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An architect might detect a sequence between the Church of St. Peter's at Rome, the Amiens Cathedral, the Duomo at Pisa, San Marco at Venice, Sancta Sofia at Constantinople and the churches at Ravenna. All the historian dares affirm is that a sequence is manifestly there, and he has a right to carry back his ratio, to represent the fact, without assuming its numerical correctness.

Our present musical signs, he said, are so imperfect and so inconvenient that it is no wonder that several persons have tried to re-cast or amend them; nor is it any wonder that some of them should have hit upon the same device in selecting the signs most natural and proper, such as numerical figures.

Liberal, talk about making infidels of people and drawing them away from the church, but I believe it would have been fortunate for you if you had not mentioned this subject; because you, according to the confession of your own men, have driven more people from the churches than any religious body having a similar numerical strength.

Numerical imagination in the sciences does not take on these delirious forms; it has the advantage of resting on an objective basis: it is the substitute of an unrepresentable reality. Scientific culture, which people often accuse of stifling imagination, on the contrary opens to it a field much vaster than esthetics.

But she was undismayed and full of hope, meditating a bold enterprise that was crowned with success. In the dead of the night, when the imperialists, secure in their numerical superiority, were plunged in sleep, she led the remnants of her troops into the hostile camp. The sleepers awoke to the cry of "St. Peter! St. Peter!" and perished ere they could grasp their arms.

In balancing counter statements and reasons from diverse sources, different minds come to different statistical conclusions. He adds: "M. Beugnot agrees much with Gibbon, and I should conceive, with regard to the West, is clearly right." I beg the reader to observe, that I have not represented the numerical strength of the Christians in Constantine's army to be great.

No adherent of the official party not even the Attorney-General, John Beverley Robinson was a match for Rolph or Bidwell, to say nothing of Perry, whose oratory was of an altogether different complexion, though scarcely less effective. Upon the meeting of the Houses the numerical strength of the respective parties was fairly tested by the vote on the Speakership.

The experience, however, on which our approximate generalizations are grounded, has so rarely been subjected to, or admits of, accurate numerical estimation, that we can not in general apply any measurement to the diminution of probability which takes place at each illation; but must be content with remembering that it does diminish at every step, and that unless the premises approach very nearly indeed to being universally true, the conclusion after a very few steps is worth nothing.

He possessed the superhuman severity which comes from being wholly consecrated to duty.... With a magnificent combination of logic and of violence, with a resolution to which his unusually lucid intelligence added a sort of methodical vehemence, he expressed his conviction that resolute sacrifice was necessary if the result was to be a definite success.... He declared that a soldier who, by force of mind and a sentiment of honour and patriotism, was able to conquer the instinct of fear, should not merely "fulfil" his military duty with firmness, but should hurl himself on death, because it was only at that price that success could be obtained over a numerical majority."

The numerical strength of the Unions in proportion to the voting population is scarcely greater than it was when he wrote , and what he said then holds true as ever to-day. Mr. Gompers has also stated that labor would not be able to secure more than twenty-five or fifty Congressmen by independent political action.