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Gregory Chaitin - Is Mathematics Invented or Discovered?

Closer To Truth

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  • Recommended by 1 person: 1 on Hacker News.
  • Presented by Gregory Chaitin, mathematician and computer scientist
  • An opinion. It argues one side of a question engineers disagree on.

Beginner. No background in the topic needed.

53K views7 years ago1 recommendation

Computer scienceHistory and cultureComputation and complexityMath for programmers

Gregory Chaitin discusses whether mathematics is invented or discovered and how it relates to the nature of reality.

Donate to Closer To Truth and help us keep our content free and without paywalls: shorturl.at/OnyRq Free access to Closer to Truth's library of 5,000 videos: bit.ly/376lkKN Mathematics describes the real world of atoms and acorns, stars and stairs, with remarkable precision. So is mathematics invented by humans just like chisels and hammers and pieces of music? Or is mathematics discovered—always out there, somewhere, like mysterious islands waiting to be found? Whatever mathematics is will help define reality itself. Watch more interviews on the origin of mathematics: bit.ly/345xfse Gregory John Chaitin is an Argentine-American mathematician and computer scientist. Beginning in the late 1960s, Chaitin made contributions to algorithmic information theory and metamathematics, in particular a new incompleteness theorem in reaction to Gödel's incompleteness theorem. Register for free at CTT.com for subscriber-only exclusives: bit.ly/2GXmFsP Closer to Truth presents the world’s greatest thinkers exploring humanity’s deepest questions. Discover fundamental issues of existence. Engage new and diverse ways of thinking. Appreciate intense debates. Share your own opinions. Seek your own answers.

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1 person recommends this

What people say. Recommended for its nuanced take on the philosophy of mathematics and the connection between pure math and reality.

skoodgeon Hacker News • Recommends

On “Platonism in the Philosophy of Mathematics (2018)”

Gregory Chaitin has an interesting take on this: "The only place where medieval theology survives is pure math." link to this video (The whole interview is actually quite nuanced on the question of whether math is discovered or invented and well worth a watch. There are also interviews with other mathematicians and physicists in the series, for example with Roger Penrose, but most other researchers seem to hold a rather dogmatic and platonist view, which is why I found Chaitin's perspective refreshing.)
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throw0101aon Hacker News • Mentions

On “Roger Penrose – Is Mathematics Invented or Discovered? [video]”

Entire playlist: * link Gregory Chaitin was interesting as well: * link to this video The (apocryphal?) story about Godel not believing in empirical science and only in a priori truths was interesting.
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seg_lolon Hacker News • Mentions

On “Programming language notation is a barrier to entry”

…hat it was grounded in the same basis of knowledge as the receiver? Might some of those signaling mechanisms be the norms and affectations of each branch of study? You have given me some things to think about 2 1 link 2 link 3 Looks like they have some thought provoking books and interviews link Is Mathematics Invented or Discovered? link to this video 4 A physicist looks at linguistics through a complexity lens link link…
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