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All the ideas for 'Function and Concept', 'The Later Works (17 vols, ed Boydston)' and 'Summula philosophiae naturalis'

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27 ideas

1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined
Philosophy is the study and criticsm of cultural beliefs, to achieve new possibilities [Dewey]
     Full Idea: Philosophy is criticism of the influential beliefs that underlie culture, tracking them to their generating conditions and results, and considering their mutual compatibility. This terminates in a new perspective, which leads to new possibilities.
     From: John Dewey (The Later Works (17 vols, ed Boydston) [1930], 6:19), quoted by David Hildebrand - Dewey Intro
     A reaction: [compressed] This would make quite a good manifesto for French thinkers of the 1960s. Foucault could hardly disagree. An excellent idea.
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
Liberalism should improve the system, and not just ameliorate it [Dewey]
     Full Idea: Liberalism must become radical in the sense that, instead of using social power to ameliorate the evil consequences of the existing system, it shall use social power to change the system.
     From: John Dewey (The Later Works (17 vols, ed Boydston) [1930], 11:287), quoted by David Hildebrand - Dewey 4 'Dewey'
     A reaction: Conservative liberals ask what people want, and try to give it to them. Radical liberals ask what people actually need, and try to make it possible. The latter is bound to be a bit paternalistic, but will probably create a better world.
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'
7. Existence / E. Categories / 5. Category Anti-Realism
Ockham was an anti-realist about the categories [William of Ockham, by Pasnau]
     Full Idea: Ockham is the scholastic paradigm of anti-realism with respect to the categories.
     From: report of William of Ockham (Summula philosophiae naturalis [1320]) by Robert Pasnau - Metaphysical Themes 1274-1671 05.3
     A reaction: These are the ten categories mentioned in Aristotle's book 'Categories'.
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 / C. Structure of Objects / 4. Quantity of an Object
Ockham says matter must be extended, so we don't need Quantity [William of Ockham, by Pasnau]
     Full Idea: Ockham regards Quantity as an entirely superfluous ontological category, …because matter is intrinsically extended.
     From: report of William of Ockham (Summula philosophiae naturalis [1320]) by Robert Pasnau - Metaphysical Themes 1274-1671 04.4
Matter gets its quantity from condensation and rarefaction, which is just local motion [William of Ockham]
     Full Idea: Matter is made to have a greater or lesser quantity not through its receiving any absolute accident, but through condensation and rarefaction alone. Parts come more or less close together, which can happen with local motion.
     From: William of Ockham (Summula philosophiae naturalis [1320], I.13), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 15.1
     A reaction: This is Ockham at his most modern, rejecting the odd idea of Quantity in favour of a modern corpuscular view of the mere motions of matter.
11. Knowledge Aims / A. Knowledge / 1. Knowledge
Knowledge is either the product of competent enquiry, or it is meaningless [Dewey]
     Full Idea: Knowledge, as an abstract term, is a name for the product of competent enquiries. Apart from this relation, its meaning is so empty that any content or filling may be arbitrarily poured into it.
     From: John Dewey (The Later Works (17 vols, ed Boydston) [1930], 12:16), quoted by David Hildebrand - Dewey 2 'Knowledge'
     A reaction: What is the criterion of 'competent'? Danger of tautology, if competent enquiry is what produces knowledge.
11. Knowledge Aims / B. Certain Knowledge / 1. Certainty
The quest for certainty aims for peace, and avoidance of the stress of action [Dewey]
     Full Idea: The quest for certainty is a quest for a peace which is assured, an object which is unqualified by risk and the shadow of fear which action costs.
     From: John Dewey (The Later Works (17 vols, ed Boydston) [1930], 4:7), quoted by David Hildebrand - Dewey 2 'Intro'
     A reaction: This is a characteristic pragmatist account. I think Dewey and Peirce offer us the correct attitude to certainty. It is just not available to us, and can only be a delusion. That doesn't mean we don't know anything, however!
