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All the ideas for 'Function and Concept', 'God in Plato' and 'Concluding Unscientific Postscript'

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30 ideas

1. Philosophy / C. History of Philosophy / 2. Ancient Philosophy / c. Classical philosophy
Among the Greeks Aristotle is the only philosopher in the modern style [Weil]
     Full Idea: In Greece, Aristotle is perhaps the only philosopher in the modern sense, and he is entirely outside the Greek tradition.
     From: Simone Weil (God in Plato [1942], p.45)
     A reaction: She sees Plato as embodying the true tradition. Everything Aristotle writes is 'peri phusis' (about nature), and that is a standard topic of philosophy right from the start. She emphasises Plato long historical roots. Pythagoras is key.
1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / d. Philosophy as puzzles
I conceived it my task to create difficulties everywhere [Kierkegaard]
     Full Idea: I conceived it my task to create difficulties everywhere.
     From: Søren Kierkegaard (Concluding Unscientific Postscript [1846], 'Author')
     A reaction: Nice. It is like Socrates's image of himself as the 'gadfly' of Athens. The interesting question is always to see what the rest of society makes of having someone in their midst who sees it as their social role to 'create difficulties'.
1. Philosophy / D. Nature of Philosophy / 8. Humour
Wherever there is painless contradiction there is also comedy [Kierkegaard]
     Full Idea: Wherever there is contradiction, the comical is also present. ...The tragic is the suffering contradiction, the comical is the painless contradiction.
     From: Søren Kierkegaard (Concluding Unscientific Postscript [1846], p.459), quoted by Terry Pinkard - German Philosophy 1760-1860 13
     A reaction: He is not saying that this is the only source of comedy. I once heard an adult say that there is one thing that is always funny, and that is a fart.
3. Truth / A. Truth Problems / 2. Defining Truth
Kierkegaard's truth draws on authenticity, fidelity and honesty [Kierkegaard, by Carlisle]
     Full Idea: Kierkegaard offers a different interpretation of truth, which draws on the notions of authenticity, fidelity and honesty.
     From: report of Søren Kierkegaard (Concluding Unscientific Postscript [1846]) by Clare Carlisle - Kierkegaard: a guide for the perplexed 4
     A reaction: This notion of truth, meaning 'the real thing' (as in 'she was a true scholar'), seems to begin with Hegel. I suggest we use the word 'genuine' for that, and save 'truth' for its traditional role. It is disastrous to blur the simple concept of truth.
3. Truth / A. Truth Problems / 3. Value of Truth
Pure truth is for infinite beings only; I prefer endless striving for truth [Kierkegaard]
     Full Idea: If God held all truth enclosed in his right hand, and in his left hand the ever-striving drive for truth, even if erring forever, and he were to say Choose! I would humbly fall at his left hand and say Father, give! Pure truth is for infinite beings only.
     From: Søren Kierkegaard (Concluding Unscientific Postscript [1846], p.106)
     A reaction: A sobering realistic thought of our own limitations; Kierkegaard allows that there is no limit to how far we can strive for truth. Just that truth is comprehended by infinite beings (if any), not by mere mortals. [SY]
3. Truth / A. Truth Problems / 8. Subjective Truth
The highest truth we can get is uncertainty held fast by an inward passion [Kierkegaard]
     Full Idea: An objective uncertainty held fast in an appropriation-process of the most passionate inwardness is the truth, the highest truth available for an existing individual.
     From: Søren Kierkegaard (Concluding Unscientific Postscript [1846])
     A reaction: [Bk 711] Offered as a definition of truth, knowing how strange and paradoxical it sounds. If we view all life as subjectivity, then there can of course be nothing more to truth than passionate conviction. Personally I think thought can be objective.
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.
16. Persons / B. Nature of the Self / 2. Ethical Self
The real subject is ethical, not cognitive [Kierkegaard]
     Full Idea: The real subject is not the cognitive subject …the real subject is the ethically existing subject.
     From: Søren Kierkegaard (Concluding Unscientific Postscript [1846], p.281), quoted by Kevin Aho - Existentialism: an introduction 2 'Subjective'
     A reaction: Perhaps we should say the essence of the self is its drive to live, not its drive to know. Just getting through the day is top priority, and ethics don’t figure much for the solitary person. But each activity, such as cooking, has its virtues.
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 / F. Existentialism / 1. Existentialism
While big metaphysics is complete without ethics, personal philosophy emphasises ethics [Kierkegaard]
     Full Idea: While the Hegelian philosophy goes on and is finished without having an Ethics, the more simple philosophy which is propounded by an existing individual for existing individuals, will more especially emphasis the ethical.
     From: Søren Kierkegaard (Concluding Unscientific Postscript [1846], 'Lessing')
     A reaction: This is reminiscent of the Socratic revolution, which shifted philosophy from the study of nature to the study of personal virtue. However, if we look for ethical teachings in existentialism, there often seems to be a black hole in the middle.
