Combining Texts

All the ideas for 'Cognition of Value in Aristotle's Ethics', 'The Sign of Four' and 'On Euclidean Geometry'

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3 ideas

5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
The truth of an axiom must be independently recognisable [Frege]
     Full Idea: It is part of the concept of an axiom that it can be recognised as true independently of other truths.
     From: Gottlob Frege (On Euclidean Geometry [1900], 183/168), quoted by Tyler Burge - Frege on Knowing the Foundations 4
     A reaction: Frege thinks the axioms of arithmetic all reside in logic.
14. Science / C. Induction / 1. Induction
If you eliminate the impossible, the truth will remain, even if it is weird [Conan Doyle]
     Full Idea: When you have eliminated the impossible, whatever remains, however improbable, must be the truth.
     From: Arthur Conan Doyle (The Sign of Four [1890], Ch. 6)
     A reaction: A beautiful statement, by Sherlock Holmes, of Eliminative Induction. It is obviously not true, of course. Many options may still face you after you have eliminated what is actually impossible.
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / h. Expressivism
Evaluations are not disguised emotions; instead, emotion is a type of evaluation [Achtenberg]
     Full Idea: The emotivist gets things backwards: evaluations are not disguised emotions; instead, emotions are types of evaluation.
     From: Deborah Achtenberg (Cognition of Value in Aristotle's Ethics [2002], 6.1)
     A reaction: A nice comment, though a bit optimistic. It is certainly a valuable corrective to emotivist to pin down the cognitive and evaluative aspects of emotion, rather than regarding them as 'raw' feelings.