Gods have bloody hands.
Thought that accepts reality as given is no thought at all.
It is well known that the central problem of the whole of modern mathematics is the study of transcendental functions defined by differential equations.
We call infinite that thing whose limits we have not perceived, and so by that word we do not signify what we understand about a thing, but rather what we do not understand.
Infinity is a fathomless gulf, into which all things vanish.
The fear of infinity is a form of myopia that destroys the possibility of seeing the actual infinite, even though it in its highest form has created and sustains us, and in its secondary transfinite forms occurs all around us and even inhabits our minds.
No human investigation can claim to be scientific if it doesn't pass the test of mathematical proof.
"I see it, but I don't believe it. "
Only so much can be borne from men, so much from gods
You get what you expect. Expect to heal. Expect victory.
And as for death - we get what we expect.
It is the faithfulness of God that allows epistemology to model ontology.
ALGEBRA is a general Method of Computation by certain Signs and Symbols which have been contrived for this Purpose, and found convenient.
We must revisit the idea that science is a methodology and not an ontology.
Brilliant. The Ontology Project is a post-graduate course in card magic.
I'm apt to get drunk on words. . . Ontology: the word about the essence of things; the word about being.
The world is too big and too intricate to conform to our ideas of what it should be like. . . Just because we invent myths and theories to explain away the chaos we're still going to live in a world that's older and more complicated than we'll ever understand.
Calculus works by making visible the infinitesimally small.
This view [of the infinite], which I consider to be the sole correct one, is held by only a few. While possibly I am the very first in history to take this position so explicitly, with all of its logical consequences, I know for sure that I shall not be the last!
Although my knowledge grows more and more, nevertheless I do not for that reason believe that it can ever be actually infinite, since it can never reach a point so high that it will be unable to attain any greater increase.