Godel Quotes
Quotes tagged as "godel"
Showing 1-4 of 4
“Gödel, the great mathematical logician, was the champion of rational religion. In many ways, we seek to establish a Leibniz-Gödel hyperrationalist alternative to science. We want to refute the idea that science is just one monolith of materialism and empiricism. You can be a much better scientist by choosing a much better, more rational science, namely that of idealism and rationalism.”
― God Is Mathematics: The Proofs of the Eternal Existence of Mathematics
― God Is Mathematics: The Proofs of the Eternal Existence of Mathematics
“Gödel’s scheme has nothing to do with mathematics in and of itself. It concerns false approaches (i.e. non-ontological approaches) to the definition of what math is. The incompleteness theorems proved that such approaches are doomed to failure. Gödel didn’t prove a single thing about what math is. What he proved is what’s it’s not. He proved that it definitely isn’t manmade.”
― 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'.”
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“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 other words, Gödel simply came up with an ingenious way of showing that existence must be predicated on monism, and not on dualism or pluralism.”
― Gödel Versus Wittgenstein
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 other words, Gödel simply came up with an ingenious way of showing that existence must be predicated on monism, and not on dualism or pluralism.”
― Gödel Versus Wittgenstein
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