Quotes About Inf

Berkeley was unable to appreciate that mathematics was not concerned with a world of "real" sense impressions. In much the same manner today some philosophers criticize the mathematical conceptions of infinity and continuum, failing to realize that since mathematics deals with relations rather than with physical existence, its criterion of truth is inner consistency rather than plausibility in the light of sense perception of intuition.

Definitions of number, as given by several later mathematicians, make the limit of an infinite sequence identical with the sequence itself. Under this view, the question as to whether the variable reaches its limit is without logical meaning. Thus the infinite sequence .9, .99, .999,... is the number one, and the question, "Does it ever reach one?" is an attempt to give a metaphysical argument which shall satisfy intuition.

However, inasmuch as the number of parts is infinite, the aggregation of these is not one resembling a very fine powder but rather a sort of merging of parts into unity, as in the case of fluids.

Our psyche is part of nature, and its enigma is as limitless

Like every other being, I am a splinter of the infinite deity, but I cannot contrast myself with any animal, any plant or any stone.

I simply believe that some part of the human Self or Soul is not subject to the laws of space and time.

We're all worth it, man," River said with a beatific smile. "We're all worth millions of planets and stars and galaxies and universes.

Forever and a day.

Theoretically, I learned in physics that the universe is expanding at a rate of, like, forty-five miles a second, but it sure as shit doesn't feel that way when you're standing still.

Because if time can be fluid, then maybe something that is just one day can go on indefinitely

Love can make you immortal.

Forever and One day

Aion" may mean "age" in the New Testament and it may mean "world.

How do you know they are Hunters?" Lucien asked. "They had guns and knives strapped to their bodies, and I saw the mark of infinity on one of their wrists." Branding themselves was foolish, if you asked him. Like putting a neon sign around their necks that read 'Shoot here'.

All these lands—is it possible even for mathematicians or their disciples to count all of them and know the number of all the lands visited?

We don't know how many worlds there are, so we don't know how many we lose to chaos.

Nothing ends, Adrian. Nothing ever ends.

When their minds mingle with His magnanimity, something of eternity rubs off on their imaginations.

The essence of mathematics is in its freedom.

what wonderful power there is in the real numbers, since one is in a position to determine uniquely, with a single coordinate, the elements of an n-dimensional continuous space.

The idea of considering the infinitely large not only in the form of the unlimitedly increasing magnitude and in the closely related form of convergent infinite series...but to also fix it mathematically by numbers in the definite form of the completed infinite was logically forced upon me, almost against my will since it was contrary to traditions which I had come to cherish in the course of many years of scientific effort and investigations.

For me, fantasy must be about something, otherwise it's foolishness... ultimately it must be about human beings, it must be about the human condition, it must be another look at infinity, it must be another way of seeing the paradox of existence.

I asked him if he was leaving anyone behind. He said he'd met a girl with stardust on her robe, and when he looked into her eyes, he saw the universe looking back.

He said he'd met a girl with stardust on her robe, and when he looked into her eyes, he saw the universe looking back.