Man discovers truth by reason only, not by faith.
Mathematics may be compared to a mill of exquisite workmanship, which grinds your stuff to any degree of fineness.
Nothing has afforded me so convincing a proof of the unity of the Deity as these purely mental conceptions of numerical and mathematical science.
The best defense against logic is ignorance.
The concept of number is the obvious distinction between the beast and man.
The fact is there are few more popular subjects than mathematics. Most people have some appreciation of mathematics, just as most people can enjoy a pleasant tune.
Whatever you can, count.
Today the major reason for our interest in Flatland is that for the first time we can achieve some of the dreams of our ancestors a century ago and obtain direct visual experience of phenomena in a dimension higher than our own.
Catastrophe Theory is-quite likely-the first coherent attempt (since Aristotelian logic) to give a theory on analogy. When narrow-minded scientists object to Catastrophe Theory that it gives no more than analogies, or metaphors, they do not realise that they are stating the proper aim of Catastrophe Theory, which is to classify all possible types of analogous situations.
Logic is the kingdom of the unexpected. To think logically means to be continually amazed.
Myth is the practical metabolism of our soulish life, the logic of our obsessions and oversights for which we have no language or code. Myth is the "morality" that the ineffable puts upon us, our unaccountable imperatives, our inexplicably selective clarity and obscurity, the mortal one-sidedness of our talents and wits, the passion and apathy that make such a transient passage through our hapless minds; that weave a pattern of fatality others will see before we do. Myth is distinctively human or sublime higher-order instinct, the "reason" in culture that reason knows not of.
If you look at a multi-player game, it's the people who are playing the game who are often more valuable than all of the animations and models and game logic that's associated with it.
So how do theists respond to arguments like this? [The Argument from Evil] They say there is a reason for evil, but it is a mystery. Well, let me tell you this: I'm actually one hundred feet tall even though I only appear to be six feet tall. You ask me for proof of this. I have a simple answer: it's a mystery. Just accept my word for it on faith. And that's just the logic theists use in their discussions of evil.
Books on scientific photography with such beauty, breadth, and insight are rare. Felice Frankel's Envisioning Science is chock full of mind-boggling images and valuable information--not only for curious artists, students, and lay people, but also for seasoned researchers and photographers. The eclectic Frankel is both a scientist and photographer, and with the cold logic of the one and the inspired vision of the other, she covers an array of topics sure to stimulate your imagination and sense of wonder at the incredible vastness of the physical world.
With his new CD 'Tactiles' Liberty Ellman emerges as one of the most intriguing, albeit unorthodox, guitarists on the New York scene today. An album of original, esoteric compositions marked by dense polyrhythms, dissonant, angular lines and an organic logic that ties the whole thing together in brilliant fashion.
Even though most people who reject Christianity treat it as a refuge for enemies of reason, the truth is that there may be no worldview in the history of the human race that has a higher regard for the laws of logic.
When I studied how to think in school, I was taught that the first rule of logic was that a thing cannot both be and not be at the same time and in the same respect. That last note, “in the same respect,” says a lot. As soon as you change the frame of reference, you’ve changed the truthiness of a once immutable fact.
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.
Most people in the world believe that if there is a God, you relate to God by being good. Most religions are based on that principle, though there are a million different variations on it...But they all have the same logic: If I perform, if I obey, I’m accepted. The gospel of Jesus is not only different from that but diametrically opposed to it: I’m fully accepted in Jesus Christ, and therefore I obey.
I'm supposed to be a scientific person but I use intuition more than logic in making basic decisions.
Eventually, Aristotle appeared among the Greeks. He improved the methods of logic and systematized its problems and details. He assigned to logic its proper place as the first philosophical discipline and the introduction to philosophy. Therefore he is called the First Teacher.
Mathematics consists in proving the most obvious thing in the least obvious way.
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