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All the ideas for 'Function and Concept', 'Political Ideals' and 'The Sophist'

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42 ideas

1. Philosophy / D. Nature of Philosophy / 2. Invocation to Philosophy
We must fight fiercely for knowledge, understanding and intelligence [Plato]
     Full Idea: We need to use every argument we can to fight against anyone who does away with knowledge, understanding, and intelligence, but at the same time asserts anything at all about anything.
     From: Plato (The Sophist [c.359 BCE], 249c)
     A reaction: Thus showing that reason is only central if you want to put a high value on it?
1. Philosophy / F. Analytic Philosophy / 7. Limitations of Analysis
The desire to split everything into its parts is unpleasant and unphilosophical [Plato]
     Full Idea: To try to set apart everything from everything is not only especially jangling, but it is the mark of someone altogether unmusical and unphilosophic.
     From: Plato (The Sophist [c.359 BCE], 259e)
2. Reason / C. Styles of Reason / 1. Dialectic
Good analysis involves dividing things into appropriate forms without confusion [Plato]
     Full Idea: It takes expertise in dialectic to divide things by kinds and not to think that the same form is a different one or that a different form is the same.
     From: Plato (The Sophist [c.359 BCE], 253d)
Dialectic should only be taught to those who already philosophise well [Plato]
     Full Idea: The dialectical capacity - you won't give it to anyone else, I suspect, except to whoever philosophises purely and justly.
     From: Plato (The Sophist [c.359 BCE], 253e)
2. Reason / C. Styles of Reason / 2. Elenchus
In discussion a person's opinions are shown to be in conflict, leading to calm self-criticism [Plato]
     Full Idea: They collect someone's opinions together during the discussion, put them side by side, and show that they conflict with each other at the same time on the same subjects.... The person sees this, gets angry at themselves, and calmer towards others.
     From: Plato (The Sophist [c.359 BCE], 230b)
     A reaction: He goes on to say that the process is like a doctor purging a patient of internal harms. If anyone talks for long enough (even a good philosopher), their opinions will probably be seen to be in conflict. But which opinions do you abandon?
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 / A. Overview of Logic / 5. First-Order Logic
Theoretical and practical politics are both concerned with the best lives for individuals [Russell]
     Full Idea: Political ideals must be based upon ideals for the individual life. The aim of politics should be to make the lives of individuals as good as possible.
     From: Bertrand Russell (Political Ideals [1917], 1)
     A reaction: Russell floats between socialism and anarchism, but this foundational remark is classic liberalism.
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 / 3. Being / d. Non-being
What does 'that which is not' refer to? [Plato]
     Full Idea: What should the name 'that which is not' be applied to?
     From: Plato (The Sophist [c.359 BCE], 237c)
     A reaction: This leads into a discussion of the problem, in The Sophist. It became a large issue when modern logic was being developed by Frege and Russell.
7. Existence / A. Nature of Existence / 3. Being / e. Being and nothing
If statements about non-existence are logically puzzling, so are statements about existence [Plato]
     Full Idea: When the question was put to us as to the name of 'that which is not', to whatever one must apply it, we got stuck in every kind of perplexity. Are we now in any less perplexity about 'that which is'?
     From: Plato (The Sophist [c.359 BCE], 250d)
     A reaction: Nice. This precapitulates the whole story of modern philosophy of language. What started as a nagging doubt about reference to non-existents ends as bewilderment about everything we say.
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'
To be is to have a capacity, to act on other things, or to receive actions [Plato]
     Full Idea: A thing really is if it has any capacity, either by nature to do something to something else or to have even the smallest thing done to it by the most trivial thing, even if it only happens once. I'll define those which are as nothing other than capacity.
     From: Plato (The Sophist [c.359 BCE], 247e)
     A reaction: If philosophy is footnotes to Plato, this should be the foundational remark in all discussions of existence (though Parmenides might claim priority). It seems to say 'to be is to have a causal role (active or passive)'. It also seems essentialist.
7. Existence / D. Theories of Reality / 6. Physicalism
Some alarming thinkers think that only things which you can touch exist [Plato]
     Full Idea: One group drags everything down to earth, insisting that only what offers tangible contact is, since they define being as the same as body, despising anyone who says that something without a body is. These are frightening men.
