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All the ideas for 'Function and Concept', 'De ente praedicamentali' and 'Significance of the Kripkean Nec A Posteriori'

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21 ideas

1. Philosophy / C. History of Philosophy / 5. Modern Philosophy / c. Modern philosophy mid-period
Analytic philosophy loved the necessary a priori analytic, linguistic modality, and rigour [Soames]
     Full Idea: The golden age of analytic philosophy (mid 20th c) was when necessary, a priori and analytic were one, all possibility was linguistic possibility, and the linguistic turn gave philosophy a respectable subject matter (language), and precision and rigour.
     From: Scott Soames (Significance of the Kripkean Nec A Posteriori [2006], p.166)
     A reaction: Gently sarcastic, because Soames is part of the team who have put a bomb under this view, and quite right too. Personally I think the biggest enemy in all of this lot is not 'language' but 'rigour'. A will-o-the-wisp philosophers dream of.
1. Philosophy / F. Analytic Philosophy / 5. Linguistic Analysis
If philosophy is analysis of meaning, available to all competent speakers, what's left for philosophers? [Soames]
     Full Idea: If all of philosophy is the analysis of meaning, and meaning is fundamentally transparent to competent speakers, there is little room for philosophically significant explanations and theories, since they will be necessary or a priori, or both.
     From: Scott Soames (Significance of the Kripkean Nec A Posteriori [2006], p.186)
     A reaction: He cites the later Wittgenstein as having fallen into this trap. I suppose any area of life can have its specialists, but I take Shakespeare to be a greater master of English than any philosopher I have ever read.
4. Formal Logic / A. Syllogistic Logic / 2. Syllogistic Logic
Frege thought traditional categories had psychological and linguistic impurities [Frege, by Rumfitt]
     Full Idea: Frege rejected the traditional categories as importing psychological and linguistic impurities into logic.
     From: report of Gottlob Frege (Function and Concept [1891]) by Ian Rumfitt - The Boundary Stones of Thought 1.2
     A reaction: Resisting such impurities is the main motivation for making logic entirely symbolic, but it doesn't follow that the traditional categories have to be dropped.
5. Theory of Logic / E. Structures of Logic / 5. Functions in Logic
First-level functions have objects as arguments; second-level functions take functions as arguments [Frege]
     Full Idea: Just as functions are fundamentally different from objects, so also functions whose arguments are and must be functions are fundamentally different from functions whose arguments are objects. The latter are first-level, the former second-level, functions.
     From: Gottlob Frege (Function and Concept [1891], p.38)
     A reaction: In 1884 he called it 'second-order'. This is the standard distinction between first- and second-order logic. The first quantifies over objects, the second over intensional entities such as properties and propositions.
5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic
Relations are functions with two arguments [Frege]
     Full Idea: Functions of one argument are concepts; functions of two arguments are relations.
     From: Gottlob Frege (Function and Concept [1891], p.39)
     A reaction: Nowadays we would say 'two or more'. Another interesting move in the aim of analytic philosophy to reduce the puzzling features of the world to mathematical logic. There is, of course, rather more to some relations than being two-argument functions.
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
Arithmetic is a development of logic, so arithmetical symbolism must expand into logical symbolism [Frege]
     Full Idea: I am of the opinion that arithmetic is a further development of logic, which leads to the requirement that the symbolic language of arithmetic must be expanded into a logical symbolism.
     From: Gottlob Frege (Function and Concept [1891], p.30)
     A reaction: This may the the one key idea at the heart of modern analytic philosophy (even though logicism may be a total mistake!). Logic and arithmetical foundations become the master of ontology, instead of the servant. The jury is out on the whole enterprise.
7. Existence / A. Nature of Existence / 6. Criterion for Existence
Frege takes the existence of horses to be part of their concept [Frege, by Sommers]
     Full Idea: Frege regarded the existence of horses as a property of the concept 'horse'.
