Logic is the foundation of the certainty of all the knowledge we acquire.
Schools train people to be ignorant, with style. They give you the equipment that you need to be a functional ignoramus. American schools* do not equip you to deal with things like logic; they don't give you the criteria by which to judge between good and bad in any medium or format; and they prepare you to be a usable victim for military-industrial complex that needs manpower.
His musical inspiration operates in a world uncluttered by conventional bar lines, conventional chord changes, and conventional ways of blowing or fingering a saxophone. Such practical 'limitations' did not even have to be overcome in his music; they somehow never existed for him. Despite this - or more accurately, because of this - his playing has a deep inner logic. Not an obvious surface logic, it is based on subtleties of reaction, subtleties of timing and color that are, I think, quite new to jazz - at least they have never appeared in so pure and direct a form.
All beauty, resonance, integrity, Exist by deprivation or logic Of strange position.
Stories are there to be told, and each story changes with the telling. Time changes them. Logic changes them. Grammar changes them. History changes them. Each story is shifted side-ways by each day that unfolds. Nothing ends. The only thing that matters, as Faulkner once put it, is the human heart in conflict with itself. At the heart of all this is the possibility, or desire, to create a piece of art that talks to the human instinct for recovery and joy.
If there is a problem you can't solve, then there is an easier problem you can't solve: find it.
A GREAT discovery solves a great problem but there is a grain of discovery in any problem.
The theory of high-intensity, anaerobic, bodybuilding exercise is not true because I or anyone else, no matter how many might agree, say it is true. It is the fact that the logic of the theory is unassailable which makes it true.
Logic is an old subject, and since 1879 it has been a great one.
There's a logic to dreams that doesn't necessarily follow linear narrative. You don't know why things happen, it's your subconscious pushing you, to give you information.
Mathematics consists in proving the most obvious thing in the least obvious way.
In life two negatives don't make a positive. Double negatives turn positive only in math and formal logic. In life things just get worse and worse and worse.
Brevity is the soul of command. Too much talking suggests desperation on the part of the leader. Speak shortly, decisively and to the point–and couch your desires in such natural logic that no one can raise objections. Then move on.
The trouble with facts is that there are so many of them.
At the moment, every country arrives at climate negotiations seeking to keep their own emissions as high as possible. This is the logic of the madhouse, a recipe for collective suicide. We dont want a global suicide pact. We want a global survival pact
To make music means to express human intelligence by sonic means. This is intelligence in its broadest sense, which includes not only the peregrinations of pure logic but also the "logic" of emotions and intuition. My musical techniques, although often rigorous in their internal structure, leave many openings through which the most complex and mysterious factors of the intelligence may penetrate.
Mathematics is a more powerful instrument of knowledge than any other that has been bequeathed to us by human agency.
Mathematics - this may surprise or shock some - is never deductive in creation.
Mathematics is a body of knowledge, but it contains no truths.
"I see it, but I don't believe it."
...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.
Logic doesn't apply to the real world.
Arithmetic is where the content lies, and not logic; but logic prompts certainty, and not arithmetic.
I do not believe in the gifted. If [the students] have ganas, I can make them do it.
If logic itself is created rather than being inborn, it follows that the first task of education is to form reasoning.
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