[FOM] Queries for a constructivist

Bill Taylor 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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