121 books
—
5 voters
“
Gödel (and indeed the whole mathematical community) failed to realise that all valid mathematical axioms must be tautological, i.e. must be shown to have a common root, of which they are equivalent
expressions. Any mathematical axioms that are not tautologous automatically fall foul of Cartesian substance dualism, i.e. they imply different ontologies and epistemologies – different and incompatible
versions of mathematics – hence cannot be complete and consistent with regard to each other. In oth
...more
”
― Gödel Versus Wittgenstein
― Gödel Versus Wittgenstein
“
At least Tsar Alexander III understood that the game now being played was for the highest stakes. When Giers asked him, '...what would we gain by helping the french destroy Germany?' he replied: 'what we would gain would be that Germany, as such, would disappear. It would break up into a number of small, weak states, the way it used to be'.
...more
”
―
―
