Quotes by Mathematicians

There was a long history of speculation that in quantum gravity, unlike Einstein's classical theory, it might be possible for the topology of spacetime to change. Edward Witten
History Change Long Unlike Possible Classical Long History Quantum Einstein Might Theory Gravity Speculation
On the other hand, we don't understand the theory too completely, and because of this fuzziness of spacetime, the very concept of spacetime and spacetime dimensions isn't precisely defined. Edward Witten
Too Other Defined Dimensions Concept Because Understand Hand Very Precisely Theory
It's so hard to figure out what's going on in biological systems. You just can't see them. Erez Lieberman Aiden
You Out Systems See Going Just Them Hard Figure Biological
You have to understand that the I.D.W. emerged as a response to a world where perfectly reasonable intellectuals were being regularly mislabeled by activists, institutions, and mainstream journalists with every career-ending epithet from 'Islamophobe' to 'Nazi.' Eric Weinstein
You World Every Response Emerged Mainstream Perfectly Journalists Institutions Understand Were Intellectuals Being Where Regularly Reasonable Activists
If you're allowing the political environment to infect your relationships, it's time to bury the hatchets. Eric Weinstein
Time You Political Relationships Allowing Environment Infect Bury Your
Love is so important. Eric Weinstein
Love Love Is Important
The greatest mathematicians, as Archimedes, Newton, and Gauss, always united theory and applications in equal measure. Felix Klein
Equal Greatest Always Mathematicians Newton Measure Theory United Applications
Pure mathematics is on the whole distinctly more useful than applied. For what is useful above all is technique, and mathematical technique is taught mainly through pure mathematics. G. H. Hardy
Mathematics Pure Above More Through Mainly Mathematical Than Taught Useful Whole Technique Applied
A mathematician, like a painter or a poet, is a maker of patterns. If his patterns are more permanent than theirs, it is because they are made with ideas. G. H. Hardy
Made Poet More Like Ideas Because Maker Permanent His Mathematician Than Patterns Painter
Young men should prove theorems, old men should write books. G. H. Hardy
Old Men Young Books Write Prove Young Men Old Men Should Theorems
No matter how correct a mathematical theorem may appear to be, one ought never to be satisfied that there was not something imperfect about it until it also gives the impression of being beautiful. George Boole
Beautiful Matter Satisfied Ought Correct About Something Gives Imperfect Never Until Also How Mathematical Impression May Being Being Beautiful Theorem Appear
To unfold the secret laws and relations of those high faculties of thought by which all beyond the merely perceptive knowledge of the world and of ourselves is attained or matured, is a object which does not stand in need of commendation to a rational mind. George Boole
Knowledge World Mind Thought Relations Secret Those Ourselves High Object Laws Perceptive Rational Attained Faculties Merely Beyond Does Matured Unfold Which Stand Need
In the mid-'60s in Berkeley, the theory of measure spaces of economic agents became one of my main interests. Gerard Debreu
Berkeley Economic Main Became Spaces Agents Interests Measure Theory
The Cowles Commission was the optimal environment for the type of research that I wanted to do. Gerard Debreu
Research Type Environment Optimal Commission Wanted
The 'interactive fiction' format hasn't changed in any fundamental way since the early 1970s, in the same way that the format of the novel hasn't since 1700. Graham Nelson
Changed Way Since Same Any Fiction Interactive Format Novel Fundamental Early
A deliberate choice on my part was for the player to continue to find new possibilities in the early Attic rooms far into the game. I think this builds atmosphere, though it means there's no neat division of the prologue from the middle game. Graham Nelson
Game Think Though Possibilities Find Atmosphere Deliberate Division Part Attic New Builds Continue New Possibilities Middle Rooms Far Choice Means Neat Player Early
Eventually I found it had been working all along-but didn't show anything on screen until it had the first full page of text. I inserted 30 new lines, and suddenly my toy said 'hEllO woRlD'. An hour later I understood alphabet shifting rather better! Graham Nelson
World Better First Shifting On-Screen Later Inserted Rather Had New Hour Toy Until Alphabet Said Understood Been Lines Text Screen Anything Working Page Full Hello Show Suddenly Found Eventually
For a fortnight nobody at all emailed me, or posted a follow-up. Doesn't anyone care, I thought? It turned out my newsreader was broken, and hadn't posted at all. Graham Nelson
Me Broken Care Thought Emailed Out Posted Follow-Up Nobody Anyone Turned Fortnight
If pushed, though, I'd say that the next stage will be reached when it it's no longer true that about 75% of the best games were written in 1980's on the way to that. Graham Nelson
Best Will Stage Way Say Though About Pushed Written True Longer Reached Were Next Games
What I would pay much more attention to are the few points where the player can inadvertently make a career decision. Most players end up back-tracking, though some actually enjoy this. Graham Nelson
Decision Few Pay Enjoy Though Would Some More Points Attention Most Make End Up Where Inadvertently Much Actually Player Players Career
Writing a really general parser is a major but different undertaking, by far the hardest points being sensitivity to context and resolution of ambiguity. Graham Nelson
Writing General Points Major Context Undertaking Ambiguity Being Different Sensitivity Far Really Hardest Resolution
A small error in the former will produce an enormous error in the latter. Henri Poincare
Will Enormous Latter Small Error Former Produce
How is an error possible in mathematics? Henri Poincare
Mathematics Possible How Error
Point set topology is a disease from which the human race will soon recover. Henri Poincare
Will Recover Point Soon Disease Human Which Race Human Race Set
The mind uses its faculty for creativity only when experience forces it to do so. Henri Poincare
Experience Creativity Mind Only Faculty Forces Uses
A sane mind should not be guilty of a logical fallacy, yet there are very fine minds incapable of following mathematical demonstrations. Henri Poincare
Logical Mind Minds Guilty Fine Following Demonstrations Fallacy Mathematical Very Incapable Sane Should
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