>>11972939Technically, following Wittgenstein all mathematical statements are tautologies and are therefore meaningless (if we are going by the tractatus). This has to do with problems involving the Russell's law of identity.
The problem with this is that tautologys can also be rendered in the form of contradictions in Russell's work because the law of identity is built upon the principle of identity which can take the form of the principle of assertion which again can take the form of the principle of reductio ad absurdum. Thus, tautologies in the principia can be rendered as contradictions.