Combining Texts

All the ideas for 'Mahaprajnaparamitashastra', 'On the Reduction of Necessity to Essence' and 'De arcanus motus'

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5 ideas

5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives

16974	The nature of each logical concept is given by a collection of inference rules [Correia]
	Full Idea: The view presented here presupposes that each logical concept is associated with some fixed and well defined collection of rules of inference which characterize its basic logical nature.
	From: Fabrice Correia (On the Reduction of Necessity to Essence [2012], 4)
	A reaction: [He gives Fine's 'Senses of Essences' 57-8 as a source] He seems to have in mind natural deduction, where the rules are for the introduction and elimination of the concepts.

8. Modes of Existence / C. Powers and Dispositions / 1. Powers

12733	Because of the definitions of cause, effect and power, cause and effect have the same power [Leibniz]
	Full Idea: The primary mechanical axiom is that the whole cause and the entire effect have the same power [potentia]. ..This depends on the definition of cause, effect and power.
	From: Gottfried Leibniz (De arcanus motus [1676], 203), quoted by Daniel Garber - Leibniz:Body,Substance,Monad 6
	A reaction: This is a useful reminder that if one is going to build a metaphysics on powers (which I intend to do), then the conservation laws in physics are highly relevant.

10. Modality / A. Necessity / 2. Nature of Necessity

12734	Every necessary proposition is demonstrable to someone who understands [Leibniz]
	Full Idea: Every necessary proposition is demonstrable, at least by someone who understands it.
	From: Gottfried Leibniz (De arcanus motus [1676], 203), quoted by Daniel Garber - Leibniz:Body,Substance,Monad 6
	A reaction: This kind of optimism leads to the crisis of the Hilbert Programme in the 1930s. Gödel seems to have conclusively proved that Leibniz was wrong. What would Leibniz have made of Gödel?

10. Modality / A. Necessity / 6. Logical Necessity

16973	Explain logical necessity by logical consequence, or the other way around? [Correia]
	Full Idea: One view is that logical consequence is to be understood in terms of logical necessity (some proposition holds necessarily, if some group of other propositions holds). Alternatively, logical necessity is a logical consequence of the empty set.
	From: Fabrice Correia (On the Reduction of Necessity to Essence [2012], 3)
	A reaction: I think my Finean preference is for all necessities to have a 'necessitator', so logical necessity results from logic in some way, perhaps from logical consequence, or from the essences of the connectives and operators.

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').