Mathematical Concept Quotes

If you look at a shape like a straight line, what's remarkable is that if you look at a straight line from close by, from far away, it is the same; it is a straight line.

Carnal embrace is sexual congress, which is the insertion of the male genital organ into the female genital organ for purposes of procreation and pleasure. Fermat’s last theorem, by contrast, asserts that when x, y and z are whole numbers each raised to power of n, the sum of the first two can never equal the third when n is greater than 2.

The simplest thought, like the concept of the number one, has an elaborate logical underpinning.

We must say that there are as many squares as there are numbers.

There is a theorem that colloquially translates, You cannot comb the hair on a bowling ball. ... Clearly, none of these mathematicians had Afros, because to comb an Afro is to pick it straight away from the scalp. If bowling balls had Afros, then yes, they could be combed without violation of mathematical theorems.

The sweet simplicity of the three percents.

Leonardo Fibonacci, the great 13th century Italian mathematician (1175-1250) created the 'Fibonacci sequence' to explain behavior in nature mathematically. History has it that the first question he posed was how many rabbits would be created in one year starting with one pair.

Pray tell us, what's your favorite number?"... "Shiva jumped up to the board, uninvited, and wrote 10,213,223"... "And pray, why would this number interest us?" "It is the only number that describes itself when you read it, 'One zero, two ones, three twos, two threes'.

It is the exact experience of mathematics. Not merely the adding up of your grocery bill, or the daily uses that we make of number. But the great concept of a universal exactitude, that numbers are an instrument of magic. And by means of them, men can unlock all the wonders of the world.

The only way I can distinguish proper from improper fractions is by their actions

Well, gauge theory is very fundamental to our understanding of physical forces these days. But they are also dependent on a mathematical idea, which has been around for longer than gauge theory has.

From a mathematical standpoint it is possible to have infinite space. In a mathematical sense space is manifoldness, or combinations of numbers. Physical space is known as the 3-dimension system. There is the 4-dimension system, the 10-dimension system.

I’m so tired... I was up all night trying to round off infinity.

I ran into Isosceles. He had a great idea for a new triangle!

In right-angled triangles the square on the side subtending the right angle is equal to the squares on the sides containing the right angle.

The sum total of all sums total is eternal.

Set theory in sheep's clothing.

How do you write zero in Roman numerals?

Abstraction is everybody's zero but nobody's nought.

The straightest line between a straight distance is two points.

To those who ask what the infinitely small quantity in mathematics is, we answer that it is actually zero. Hence there are not so many mysteries hidden in this concept as they are usually believed to be.

The straight line has a property of self-similarity. Each piece of the straight line is the same as the whole line when used to a big or small extent.

A prime number is one (which is) measured by a unit alone.

I made the first Moebius strip without knowing what it was.

Notable enough, however, are the controversies over the series 1 - 1 + 1 - 1 + 1 - ... whose sum was given by Leibniz as 1/2, although others disagree. ... Understanding of this question is to be sought in the word "sum"; this idea, if thus conceived - namely, the sum of a series is said to be that quantity to which it is brought closer as more terms of the series are taken - has relevance only for convergent series, and we should in general give up the idea of sum for divergent series.