Combining Texts

All the ideas for 'Function and Concept', 'Davidson on himself' and 'Katzav on limitations of dispositions'

unexpand these ideas     |    start again     |     specify just one area for these texts


33 ideas

2. Reason / A. Nature of Reason / 5. Objectivity
Truth and objectivity depend on a community of speakers to interpret what they mean [Davidson]
     Full Idea: The basis on which the concepts of truth and objectivity depend for application is a community of understanding, agreement among speakers on how each is to be understood.
     From: Donald Davidson (Davidson on himself [1994], p.233)
     A reaction: Obviously all understanding is, in practice, an interpretation by a community, but that isn't what 'truth' means. We mean 'true independently of any community'.
There are no ultimate standards of rationality, since we only assess others by our own standard [Davidson]
     Full Idea: It makes no sense to speak of comparing or agreeing on ultimate standards of rationality, since it is our own standards in each case to which we must turn in interpreting others. This is not a failure of objectivity, but where 'questions come to an end'.
     From: Donald Davidson (Davidson on himself [1994], p.232)
     A reaction: This seems wrong, given the commitment to truth and charity in interpretation. He could have said the same about perception, but I doubt if he would.
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 / 1. Mind / a. Mind
There are no such things as minds, but people have mental properties [Davidson]
     Full Idea: There are no such things as minds, but people have mental properties.
     From: Donald Davidson (Davidson on himself [1994], p.231)
     A reaction: I think this is right. It fits with Searle's notion of consciousness as a property, like the liquidity of water. I don't panic if I think "I have no mind, but I have extraordinary properties".
17. Mind and Body / D. Property Dualism / 1. Reductionism critique
If the mind is an anomaly, this makes reduction of the mental to the physical impossible [Davidson]
     Full Idea: If there are no strict psychophysical laws, this rules out reductionism, either by definition of mental predicates in physical terms, or by way of bridging laws.
     From: Donald Davidson (Davidson on himself [1994], p.231)
     A reaction: But it is by no means clear that there are no psycho-physical laws. How could this be known a priori?
17. Mind and Body / D. Property Dualism / 2. Anomalous Monism
Obviously all mental events are causally related to physical events [Davidson]
     Full Idea: All mental events are causally related to physical events. ..This seems obvious.
     From: Donald Davidson (Davidson on himself [1994], p.231)
     A reaction: All mental events are physically caused. Some bodily physical events result from mental events. Probably all mental events have some effect of other mental events (all of which are in some sense physical).
There are no strict psychophysical laws connecting mental and physical events [Davidson]
     Full Idea: There are no strict psychophysical laws (that is, laws connecting mental events under their mental descriptions with physical events under their physical descriptions).
     From: Donald Davidson (Davidson on himself [1994], p.231)
     A reaction: This is clearly open to question. It may be just that no human mind could ever grasp such laws, given their probable complexity.
Mental entities do not add to the physical furniture of the world [Davidson]
     Full Idea: Mental entities do not add to the physical furniture of the world.
     From: Donald Davidson (Davidson on himself [1994], p.231)
     A reaction: This seems to me clearly true, however we propose to characterise mental events.
17. Mind and Body / D. Property Dualism / 3. Property Dualism
The correct conclusion is ontological monism combined with conceptual dualism [Davidson]
     Full Idea: My basic premises lead to the conclusion of ontological monism coupled with conceptual dualism (like Spinoza, except that he denied mental causation).
     From: Donald Davidson (Davidson on himself [1994], p.231)
     A reaction: 'Conceptual dualism' implies no real difference, but 'property dualism' is better, suggesting different properties when viewed from different angles.
18. Thought / A. Modes of Thought / 5. Rationality / a. Rationality
Absence of all rationality would be absence of thought [Davidson]
     Full Idea: To imagine a totally irrational animal is to imagine an animal without thought.
     From: Donald Davidson (Davidson on himself [1994], p.232)
     A reaction: This wouldn't be so clear without the theory of evolution, which suggests that only the finders of truth last long enough to breed.
18. Thought / C. Content / 6. Broad Content
Our meanings are partly fixed by events of which we may be ignorant [Davidson]
     Full Idea: What we mean by what we say is partly fixed by events of which we may be ignorant.
     From: Donald Davidson (Davidson on himself [1994], p.235)
     A reaction: There is 'strict and literal meaning', which is fixed by the words, even if I don't know what I am saying. But 'speaker's meaning' is surely a pure matter of a state of mind?
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?'
19. Language / D. Propositions / 6. Propositions Critique
Propositions explain nothing without an explanation of how sentences manage to name them [Davidson]
     Full Idea: The idea of a proposition is unhelpful, until it is explained how exactly the words in the contained sentence manage to name or describe a proposition (which even Frege failed to achieve).
     From: Donald Davidson (Davidson on himself [1994], p.232)