     From: Plato (The Sophist [c.359 BCE], 246b)
7. Existence / D. Theories of Reality / 11. Ontological Commitment / a. Ontological commitment
Whenever there's speech it has to be about something [Plato]
     Full Idea: Whenever there's speech it has to be about something. It's impossible for it not to be about something.
     From: Plato (The Sophist [c.359 BCE], 262e)
     A reaction: [Quoted by Marcus about ontological commitment] The interesting test case would be speech about the existence of circular squares.
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.
8. Modes of Existence / D. Universals / 6. Platonic Forms / a. Platonic Forms
Good thinkers spot forms spread through things, or included within some larger form [Plato]
     Full Idea: It takes dialectic to divide things by kinds...such a person can discriminate a single form spread through a lot of separate things…and forms included in a single outside form…or a form connected as a unit through many wholes.
     From: Plato (The Sophist [c.359 BCE], 253d)
     A reaction: [compressed] This is very helpful in indicating the complex structure of the Forms that Plato envisages. If you talk of the meanings of words (other than names), though, it comes to the same thing. Wise people fully understand their language.
The not-beautiful is part of the beautiful, though opposed to it, and is just as real [Plato]
     Full Idea: So 'the not beautiful' turns out to be ..both marked off within one kind of those that are, and also set over against one of those that are, ..and the beautiful is no more a being than the not beautiful.
     From: Plato (The Sophist [c.359 BCE], 257d)
     A reaction: [dialogue eliminated] This is a highly significant passage, for two reasons. It suggests that the Form of the beautiful can have parts, and also that the negations of Forms are Forms themselves (both of which come as a surprise).
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 / A. Existence of Objects / 6. Nihilism about Objects
If we see everything as separate, we can then give no account of it [Plato]
     Full Idea: To dissociate each thing from everything else is to destroy totally everything there is to say. The weaving together of forms is what makes speech [logos] possible for us.
     From: Plato (The Sophist [c.359 BCE], 259e)
     A reaction: This I take to be the lynchpin of metaphysics. We are forced to see the world in a way which enables us to give some sort of account of it. Our metaphysics is 'inference to the best logos'.
12. Knowledge Sources / C. Rationalism / 1. Rationalism
A soul without understanding is ugly [Plato]
     Full Idea: The soul that lacks understanding must be set down as ugly.
     From: Plato (The Sophist [c.359 BCE], 228d)
     A reaction: The teleological view of things understands their nature in things of their perfection. and the essence of beauty is perfection. It is the mind's nature to know. Failing to know is as ugly as allowing your crops to die.
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?'
23. Ethics / A. Egoism / 1. Ethical Egoism
Wickedness is an illness of the soul [Plato]
     Full Idea: Wickedness is a sedition and illness of the soul.
     From: Plato (The Sophist [c.359 BCE], 228b)
23. Ethics / C. Virtue Theory / 3. Virtues / h. Respect
Individuals need creativity, reverence for others, and self-respect [Russell]
     Full Idea: What we shall desire for individuals is now clear: strong creative impulses, overpowering and absorbing the instinct of possession; reverence for others; respect for the fundamental creative impulses in ourselves.
     From: Bertrand Russell (Political Ideals [1917], 1)
     A reaction: Interesting that when Russell focuses on morality, he turns to virtues, rather than to rules. He uses 'reverence' where I would favour 'respect'. His concept of creativity is broad, and does not just concern art etc.
24. Political Theory / C. Ruling a State / 4. Changing the State / b. Devolution
We would not want UK affairs to be settled by a world parliament [Russell]
     Full Idea: We should none of us like the affairs of Great Britain to be settled by a parliament of the world.
     From: Bertrand Russell (Political Ideals [1917], 1)
     A reaction: The UK is currently (Dec 2018) living with a plan to quit Europe, mainly on the grounds that a European parliament has some authority over Britain. In every country resentment of the government increases with distance from the capital city.
Democracy is inadequate without a great deal of devolution [Russell]
     Full Idea: Democracy is not at all an adequate device unless it is accompanied by a very great amount of devolution.
     From: Bertrand Russell (Political Ideals [1917], 1)
     A reaction: This whole book of Russell's is an appeal for the devolution of power, and for workplace democracy.
24. Political Theory / D. Ideologies / 2. Anarchism
Anarchy does not maximise liberty [Russell]
     Full Idea: The greatest degree of liberty is not secured by anarchy. ...[22] The results of anarchy between states should suffice to persuade us that anarchism has no solution to offer for the evils of the world.
