For practical purposes the rejection of induction seems trivial. For all real problems I will only ever be concerned about a finite number of numbers. I can prove the numbers in the particular problem I am working on are all fitting whatever criteria I need them to fit without relying on induction. I only need induction if I want to think that infininity means something beyond just Really A Whole Lot, or Really Really Big.
This seems to be intuitionist.
For practical purposes the rejection of induction seems trivial. For all real problems I will only ever be concerned about a finite number of numbers. I can prove the numbers in the particular problem I am working on are all fitting whatever criteria I need them to fit without relying on induction. I only need induction if I want to think that infininity means something beyond just Really A Whole Lot, or Really Really Big.