Combining Philosophers

All the ideas for Archimedes, Robert Audi and Tyler Burge

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42 ideas

5. Theory of Logic / A. Overview of Logic / 3. Value of Logic
Given that thinking aims at truth, logic gives universal rules for how to do it [Burge]
     Full Idea: The laws of logic - which are constituted by atemporal thoughts and atemporal subject matter - provide universal prescriptions of how one ought to think, given that one's thinking has the function of attaining truth.
     From: Tyler Burge (Frege on Knowing the Third Realm [1992], p.316)
     A reaction: Burge is giving, and endorsing, Frege's view. Burge is fighting a rearguard action, when logical systems keep proliferating. See Idea 10282. I sympathise with the dream of Burge and Frege.
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
We now have a much more sophisticated understanding of logical form in language [Burge]
     Full Idea: The second half of the twentieth century has seen the development of a vastly more sophisticated sense of logical form, as applied to natural languages.
     From: Tyler Burge (Philosophy of Mind: 1950-2000 [2005], p.462)
     A reaction: Burge cites this as one of the three big modern developments (along with the critique of logical positivism, and direct reference/anti-individualism). Vagueness may be the last frontier for this development.
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
We come to believe mathematical propositions via their grounding in the structure [Burge]
     Full Idea: A deeper justification for believing in [mathematical] propositions [apart from pragmatism] lies in finding their place in a logicist proof structure, by understanding the grounds within this structure that support them.
     From: Tyler Burge (Frege on Knowing the Foundations [1998], 3)
     A reaction: This generalises to doubting something until you see what grounds it.
6. Mathematics / A. Nature of Mathematics / 2. Geometry
The equivalent algebra model of geometry loses some essential spatial meaning [Burge]
     Full Idea: Geometrical concepts appear to depend in some way on a spatial ability. Although one can translate geometrical propositions into algebraic ones and produce equivalent models, the meaning of the propositions seems to me to be thereby lost.
     From: Tyler Burge (Frege on Apriority (with ps) [2000], 4)
     A reaction: I think this is a widely held view nowadays. Giaquinto has a book on it. A successful model of something can't replace it. Set theory can't replace arithmetic.
You can't simply convert geometry into algebra, as some spatial content is lost [Burge]
     Full Idea: Although one can translate geometrical propositions into algebraic ones and produce equivalent models, the meaning of geometrical propositions seems to me to be thereby lost. Pure geometry involves spatial content, even if abstracted from physical space.
     From: Tyler Burge (Frege on Apriority [2000], IV)
     A reaction: This supports Frege's view (against Quine) that geometry won't easily fit into the programme of logicism. I agree with Burge. You would be focusing on the syntax of geometry, and leaving out the semantics.
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
Archimedes defined a straight line as the shortest distance between two points [Archimedes, by Leibniz]
     Full Idea: Archimedes gave a sort of definition of 'straight line' when he said it is the shortest line between two points.
     From: report of Archimedes (fragments/reports [c.240 BCE]) by Gottfried Leibniz - New Essays on Human Understanding 4.13
     A reaction: Commentators observe that this reduces the purity of the original Euclidean axioms, because it involves distance and measurement, which are absent from the purest geometry.
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
Peano arithmetic requires grasping 0 as a primitive number [Burge]
     Full Idea: In the Peano axiomatisation, arithmetic seems primitively to involve the thought that 0 is a number.
     From: Tyler Burge (Frege on Apriority (with ps) [2000], 5)
     A reaction: Burge is pointing this out as a problem for Frege, for whom only the logic is primitive.
10. Modality / A. Necessity / 7. Natural Necessity
Because 'gold is malleable' is necessary does not mean that it is analytic [Audi,R]
     Full Idea: Taking the proposition that gold is malleable to be necessary does not commit one to considering it analytic.
     From: Robert Audi (Epistemology: contemporary introduction [1998], IV p.116)
11. Knowledge Aims / A. Knowledge / 4. Belief / d. Cause of beliefs
Beliefs are based on perception, memory, introspection or reason [Audi,R]
     Full Idea: The four basic kinds of belief are rooted in perception, memory, introspective consciousness, and reason.
     From: Robert Audi (Epistemology: contemporary introduction [1998], Intr.p.7)
11. Knowledge Aims / A. Knowledge / 4. Belief / e. Belief holism
Could you have a single belief on its own? [Audi,R]
     Full Idea: Could one have just a single belief?
