical problems to infinity, nor is there any end in the discovery of the proportions of conic sections; though few mathematicians take any pleasure in these researches, but turn their thoughts to what is more useful and important. Now the question is, after what manner this utility and importance operate upon us?
And in an arithmetical operation, where both the truth and the assurance are of the same nature, as in the most profound algebraical problem, the pleasure is very inconsiderable, if rather it does not degenerate into pain: Which is an evident proof, that the satisfaction, which we sometimes receive from the discovery of truth, proceeds not from it, merely as such, but only as endowed with certain qualities.
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