A Quote by J. W. N. Sullivan

The mathematician is entirely free, within the limits of the imagination, to construct what worlds he pleases. — © J. W. N. Sullivan
The mathematician is entirely free, within the limits of the imagination, to construct what worlds he pleases.
The mathematician is entirely free, within the limits of his imagination, to construct what worlds he pleases. What he is to imagine is a matter for his own caprice; he is not thereby discovering the fundamental principles of the universe nor becoming acquainted with the ideas of God.
The constructs of the mathematical mind are at the same time free and necessary. The individual mathematician feels free to define his notions and set up his axioms as he pleases. But the question is will he get his fellow mathematician interested in the constructs of his imagination. We cannot help the feeling that certain mathematical structures which have evolved through the combined efforts of the mathematical community bear the stamp of a necessity not affected by the accidents of their historical birth.
We may seem the weakest and most insignificant of all the Realms, but our strength comes in other ways. We have what no other race has: imagination. Any one of us, even the lowliest, can create worlds within ourselves; we can people them with the most extraordinary creatures, the most amazing inventions, the most incredible things. We can live in those worlds ourselves, if we choose; and in our own worlds, we can be as we want to be. Imagination is as close as we will ever be to godhead, Poison, for in imagination, we can create wonders.
The calculus of probabilities, when confined within just limits, ought to interest, in an equal degree, the mathematician, the experimentalist, and the statesman.
I believe in an America where the rights that I have described are enjoyed by all, regardless of their race or their creed or their national origin - where every citizen is free to think and speak as he pleases and write and worship as he pleases - and where every citizen is free to vote as he pleases, without instructions from anyone, his employer, the union leader or his clergyman.
Working within the limits of the medium forces us to change our own limits. Improvisation is not breaking with forms and limitations just to be 'free,' but using them as the very means of transcending ourselves.
The scientific imagination always restrains itself within the limits of probability.
Through imagination, we can visualize the uncredited worlds of potential that lie within us.
I've read up on magic, and I think it sets you free, and it gives you hope. You can explore worlds you didn't know existed. It stretches your imagination, and I like my own imagination to be stretched and also the children I'm telling the story to. It gives you a sense of wonder.
I'm not a dancer, so I have to find a movement that belongs to me. I dance within my limits and with my imagination.
Science begins with the world we have to live in, accepting its data and trying to explain its laws. From there, it moves toward the imagination: it becomes a mental construct, a model of a possible way of interpreting experience. The further it goes in this direction, the more it tends to speak the language of mathematics, which is really one of the languages of the imagination, along with literature and music. Art, on the other hand, begins with the world we construct, not with the world we see. It starts with the imagination, and then works toward ordinary experience.
I want to be remembered as an imaginer, someone who used his imagination as a way to journey beyond the limits of self, beyond the limits of flesh and blood, beyond the limits of even perhaps life itself, in order to discover some sense of order in what appears to be a disordered universe. I'm using my imagination to find meaning, both for myself and, I hope, for my readers."-Clive Barker
Damon Lindelof is hypnotizing. His imagination is without limits, and Tom Perrotta, as well. You begin to just trust, completely, where the story is going, knowing that you're entirely safe in the truthfulness of it.
An island always pleases my imagination, even the smallest, as a small continent and integral portion of the globe. I have a fancyfor building my hut on one. Even a bare, grassy isle, which I can see entirely over at a glance, has some undefined and mysterious charm for me.
I believe that all poetry is formal in that it exists within limits, limits that are either inherited by tradition or limits that language itself imposes.
A mathematician may say anything he pleases, but a physicist must be at least partially sane.
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