     From: Robert Audi (Epistemology: contemporary introduction [1998], VII p.198)
11. Knowledge Aims / B. Certain Knowledge / 1. Certainty
We can make certain of what we know, so knowing does not entail certainty [Audi,R]
     Full Idea: The possibility of making certain of what we already know suggests that knowing a proposition does not entail its being certain.
     From: Robert Audi (Epistemology: contemporary introduction [1998], VIII p.220)
11. Knowledge Aims / C. Knowing Reality / 2. Phenomenalism
If you gradually remove a book's sensory properties, what is left at the end? [Audi,R]
     Full Idea: If you imagine subtracting a book's sensory properties one by one, what is left of it?
     From: Robert Audi (Epistemology: contemporary introduction [1998], I p.42)
Sense-data theory is indirect realism, but phenomenalism is direct irrealism [Audi,R]
     Full Idea: Where the sense-datum theory is an indirect realism, phenomenalism is a direct irrealism.
     From: Robert Audi (Epistemology: contemporary introduction [1998], I p.43)
12. Knowledge Sources / A. A Priori Knowledge / 1. Nature of the A Priori
Is apriority predicated mainly of truths and proofs, or of human cognition? [Burge]
     Full Idea: Whereas Leibniz and Frege predicate apriority primarily of truths (or more fundamentally, proofs of truths), Kant predicates apriority primarily of cognition and the employment of representations.
     From: Tyler Burge (Frege on Apriority (with ps) [2000], 1)
12. Knowledge Sources / A. A Priori Knowledge / 9. A Priori from Concepts
The concepts needed for a priori thought may come from experience [Audi,R]
     Full Idea: I may well need experience to acquire the concepts needed for knowledge of the a priori, such as the concept of a colour.
     From: Robert Audi (Epistemology: contemporary introduction [1998], IV p.103)
Red and green being exclusive colours seems to be rationally graspable but not analytic [Audi,R]
     Full Idea: The proposition that nothing is red and green all over at once is not analytic, but it is rationally graspable, so it seems to be an a priori synthetic proposition.
     From: Robert Audi (Epistemology: contemporary introduction [1998], IV p.100)
12. Knowledge Sources / B. Perception / 3. Representation
How could I see a field and believe nothing regarding it? [Audi,R]
     Full Idea: How could I see a field and believe nothing regarding it?
     From: Robert Audi (Epistemology: contemporary introduction [1998], I p.20)
To see something as a field, I obviously need the concept of a field [Audi,R]
     Full Idea: The propositional belief which portrays what I see in front of me AS a field requires my having a concept of one.
     From: Robert Audi (Epistemology: contemporary introduction [1998], I p.17)
     A reaction: To me this immediately invites the question of what a cow or horse experiences when they look at a familiar field. They know how to leave and enter it, and register its boundaries and qualities. Concepts?
12. Knowledge Sources / B. Perception / 4. Sense Data / a. Sense-data theory
Sense data imply representative realism, possibly only representing primary qualities [Audi,R]
     Full Idea: A sense-datum theory might be called a representative realism because it conceives perception as a relation in which sense-data represent perceived external (hence real) objects to us. For Locke they were resemblances only of primary qualities.
     From: Robert Audi (Epistemology: contemporary introduction [1998], I p.33)
Sense-data (and the rival 'adverbial' theory) are to explain illusions and hallucinations [Audi,R]
     Full Idea: The sense-datum theory is mainly to explain hallucinations and illusions, though there might be other theories, such as the 'adverbial' theory.
     From: Robert Audi (Epistemology: contemporary introduction [1998], I p.36)
12. Knowledge Sources / B. Perception / 5. Interpretation
Perception is first simple, then objectual (with concepts) and then propositional [Audi,R]
     Full Idea: Simple perceiving gives rise to objectual perceiving (attaching concepts to the object), which gives rise to propositional perceiving.
     From: Robert Audi (Epistemology: contemporary introduction [1998], I p.23)
12. Knowledge Sources / C. Rationalism / 1. Rationalism
Virtually all rationalists assert that we can have knowledge of synthetic a priori truths [Audi,R]
     Full Idea: Rationalists virtually always assert or imply that, in addition to knowledge of analytic truths, there is knowledge of synthetic a priori truths.
     From: Robert Audi (Epistemology: contemporary introduction [1998], IV p.105)
The principles of justification have to be a priori [Audi,R]
     Full Idea: The crucial principles of justification are a priori.
