Combining Texts

All the ideas for 'reports', 'Deriving Kripkean Claims with Abstract Objects' and 'Commentary on 'Physics''

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4 ideas

7. Existence / A. Nature of Existence / 3. Being / e. Being and nothing
Prime matter is halfway between non-existence and existence [Averroes]
     Full Idea: Prime matter falls halfway, as it were, between complete non-existence and actual existence.
     From: Averroes (Ibn Rushd) (Commentary on 'Physics' [1190], I.70), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 03.1
9. Objects / A. Existence of Objects / 2. Abstract Objects / a. Nature of abstracta
Abstract objects are actually constituted by the properties by which we conceive them [Zalta]
     Full Idea: Where for ordinary objects one can discover the properties they exemplify, abstract objects are actually constituted or determined by the properties by which we conceive them. I use the technical term 'x encodes F' for this idea.
     From: Edward N. Zalta (Deriving Kripkean Claims with Abstract Objects [2006], 2 n2)
     A reaction: One might say that whereas concrete objects can be dubbed (in the Kripke manner), abstract objects can only be referred to by descriptions. See 10557 for more technicalities about Zalta's idea.
10. Modality / A. Necessity / 8. Transcendental Necessity
Even the gods cannot strive against necessity [Pittacus, by Diog. Laertius]
     Full Idea: Even the gods cannot strive against necessity.
     From: report of Pittacus (reports [c.610 BCE]) by Diogenes Laertius - Lives of Eminent Philosophers 01.5.4
18. Thought / E. Abstraction / 2. Abstracta by Selection
Abstract objects are captured by second-order modal logic, plus 'encoding' formulas [Zalta]
     Full Idea: My object theory is formulated in a 'syntactically second-order' modal predicate calculus modified only so as to admit a second kind of atomic formula ('xF'), which asserts that object x 'encodes' property F.
     From: Edward N. Zalta (Deriving Kripkean Claims with Abstract Objects [2006], p.2)
     A reaction: This is summarising Zalta's 1983 theory of abstract objects. See Idea 10558 for Zalta's idea in plain English.