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All the ideas for 'Function and Concept', 'works' and 'Philosophical Fragments'

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30 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / a. Philosophy as worldly
Ideals and metaphysics are practical, not imaginative or speculative [Green,TH, by Muirhead]
     Full Idea: To T.H. Green an ideal was no creation of an idle imagination, metaphysics no mere play of the speculative reason. Ideals were the most solid, and metaphysics the most practical thing about a man.
     From: report of T.H. Green (works [1875]) by John H. Muirhead - The Service of the State I
     A reaction: This is despite the fact that Green was an idealist in the Hegelian tradition. I like this. I see it not just as ideals having practical guiding influence, but also that ideals themselves arising out of experience.
3. Truth / D. Coherence Truth / 1. Coherence Truth
Truth is a relation to a whole of organised knowledge in the collection of rational minds [Green,TH, by Muirhead]
     Full Idea: When we speak of anything as true or false, we do so on the ground of its relation to a whole of organised knowledge existing actually in no human mind, but prefigured in every mind which is possessed of reason.
     From: report of T.H. Green (works [1875]) by John H. Muirhead - The Service of the State I n1
     A reaction: This seems to be the super-idealist view of the coherence account of truth. I have no idea what 'prefigured' means here.
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 / 5. Reason for Existence
I assume existence, rather than reasoning towards it [Kierkegaard]
     Full Idea: I always reason from existence, not towards existence.
     From: Søren Kierkegaard (Philosophical Fragments [1844], p.40)
     A reaction: Kierkegaard's important premise to help show that theistic proofs for God's existence don't actually prove existence, but develop the content of a conception. [SY]
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.
10. Modality / A. Necessity / 2. Nature of Necessity
Nothing necessary can come into existence, since it already 'is' [Kierkegaard]
     Full Idea: Can the necessary come into existence? That is a change, and everything that comes into existence demonstrates that it is not necessary. The necessary already 'is'.
     From: Søren Kierkegaard (Philosophical Fragments [1844], p.74)
     A reaction: [SY]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / d. Absolute idealism
All knowledge rests on a fundamental unity between the knower and what is known [Green,TH, by Muirhead]
     Full Idea: All knowledge is seen on ultimate analysis to rest upon the idea of a fundamental unity between subject and object, between the knower and that which there is to be known.
     From: report of T.H. Green (works [1875]) by John H. Muirhead - The Service of the State III
     A reaction: I don't really understand this thought, but I think it embodies the essence of Hegelian idealism. If I know a tree in the wood, any 'unity' between us strikes as merely imaginary. If the tree isn't separate, what does 'knowing' it mean?
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / a. Coherence as justification
The ultimate test for truth is the systematic interdependence in nature [Green,TH, by Muirhead]
     Full Idea: Systematic interdependence in the world of nature is the ultimate test of truth.
     From: report of T.H. Green (works [1875]) by John H. Muirhead - The Service of the State II
     A reaction: Green (or Muirhead) drifts between coherence as the nature of truth and coherence as the nature of justification. He it is the 'test' for truth, which was Russell's view.
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?'
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
What is distinctive of human life is the desire for self-improvement [Green,TH, by Muirhead]
     Full Idea: All that is distinctively human in the life of man springs not from the desire to possess this or that object, and so far to realise a better, but to be something more and better than he is.
     From: report of T.H. Green (works [1875]) by John H. Muirhead - The Service of the State II
     A reaction: An example of Victorian optimism, I think. I'm guessing that people who are not motivated by this impulse are not behaving in a way that is 'distinctively human'. That said, this is an interesting aspect of human nature.
23. Ethics / A. Egoism / 2. Hedonism
Hedonism offers no satisfaction, because what we desire is self-betterment [Green,TH, by Muirhead]
     Full Idea: Hedonism failed because it offered as an end of human aspiration an object in which the human spirit, pledged by its own nature to self-betterment, …could never find satisfaction.
     From: report of T.H. Green (works [1875]) by John H. Muirhead - The Service of the State II
     A reaction: It is always both sad and amusing to see that 150 years ago someone wrote of a doctrine that is still with us that it has 'failed'. Nowadays they try to say the same of physicalism. His objection rests on optimism about humanity.
24. Political Theory / B. Nature of a State / 2. State Legitimacy / d. General will
Politics is compromises, which seem supported by a social contract, but express the will of no one [Green,TH]
     Full Idea: Where laws and institutions are apparently the work of deliberate volition, they are in reality the result of a compromise, which while by a kind of social contract it has the acquiescence of all, expresses the will of none.
