michael_nielsen on Twitter: "If all you knew was the roman numerals, how could you invent a better way of representing numbers? https://t.co/lqGokZjehm"

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michael_nielsen‏ @michael_nielsen May 26

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A short proof that the circuit for quantum teleportation works:https://twitter.com/michael_nielsen/status/1131784174203953153 …

michael_nielsen added,

michael_nielsen @michael_nielsen

Had some fun this afternoon re-analyzing the circuit for quantum teleportation. Here's a proof I found that the circuit works. The circuit to be verified: top two qubits are Alice's, including the state psi to be teleported. Bottom qubit is Bob's - want to show it outputs psi. pic.twitter.com/w7Bl3FPZ1B

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michael_nielsen‏ @michael_nielsen May 26

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Where does that teleportation circuit come from anyway? A short piece of Twitter discovery fiction, explaining a plausible story by which you might have come to discover the circuit for quantum teleportation in the first place:https://twitter.com/michael_nielsen/status/1132063254849527808 …

michael_nielsen added,

michael_nielsen @michael_nielsen

When trying to understand a scientific or mathematical result, I often find it helpful to write what I call discovery fiction.

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michael_nielsen‏ @michael_nielsen Jun 26

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Some preliminary analysis of how the mnemonic medium project (with @andy_matuschak) is working: https://twitter.com/michael_nielsen/status/1143989877500891137 …

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michael_nielsen‏ @michael_nielsen Jun 27

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I ask whether people without a mind's eye (aphantastics) are able to use memory palace techniques. Many of the replies were really remarkable!https://twitter.com/michael_nielsen/status/1144281873197096961 …

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michael_nielsen @michael_nielsen

Have any aphantastics tried visual mnemonic techniques, like the method of loci, memory palaces, etc? Do they work at all for you?

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michael_nielsen‏ @michael_nielsen Jun 27

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On the challenge of finding governance principles (including technical & architectural ideas) for the software layer mediating the systems that run our world:https://twitter.com/michael_nielsen/status/1144445213554798593 …

michael_nielsen added,

michael_nielsen @michael_nielsen

In 2012 I participated in a small group discussion led by @doctorow. I chanced into it, but he painted a picture I've thought about often in the years since, and that has changed the way I see the world.

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michael_nielsen‏ @michael_nielsen Jul 16

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"That study failed to replicate" is often treated as a condemnation. Reality is much more complicated, and failure to replicate means little, without much more information:https://twitter.com/michael_nielsen/status/993134787224190976 …

michael_nielsen added,

michael_nielsen @michael_nielsen

"The study failed to replicate" is something I often hear, usually with the implication the original study must have been bad, or had something wrong with it. This is a bad misunderstanding of what failure to replicate means.

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michael_nielsen‏ @michael_nielsen Jul 16

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On "The Science of Science":https://twitter.com/michael_nielsen/status/971949129751396352 …

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michael_nielsen @michael_nielsen

A few observations from "The Science of Science", a useful review article appearing in this week's Science: http://barabasi.com/f/939.pdf

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michael_nielsen‏ @michael_nielsen Aug 18

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Which books are startlingly better upon a much later reread? Many extremely thoughtful recommendations in the replies:https://twitter.com/michael_nielsen/status/1162965264306077696 …

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michael_nielsen @michael_nielsen

Examples of books (or stories) that you reread years later, & found to be much better? For me: Arrival (Ted Chiang, loved it even the first time); Speaker for the Dead (ditto: loved it at first, even more upon reread); the Great Gatsby (didn't like first time, loved the second)

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michael_nielsen‏ @michael_nielsen Aug 18

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Where's the best place to go for a night walk near San Francisco? Many thoughtful, generous replies:https://twitter.com/michael_nielsen/status/1162554181346942976 …

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michael_nielsen @michael_nielsen

Best place to go for a night walk near SF? Need a walk/think! (Driving distance is fine.)

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michael_nielsen‏ @michael_nielsen Sep 8

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michael_nielsen Retweeted Timothy Gowers

. @wtgowers's thread-of-threads exploring some fun observations about small sets of real numbers:https://twitter.com/wtgowers/status/1170687268702556164 …

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Timothy Gowers @wtgowers

Following the example of @michael_nielsen I want to try to organize certain of my tweets. This is the start of a super-thread of threads about small sets of real numbers, and I'm adding the tag #gowersmathstweets, which I'll try to do with all such tweets from now on.

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michael_nielsen‏ @michael_nielsen Sep 18

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If all you knew was the roman numerals, how could you invent a better way of representing numbers?https://twitter.com/michael_nielsen/status/1174420006907473920 …

michael_nielsen added,

michael_nielsen @michael_nielsen

Imagine you're a designer or mathematician living in ancient Rome. Being a curious & imaginative sort, used to exploring wild ideas, you ask yourself: is there some way you can improve on the roman numeral system? Might it be possible to find a better way of representing number?

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6:43 PM - 18 Sep 2019