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Keith
Devlin, Senior Researcher and Executive Director of the Stanford Center for the Study of
Language and Information (CSLI); Consulting Professor in the
Stanford Department
of Mathematics; Co-founder of the Stanford Media X
research network and of the university's H-STAR
institute.
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| What
is it? |
How
does a bunch of grey matter in our skulls have the ability to solve
mathematical problems? Are we the only species that can? Does catching
a baseball require doing calculations? Join John, Ken, and their guest,
noted cognitive scientist and NPR's "Math Guy" Keith Devlin, as they
discuss the many ways our minds can do the math.
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Listening
Notes
Ken
begins the program with a quote from Galileo, who once said that math
is the language God used to write the universe. This idea
resonates with Ken, when he thinks about the lives of ants and hawks
and bees it seems to him that animals must be sophisticated
mathematical calculators. John is so sure. If the
universe
where based on mathematics we would see world of symbols and numbers
and equations, but the world doesn’t look anything like that
at
all. And why is math so hard if all animals are wired to do
it?
Guest Keith Devlin joins the program, and John asks Devlin if Galileo
had it right. Devlin takes a third stance, he believes that
math
tells us more about the human mind than the world outside if
it.
Math is the science of patterns, patterns exist in the world and we use
math to pick them out.
Thinking back to Ken’s idea that animals are mathematical
calculators, John asks Devlin whether there is a line we
could
draw between doing mathematics and following mathematical
principles. Devlin agrees with John, but says that
it’s a
fuzzy line. We could say an animal like a hawk is doing
mathematics when it swoops down to catch its prey. On one
hand is
seems that the hawk must be using trigonometry to accomplish that task
but on the other hand we human beings are just using mathematical
principles to explain the hawk’s behavior.
Ken notes that Devlin seems to think our brains are built for math in
the same way that our minds are built for language. Devlin
agrees, and takes that idea a step further. He believes that
our
mathematic abilities are derivative of the fact we have a language
capacity. All of us are wired for math and math comes
naturally
to all of us. Most of us experience some difficulty
learning mathematics in school because written math is symbolic. Our
brains are wired for math because they are wired for patterns, but it
takes practice and skill to learn to manipulate mathematical
symbols. The symbols are difficult, not the math itself.
- Zoe
Corneli the Roving Philosophical Reporter
(seek to 3:43) – Zoe speaks with Patrick Suppes, Director of
the
Institute for Mathematical Studies in the Social Sciences at Stanford
University.
- Ian
Shoals the Sixty-Second Philosopher (seek to 41:27)
– Ian visits the studio live to fill us in on the finer
points of pledging to KALW.
Additional
Resources
Internet Resources
Books

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