[FOM] Mathematical explanation
neilt at mercutio.cohums.ohio-state.edu
Tue Oct 25 09:01:12 EDT 2005
On Mon, 24 Oct 2005, mjmurphy wrote:
> ... there is an example of Searle's (borrowed from Wittgenstein, but I
> don't quite know where). The example involves the mathematical proposition
> 3 + 4.
That's not a proposition, but let's not bother ...
> Imagine two overlapping circles, A and B. A contains three dots, B
> four. However, two of the dots fall into the area where A and B overlap.
> Here, Searle and LW contend, A + B = 5.
The sum of two circles cannot be a number. If you mean, instead (on
behalf of Searle and LW), that the sum of the number of dots in circle A
and the number of dots in circle B is 5, then of course that's a howler.
The sum of the number of dots in circle A and the number of dots in circle
B is 7.
If you could supply a reference for this howler in Wittgenstein's
writings, it would be most useful. It would reveal a remarkable, not to
say incomprehensible, degree of conceptual/mathematical illiteracy on the
part of one regarded as a philosophical genius, who held the genius Frege
in such high regard.
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