     From: Robert Audi (Epistemology: contemporary introduction [1998], X p.311)
12. Knowledge Sources / E. Direct Knowledge / 4. Memory
To remember something is to know it [Audi,R]
     Full Idea: Remembering something is so entails knowing that it is so.
     From: Robert Audi (Epistemology: contemporary introduction [1998], II p.68)
     A reaction: Clearly I can say I "remember" x, but be wrong. Presumably we then say that I didn't really remember, which requires success, like "I know". It is true (as with "know") that as soon as I say that the something is false, I can't claim to remember it.
I might remember someone I can't recall or image, by recognising them on meeting [Audi,R]
     Full Idea: If I can neither recall nor image Jane I can still remember her, for on seeing her I might recognise her, and might remember, and even recall, our last meeting.
     From: Robert Audi (Epistemology: contemporary introduction [1998], II p.66)
     A reaction: Hm. I can hardly claim to remember her if I have no concept of her, and don't recall our last meeting. If seeing her triggers recognition, I would say that I NOW remember her, but I didn't before. Memory is more conscious than Audi claims.
13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / a. Agrippa's trilemma
Justification is either unanchored (infinite or circular), or anchored (in knowledge or non-knowledge) [Audi,R]
     Full Idea: There are four possible kinds of epistemic chain: infinite and unanchored, circular and unanchored, anchored in a belief which is not knowledge, and anchored in a belief which is bedrock knowledge.
     From: Robert Audi (Epistemology: contemporary introduction [1998], VII p.183)
     A reaction: About right, though I don't think 'chain' is the right word for what is proposed if justification is to be coherent. The justifications float like lilies in the pond of reason, and a Self (Monet?) seems needed to assess the picture
13. Knowledge Criteria / A. Justification Problems / 3. Internal or External / a. Pro-internalism
Internalism about justification implies that there is a right to believe something [Audi,R]
     Full Idea: Internalists about justification tend to conceive of it as a matter of having a right to believe something.
     From: Robert Audi (Epistemology: contemporary introduction [1998], VIII p.234)
     A reaction: I'm an internalist, but I don't understand this, unless it refers to the social aspect of justification. Can I grant myself internal rights? I can justify my belief to other people.
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / c. Coherentism critique
Maths may be consistent with observations, but not coherent [Audi,R]
     Full Idea: That 7+5=12 and that carrots are nourishing are mutually consistent, but do not exhibit coherence.
     From: Robert Audi (Epistemology: contemporary introduction [1998], VII p.192)
     A reaction: This shows how difficult it would be to define 'coherent'. Is 'carrots are nourishing' coherent with 'fish are nourishing'? Is the battle of Hastings coherent with the battle of Waterloo?
It is very hard to show how much coherence is needed for justification [Audi,R]
     Full Idea: It is very difficult to specify when an explanatory relation generates enough coherence to create justification.
     From: Robert Audi (Epistemology: contemporary introduction [1998], VII p.193)
     A reaction: I take coherence to be the key concept in epistemology, and quite impossible to define. This is why the 'space of reasons' is a useful concept. It is a courtroom, in which each case is different.
A consistent madman could have a very coherent belief system [Audi,R]
     Full Idea: A schizophrenic who thinks he is Napoleon, if he has a completely consistent story with enough interlocking details, may have a belief system that is superbly coherent.
     From: Robert Audi (Epistemology: contemporary introduction [1998], VII p.194)
     A reaction: This is an exaggeration, but the fact is that one isolated lie is totally coherent, so coherence can only emerge when a system is large. Sense experience must be central to coherence.
13. Knowledge Criteria / C. External Justification / 1. External Justification
Subjects may be unaware of their epistemic 'entitlements', unlike their 'justifications' [Burge]
     Full Idea: I call 'entitlement' (as opposed to justification) the epistemic rights or warrants that need not be understood by or even be accessible to the subject.
     From: Tyler Burge (Content Preservation [1993]), quoted by Paul Boghossian - Analyticity Reconsidered §III
     A reaction: I espouse a coherentism that has both internal and external components, and is mediated socially. In Burge's sense, animals will sometimes have 'entitlement'. I prefer, though, not to call this 'knowledge'. 'Entitled true belief' is good.
Consistent accurate prediction looks like knowledge without justified belief [Audi,R]
     Full Idea: If someone consistently prophesied the winners of horse races, it appears that this man knows who will win the races, but surely he does not have justified beliefs as to who will win?
