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Single Idea 12734

[from 'De arcanus motus' by Gottfried Leibniz, in 10. Modality / A. Necessity / 2. Nature of Necessity ]

Full Idea

Every necessary proposition is demonstrable, at least by someone who understands it.

Gist of Idea

Every necessary proposition is demonstrable to someone who understands

Source

Gottfried Leibniz (De arcanus motus [1676], 203), quoted by Daniel Garber - Leibniz:Body,Substance,Monad 6

Book Reference

Garber,Daniel: 'Leibniz: Body, Substance, Monad' [OUP 2009], p.238


A Reaction

This kind of optimism leads to the crisis of the Hilbert Programme in the 1930s. Gödel seems to have conclusively proved that Leibniz was wrong. What would Leibniz have made of Gödel?