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Proof by testimony, which is available in con-nexion with questions of fact, is unavailable in connexion with general truths; and logical proof is obtainable only in that comparatively narrow sphere where reasoning is based as in mathematics upon axioms, or as in certain really crucial experiments in the mathematic sciences upon quasi- axiomatic premisses.
Such, therefore, as is space for the grandeur of man's perceptions, such as is space for the benefit of man's towering mathematic speculations, such is the nature of our debt to Lord Rosse as being the philosopher who has most pushed back the frontiers of our conquests upon this exclusive inheritance of man.
It should be borne in mind, in the defence of that which I now did, that I was always in some fear my lord was not quite justly in his reason; and with our enemy sitting so still in the same town with us, I did well to be upon my guard. Alexander the foundation of cyphering and the mathematic, and set myself instead to dog my master's footsteps.
The lonely, tragic faith of certain great souls in that high, cold "Mathematic" of the Universe, the rhythm of whose ordered Harmony is the Music of the Spheres, is a Faith that may well inspire and solemnize us; it cannot persuade or convince us.
Outside, Hella cried frightfully, and so did I, for we were afraid there would be a row at home. We could not go back into the Mathematic lesson because we had been crying such a lot. In the interval Hella walked past Anneliese and said out loud: "Traitress!!" and spat at her. For that she was ordered out of the ranks.
It is awful; just when I did not want to think any more about such things, there comes an affair of that very sort! I'm in a frightful mess through no fault of my own. Just after 9 to-day a girl from the Second came in to our Mathematic lesson and said: "The head mistress wishes to see Lainer, Bruckner, and Franke in the office directly." All the girls looked at us, but we did not know why.
Jesus was a miracle, and as such, at least, we are safe in declaring him un- historical. We pass on now to the presentation of evidence which we venture to think demonstrates with an almost mathematic precision, that the Jesus of the four gospels is a legendary hero, as unhistorical as William Tell of Switzerland. This evidence is furnished by the epistles bearing the signature of Paul.
He had to learn mathematic formulas and grammatic rules. And on the heels of each rule hung at least a dozen exceptions. It was impossible to tell which were of greater importance, the rules or the exceptions. He had also to learn the exact number of pistils and stamens possessed by every flower likely to be found in the vicinity of the Swedish capital.
And yet we know of an author viz., one S. T. Coleridge who repeated that same doctrine without finding any evil in it. Malthus again, in his population-book, contends for a mathematic difference between animal and vegetable life, in respect to the law of increase, as though the first increased by geometrical ratios, the last by arithmetical!
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