Infinity Concept Quotes

I think that the leaf of a tree, the meanest insect on which we trample, are in themselves arguments more conclusive than any which can be adduced that some vast intellect animates Infinity.

Infinity is almost impossible for an eight-year-old to grasp. It's an inquiring age, and you're beginning to shape your thoughts and questions about life in general at that stage.

The final end of Eternity, and the beginning of Infinity

Now is the moment that never ends.

Many people believe that the grains of sand are infinite in multitude ... Others think that although their number is not without limit, no number can ever be named which will be greater than the number of grains of sand. But I shall try to prove to you that among the numbers which I have named there are those which exceed the number of grains in a heap of sand the size not only of the earth, but even of the universe

I'm not going into infinity. I'm going into low earth orbit.

We know that there is an infinite, and we know not its nature. As we know it to be false that numbers are finite, it is therefore true that there is a numerical infinity. But we know not of what kind; it is untrue that it is even, untrue that it is odd; for the addition of a unit does not change its nature; yet it is a number, and every number is odd or even (this certainly holds of every finite number). Thus we may quite well know that there is a God without knowing what He is.

Name me the final number, the highest, the greatest. But that's absurd! If the number of numbers is infinite, how can there be a final number? Then how can you speak of a final revolution? There is no final one. Revolutions are infinite.

The real irony is that the view of infinity as some forbidden zone or road to insanity - which view was very old and powerful and haunted math for 2000+ years - is precisely what Cantor's own work overturned. Saying that infinity drove Cantor mad is sort of like mourning St. George's loss to the dragon: it's not only wrong but insulting.

At first sight nothing seems more obvious than that everything has a beginning and an end, and that everything can be subdivided into smaller parts. Nevertheless, for entirely speculative reasons the philosophers of Antiquity, especially the Stoics, concluded this concept to be quite unnecessary. The prodigious development of physics has now reached the same conclusion as those philosophers, Empedocles and Democritus in particular, who lived around 500 B.C.E. and for whom even ancient man had a lively admiration.

Dieu est le point tangent de ze ro et de l'infini. God is the tangential point of zero and the infinite.

Certainly one of the most enthralling things about human life is the recognition that we live in what, for practical purposes, is a universe without bounds.

Infinity is a dark illimitable ocean, without bound.

It seemed like forever ago, like we've had this brief but still infinite forever. Some infinities are bigger than other infinities.

Life is a full circle, widening until it joins the circle motions of the infinite.

It was precisely this notion of infinite series which in the sixth century BC led the Greek philosopher Zeno to conclude that since an arrow shot towards a target first had to cover half the distance, and then half the remainder, and then half the remainder after that, and so on ad infinitum, the result was, as I will now demonstrate, that though an arrow is always approaching its target, it never quite gets there, and Saint Sebastian died of fright.

When I was a kid, one of my favorite books was George Gamow's 'One Two Three ... Infinity: Facts and Speculations of Science.'

Does there exist an Infinity outside ourselves? Is that infinity One, immanent and permanent, necessarily having substance, since He is infinite and if He lacked matter He would be limited, necessarily possessing intelligence since He is infinite and, lacking intelligence, He would be in that sense finite. Does this Infinity inspire in us the idea of essense, while to ourselves we can only attribute the idea of existence? In order words, is He not the whole of which we are but the part?

Civilization is the process of reducing the infinite to the finite.

If the universe were finite, I could go to the edge of the universe and extend my staff. The end of the staff would then be the end of the universe. But if I went to this edge and extended my staff again, that would be the end of the universe. Therefore, the universe cannot be finite.

Mathematicians aren't satisfied because they know there are no solutions up to four million or four billion, they really want to know that there are no solutions up to infinity.

A googolplex is precisely as far from infinity as is the number 1... no matter what number you have in mind, infinity is larger still.

I had a feeling once about Mathematics - that I saw it all. Depth beyond depth was revealed to me - the Byss and Abyss. I saw - as one might see the transit of Venus or even the Lord Mayor's Show - a quantity passing through infinity and changing its sign from plus to minus. I saw exactly why it happened and why the tergiversation was inevitable but it was after dinner and I let it go.

It is known that there are an infinite number of worlds, simply because there is an infinite amount of space for them to be in. However, not every one of them is inhabited. Therefore, there must be a finite number of inhabited worlds. Any finite number divided by infinity is as near to nothing as makes no odds, so the average population of all the planets in the Universe can be said to be zero. From this it follows that the population of the whole Universe is also zero, and that any people you may meet from time to time are merely the products of a deranged imagination.

In the mind's eye, a fractal is a way of seeing infinity.