     A reaction: It seems obvious to me that there are brain events best labelled as propositions, even if their fit with language is puzzling.
19. Language / F. Communication / 4. Private Language
Thought is only fully developed if we communicate with others [Davidson]
     Full Idea: We would have no fully-fledge thoughts if we were not in communication with others.
     From: Donald Davidson (Davidson on himself [1994], p.233)
     A reaction: This seems a plausible empirical observation, though I would doubt any a priori proof of it. If animals could speak, they would become intellectuals?
19. Language / F. Communication / 6. Interpreting Language / c. Principle of charity
There is simply no alternative to the 'principle of charity' in interpreting what others do [Davidson]
     Full Idea: The 'principle of charity' is a misleading term, since there is no alternative if we want to make sense of the attitudes and actions of the agents around us.
     From: Donald Davidson (Davidson on himself [1994], p.233)
     A reaction: I suppose so, but only with a background of evolutionary theory. I would necessarily assume charity if a robot spoke to me.
25. Social Practice / E. Policies / 5. Education / c. Teaching
Without a teacher, the concept of 'getting things right or wrong' is meaningless [Davidson]
     Full Idea: Without a 'teacher', nothing would give content to the idea that there is a difference between getting things right and getting them wrong.
     From: Donald Davidson (Davidson on himself [1994], p.234)
     A reaction: Seems right. A group of speculators with no one in the role of 'teacher' would seem to be paralysed with uncertain (except where judgements are very obvious).
26. Natural Theory / B. Natural Kinds / 1. Natural Kinds
The natural kinds are objects, processes and properties/relations [Ellis]
     Full Idea: There are three hierarchies of natural kinds: objects or substances (substantive universals), events or processes (dynamic universals), and properties or relations (tropic universals).
     From: Brian Ellis (Katzav on limitations of dispositions [2005], 91)
     A reaction: Most interesting here is the identifying of natural kinds with universals, making universals into the families of nature. Universals are high-level sets of natural kinds. To grasp universals you must see patterns, and infer the underlying order.
26. Natural Theory / C. Causation / 9. General Causation / b. Nomological causation
Cause and effect relations between events must follow strict laws [Davidson]
     Full Idea: If two events are related as cause and effect, there is a strict law under which they may be subsumed.
     From: Donald Davidson (Davidson on himself [1994], p.231)
     A reaction: Davidson admits that this is open to challenge (though Hume and Kant supported it). It does seem to be central to our understanding of nature.
26. Natural Theory / D. Laws of Nature / 2. Types of Laws
Least action is not a causal law, but a 'global law', describing a global essence [Ellis]
     Full Idea: The principle of least action is not a causal law, but is what I call a 'global law', which describes the essence of the global kind, which every object in the universe necessarily instantiates.
     From: Brian Ellis (Katzav on limitations of dispositions [2005])
     A reaction: As a fan of essentialism I find this persuasive. If I inherit part of my essence from being a mammal, I inherit other parts of my essence from being an object, and all objects would share that essence, so it would look like a 'law' for all objects.
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / a. Scientific essentialism
A species requires a genus, and its essence includes the essence of the genus [Ellis]
     Full Idea: A specific universal can exist only if the generic universal of which it is a species exists, but generic universals don't depend on species; …the essence of any genus is included in its species, but not conversely.
     From: Brian Ellis (Katzav on limitations of dispositions [2005], 91)
     A reaction: Thus the species 'electron' would be part of the genus 'lepton', or 'human' part of 'mammal'. The point of all this is to show how individual items connect up with the rest of the universe, giving rise to universal laws, such as Least Action.
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / c. Essence and laws
A hierarchy of natural kinds is elaborate ontology, but needed to explain natural laws [Ellis]
     Full Idea: The hierarchy of natural kinds proposed by essentialism may be more elaborate than is strictly required for purposes of ontology, but it is necessary to explain the necessity of the laws of nature, and the universal applicability of global principles.
     From: Brian Ellis (Katzav on limitations of dispositions [2005], 91)
     A reaction: I am all in favour of elaborating ontology in the name of best explanation. There seem, though, to be some remaining ontological questions at the point where the explanations of essentialism run out.
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / d. Knowing essences
Without general principles, we couldn't predict the behaviour of dispositional properties [Ellis]
     Full Idea: It is objected to dispositionalism that without the principle of least action, or some general principle of equal power, the specific dispositional properties of things could tell us very little about how these things would be disposed to behave.
     From: Brian Ellis (Katzav on limitations of dispositions [2005], 90)
     A reaction: Ellis attempts to meet this criticism, by placing dispositional properties within a hierarchy of broader properties. There remains a nagging doubt about how essentialism can account for space, time, order, and the existence of essences.
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.