11. Knowledge Aims / B. Certain Knowledge / 3. Fallibilism
No belief can be so settled that it is not subject to further inquiry [Dewey]
     Full Idea: The attainment of settled beliefs is a progressive matter; there is no belief so settled as not to be exposed to further inquiry.
     From: John Dewey (The Later Works (17 vols, ed Boydston) [1930], 12:16), quoted by David Hildebrand - Dewey 2 'Knowledge'
     A reaction: A nice pragmatist mantra, but no scientists gets a research grant to prove facts which have been securely established for a very long time. It is neurotic to keep returning to check that you have locked your front door. Dewey introduced 'warranted'.
15. Nature of Minds / A. Nature of Mind / 1. Mind / a. Mind
Mind is never isolated, but only exists in its interactions [Dewey]
     Full Idea: Mind is primarily a verb. ...Mind never denotes anything self-contained, isolated from the world of persons and things, but is always used with respect to situations, events, objects, persons and groups.
     From: John Dewey (The Later Works (17 vols, ed Boydston) [1930], 10:267), quoted by David Hildebrand - Dewey 1 'emerge'
     A reaction: I strongly agree with the idea that mind is a process, not a thing. Certain types of solitary introspection don't seem to quite fit his account, but in general he is right.
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?'
24. Political Theory / D. Ideologies / 6. Liberalism / a. Liberalism basics
Liberals aim to allow individuals to realise their capacities [Dewey]
     Full Idea: Liberalism is committed to …the liberation of individuals so that realisation of their capacities may be the law of their life.
     From: John Dewey (The Later Works (17 vols, ed Boydston) [1930], 11:41), quoted by David Hildebrand - Dewey 4 'Dewey'
     A reaction: Capacity expression as the main aim of politics is precisely the idea developed more fully in modern times by Amartya Sen and Martha Nussbaum. It strikes me as an excellent proposal. Does it need liberalism, or socialism?
24. Political Theory / D. Ideologies / 7. Communitarianism / a. Communitarianism
The things in civilisation we prize are the products of other members of our community [Dewey]
     Full Idea: The things in civilisation we most prize are not of ourselves. They exist by grace of the doings and sufferings of the continuous human community in which we are a link
     From: John Dewey (The Later Works (17 vols, ed Boydston) [1930], 9:57), quoted by David Hildebrand - Dewey 7 'Reconstruct'
     A reaction: Dewey defends liberalism, but he has strong communitarian tendencies. What is the significance of an enduring community losing touch with its own achievements?
28. God / A. Divine Nature / 2. Divine Nature
'God' is an imaginative unity of ideal values [Dewey]
     Full Idea: 'God' represents a unification of ideal values that is essentially imaginative in origin.
     From: John Dewey (The Later Works (17 vols, ed Boydston) [1930], 9:29), quoted by David Hildebrand - Dewey 7 'Construct'
     A reaction: This seems to have happened when a flawed God like Zeus is elevated to be the only God, and is given supreme power and wisdom.
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 / 1. Religious Commitment / a. Religious Belief
We should try attaching the intensity of religious devotion to intelligent social action [Dewey]
     Full Idea: One of the few experiments in the attachment of emotion to ends that mankind has not tried is that of devotion (so intense as to be religious) to intelligence as a force in social action.
     From: John Dewey (The Later Works (17 vols, ed Boydston) [1930], 9:53), quoted by David Hildebrand - Dewey 7 'Intro'
     A reaction: An interesting thought that religious emotions such as devotion are so distinctive that they can be treated as valuable, even in the absence of belief. He seems to be advocating Technocracy.
Religions are so shockingly diverse that they have no common element [Dewey]
     Full Idea: There is only a multitude of religions …and the differences between them are so great and so shocking that any common element that can be extracted is meaningless.
     From: John Dewey (The Later Works (17 vols, ed Boydston) [1930], 9:7), quoted by David Hildebrand - Dewey 7 'Construct'
     A reaction: Religion is for Dewey what a game was for Wittgenstein, as an anti-essentialist example. I would have thought that they all involved some commitment to a realm of transcendent existence.