ALGEBRA is a general Method of Computation by certain Signs and Symbols which have been contrived for this Purpose, and found convenient..

Utopia would seem to offer the spectacle of one of those rare phenomena whose concept is indistinguishable from its reality, whose ontology coincides….

The enormous usefulness of mathematics in the natural sciences is something bordering on the mysterious and there is no rational explanation of it..

Thought that accepts reality as given is no thought at all..

When I consider this carefully, I find not a single property which with certainty separates the waking state from the dream. How can you be certain t….

Mystery is an inescapable ingredient of mathematics. Mathematics is full of unanswered questions, which far outnumber known theorems and results. It'….

The line has magnitude in one way, the plane in two ways, and the solid in three ways, and beyond these there is no other magnitude because the three….

All sentences of the type 'deconstruction is X' or 'deconstruction is not X', a priori miss the point, which is to say that they are at least false. ….

The final philosophy is the ontology of God..

My opinion of mankind is founded upon the mournful fact that, so far as I can see, they find within themselves the means of believing in a thousand t….

No human investigation can claim to be scientific if it doesn't pass the test of mathematical proof..

He who does not understand the supreme certainty of mathematics is wallowing in confusion..

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 re….

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 wh….

Gods have bloody hands..

If, as you teach, the universe has no beginning and no end, why should we?.

There are no solved problems; there are only problems that are more or less solved..

And as for death - we get what we expect..

A first fact should surprise us, or rather would surprise us if we were not used to it. How does it happen there are people who do not understand mat….

Mathematics is purely hypothetical: it produces nothing but conditional propositions..

Only so much can be borne from men, so much from gods.