[FOM] Queries for a constructivist
W.Taylor at math.canterbury.ac.nz
Fri Oct 21 22:51:45 EDT 2005
2 queries: Would an intuitionist assent to either of these...
A: It is meaningful to say of a mathematical proposition:
"There is a (constructive) proof of this statement but no-one has
yet found one."
B: Every mathematical statement is in exactly one of these 3 states:
(c) It has been (constructively) proved;
(d) It has been (constructively) refuted;
(e) It is in neither of states (c) or (d).
Would the answers to either be different, if we had specified
a non-intuitionist constructivist?
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