I had a feeling once about mathematics - that I saw it all... but it was after dinner and I let it go.
I never thought that others would take my theories so much more seriously than I did.
I think I think, therefore I think I am.
In my experience most mathematicians are intellectually lazy.
Man discovers truth by reason only, not by faith.
Mathematics is distinguished from all other sciences except only ethics, in standing in no need of ethics.
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.
One of the big misapprehensions about mathematics that we perpetrate in our classrooms is that the teacher always seems to know the answer to any problem that is discussed.
Perhaps the most surprising thing about mathematics is that it is so surprising.
The advantage is that mathematics is a field in which one's blunders tend to show very clearly and can be corrected or erased with a stroke of the pencil.
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.
The will of man is by his reason swayed.
Whatever you can, count.
A trial is still an ordeal by battle. For the broadsword there is the weight of evidence; for the battle-ax the force of logic; for the sharp spear, the blazing gleam of truth; for the rapier, the quick and flashing knife of wit.
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.
My heart, independent of my logic, had reserved a place for my tormentor and my solace.
No sentence can be effective if it contains facts alone. It must also contain emotion, image, logic, and promise.
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.
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