Combining Texts

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

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4 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets

9879	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.

14. Science / D. Explanation / 2. Types of Explanation / g. Causal explanations

8406	Not all explanations are causal, but if a thing can be explained at all, it can be explained causally [Sanford]
	Full Idea: Although not all explanations are causal, anything which can be explained in any way can be explained causally.
	From: David H. Sanford (Causation [1995], p.79)
	A reaction: A nice bold claim with which I am in sympathy, but he would have a struggle proving it. Does this imply that causal explanations are basic, or in some way superior? Note that functional explanations would thus have underlying causal explanations.

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').

26. Natural Theory / C. Causation / 8. Particular Causation / c. Conditions of causation

8407	A totality of conditions necessary for an occurrence is usually held to be jointly sufficient for it [Sanford]
	Full Idea: A totality of conditions necessary for an occurrence is jointly sufficient for it. This is a widely held but controversial view, and it is not a logical truth.
	From: David H. Sanford (Causation [1995], p.82)
	A reaction: This wouldn't work for an impossible occurrence. What are the necessary conditions to produce a large planet made of uranium? One of them would have to be a naturally impossible necessity.