Maths built on impredicative definitions - maths is false

[ladyjane]

take impredicative definitions a lot of maths is built on them -but philosophers say they are invalid and some mathematicians too but most mathematician will not outlaw them as by doing so a lot of maths becomes useless

Poincare outlawed impredicative definitions But the problem of outlawing impredicative definitions was that a lot of useful mathematics would have to be abandoned “ruling out impredicative definitions would eliminate the contradiction from mathematics, but the cost was too great " (B, Bunch, op.cit p.134)

[Wonderer]

people tend to fear or hate that which they do not understand