A Quote by Georg Cantor
Mathematics, in the development of its ideas, has only to take account of the immanent reality of its concepts and has absolutely no obligation to examine their transient reality.
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Mathematics is entirely free in its development, and its concepts are only linked by the necessity of being consistent, and are co-ordinated with concepts introduced previously by means of precise definitions.
In order to more fully understand this reality, we must take into account other dimensions of a broader reality.
We should remember that science exists only because there are people, and its concepts exist only in the minds of men. Behind these concepts lies the reality which is being revealed to us, but only by the grace of God.
Behind the transient reality, there is something else. It is a deeper, more permanent and unchanging reality that we Buddhists call nirvana.
Words and ideas are a description of reality, silence is a negation of reality. What is the reality itself?
One cannot inquire into the foundations and nature of mathematics without delving into the question of the operations by which the mathematical activity of the mind is conducted. If one failed to take that into account, then one would be left studying only the language in which mathematics is represented rather than the essence of mathematics.
... what is faked [by the computerization of image-making], of course, is not reality, but photographic reality, reality as seen by the camera lens. In other words, what computer graphics have (almost) achieved is not realism, but rather only photorealism - the ability to fake not our perceptual and bodily experience of reality but only its photographic image.
Reality's its own thing. And I'm not really into reality that much. I'm into this cinematic stylized reality that can comment on reality. It's like the most beautiful parts of reality and the saddest parts, but it's none of this middle ground.
My images were surreal simply in the sense that my vision brought out the fantastic dimension of reality. My only aim was to express reality, for there is nothing more surreal than reality itself. If reality fails to fill us with wonder, it is because we have fallen into the habit of seeing it as ordinary.
Do mathematics have a relation to reality or are they only a mathematical symbol?
Reality became for me a problem after my experience with LSD. Before, I had believed there was only one reality, the reality of everyday life. Just one true reality and the rest was imagination and was not real. But under the influence of LSD, I entered into realities which were as real and even more real than the one of everyday. And I thought about the nature of reality and I got some deeper insights.
... I was reminded of a remark of Willa Cather's, that you can't paint sunlight, you can only paint what it does with shadows on a wall. If you examine a life, as Socrates has been so tediously advising us to do for so many centuries, do you really examine a life, or do you examine the shadows it casts on other lives? Entity or relationships? Objective reality or the vanishing point of a multiple perspective exercise? Prism or the rainbows it refracts? And what if you're the wall? What if you never cast a shadow or rainbow of your own, but have only caught those cast by others?
We know only what we do, what we make, what we construct; and all that we make, all that we construct, are realities. I call them images, not in Plato's sense (namely that they are only reflections of reality), but I hold that these images are the reality itself and that there is no reality beyond this reality except when in our creative process we change the images: then we have created new realities.
It has been said that I have three heroes: Christ, Marx and Freud. This is reducing everything to formulae. In truth, my only hero is Reality. If I have chosen to be a filmmaker as well as a writer it is because, rather than expressing reality through those symbols that are words, I have preferred the cinema as a means of expression - to express reality through reality.
I found it liberating to sing on camera. On stage, you have to indicate having a thought, and the word you are singing must indicate it as well, but on camera, you can have ideas, you can take in all the stimuli that the character would be taking in, there's a freedom you get, and you don't have the obligation to transmit each idea to the back of the house. It felt so much closer to reality for me.
Absolute power, as we have always known, corrupts absolutely; it corrupts because it does not do the trick for the individual. Reality always creeps in--the reality of our helplessness and our mortality; the reality that, despite our reach for the stars, a creaturely fate awaits us.
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