Probability is a liberal art; it is a child of skepticism, not a tool for people with calculators on their belts to satisfy their desire to produce fancy calculations and certainties.
The hand of God never tires, nor are its movements aimless. It makes all things subservient to its designs, and, at every turn, disappoints the calculations of man, causing the most insignificant events to expand to the mightiest consequences, while those that have the appearance of mountains vanish into nothing.john lanahan
Nowhere are our calculations more frequently upset than in war.livy
...the more accurate the calculations became, the more the concepts tended to vanish into thin air.
Geometric calculus consists in a system of operations analogous to those of algebraic calculus, but in which the entities on which the calculations are carried out, instead of being numbers, are geometric entities which we shall define.giuseppe peano
For we may remark generally of our mathematical researches, that these auxiliary quantities, these long and difficult calculations into which we are often drawn, are almost always proofs that we have not in the beginning considered the objects themselves so thoroughly and directly as their nature requires, since all is abridged and simplified, as soon as we place ourselves in a right point of view.
Mr. Herschel … brought with him the calculations of the computers, and we commenced the tedious process of verification. After a time many discrepancies occurred, and at one point these discordances were so numerous that I exclaimed, "I wish to God these calculations had been executed by steam," to which Herschel replied, "It is quite possible."Charles Babbage
There’s one bright spot in the generally gloomy picture know as the Pacific Conflict Zone. According to my calculations, by the year 2500 or so we should have killed off every last member of our species who is stupid enough to take part in so futile a pastime as this war between “ideals,” and with luck they won’t have left their genes behind because they’ll typically have been killed at an age when society thinks they’re too young to assume the responsibility of childbearing. After that we may get some peace and quiet for a change.john brunner
The complete and definitive work of art is created beyond one’s individuality… …The universal transcends such a level. Mere spontaneity has never created a work of art which possesses a lasting cultural value. The method leading to universal form is based upon calculations of measure and number.theo van doesburg
In desperation I asked Fermi whether he was not impressed by the agreement between our calculated numbers and his measured numbers. He replied, "How many arbitrary parameters did you use for your calculations?" I thought for a moment about our cut-off procedures and said, "Four." He said, "I remember my friend Johnny von Neumann used to say, with four parameters I can fit an elephant, and with five I can make him wiggle his trunk." With that, the conversation was over.freeman dyson
The consideration of human suffering is not one which enters into the calculations of primitive man.james frazer
Ah! Five hundred years I have toiled to entice this creature, despairing, doubting, brooding by night, yet never abandoning hope that my calculations were accurate and my great talisman cogent. Then, when finally it appears, you fall upon it for no other reason than to sate your repulsive gluttony!jack vance
Whenever you employ a force of any sort, to carry a point of real importance, reject all nice calculations of economy. Better to be a thousand per cent over the mark, than the smallest fraction of a unit under it.
... it is extremely likely that Aryabhata knew the sign for zero and the numerals of the place value system. This supposition is based on the following two facts: first, the invention of his alphabetical counting system would have been impossible without zero or the place-value system; secondly, he carries out calculations on square and cubic roots which are impossible if the numbers in question are not written according to the place-value system and zero.
The development of Indian trigonometry , based on sine as against chord of the Greeks , a necessity for astronomical calculations with his own concise notation which expresses the full sine table in just one couplet for easy remembrance. One of the two methods suggested by him for the sine table is based on the property that the second order sine differences were proportional to sines themselves.
Since high school I have been utterly fascinated by the “mystery” of and by the beautiful calculations that flow, seemingly without end, from complex numbers and functions of complex variables.
The sexagesimal system was used also in fractions. Thus, in the Babylonian inscriptions, 1/2 and 1/3 are designated by 30 and 20, the reader being expected, in his mind, to supply the word "sixtieths." The Greek geometer Hypsicles and the Alexandrian astronomer Ptolemæus borrowed the sexagesimal notation of fractions from the Babylonians and introduced it into Greece. From that time sexagesimal fractions held almost full sway in astronomical and mathematical calculations until the sixteenth century, when they finally yielded their place to the decimal fractions.
It does not do to leave a live dragon out of your calculations, if you live near him.
Nowhere are our calculations more frequently upset than in war.
The quality of health care continues to improve, and people are living longer, but these developments mean that we’re likely to eventually find ourselves in a situation in which we’re forced to make difficult choices about our parents, other loved ones, or even ourselves that ultimately boil down to calculations of worth and value.
Molecular evolution is not based on scientific authority. . . . There are assertions that such evolution occurred, but absolutely none are supported by pertinent experiments or calculations. Since no one knows molecular evolution by direct experience, and since there is no authority on which to base claims of knowledge, it can truly be said that . . . the assertion of Darwinian molecular evolution is merely bluster.michael behe
Anyone who has had actual contact with the making of the inventions that built the radio art knows that these inventions have been the product of experiment and work based on physical reasoning, rather than on the mathematicians' calculations and formulae. Precisely the opposite impression is obtained from many of our present day text books and publications.edwin howard armstrong
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