A Quote by Georg Cantor
I am so in favor of the actual infinite that instead of admitting that Nature abhors it, as is commonly said, I hold that Nature makes frequent use of it everywhere, in order to show more effectively the perfections of its Author. Thus I believe that there is no part of matter which is not - I do not say divisible - but actually divisible; and consequently the least particle ought to be considered as a world full of an infinity of different creatures.
Related Quotes
I am so in favor of the actual infinite that instead of admitting that Nature abhors it, as is commonly said, I hold that Nature makes frequent use of it everywhere, in order to show more effectively the perfections of its Author.
Just as all motion is from an unmovable cause, so everything divisible is from an indivisible cause. However, this visible, corporeal world is, assuredly, of a divisible nature, since what is corporeal is divisible. Therefore, this world is from an earlier, indivisible Cause.
Matter, though divisible in an extreme degree, is nevertheless not infinitely divisible. That is, there must be some point beyond which we cannot go in the division of matter. ... I have chosen the word “atom” to signify these ultimate particles.
The mind of man has perplexed itself with many hard questions. Is space infinite, and in what sense? Is the material world infinite in extent, and are all places within that extent equally full of matter? Do atoms exist or is matter infinitely divisible?
The continuum is that which is divisible into indivisibles that are infinitely divisible.
Man is merely a frequent effect, a monstrosity is a rare one, but both are equally natural, equally inevitable, equally part of the universal and general order. And what is strange about that? All creatures are involved in the life of all others, consequently every species... all nature is in a perpetual state of flux. Every animal is more or less a human being, every mineral more or less a plant, every plant more or less an animal... There is nothing clearly defined in nature.
Since infinity is by its very nature infinite, then enlightenment by its very nature is infinite, and thus can be experienced in infinite ways, by itself or without itself
We operate with nothing but things which do not exist, with lines, planes, bodies, atoms, divisible time, divisible space - how should explanation even be possible when we first make everything into an image, into our own image!
Nothing is more human than for man to desire naturally things impossible to his nature. It is, indeed, the property of a nature which is not closed up in matter like the nature of physical things, but which is intellectual or infinitized by the spirit. It is the property of a metaphysical nature. Such desires reach for the infinite, because the intellect thirsts for being and being is infinite.
If E is considered to be a continuously divisible quantity, this distribution is possible in infinitely many ways. We consider, however-this is the most essential point of the whole calculation-E to be composed of a well-defined number of equal parts and use thereto the constant of nature h = 6.55 ×10-27 erg sec. This constant multiplied by the common frequency ? of the resonators gives us the energy element E in erg, and dividing E by E we get the number P of energy elements which must be divided over the N resonators.
My love affair with nature is so deep that I am not satisfied with being a mere onlooker, or nature tourist. I crave a more real and meaningful relationship. The spicy teas and tasty delicacies I prepare from wild ingredients are the bread and wine in which I have communion and fellowship with nature, and with the Author of that nature.
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?
What a glorious title, Nature, a veritable stroke of genius to have hit upon. It is more than a cosmos, more than a universe. It includes the seen as well as the unseen, the possible as well as the actual, Nature and Nature's God, mind and matter. I am lost in admiration of the effulgent blaze of ideas it calls forth.
We are like droplets of water in an ocean of consciousness; individual to an extent, but those droplets together make up the ocean -- without the droplets there is no ocean. It is the same with this infinite energy mind we call creation/god. We are not part of that infinity -- we are that infinity if we open ourselves up to reconnect with it. Wherever you stand in infinity, you are at the center of infinity. So everything that exists is everything that exists. I am everything that exists; and so are you -- the more you realize that, the more you open up to the full infinity of who you are.
Both our senses and our passions are a supply to the imperfection of our nature; thus they show that we are such sort of creatures as to stand in need of those helps which higher orders of creatures do not.
Nature, as man has always known it, he knows no more. Since he has learned to esteem signs above symbols, to suppress his emotional reactions in favor of practical ones and make use of nature instead of holding so much of it sacred, he has altered the face, if not the heart, of reality.
Related Authors
Ada Lovelace Quotes
English
Mathematician
Alfred North Whitehead Quotes
English
Mathematician
Benoit Mandelbrot Quotes
French
Mathematician
Carl Friedrich Gauss Quotes
German
Mathematician
Charles Babbage Quotes
English
Mathematician
David Hilbert Quotes
German
Mathematician
G. H. Hardy Quotes
British
Mathematician
George Polya Quotes
Hungarian
Mathematician
Hannah Fry Quotes
English
Mathematician
Henri Poincare Quotes
French
Mathematician
Isaac Barrow Quotes
English
Mathematician
Isaac Newton Quotes
English
Mathematician
Norbert Wiener Quotes
American
Mathematician
Pythagoras Quotes
Greek
Mathematician
Rene Descartes Quotes
French
Mathematician
Seymour Papert Quotes
American
Mathematician