Computers are providing solutions to math problems that we can't check
- "A computer has solved the longstanding Erdős discrepancy
problem! Trouble is, we have no idea what it's talking about — because the solution, which is as long as all of Wikipedia
's pages combined, is far too voluminous
for us puny humans
to confirm." (via
Using computer systems for doing mathematical proofs
- "With the proliferation of computer-assisted proofs
that are all but impossible to check by hand, Hales thinks computers must become the judge." [more inside]
In the early 1960s, actor/comedian/writer/composer/TV-star Steve Allen recorded How to Think
, an educational album about the brain and the mind. [more inside]
How to Talk to a Climate Sceptic
: "...a handy one-stop shop for all the material you should need to rebut the more common anti-global warming science arguments constantly echoed across the internet."
In a breathless, passionate, yet level-headed 15 part series, YouTube user, paleontologist, ex-Christian, and potential Space Coyote
presents an uncommonly well-written and presented argument against what he identifies as the 14 "Fundamental Falsehoods of Creationism." [more inside]
"The pre-Socratic philosopher
sparked an intellectual revolution
that still echoes today. Yet for philosophy and science to continue to progress in the 21st century, we may need to embark on an entirely new cognitive journey ."
Godel's theorems have been used to extrapolate a great many
"truths" about the world. Torkel Franzen
sets the record straight
in his new book Godel's Theorem: An Incomplete Guide to Its Use and Abuse
. Read the introduction
(PDF). If you want, check out his explanation
of the theorems.
The Logic of Diversity
"A new book, The Wisdom of Crowds
] by The New Yorker
columnist James Surowiecki, has recently popularized the idea that groups can, in some ways, be smarter than their members, which is superficially similar to Page's results
. While Surowiecki gives many examples of what one might call collective cognition, where groups out-perform isolated individuals, he really has only one explanation for this phenomenon, based on one of his examples: jelly beans [...
] averaging together many independent, unbiased guesses gives a result that is probably closer to the truth than any one guess. While true — it's the central limit theorem
of statistics — it's far from being the only way in which diversity
can be beneficial in problem solving." (Three-Toed Sloth)