[FOM] vagueness in mathematics?
walt.read at gmail.com
Sun Feb 12 19:10:04 EST 2017
On Fri, Feb 10, 2017 at 8:12 PM, <W.Taylor at math.canterbury.ac.nz> wrote:
> Stewart Shapiro <shapiro.4 at osu.edu> raises an interesting point:
>> Mathematics goes to great lengths to avoid any kind of vagueness or
>> indeterminacy. In what sense has it succeeded or not succeeded?
>> Doesn't vagueness enter in to almost every other subject?
> To the second sentence - almost every appearance of vagueness is rapidly
> sorted out by appropriate distinguishing definitions, (as SS goes on to
I'm not sure how rapidly things get sorted out. Zermelo's notion of
"definite property" seems to have hung on for a while before being
clarified, while still allowing math to be done. And of course
"algorithm" was a central notion long before any rigorous definition
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