Combining Philosophers

Ideas for Hermarchus, E.M. Cioran and Peter Koellner

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2 ideas

5. Theory of Logic / K. Features of Logics / 1. Axiomatisation

19632	An axiom has no more authority than a frenzy [Cioran]
	Full Idea: This earth is a place where can confirm anything with an equal likelihood: here axioms and frenzies are interchangeable.
	From: E.M. Cioran (A Short History of Decay [1949], 3)
	A reaction: A perceptive and poetic expression of the modern anti-Euclidean and anti-Fregean view of axioms, as purely formal features of a model or system.

5. Theory of Logic / K. Features of Logics / 5. Incompleteness

17894	We have no argument to show a statement is absolutely undecidable [Koellner]
	Full Idea: There is at present no solid argument to the effect that a given statement is absolutely undecidable.
	From: Peter Koellner (On the Question of Absolute Undecidability [2006], 5.3)