Combining Texts

All the ideas for 'Introduction to Russell's Theory of Types', 'works' and 'Lectures on Jurisprudence'

unexpand these ideas     |    start again     |     specify just one area for these texts


3 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility
The Axiom of Reducibility is self-effacing: if true, it isn't needed [Quine]
     Full Idea: The Axiom of Reducibility is self-effacing: if it is true, the ramification it is meant to cope with was pointless to begin with.
     From: Willard Quine (Introduction to Russell's Theory of Types [1967], p.152), quoted by Penelope Maddy - Naturalism in Mathematics I.1
     A reaction: Maddy says the rejection of Reducibility collapsed the ramified theory of types into the simple theory.
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
Unlike us, the early Greeks thought envy was a good thing, and hope a bad thing [Hesiod, by Nietzsche]
     Full Idea: Hesiod reckons envy among the effects of the good and benevolent Eris, and there was nothing offensive in according envy to the gods. ...Likewise the Greeks were different from us in their evaluation of hope: one felt it to be blind and malicious.
     From: report of Hesiod (works [c.700 BCE]) by Friedrich Nietzsche - Dawn (Daybreak) 038
     A reaction: Presumably this would be understandable envy, and unreasonable hope. Ridiculous envy can't possibly be good, and modest and sensible hope can't possibly be bad. I suspect he wants to exaggerate the relativism.
25. Social Practice / D. Justice / 2. The Law / d. Legal positivism
The existence of law is one thing, its merits and demerits another [Austin,J]
     Full Idea: The existence of law is one thing; its merit and demerit another. Whether it be or be not is one enquiry; whether it be or be not conformable to an assumed standard is a different enquiry.
     From: John Austin (Lectures on Jurisprudence [1858], p.214), quoted by Jens Zimmermann - Hermeneutics: a very short introduction 6 'Positivism'
     A reaction: It is impossible to contest this point, but the issue is whether there is nothing more to law than its written existence.