     From: report of Gottlob Frege (Function and Concept [1891]) by Fred Sommers - Intellectual Autobiography 'Realism'
8. Modes of Existence / B. Properties / 10. Properties as Predicates
Frege allows either too few properties (as extensions) or too many (as predicates) [Mellor/Oliver on Frege]
     Full Idea: Frege's theory of properties (which he calls 'concepts') yields too few properties, by identifying coextensive properties, and also too many, by letting every predicate express a property.
     From: comment on Gottlob Frege (Function and Concept [1891]) by DH Mellor / A Oliver - Introduction to 'Properties' §2
     A reaction: Seems right; one extension may have two properties (have heart/kidneys), two predicates might express the same property. 'Cutting nature at the joints' covers properties as well as objects.
9. Objects / A. Existence of Objects / 3. Objects in Thought
The concept 'object' is too simple for analysis; unlike a function, it is an expression with no empty place [Frege]
     Full Idea: I regard a regular definition of 'object' as impossible, since it is too simple to admit of logical analysis. Briefly: an object is anything that is not a function, so that an expression for it does not contain any empty place.
     From: Gottlob Frege (Function and Concept [1891], p.32)
     A reaction: Here is the core of the programme for deriving our ontology from our logic and language, followed through by Russell and Quine. Once we extend objects beyond the physical, it becomes incredibly hard to individuate them.
9. Objects / D. Essence of Objects / 7. Essence and Necessity / a. Essence as necessary properties
Kripkean essential properties and relations are necessary, in all genuinely possible worlds [Soames]
     Full Idea: By (Kripkean) 'essential' properties and relations I mean simply properties and relations that hold necessarily of objects (in all genuinely possible world-states in which the objects exist).
     From: Scott Soames (Significance of the Kripkean Nec A Posteriori [2006], p.168 n5)
     A reaction: This is the standard modern view of essences which I find so unsatisfactory. Kit Fine has helped to take us back to the proper Aristotelian view, where 'necessary' and 'essential' actually have different meanings. Note the inclusion of relations.
9. Objects / E. Objects over Time / 6. Successive Things
In order to speak about time and successive entities, the 'present' must be enlarged [Wycliff]
     Full Idea: It is clear from the way in which one must speak about time and other successive entities that talk about 'the present' must be enlarged. Otherwise it would have to be denied that any successive entity could exist, which is impossible.
     From: John Wycliff (De ente praedicamentali [1375], 20 p.189), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 18.3
     A reaction: This is a lovely idea, even if it is not quite clear what it means. The mind seems to stretch out the now anyway (as the 'specious present'), so why not embrace that in language and conscious thought?
To be successive a thing needs parts, which must therefore be lodged outside that instant [Wycliff]
     Full Idea: If something is successive, it is successive with respect to its individual parts, which cannot exist at the same instant. Therefore it follows that many of its parts are lodged outside that instant.
     From: John Wycliff (De ente praedicamentali [1375], 20 p.189), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 18.3
     A reaction: An obvious would be to say that there are therefore no successive entities, but Wycliff is appealing to our universal acceptance of them, and offering a transcendental argument. Nice move.
10. Modality / C. Sources of Modality / 3. Necessity by Convention
A key achievement of Kripke is showing that important modalities are not linguistic in source [Soames]
     Full Idea: None of Kripke's many achievements is more important than his breaking the spell of the linguistic as the source of philosophically important modalities.
     From: Scott Soames (Significance of the Kripkean Nec A Posteriori [2006], p.186)
     A reaction: Put like that, Kripke may have had the single most important thought of modern times. I take good philosophy to be exactly the same as good scientific theorising, in that it all arises out of the nature of reality (and I include logic in that).
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / a. Nature of possible worlds
Kripkean possible worlds are abstract maximal states in which the real world could have been [Soames]
     Full Idea: For the Kripkean possible states of the world are not alternate concrete universes, but abstract objects. Metaphysically possible world-states are maximally complete ways the real concrete universe could have been.
     From: Scott Soames (Significance of the Kripkean Nec A Posteriori [2006], p.167)
     A reaction: This is probably clearer about the Kripkean view than Kripke ever is, but then that is part of Soames's mission. It sounds like the right way to conceive possible worlds. At least there is some commitment there, rather than instrumentalism about them.
