A Quote by Pierre de Fermat

I have discovered a truly marvelous proof of this, which however the margin is not large enough to contain. — © Pierre de Fermat
I have discovered a truly marvelous proof of this, which however the margin is not large enough to contain.
It is impossible for any number which is a power greater than the second to be written as a sum of two like powers. I have a truly marvelous demonstration of this proposition which this margin is too narrow to contain.
I have a truly marvellous demonstration of this proposition which this margin is too narrow to contain.
To divide a cube into two other cubes, a fourth power, or in general any power whatever into two powers of the same denomination above the second is impossible, and I have assuredly found an admirable proof of this, but the margin is too narrow to contain it.
By a 2-1 margin, voters believe that Donald Trump would change business as usual in Washington, but by almost as large a margin, they believe that Hillary Clinton would be better in a crisis and less of a decisive margin she cares about people like them.
Questions, inside the larger mystery of sorrow, which contains us and our daily transit, and is large enough indeed to contain the whole shifting tidal theater where I make small constructions, my metaphors, my defenses. Against which I play out theories, doubts, certainties bright as high tide in sunlight, which shift just as that brightness does, in fog or rain.
GRAVITATION, n. The tendency of all bodies to approach one another with a strength proportioned to the quantity of matter they contain-the quantity of matter they contain being ascertained by the strength of their tendency to approach one another. This is a lovely and edifying illustration of how science, having made A the proof of B, makes B the proof of A.
Edge also implies what Ben Graham....called a margin of safety. You have a margin of safety when you buy an asset at a price that is substantially less than its value. As Graham noted, the margin of safety 'is available for absorbing the effect of miscalculations or worse than average luck.' ...Graham expands, "The margin of safety is always dependent on the price paid. It will be large at one price, small at some higher price, nonexistent at some still higher price."
Who is unhappy with little, won't be with much; who doesn't appreciate the small won't be able to take care of the large; who doesn't have enough with enough is at the margin or virtue, for the physical body lives from one day to another and if it gets what it really needs, there will be time for meditation, as long as if we try to give it everything it desires, endless will be the task.
Again there are so many records which contain fond memories and music and songs of which I have to say I am quite proud. There are a couple of tracks which in retrospect on which I now wish I had pushed the red button, however I'm sure this is true of any artist career that has spanned the number of years that mine has. I do not believe however that I have ever made a bad record and I have certainly never made a record to which I didn't give my complete commitment.
The amazing thing about the sea is that it is perhaps the last truly unexplored frontier; most oceanographers estimate that only about ninety-five per cent of the sea has been studied. Meanwhile, the oceans are believed to contain more animals than exist on land, a majority of which have never been discovered.
This used to be among my prayers - a piece of land not so very large, which would contain a garden
Alas, human vices, however horrible one might imagine them to be, contain the proof (were it only in their infinite expansion) of man's longing for the infinite; but it is a longing that often takes the wrong route. It is my belief that the reason behind all culpable excesses lies in this depravation of the sense of the infinite.
The result of the mathematician's creative work is demonstrative reasoning, a proof; but the proof is discovered by plausible reasoning, by guessing.
A large part of the art of instruction lies in making the difficulty of new problems large enough to challenge thought, and small enough so that, in addition to the confusion naturally attending the novel elements, there shall be luminous familiar spots from which helpful suggestions may spring.
In the "commentatio" (note presented to the Russian Academy) in which his theorem on polyhedra (on the number of faces, edges and vertices) was first published Euler gives no proof. In place of a proof, he offers an inductive argument: he verifies the relation in a variety of special cases. There is little doubt that he also discovered the theorem, as many of his other results, inductively.
A proof is a proof. What kind of a proof? It's a proof. A proof is a proof. And when you have a good proof, it's because it's proven.
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