Speculative philosophy loses the individual in a vast vision of humanity [Kierkegaard]
     Full Idea: Being an individual man is a thing that has been abolished, and every speculative philosopher confuses himself with humanity at large, whereby he becomes infinitely great - and at the same time nothing at all.
     From: Søren Kierkegaard (Concluding Unscientific Postscript [1846], 'Lessing')
     A reaction: Compare Idea 4840. This is a beautiful statement of the motivation for existentialism. The sort of philosophers who love mathematics (Plato, Descartes, Leibniz, Russell) love losing themselves in abstractions. This is the rebellion.
23. Ethics / F. Existentialism / 6. Authentic Self
People want to lose themselves in movements and history, instead of being individuals [Kierkegaard]
     Full Idea: Everything must attach itself so as to be part of some movement; men are determined to lose themselves in the totality of things, in world-history, fascinated and deceived by a magic witchery; no one wants to be an individual human being.
     From: Søren Kierkegaard (Concluding Unscientific Postscript [1846])
     A reaction: [Bk 711] I presume 'world-history' refers to the exhilerating ideas of Hegel. Right now [2017] I would say we have far too much of people only wanting to be individuals, with insufficient attention to our social nature.
Becoming what one is is a huge difficulty, because we strongly aspire to be something else [Kierkegaard]
     Full Idea: Striving to become what one already is is a very difficult task, the most difficult of all, because every human being has a strong natural bent and passion to become something more and different.
     From: Søren Kierkegaard (Concluding Unscientific Postscript [1846], 'Subjective')
     A reaction: Presumably most people continually drift between vanity and low self-esteem, and between unattainable daydreams and powerless immediate reality. That creates the stage on which Kierkegaard's interesting battle would have to be fought.
28. God / A. Divine Nature / 2. Divine Nature
God does not think or exist; God creates, and is eternal [Kierkegaard]
     Full Idea: God does not think, He creates; God does not exist, he is eternal.
     From: Søren Kierkegaard (Concluding Unscientific Postscript [1846], 'Thinker')
     A reaction: The sort of nicely challenging remarks we pay philosophers to come up with. I don't understand the second claim, but the first one certainly avoids all paradoxes that arise if God experiences all the intrinsic problems of thinking.
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 / B. Proving God / 3. Proofs of Evidence / b. Teleological Proof
The only legitimate proof of God by order derives from beauty [Weil]
     Full Idea: The only legitimate proof [of God's existence] from the order of the world is the proof from the beauty of the world.
     From: Simone Weil (God in Plato [1942], p.89)
     A reaction: She finds this proof in Plato. Hume's critique never (I think) mentions beauty, although in the 18thC love of the sublime could play that role. For me, the human experience of beauty doesn't have such cosmic significance.
28. God / B. Proving God / 3. Proofs of Evidence / d. Religious Experience
God cannot be demonstrated objectively, because God is a subject, only existing inwardly [Kierkegaard]
     Full Idea: Choosing the objective way enters upon the entire approximation-process by which it is proposed to bring God to light objectively. But this is in all eternity impossible, because God is a subject, and therefore exist only for subjectivity in inwardness.
     From: Søren Kierkegaard (Concluding Unscientific Postscript [1846])
     A reaction: [pg in 711] This seems to have something like Wittgenstein's problem with a private language - that with no external peer-review it is unclear what the commitment is.
28. God / C. Attitudes to God / 2. Pantheism
Pantheism destroys the distinction between good and evil [Kierkegaard]
     Full Idea: So called pantheistic systems have often been characterised and challenged by the assertion that they abrogate the distinction between good and evil.
     From: Søren Kierkegaard (Concluding Unscientific Postscript [1846], 'Lessing')
     A reaction: He will have Spinoza in mind. Interesting. Obviously this criticism would come from someone who thought that the traditional deity was the only source of goodness. Good/evil isn't all-or-nothing. A monistic system could contain them.
29. Religion / D. Religious Issues / 1. Religious Commitment / e. Fideism
Without risk there is no faith [Kierkegaard]
     Full Idea: Without risk there is no faith.
     From: Søren Kierkegaard (Concluding Unscientific Postscript [1846], 'Inwardness')
     A reaction: Remarks like this make you realise that Kierkegaard is just as much of a romantic as most of the other nineteenth century philosophers. Plunge into the dark unknown of the human psyche, in order to intensify and heighten human life.
Faith is the highest passion in the sphere of human subjectivity [Kierkegaard]
     Full Idea: Faith is the highest passion in the sphere of human subjectivity.
     From: Søren Kierkegaard (Concluding Unscientific Postscript [1846], 'Subjective')
     A reaction: The word 'highest' should always ring alarm bells. The worst sort of religious fanatics seem to be in the grip of this 'high' passion. The early twenty-first century is an echo of eighteenth century England, with its dislike of religious 'enthusiasm'.