What did Gödel show with his first incompleteness theorem?

By Philippos Papayannopoulos It's very common to read and hear people talking about Kurt Gödel's famous (first) incompleteness theorem, in popular media, books, discussions, etc. Which is a very good thing I think, given how wonderful and ingenious the ideas and the reasoning behind this theorem are. But even though it's more than almost 85 [...]

2016-11-16T10:03:38-05:00November 16th, 2016|Logic, Philosophy of Mathematics, Popular science|

“A new upgrade of your universe is now available!” – A post about the simulation universe hypothesis, computing systems, and the Isaac Asimov debate.

By Philippos Papayannopoulos This year’s (2016) Isaac Asimov memorial debate was dedicated to the question “Is the Universe a Simulation?”. A recent article in The Guardian (Oct 11, 2016) also was about the exact same question. In this post I discuss this hypothesis, but with an eye on how the question was pursued during the [...]

2016-11-20T01:19:56-05:00November 15th, 2016|Philosophy of Computation, Popular science|
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