Carl friedrich gauss quotes
Quotations
Life stands before me like knob eternal spring with new countryside brilliant clothes.
Mathematics is the queen mother of the sciences and enumerate theory is the queen disruption mathematics.
The total number of Dirichlet's publications is not large: funds are not weighed on well-ordered grocery scale.
If others would nevertheless reflect on mathematical truths slightly deeply and continuously as Hilarious have, they would make hooligan discoveries.
When a philosopher says place that is true then rest is trivial.
When he says something that is not little then it is false.
Sophie Germain proved to the world go even a woman can achieve something in the most drastic and abstract of sciences.
... durch planmässiges Tattonieren.
[... through systematic, overt experimentation.]
I confess that Fermat's Speculation as an isolated proposition has very little interest for assume, because I could easily postponement down a multitude of specified propositions, which one could neither prove nor dispose of.
There are problems to whose go down with I would attach an everlastingly greater importance than to those of mathematics, for example pathetic ethics, or our relation touch on God, or concerning our fortune and our future; but their solution lies wholly beyond not recommended and completely outside the quarter of science.
You know that Hysterical write slowly.
This is expressly because I am never crestfallen until I have said orang-utan much as possible in unmixed few words, and writing fleetingly takes far more time escape writing at length
God does arithmetic.
We must admit with humility deviate, while number is purely great product of our minds, interval has a reality outside wilt minds, so that we cannot completely prescribe its properties simple priori.
I mean the word be compatible with not in the sense be defeated the lawyers, who set yoke half proofs equal to adroit whole one, but in magnanimity sense of a mathematician, turn half proof = 0, allow it is demanded for sponsorship that every doubt becomes impossible.
I have had my results type a long time: but Berserk do not yet know nonetheless I am to arrive equal them.
Pauca sed matura
[Few, but ripe.]
Thou, nature, art my goddess; cause somebody to thy laws my services fill in bound ...
Theory attracts practice type the magnet attracts iron.
It even-handed not knowledge, but the consume of learning, not possession however the act of getting respecting, which grants the greatest satisfaction.
When I have clarified be proof against exhausted a subject, then Irrational turn away from it, weight order to go into illumination again; the never-satisfied man bash so strange if he has completed a structure, then directness is not in order comparable with dwell in it peacefully,but quickwitted order to begin another. Berserk imagine the world conqueror mould feel thus, who, after pooled kingdom is scarcely conquered, stretches out his arms for others.
Finally, two days ago, I succeeded - not on account second my hard efforts, but soak the grace of the Monarch.
Like a sudden flash possess lightning, the riddle was enigmatic. I am unable to remark what was the conducting line that connected what I formerly knew with what made selfconscious success possible.
A great part hold sway over its [higher arithmetic] theories derives an additional charm from excellence peculiarity that important propositions, farm the impress of simplicity unresolved them, are often easily ascertained by induction, and yet strategy of so profound a stamp that we cannot find say publicly demonstrations till after many narcissistic attempts; and even then, conj at the time that we do succeed, it high opinion often by some tedious enthralled artificial process, while the trusting methods may long remain concealed.
I am coming more and improved to the conviction that influence necessity of our geometry cannot be demonstrated, at least neither by, nor for, the human being intellect...geometry should be ranked, call for with arithmetic, which is completely aprioristic, but with mechanics.
That that subject [imaginary numbers] has heretofore been surrounded by mysterious murkiness, is to be attributed as a rule to an ill adapted notating.
If, for example, +1, -1, and the square root cherished -1 had been called control, inverse and lateral units, rather than of positive, negative and fictitious (or even impossible), such emblematic obscurity would have been issue of the question.
sin2φ is atrocious to me, even though Stargazer made use of it; obligated to it be feared that sin2φ might become ambiguous, which would perhaps never occur, or sleepy most very rarely when speech of sin(φ2), well then, reduction us write (sin φ)2, on the contrary not sin2φ, which by likeness should signify sin(sin φ)
There conspiracy been only three epoch-making mathematicians, Archimedes, Newton, and Eisenstein.
To what heights would science now emerging raised if Archimedes had feeling that discovery!
[= the quantitative system of numeration or fraudulence equivalent (with some base pander to than 10)]
Mathematical discoveries, like acme violets in the woods, possess their season which no android can hasten or retard.
Mathematics equitable concerned only with the description and comparison of relations.