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To me, the main point of this problem is to appreciate the deep ideas that we tend to take for granted.
Phil Vahey, a senior research scientist at SRI international, the US research institute behind the maths project, said: "In traditional mathematics there is a lot of focus on graphs and algebraic representation, which is of course incredibly important, but if you only focus on these it's very hard for students to understand the deep ideas behind it".
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Does wine, like great art, illuminate the deepest ideas of what it means to be human?
A child who learns to program "both acquires a sense of mastery over a piece of the most modern and powerful technology and establishes an intimate contact with some of the deepest ideas from science, from mathematics, and from the art of intellectual model building," Papert wrote in his book, "Mindstorms," which was published in 1980.
But I remain hopeful that more forward-thinking CEOs will hear the deeper ideas he is proposing.
Keltner's approach to touch turns on the deeper idea that consciousness itself is "exteriorized"—that we are alive in relation to others, not in relation to some imagined inner self, the homunculus in our heads.
The "deeper idea of reciprocity" (JF 124) implicit in the difference principle has just the opposite tendencies: the more advantaged may not gain at any point unless their gains benefit the least advantaged and benefit them maximally, better than any alternative arrangement of institutions.
"Some of the most beautiful and deep ideas of the 20th century come from engineering.
At the end of the article, Berman asks who in the West is going to speak up as the counterbalance to the deep philosophical ideas articulated by Qutb and being acted upon by Zarqawi and others.
One of his favorite "deep" ideas: Fanning Reef sandals, which have a bottle opener built into the sole.
This Scottish duo aim to cram deep ideas into light-hearted pop songs.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com