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We have to distinguish between a man as he is in essence, and as he is in ego or personality. In essence, every person is perfect, fearless, and in a loving unity with the entire cosmos; there is no conflict within the person between head, heart, and stomach or between the person and others. Then something happens: the ego begins to develop, karma accumulates, there is a transition from objectivity to subjectivity; man falls from essence into personality.

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William Thurston

Math is really about the human mind, about how people can think effectively, and why curiosity is quite a good guide.

Guide, Math, People, Think, Thinking
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Mathematics is not about numbers, equations, computations, or algorithms: it is about understanding.

Computations, Equations, Mathematics, Numbers, Science, Understanding

The real satisfaction from mathematics is in learning from others and sharing with others.

Learning, Math, Mathematics, Real, Satisfaction, Sharing

The product of mathematics is clarity and understanding. Not theorems, by themselves. . . . In short, mathematics only exists in a living community of mathematicians that spreads understanding and breathes life into ideas both old and new.

Community, Ideas, Life, Living, Math, Theorems

You don't see what you're seeing until you see it but when you do see it, it lets you see many other things.

Lets, See, Seeing, Things

We humans have a wide range of abilities that help us perceive and analyze mathematical content. We perceive abstract notions not just through seeing but also by hearing, by feeling, by our sense of body motion and position. Our geometric and spatial skills are highly trainable, just as in other high-performance activities. In mathematics we can use the modules of our minds in flexible ways - even metaphorically. A whole-mind approach to mathematical thinking is vastly more effective than the common approach that manipulates only symbols.

Highly, Math, Skills, Thinking, Use
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