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All the ideas for 'Function and Concept', 'Laches' and 'Being You'

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22 ideas

1. Philosophy / A. Wisdom / 3. Wisdom Deflated
Don't assume that wisdom is the automatic consequence of old age [Plato]
     Full Idea: Don't assume that wisdom is the automatic consequence of old age.
     From: Plato (Laches [c.381 BCE], 188b)
     A reaction: I have taught teenagers who seemed to me wiser than nearly all the adults I have ever met.
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.
15. Nature of Minds / A. Nature of Mind / 8. Brain
Single neurons can carry out complex functions [Seth]
     Full Idea: It is increasingly apparent that even single neurons are capable of carrying out highly complex functions all by themselves.
     From: Anil Seth (Being You [2021], I.1 n)
     A reaction: Bang goes the simple connectionist account of consciousness.
The cerbellum has a huge number of neurons, but little involvement in consciousness [Seth]
     Full Idea: The cerebellum [at the back] has about four times as many neurons as the rest of the brain put together, but seems barely involved in consciousness.
     From: Anil Seth (Being You [2021], I.2)
     A reaction: I wonder if it also has four times as many connections?
15. Nature of Minds / B. Features of Minds / 1. Consciousness / e. Cause of consciousness
Maybe a system is conscious if the whole generates more information than its parts [Seth]
     Full Idea: The main claim of Tononi's 'integrated information theory' is that a system is conscious to the extent that its whole generates more information than its parts.
     From: Anil Seth (Being You [2021], I.3)
     A reaction: Seth seems to present this as an 'interesting' proposal. I find it unlikely that consciousness could be explain in terms of information, or that a machine constructed on this principle would thus become conscious. (Databases pass this test).
16. Persons / C. Self-Awareness / 2. Knowing the Self
The self is embodied, perspectival, volitional, narrative and social [Seth, by PG]
     Full Idea: The elements of a self are 1) embodied - related directly to the body, 2) perspectival - having a viewpoint, 3) volitional - being an agent, 4) narrative - aware of past and future, and 5) social - as others perceive me.
     From: report of Anil Seth (Being You [2021], III.8) by PG - Db (ideas)
     A reaction: [summarised] Seth says there are distinctive emotions associated with each of these aspects of the self. This list is very helpful, as a discouragement for anyone who wants to pick one of these as the sole true nature of the self.
18. Thought / B. Mechanics of Thought / 6. Artificial Thought / a. Artificial Intelligence
Modern AI is mostly machine-based pattern recognition [Seth]
     Full Idea: Much of today's AI is best described as sophisticated machine-based pattern recognition.
     From: Anil Seth (Being You [2021], IV.13)
     A reaction: Personally I wouldn't want to underestimate the extent to which human intelligence is also pattern recognition (across time as well as in space).
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?'
20. Action / B. Preliminaries of Action / 2. Willed Action / a. Will to Act
Volition is felt as doing what you want, with possible alternatives, and a source from within [Seth]
     Full Idea: The experience of volition is defined by 1) the feeling that I am doing what I want to do, 2) that I could have done otherwise, and 3) that voluntary actions seem to come from within.
     From: Anil Seth (Being You [2021], III.11)
     A reaction: Note that these can all be cited without reference to their feeling 'free'.
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / d. Biological ethics
Human exceptionalism plagues biology, and most other human thinking [Seth]
     Full Idea: Human exceptionalism has repeatedly plagued biology, and has darkened the history of human thought everywhere.
     From: Anil Seth (Being You [2021], I.2)
     A reaction: I increasingly agree with this, as much in philosophy as in biology. We really need to get used to our place in evolution.
23. Ethics / C. Virtue Theory / 3. Virtues / d. Courage
Being unafraid (perhaps through ignorance) and being brave are two different things [Plato]
     Full Idea: To be unafraid (like a small child who doesn't understand the danger) and to be brave are two quite different things.
     From: Plato (Laches [c.381 BCE], 197b)
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.