Combining Texts

All the ideas for 'Mahaprajnaparamitashastra', 'works' and 'New Foundations for Mathematical Logic'

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 / a. Axioms for sets
NF has no models, but just blocks the comprehension axiom, to avoid contradictions [Quine, by Dummett]
     Full Idea: Quine's New Foundations system of set theory, devised with no model in mind, but on the basis of a hunch that a purely formal restriction on the comprehension axiom would block all contradictions.
     From: report of Willard Quine (New Foundations for Mathematical Logic [1937]) by Michael Dummett - Frege philosophy of mathematics Ch.18
     A reaction: The point is that Quine (who had an ontological preference for 'desert landscapes') attempted to do without an ontological commitment to objects (and their subsequent models), with a purely formal system. Quine's NF is not now highly regarded.
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna]
     Full Idea: The six perfections are of giving, morality, patience, vigour, meditation, and wisdom.
     From: Nagarjuna (Mahaprajnaparamitashastra [c.120], 88)
     A reaction: What is 'morality', if giving is not part of it? I like patience and vigour being two of the virtues, which immediately implies an Aristotelian mean (which is always what is 'appropriate').
23. Ethics / F. Existentialism / 6. Authentic Self
Sartre gradually realised that freedom is curtailed by the weight of situation [Sartre, by Daigle]
     Full Idea: Sartre evolved from a notion of absolute freedom to one that truly takes into account the weight of situation.
     From: report of Jean-Paul Sartre (works [1950]) by Christine Daigle - Jean-Paul Sartre 2.3
     A reaction: This change seems to have come much later, in the 1960s. The main influence seems to have been Marxism, which claims that consciousness is created by society, rather than by free individuals.