Certainty Quotes

970 quotes by 724 authors

Infinity is a fathomless gulf, into which all things vanish. — Marcus Aurelius
The slicing technique from Flatland still remains one of the most powerful tools for dealing with aggregates in higher dimensions. — Thomas Banchoff
Today the major reason for our interest in Flatland is that for the first time we can achieve some of the dreams of our ancestors… — Thomas Banchoff
My theory stands as firm as a rock; every arrow directed against it will return quickly to its archer. How do I know this? Because… — Georg Cantor
This view [of the infinite], which I consider to be the sole correct one, is held by only a few. While possibly I am the… — Georg Cantor
The actual infinite arises in three contexts: first when it is realized in the most complete form, in a fully independent otherworldly being, in Deo,… — Georg Cantor
No human investigation can claim to be scientific if it doesn't pass the test of mathematical proof. — Leonardo da Vinci
My opinion of mankind is founded upon the mournful fact that, so far as I can see, they find within themselves the means of believing… — Augustus De Morgan
Although my knowledge grows more and more, nevertheless I do not for that reason believe that it can ever be actually infinite, since it can… — Rene Descartes
Neither the true nor the false roots are always real; sometimes they are imaginary; that is, while we can always imagine as many roots for… — Rene Descartes
We call infinite that thing whose limits we have not perceived, and so by that word we do not signify what we understand about a… — Rene Descartes
Calculus works by making visible the infinitesimally small. — Keith Devlin
The increased abstraction in mathematics that took place during the early part of this century was paralleled by a similar trend in the arts. In… — Keith Devlin
I shall devote all my efforts to bring light into the immense obscurity that today reigns in Analysis. It so lacks any plan or system,… — Niels Henrik Abel
The new painters do not propose, any more than did their predecessors, to be geometers. But it may be said that geometry is to the… — Guillaume Apollinaire
Our account does not rob the mathematicians of their science... In point of fact they do not need the infinite and do not use it. — Aristotle
The line has magnitude in one way, the plane in two ways, and the solid in three ways, and beyond these there is no other… — Aristotle
Since I found that one could make a case shadow from a three-dimensional thing, any object whatsoever - just as the projecting of the sun… — Marcel Duchamp
Complete knowledge of the nature of an analytic function must also include insight into its behavior for imaginary values of the arguments. Often the latter… — Carl Friedrich Gauss
When the boy begins to understand that the visible point is preceded by an invisible point, that the shortest distance between two points is conceived… — Johann Wolfgang von Goethe

Who Wrote These Certainty Quotes

724 authors contributed a total of 970 Certainty Quotes, led by these top contributors: