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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.
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This Scottish duo aim to cram deep ideas into light-hearted pop songs.
"Some of the most beautiful and deep ideas of the 20th century come from engineering.
To me, the main point of this problem is to appreciate the deep ideas that we tend to take for granted.
Good genre fiction can show you that deep ideas, like what's found in good art, aren't nearly as far away as they sometimes look, and that they're always worth reaching for.
Indeed, it is important to distinguish the Turing test from the much more serious and deeper ideas that Turing proposed about the construction of a computer; these ideas involved an account not merely of a system's behaviour but of how that behaviour might be produced internally.
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".
And his attacks on certain deep ideas that he finds uncongenial — the theory of truth advanced by the great 20th-century logician Alfred Tarski, say, or the doctrine of an innate "language of thought," championed by Steven Pinker among others — have a facile hit-and-run quality.
"The very thing the public would most like to see – spontaneity, deep ideas, a focus on the longer term – is often the stuff least easy to portray in modern politics due to the nature of the media cycle," she told Guardian Australia.
One of his favorite "deep" ideas: Fanning Reef sandals, which have a bottle opener built into the sole.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com