Quotes by Ontology To see what is general in what is particular, and what is permanent in what is transitory, is the aim of scientific thought. Alfred North Whitehead ontology logic certainty 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 are all. Aristotle ontology three two 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 times as much as there is to believe in. Augustus De Morgan ontology mean believe Mathematics is purely hypothetical: it produces nothing but conditional propositions. Charles Sanders Peirce ontology logic mathematics ALGEBRA is a general Method of Computation by certain Signs and Symbols which have been contrived for this Purpose, and found convenient. Colin Maclaurin ontology logic purpose No mercy goes unpunished by the angry gods. Critias ontology mercy god Mathematical science is in my opinion an indivisible whole, an organism whose vitality is conditioned upon the connection of its parts. David Hilbert ontology vitality connections We must revisit the idea that science is a methodology and not an ontology. Deepak Chopra ontology methodology ideas The enormous usefulness of mathematics in the natural sciences is something bordering on the mysterious and there is no rational explanation of it. Eugene Wigner ontology mysterious logic It is well known that the central problem of the whole of modern mathematics is the study of transcendental functions defined by differential equations. Felix Klein ontology logic study Utopia would seem to offer the spectacle of one of those rare phenomena whose concept is indistinguishable from its reality, whose ontology coincides with its representation. Fredric Jameson ontology utopia reality 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. Georg Cantor myopia ontology mind 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! Georg Cantor ontology lasts views There are no solved problems; there are only problems that are more or less solved. Henri Poincare ontology math knowledge 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 mathematics? If mathematics invokes only the rules of logic, such as are accepted by all normal minds...how does it come about that so many persons are here refractory? Henri Poincare ontology mind people Thought that accepts reality as given is no thought at all. Herbert Marcuse ontology logic reality A good proof is one that makes us wiser. IU?. I. Manin ontology proof logic Mystery is an inescapable ingredient of mathematics. Mathematics is full of unanswered questions, which far outnumber known theorems and results. It's the nature of mathematics to pose more problems than it can solve. Indeed, mathematics itself may be built on small islands of truth comprising the pieces of mathematics that can be validated by relatively short proofs. All else is speculation. Ivars Peterson ontology islands may 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. As you know, one of the principal things at stake in what is called in my texts 'deconstruction', is precisely the delimiting of ontology and above all of the third-person present indicative: S is P. Jacques Derrida ontology missing science You get what you expect. Expect to heal. Expect victory. Janet Morris ontology victory power 123»