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I was thinking about framing, and how so much of what we think about our lives and our personal histories revolves around how we frame it. The lens we see it through, or the way we tell our own stories. We mythologize ourselves. So I was thinking about Persephone's story, and how different it would be if you told it only from the perspective of Hades. Same story, but it would probably be unrecognizable. Demeter's would be about loss and devastation. Hades's would be about love.

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Keith Devlin

I firmly believe that mathematics does not exist outside of humans. It is something we, as a species, invent.

Believe, Doe, Humans, Invent, Mathematics
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Like a Shakespearean sonnet that captures the very essence of love, or a painting that brings out the beauty of the human form that is far more than just skin deep, Euler's Equation reaches down into the very depths of existence.

Beauty, Depth, Depths, Essence, Like, Skins

Just as music comes alive in the performance of it, the same is true of mathematics. The symbols on the page have no more to do with mathematics than the notes on a page of music. They simply represent the experience.

Alive, Math, Notes, Pages, Same, True

Mathematical thinking is not the same as doing mathematics - at least not as mathematics is typically presented in our school system. School math typically focuses on learning procedures to solve highly stereotyped problems. Professional mathematicians think a certain way to solve real problems, problems that can arise from the everyday world, or from science, or from within mathematics itself. The key to success in school math is to learn to think inside-the-box. In contrast, a key feature of mathematical thinking is thinking outside-the-box - a valuable ability in today's world.

Arise, Education, Presented, Real, School

I certainly do care about measuring educational results. But what is an 'educational result?' The twinkling eyes of my students, together with their heartfelt and beautifully expressed mathematical arguments are all the results I need.

Care, Educational, Eye, Eyes, Result, Science

A PhD in Mathematics is three years of guessing it wrong, plus one week of getting it right and writing a dissertation.

Three, Week, Writing, Wrong, Years
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