Ideas from 'On the Reduction of Necessity to Essence' by Fabrice Correia [2012], by Theme Structure

[found in 'Philosophy and Phenomenological Research' (ed/tr -) [- ,]].

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5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
The nature of each logical concept is given by a collection of inference rules
                        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.
10. Modality / A. Necessity / 6. Logical Necessity
Explain logical necessity by logical consequence, or the other way around?
                        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.