A Quote by Carl Friedrich Gauss
I protest against the use of infinite magnitude ..., which is never permissible in mathematics.
Related Quotes
The magnitude of the punishment matches the magnitude of the sin. Now a sin that is against God is infinite; the higher the person against whom it is committed, the graver the sin-it is more criminal to strike a head of state than a private citizen-and God is of infinite greatness. Therefore an infinite punishment is deserved for a sin committed against Him.
There is a right to protest in our country, but at times the manner in which the protest is done breaks all permissible levels. I don't agree with it at all.
Mathematics is a logical method. . . . Mathematical propositions express no thoughts. In life it is never a mathematical proposition which we need, but we use mathematical propositions only in order to infer from propositions which do not belong to mathematics to others which equally do not belong to mathematics.
With the exception of the geometrical series, there does not exist in all of mathematics a single infinite series the sum of which has been rigorously determined. In other words, the things which are the most important in mathematics are also those which have the least foundation.
The principles of logic and mathematics are true simply because we never allow them to be anything else. And the reason for this is that we cannot abandon them without contradicting ourselves, without sinning against the rules which govern the use of language, and so making our utterances self-stultifying. In other words, the truths of logic and mathematics are analytic propositions or tautologies.
Mathematics has been called the science of the infinite. Indeed, the mathematician invents finite constructions by which questions are decided that by their very nature refer to the infinite. This is his glory.
One magnitude is said to be the limit of another magnitude when the second may approach the first within any given magnitude, however small, though the second may never exceed the magnitude it approaches.
Until now the theory of infinite series in general has been very badly grounded. One applies all the operations to infinite series as if they were finite; but is that permissible? I think not. Where is it demonstrated that one obtains the differential of an infinite series by taking the differential of each term? Nothing is easier than to give instances where this is not so.
Protest against Industrial Capitalism from one aspect or another is universal: so was the protest against the condition of European religion at the beginning of the sixteenth century.
The Holocaust never quite leaves Israeli Jews alone. Arabs use it against them and they use it against Arabs. Jews use it against other Jews. Even the president of the United States, it seems, can use it against the prime minister of Israel.
After this urgent protest against entering into battle at Gettysburg according to instructions - which protest is the first and only one I ever made during my entire military career - I ordered my line to advance and make the assault.
The world of ideas which it [mathematics] discloses or illuminates, the contemplation of divine beauty and order which it induces, the harmonious connexion of its parts, the infinite hierarchy and absolute evidence of the truths with which it is concerned, these, and such like, are the surest grounds of the title of mathematics to human regard, and would remain unimpeached and unimpaired were the plan of the universe unrolled like a map at our feet, and the mind of man qualified to take in the whole scheme of creation at a glance.
When I arrived in France aged 20, I marched against the death penalty, which was an unpopular thing to protest against at the time.
We admit, in geometry, not only infinite magnitudes, that is to say, magnitudes greater than any assignable magnitude, but infinite magnitudes infinitely greater, the one than the other. This astonishes our dimension of brains, which is only about six inches long, five broad, and six in depth, in the largest heads.
Mystery is an inescapable ingredient of mathematics. Mathematics is full of unanswered questions, which far outnumber known theorems and results. It's the nature of mathematics to pose more problems than it can solve. Indeed, mathematics itself may be built on small islands of truth comprising the pieces of mathematics that can be validated by relatively short proofs. All else is speculation.
There was the pedestrian who wedged himself into the crowd, but there was also the flneur who demanded elbow room and was unwilling to forego the life of the gentleman of leisure. His leisurely appearance as a personality is his protest against the division of labour which makes people into specialists. it was also his protest against their industriousness. Around 1840 it was briefly fashionable to take turtles for a walk in the arcades. the flneurs liked to have the turtles set the pace for them.
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