Combining Texts

All the ideas for 'Mahaprajnaparamitashastra', 'works' and 'Frege'

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4 ideas

4. Formal Logic / B. Propositional Logic PL / 1. Propositional Logic
7726 Aristotelian logic dealt with inferences about concepts, and there were also proposition inferences [Weiner]
     Full Idea: Till the nineteenth century, it was a common view that Aristotelian logic could evaluate inferences whose validity was based on relations between concepts, while propositional logic could evaluate inferences based on relations between propositions.
     From: Joan Weiner (Frege [1999], Ch.3)
     A reaction: Venn diagrams relate closely to Aristotelian syllogisms, as each concept is represented by a circle, and shows relations between sets. Arrows seem needed to represent how to go from one proposition to another. Is one static, the other dynamic?
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
9565 Zermelo made 'set' and 'member' undefined axioms [Zermelo, by Chihara]
     Full Idea: The terms 'set' and 'is a member of' are primitives of Zermelo's 1908 axiomatization of set theory. They are not given model-theoretic analyses or definitions.
     From: report of Ernst Zermelo (works [1920]) by Charles Chihara - A Structural Account of Mathematics 7.5
     A reaction: This looks like good practice if you want to work with sets, but not so hot if you are interested in metaphysics.
3339 For Zermelo's set theory the empty set is zero and the successor of each number is its unit set [Zermelo, by Blackburn]
     Full Idea: For Zermelo's set theory the empty set is zero and the successor of each number is its unit set.
     From: report of Ernst Zermelo (works [1920]) by Simon Blackburn - Oxford Dictionary of Philosophy p.280
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
7903 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').