"Perhaps twenty or thirty people in England may be expected to read this book." G.H. Hardy's review of Whitehead and Russell's
Principia Mathematica, published in the Times Literary Supplement 100 years ago last week. "The time has passed when a philosopher can afford to be ignorant of mathematics, and a little perseverance will be well rewarded. It will be something to learn how many of the spectres that have haunted philosophers modern mathematics has finally laid to rest."
posted by escabeche
on Sep 12, 2011 -
29 comments
Correlative Analytics -- or as O'Reilly might term the
Social Graph -- sort of mirrors the debate on 'brute force'
algorithmic proofs (that are "
true for no reason,"
cf.) in which "computers can extract patterns in this ocean of data that no human could ever possibly detect. These patterns are correlations. They may or may not be
causative, but we can learn new things. Therefore they accomplish what science does, although not in the traditional manner... In this part of science, we may get answers that work, but which we don't understand. Is this partial understanding? Or
a different kind of
understanding?" Of course, say some in the scientific community:
hogwash; it's just a fabrication of scientifically/statistically illiterate pundits, like whilst new techniques in
data analysis are being developed to help keep ahead of the deluge...
posted by kliuless
on Jul 21, 2008 -
40 comments
Dr James Anderson, from the University of Reading's computer science department, claims to have defined what it means to divide by zero. It's so simple, he claims, that he's even
taught it to high school students [via Digg]. You just have to work with a new number he calls
Nullity (RealPlayer video). According to Anderson's site
The Book of Paragon, the creation, innovation, or discovery of nullity is a step toward describing a "perspective simplex, or perspex [ . . . ] a simple physical thing that is both a mind and a body." Anderson claims that Nullity permits the definition of
transreal arithmetic (pdf), a "total arithmetic . . . with no arithmetical exceptions," thus removing what the fictional dialogue
No Zombies, Only Feelies? identifies as the "homunculus problem" in mathematics: the need for human intervention to sort out "corner cases" which are not defined.
posted by treepour
on Dec 7, 2006 -
63 comments
Mathematical beauty in science (NYTimes) Though I can't say I've seen a moment of God's glory in finding a balanced checkbook (on the first go), I have been in academia in physics and math enough to know the almost mystical pleasure its practitioners get from the "unreasonable effectiveness of mathematics", and the simplicity and elegance of the equations at its core. I was wondering -- are there other fields where this occurs, where people get the feeling they've tapped into some bare beauty of nature? Philosophy? Art? Architecture?
posted by meep
on Mar 26, 2002 -
24 comments
Laws of Form In 1969, George Spencer-Brown published a mathematical book called
Laws of Form, which has inspired explorations in philosophy, cybernetics, art, spirituality, and computation. The work is powerful and has established a passionate following as well as harsh critics. This web site explores these people, their ideas and history, and provides references for further exploration. I read this then, didn't understand much of the math due to my innumeracy, but was struck by a passage in passing... I especially am curious to see what the numerate in MetaFilter have to say.
posted by y2karl
on Nov 11, 2001 -
18 comments