18. Thought / D. Concepts / 3. Ontology of Concepts / c. Fregean concepts
Concepts are the ontological counterparts of predicative expressions [Frege, by George/Velleman]
     Full Idea: Concepts, for Frege, are the ontological counterparts of predicative expressions.
     From: report of Gottlob Frege (Function and Concept [1891]) by A.George / D.J.Velleman - Philosophies of Mathematics Ch.2
     A reaction: That sounds awfully like what many philosophers call 'universals'. Frege, as a platonist (at least about numbers), I would take to be in sympathy with that. At least we can say that concepts seem to be properties.
An assertion about the concept 'horse' must indirectly speak of an object [Frege, by Hale]
     Full Idea: Frege had a notorious difficulty over the concept 'horse', when he suggests that if we wish to assert something about a concept, we are obliged to proceed indirectly by speaking of an object that represents it.
     From: report of Gottlob Frege (Function and Concept [1891], Ch.2.II) by Bob Hale - Abstract Objects
     A reaction: This sounds like the thin end of a wedge. The great champion of objects is forced to accept them here as a façon de parler, when elsewhere they have ontological status.
A concept is a function whose value is always a truth-value [Frege]
     Full Idea: A concept in logic is closely connected with what we call a function. Indeed, we may say at once: a concept is a function whose value is always a truth-value. ..I give the name 'function' to what is meant by the 'unsaturated' part.
     From: Gottlob Frege (Function and Concept [1891], p.30)
     A reaction: So a function becomes a concept when the variable takes a value. Problems arise when the value is vague, or the truth-value is indeterminable.
18. Thought / D. Concepts / 4. Structure of Concepts / a. Conceptual structure
Unlike objects, concepts are inherently incomplete [Frege, by George/Velleman]
     Full Idea: For Frege, concepts differ from objects in being inherently incomplete in nature.
     From: report of Gottlob Frege (Function and Concept [1891]) by A.George / D.J.Velleman - Philosophies of Mathematics Ch.2
     A reaction: This is because they are 'unsaturated', needing a quantified variable to complete the sentence. This could be a pointer towards Quine's view of properties, as simply an intrinsic feature of predication about objects, with no separate identity.
19. Language / B. Reference / 5. Speaker's Reference
I may regard a thought about Phosphorus as true, and the same thought about Hesperus as false [Frege]
     Full Idea: From sameness of meaning there does not follow sameness of thought expressed. A fact about the Morning Star may express something different from a fact about the Evening Star, as someone may regard one as true and the other false.
     From: Gottlob Frege (Function and Concept [1891], p.14)
     A reaction: This all gets clearer if we distinguish internalist and externalist theories of content. Why take sides on this? Why not just ask 'what is in the speaker's head?', 'what does the sentence mean in the community?', and 'what is the corresponding situation?'
19. Language / C. Assigning Meanings / 10. Two-Dimensional Semantics
Two-dimensionalism reinstates descriptivism, and reconnects necessity and apriority to analyticity [Soames]
     Full Idea: Two-dimensionalism is a fundamentally anti-Kripkean attempt to reinstate descriptivism about names and natural kind terms, to reconnect necessity and apriority to analyticity, and return philosophy to analytic paradigms of its golden age.
     From: Scott Soames (Significance of the Kripkean Nec A Posteriori [2006], p.183)
     A reaction: I presume this is right, and it is so frustrating that you need Soames to spell it out, when Chalmers is much more low-key. Philosophers hate telling you what their real game is. Why is that?
28. God / B. Proving God / 2. Proofs of Reason / b. Ontological Proof critique
The Ontological Argument fallaciously treats existence as a first-level concept [Frege]
     Full Idea: The ontological proof of God's existence suffers from the fallacy of treating existence as a first-level concept.
     From: Gottlob Frege (Function and Concept [1891], p.38 n)
     A reaction: [See Idea 8490 for first- and second-order functions] This is usually summarised as the idea that existence is a quantifier rather than a predicate.