Combining Texts

Ideas for 'On the Question of Absolute Undecidability', 'Academica' and 'Human Freedom and the Self'

unexpand these ideas     |    start again     |     choose another area for these texts

display all the ideas for this combination of texts

---

2 ideas

5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle

2669	Dialectic assumes that all statements are either true or false, but self-referential paradoxes are a big problem [Cicero]
	Full Idea: It is a fundamental principle of dialectic that every statement is either true or false. So is this a true proposition or a false one: "If you say that you are lying and say it truly, you lie"?
	From: M. Tullius Cicero (Academica [c.45 BCE], II.xxix.95)

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)