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Updated: May 28, 2025
True, we say that the physician or arithmetician or grammarian has made a mistake, but this is only a way of speaking; for the fact is that neither the grammarian nor any other person of skill ever makes a mistake in so far as he is what his name implies; they none of them err unless their skill fails them, and then they cease to be skilled artists.
As for his daughter's dowry, the young gentleman who anticipates getting one with her, I commend to the practise of his whistling. It will be among the sums you may count, if you are a moderate arithmetician, in groschen. The margravine's income I should reckon to approach twenty thousand per annum, and she proves her honourable sense that she holds it in trust for others by dispersing it rapidly.
"But that I do not think your artist which you mentioned, whether astronomer or arithmetician, can tell me how many barley-corns would reach to the sun, I could be content he were called to the account, with which I shall conclude this point: when by the way I have chid my lords the legislators, who, as if they doubted my tackling could not hold, would leave me to flag in a perpetual calm, but for my Lord Epimonus, who breathes now and then into my sails and stirs the waters.
Then this is knowledge of the kind for which we are seeking, having a double use, military and philosophical; for the man of war must learn the art of number or he will not know how to array his troops, and the philosopher also, because he has to rise out of the sea of change and lay hold of true being, and therefore he must be an arithmetician. That is true.
In other words, he has to exclude all irrelevant considerations, such as his own private interests or affections. The parties are to be to him merely A and B, and he has to work out the result as an arithmetician works out a sum. Among the irrelevant considerations are frequently some moral aspects of the case.
All these, however, are a concession, and are swept away by Professor Peano. One symbol stands for zero, another for number, and a third for next after. What these ideas mean, it is necessary to know if you wish to become an arithmetician. But after symbols have been invented for these three ideas, not another word is required in the whole development.
But it is a very simple matter with which the reader, who is doubtless a better arithmetician than I am, may amuse himself, to estimate the number of married women of reproductive age in the community, and allowing anything in reason for illegitimate motherhood and nothing at all for infertile wives, to satisfy himself that the total cost which would be involved in the adequate care of motherhood, is a mere fraction of the national expenditure.
So do the geometrician, and arithmetician, in their diverse sorts of quantities. So doth the musician, in times, tell you which by nature agree, which not. The lawyer saith what men have determined. The historian what men have done.
He was not exactly a vulgar person, he was too silent for that, but he was evidently of low extraction and coarse breeding; his accomplishments were of a mechanical nature; he was an extraordinary arithmetician, he was a very skilful chemist, and kept a laboratory at his lodgings he mended his own clothes and linen with incomparable neatness.
He has but a miserable knowledge of arithmetic, who is no arithmetician without a pen or pencil in his hand. These are but the ladders upon which he should ascend to the science, and not the science itself. If I were to name one branch, as more important to a young man than any other, next to the merest elements of reading and writing it would be chemistry.
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