"Ganas is all you need."
I do not believe in the gifted. If [the students] have ganas, I can make them do it.
"I see it, but I don't believe it."
The miracle of the appropriateness of the language of mathematics for the formulation of the laws of physics is a wonderful gift which we neither understand nor deserve.
Most likely, logic is capable of justifying mathematics to no greater extent than biology is capable of justifying life.
If I could prove by logic that you would die in five minutes, I should be sorry you were going to die, but my sorrow would be very much mitigated by pleasure in the proof.
Mathematical science is in my opinion an indivisible whole, an organism whose vitality is conditioned upon the connection of its parts.
Arithmetic is where the content lies, and not logic; but logic prompts certainty, and not arithmetic.
...mathematics is distinguished from all other sciences except only ethics, in standing in no need of ethics. Every other science, even logic, especially in its early stages, is in danger of evaporating into airy nothingness, degenerating, as the Germans say, into an arachnoid film, spun from the stuff that dreams are made of. There is no such danger for pure mathematics; for that is precisely what mathematics ought to be.
Ordinary language is totally unsuited for expressing what physics really asserts, since the words of everyday life are not sufficiently abstract. Only mathematics and mathematical logic can say as little as the physicist means to say.
Analytic It is clear that the definition of "logic" or "mathematics" must be sought by trying to give a new definition of the old notion of "analytic" propositions.
Formality Thus the absence of all mention of particular things or properties in logic or pure mathematics is a necessary result of the fact that this study is, as we say, "purely formal".
What would mathematics have amounted to without the imagination of its devotees-its giants and their followers? There never was a discovery made without the urge of imagination-of imagination which broke the roadway through the forest in order that cold logic might follow.
The theoretician believes in logic and believes that he despises dreams, intuition, and poetry. He does not recognize that these three fairies have only disguised themselves in order to dazzle him.... He does not know that he owes his greatest discoveries to them.
Logic has made me hated in the world.
If such external influences are intrinsic to religion, then logic and scientific thought dictate that there must be a mechanism by which this influence is transmitted. A religious or spiritual belief that involves an invisible undetectable force that nonetheless influences human actions and behavior or that of the world itself produces a situation in which a believer has no choice but to have faith and abandon logic--or simply not care.
Scientists actively approach the door to knowledge—the boundary of the domain of what we know. We question and explore and we change our views when facts and logic force us to do so. We are confident only in what we can verify through experiments or in what we can deduce from experimentally confirmed hypotheses.
The minute you take away somebody the public's voting for, you're screwing with the program. There's no logic to it.
There is perhaps no field aspiring to be scientific where flagrant personal bias, logic martyred in the cause of supporting a prejudice, unfounded assertions, and even sentimental rot and drivel, have run riot to such an extent as here.
The circumstances of human society are too complicated to be submitted to the rigor of mathematical calculation.
But, in fact, materialism is among the most problematic of philosophical standpoints, the most impoverished in its explanatory range, and among the most willful and (for want of a better word) magical in its logic, even if it has been in fashion for a couple of centuries or more.
Zionism itself has paradoxically come to adopt some antisemitic logic in its hatred of Jews who do not fully identify with the politics of the state of Israel. Their target, the figure of the Jew who doubts the Zionist project, is constructed in the same way as the European antisemites constructed the figures of the Jew – he is dangerous because he lives among us, but is not really one of us.
Knowledge is awareness, and to it there are many paths, not all of them paved with logic.
Pop is everything art hasn't been for the last two decades...It springs newborn out of a boredom with the finality and over-saturation of Abstract-Expressionism, which, by its own esthetic logic, is the END of art, the glorious pinnacle of the long pyramidal creative process. Stifled by this rarefied atmosphere, some young painters turn back to some less exalted things like Coca-Cola, ice-cream sodas, big hamburgers, super-markets and 'EAT' signs. They are eye-hungry; they pop.
You can be totally rational with a machine. But if you work with people, sometimes logic often has to take a backseat to understanding.
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