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Updated: June 18, 2025
Granted that he had not the place to himself; granted that the old house had inexpressibly caught and engaged his spirit; granted that, by virtue of the common denominator of the place, this unknown co-tenant stood in some relation to himself: what next? Clearly, the nature of the other numerator must be ascertained. And how?
If the quest of a universal least common denominator forces one to give up everything that is of significance in the views of philosophers, there is profit, at least, in learning that the title of philosopher does not carry with it a guarantee of truth-telling.
Admitting, then, that property is rational and legitimate, admitting that rent is equitable and just, I say that he who cultivates acquires property by as good a title as he who clears, or he who improves; and that every time a tenant pays his rent, he obtains a fraction of property in the land entrusted to his care, the denominator of which is equal to the proportion of rent paid.
A whorl occurring in the first pair counts 16 in the second, the third 4, the fourth 2, and the fifth 1. Thus Green's effort became The figure one was added to both numerator and denominator, and Green at once went to the fourteenth pigeon-hole, in a row of the filing cabinet numbered 21. There, if anywhere, he would find the record that he sought.
He believed in the transforming power of marriage, as his mother believed in the miraculous effects of conversion. Marriage reduced all women to a common denominator; changed a cool, self-satisfied girl into a loving and generous one. It was quite right that Enid should be unconscious now of everything that she was to be when she was his wife. He told himself he wouldn't want it otherwise.
It is not a question of relative strength between character and circumstance, as people are so fond of asserting. That is mere gibberish. It means nothing. The two things cannot be compared, for they are not of the same nature. They can't be reduced to a common denominator." Austin appreciated this illustration, being head of his class for arithmetic.
It was true. And yet before that mad session closed they were Brown's disciples and he had become their martyr here. The mob mind devours individuality, and reduces all to the common denominator of the archaic impulse. In the fierce conflict for Speaker four years before, when Banks had been chosen, Slavery was then the issue.
The ratio of that number to the number of all the possible cases is the measure of the probability; which is thus a fraction, having for its numerator the number of cases favorable to the event, and for its denominator the number of all the cases which are possible.”
The Georgian had nothing in common with the men of Massachusetts Bay whose livelihood depended upon fisheries, or with the Virginian of the Western border, to whom his relations with the Indians were his paramount concern. The Rhode Islander, busy with his manufactures, knew and cared nothing for the South Carolinian with his rice plantations. How to find a common denominator for all these?
It is only when industries are organized that the democratic system of election can justify itself by results in administration. When a county, let us say, chooses a member of Parliament to represent every interest, only too often it chooses a man who can represent few interests except his own. The greatest common denominator of the constituents is as a rule some fluent utterer of platitudes.
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