Single Idea 8680

[catalogued under 2. Reason / D. Definition / 10. Stipulative Definition]

Full Idea

In classical logic definitions are thought of as revealing our attempts to refer to objects, ...but for intuitionist or constructivist logics, if our definitions do not uniquely characterize an object, we are not entitled to discuss the object.

Gist of Idea

Classical definitions attempt to refer, but intuitionist/constructivist definitions actually create objects


Michèle Friend (Introducing the Philosophy of Mathematics [2007], 2.4)

Book Reference

Friend,Michèle: 'Introducing the Philosophy of Mathematics' [Acumen 2007], p.36

A Reaction

In defining a chess piece we are obviously creating. In defining a 'tree' we are trying to respond to fact, but the borderlines are vague. Philosophical life would be easier if we were allowed a mixture of creation and fact - so let's have that.