     From: Bertrand Russell (Political Ideals [1917], 1)
     A reaction: I've heard Russell described as an anarchist, but this clearly wasn't true in 1917. Presumably liberty has to be protected. That we were watching anarchy between states in 1917 is a vivid observation.
24. Political Theory / D. Ideologies / 5. Democracy / c. Direct democracy
Groups should be autonomous, with a neutral authority as arbitrator [Russell]
     Full Idea: For maximum freedom with minimum force: Autonomy within each politically important group, and a neutral authority for deciding questions involving relations between groups.
     From: Bertrand Russell (Political Ideals [1917], 3)
     A reaction: This is workplace democracy, and also considerable self-rule amongst minority groups such as religions.
24. Political Theory / D. Ideologies / 5. Democracy / f. Against democracy
On every new question the majority is always wrong at first [Russell]
     Full Idea: It is a mistake to suppose that the majority is necessarily right. On every new question the majority is always wrong at first.
     From: Bertrand Russell (Political Ideals [1917], 3)
     A reaction: Sounds like bitter experience. This is a good argument for taking time over decisions, and (topical) for a second referendum some time after the first one (if you must have a referendum).
Unfortunately ordinary voters can't detect insincerity [Russell]
     Full Idea: It is a painful fact that the ordinary voter, at any rate in England, is quite blind to insincerity.
     From: Bertrand Russell (Political Ideals [1917], 3)
     A reaction: Gor blimey yes! Well said, Bertie. Even in the age of television, when you can examine them in closeup, people seem to confuse superficial charm with genuine positive convictions. Why are people better at detecting it in private life?
24. Political Theory / D. Ideologies / 8. Socialism
When the state is the only employer, there is no refuge from the prejudices of other people [Russell]
     Full Idea: Under state socialism ...where the State is the only employer, there is no refuge from its prejudices such as may now accidentally arise through the differing opinions of men.
     From: Bertrand Russell (Political Ideals [1917], 2)
     A reaction: There is also a strong likelihood in full state socialism that the state will control housing as well as employment. This hadn't come to pass in 1917.
24. Political Theory / D. Ideologies / 11. Capitalism
Men unite in pursuit of material things, and idealise greed as part of group loyalty [Russell]
     Full Idea: Men combine in groups to attain more strength in the scramble for material goods, and loyalty to the group spreads a halo of quasi-idealism round the central impulse of greed.
     From: Bertrand Russell (Political Ideals [1917], 1)
     A reaction: See the 'greed is good' speech in the film 'Wall Street'. This sounds like a description of the USA, but Russell was very much in England at this stage.
25. Social Practice / A. Freedoms / 5. Freedom of lifestyle
We need security and liberty, and then encouragement of creativity [Russell]
     Full Idea: Security and liberty are only the negative conditions for good political institutions. When they have been won, we need also the positive condition: encouragement of creative energy.
     From: Bertrand Russell (Political Ideals [1917], 1)
     A reaction: This sounds like some sort of liberal socialism. The nearest connection I can see is to the 'capabilities approach' of Martha Nussbaum. How do you intervene to encourage creativity?
25. Social Practice / C. Rights / 4. Property rights
The right to own land gives a legal right to a permanent income [Russell]
     Full Idea: There are many ways of becoming rich without contributing anything to the wealth of the community. Ownership of land or capital, whether acquired or inherited, gives a legal right to a permanent income.
     From: Bertrand Russell (Political Ideals [1917], 2)
     A reaction: I suspect that in the past land was the main source of this right, but now it is more likely to be capital. Land carries obligations of some sort, so income from capital is more fun.
25. Social Practice / E. Policies / 5. Education / c. Teaching
Didactic education is hard work and achieves little [Plato]
     Full Idea: With a lot of effort the admonitory species of education accomplishes little.
     From: Plato (The Sophist [c.359 BCE], 230a)
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.
29. Religion / D. Religious Issues / 2. Immortality / d. Heaven
That our heaven is a dull place reflects the misery of excessive work in life [Russell]
     Full Idea: It is a sad evidence of the weariness mankind has suffered from excessive toil that his heavens have usually been places where nothing ever happened or changed.
     From: Bertrand Russell (Political Ideals [1917], 1)
     A reaction: Has any religion got an idea of heaven as a place full of lively activity and creative problem-solving? That is what suits us best.