A Counterexample t o All Future Dynamic Systems Theories of Cognition

Download Edit this record How to cite View on PhilPapers
Abstract
Years ago, when I was an undergraduate math major at the University of Wyoming, I came across an interesting book in our library. It was a book of counterexamples t o propositions in real analysis (the mathematics of the real numbers). Mathematicians work more or less like the rest of us. They consider propositions. If one seems to them to be plausibly true, then they set about to prove it, to establish the proposition as a theorem. Instead o f setting out to prove propositions, the psychologists, neuroscientists, and other empirical types among us, set out to show that a proposition is supported by the data, and that it is the best such proposition so supported. The philosophers among us, when they are not causing trouble by arguing that AI is a dead end or that cognitive science can get along without representations, work pretty much like the mathematicians: we set out to prove certain propositions true on the basis of logic, first principles, plausible assumptions, and others' data. But, back to the book of real analysis counterexamples. If some mathematician happened t o think that some proposition about continuity, say, was plausibly true, he or she would then set out to prove it. If the proposition was in fact not a theorem, then a lot of precious time would be wasted trying to prove it. Wouldn't it be great to have a book that listed plausibly true propositions that were in fact not true, and listed with each such proposition a counterexample to it? Of course it would.
Keywords
No keywords specified (fix it)
PhilPapers/Archive ID
DIEACT
Revision history
Archival date: 2011-02-19
View upload history
References found in this work BETA
In Defense of Representation.Markman, Arthur B. & Dietrich, Eric

Add more references

Citations of this work BETA

No citations found.

Add more citations

Added to PP index
2010-12-22

Total views
243 ( #12,855 of 40,652 )

Recent downloads (6 months)
12 ( #31,906 of 40,652 )

How can I increase my downloads?

Downloads since first upload
This graph includes both downloads from PhilArchive and clicks to external links.