     From: T.H. Green (works [1875]), quoted by John H. Muirhead - The Service of the State III
     A reaction: Politicians who claim to be enacting the 'will of the people' (e.g. when they won a referendum 52-48) are simply lying. Committees usually end up enacting one person's will, but often without realising what has happened.
24. Political Theory / B. Nature of a State / 4. Citizenship
The ideal is a society in which all citizens are ladies and gentlemen [Green,TH]
     Full Idea: With all seriousness and reverence we may hope and pray for a condition of English society in which all honest citizens will recognise themselves and be recognised by each other as gentlemen.
     From: T.H. Green (works [1875]), quoted by John H. Muirhead - The Service of the State IV
     A reaction: Call me old fashioned but, as long as we expand this to include ladies, I like this thought. Chaucer's knight (in his Prologue) should be our national role model. The true gentleman is an Aristotelian ideal.
Enfranchisement is an end in itself; it makes a person moral, and gives a basis for respect [Green,TH]
     Full Idea: Enfranchisement of the people is an end in itself. …Only citizenship makes the moral man; only citizenship gives that respect which is the true basis of the respect for others.
     From: T.H. Green (works [1875], iii:436), quoted by John H. Muirhead - The Service of the State IV
     A reaction: Should people respect their betters? If so, that is a sort of deferential respect which is different from the mutual respect between equals. That said, I wholly approve of this idea.
24. Political Theory / D. Ideologies / 6. Liberalism / a. Liberalism basics
The good is identified by the capacities of its participants [Green,TH, by Muirhead]
     Full Idea: The modern idea of the good has developed in respect of the range of persons who have the capacity and therefore the right to participate in this good.
     From: report of T.H. Green (works [1875]) by John H. Muirhead - The Service of the State II
     A reaction: Green is a notable Victorian liberal, starting from an idealist metaphysics. This is an intriguing view of liberal values. The concept of the good should be what suits persons with full capacity. Having the capacity bestows the right of access to it. Hm.
24. Political Theory / D. Ideologies / 6. Liberalism / b. Liberal individualism
A true state is only unified and stabilised by acknowledging individuality [Green,TH, by Muirhead]
     Full Idea: In so far as society commits itself to the principle of individuality of its citizens does it realise the unity and stability that constitute it a true 'State'.
     From: report of T.H. Green (works [1875]) by John H. Muirhead - The Service of the State II
     A reaction: This asserts the liberal vision of a state, rather than asserting a fact. A state consistently mostly of slaves still seems to be a state, and may achieve a lot.
24. Political Theory / D. Ideologies / 7. Communitarianism / a. Communitarianism
People only develop their personality through co-operation with the social whole [Green,TH, by Muirhead]
     Full Idea: In so far as the individual commits himself to the principle of co-operation in a social whole does he realise his end as individual personality.
     From: report of T.H. Green (works [1875]) by John H. Muirhead - The Service of the State II
     A reaction: This makes for a very communitarian type of liberalism. The question is whether we create insitutions which suck our free citizens into a communal way of life, or whether that is a matter of their own initiative.
26. Natural Theory / A. Speculations on Nature / 2. Natural Purpose / a. Final purpose
If something develops, its true nature is embodied in its end [Green,TH]
     Full Idea: To anyone who understands a process of development, the result being developed is the reality; and it is its ability to become this that the subject undergoing development has its true nature.
     From: T.H. Green (works [1875], iii: 224), quoted by John H. Muirhead - The Service of the State II
     A reaction: Although this contains the dubious Hegelian idea that development tends towards some 'end', presented as fixed and final, it still seems important that anything accepted as a 'development' is the expression of some natural potential.
28. God / A. Divine Nature / 1. God
God is the ideal end of the mature mind's final development [Green,TH]
     Full Idea: God is a subject which is eternally all that the self-conscious subject as developed in time has the possibility of becoming.
     From: T.H. Green (works [1875]), quoted by John H. Muirhead - The Service of the State I
     A reaction: [Ethics p.197] Reminiscent of Peirce's account of truth, as the ideal end of enquiry. If God is a human ideal, we either limit God, or exaggerate our powers of idealisation.
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.
28. God / C. Attitudes to God / 4. God Reflects Humanity
God is the realisation of the possibilities of each man's self [Green,TH]
     Full Idea: God is identical with the self of every man in the sense of being the realisation of its determinate possibilities.…In being conscious of himself man is conscious of God and thus knows that God is, but only in so far as he knows what he himself really is.
     From: T.H. Green (works [1875], iii:226-7), quoted by John H. Muirhead - The Service of the State II
     A reaction: Does this, by the transitivity of identity, imply the identity of all individual men? Do we all contain identical possibilities, which converge on a unified concept of God? I always take the monotheistic God to far exceed mere human possibilities.