     From: Robert Audi (Epistemology: contemporary introduction [1998], VIII p.229)
     A reaction: This is where internalists and externalists (notably reliabilists) sharply part company. IF a reliable clairvoyant appeared, we would eventually accept them as a knower. But they DON'T appear, because knowledge needs justification!
13. Knowledge Criteria / C. External Justification / 3. Reliabilism / a. Reliable knowledge
A reliability theory of knowledge seems to involve truth as correspondence [Audi,R]
     Full Idea: If one favours a reliability theory of knowledge (which is externalist) the correspondence theory of truth seems the most appropriate.
     From: Robert Audi (Epistemology: contemporary introduction [1998], VIII p.243)
     A reaction: Sounds right. Coherence implies some sort of internal assessment, whereas correspondence just needs to plugged into the facts. I like coherence justification and correspondence truth.
13. Knowledge Criteria / C. External Justification / 3. Reliabilism / b. Anti-reliabilism
'Reliable' is a very imprecise term, and may even mean 'justified' [Audi,R]
     Full Idea: Reliabilism cannot specify how reliable a process must be before it grounds knowledge, and it cannot specify what is reliable in the first place. 'Reliable' may become circular, and may mean 'justified'.
     From: Robert Audi (Epistemology: contemporary introduction [1998], VIII p.225)
     A reaction: The first time you ever read an instrument, or talk to a stranger, you have no indication of reliability. Circularity looks like a big problem. Knowledge must precede reliability?
15. Nature of Minds / A. Nature of Mind / 6. Anti-Individualism
Anti-individualism says the environment is involved in the individuation of some mental states [Burge]
     Full Idea: Anti-individualism is the view that not all of an individual's mental states and events can be type-individuated independently of the nature of the entities in the individual's physical or social environment environment.
     From: Tyler Burge (Philosophy of Mind: 1950-2000 [2005], p.453)
     A reaction: While the Twin Earth experiment emphasises the physical environment, Burge has been responsible for emphasising the social environment. The suspicion is that the whole concept of 'individual' minds will collapse on this view.
Broad concepts suggest an extension of the mind into the environment (less computer-like) [Burge]
     Full Idea: Certain thought experiments made trouble for standard functionalism, which limits input/output to the surface of an individual; proposals to extend this into the environment reduces the reliance on a computer paradigm, but increases complexity.
     From: Tyler Burge (Philosophy of Mind: 1950-2000 [2005], p.454)
     A reaction: [He has the Twin Earth experiment in mind] The jury is out on this, but it looks a bit of a slippery slope. Accounts of action and responsibility need a fairly sharp concept of an individual. Externalism begins to look like just a new scepticism.
16. Persons / C. Self-Awareness / 2. Knowing the Self
Anti-individualism may be incompatible with some sorts of self-knowledge [Burge]
     Full Idea: The idea of anti-individualism raised problems about self-knowledge. The question is whether anti-individualism is compatible with some sort of authoritative or privileged warrant for certain types of self-knowledge.
     From: Tyler Burge (Philosophy of Mind: 1950-2000 [2005], p.457)
     A reaction: [See under 'Nature of Minds' for 'Anti-individualism'] The thought is that if your mind is not entirely in your head, you can no longer be an expert on it. It might go the other way: obviously we can be self-experts, so anti-individualism is wrong.
16. Persons / C. Self-Awareness / 4. Errors in Introspection
We can be ignorant about ourselves, for example, our desires and motives [Audi,R]
     Full Idea: We can have false beliefs, or some degree of ignorance, about our own mental lives. For example, about our own dispositions, such as not believing that we have a certain ignoble desire.
     From: Robert Audi (Epistemology: contemporary introduction [1998], III p.83)
     A reaction: This idea, that we don't know ourselves, has become a commonplace of recent philosophy, but I am unconvinced. Mostly we know only too well that we harbour a base desire, and we feel a creeping sense of shame. Total ignorance is very rare.
17. Mind and Body / C. Functionalism / 1. Functionalism
Some qualities of experience, like blurred vision, have no function at all [Burge]
     Full Idea: There appear to be qualitative aspects of experience that have no function in the life of the organism. They constitute dysfunction or noise. Blurriness in a visual experience is an example.
     From: Tyler Burge (Philosophy of Mind: 1950-2000 [2005], p.460)
     A reaction: The best account of blurred vision would seem to be adverbial - I see 'in a blurred way' (nay, blurredly). Hence maybe blurred vision is functional, but it just isn't functioning very well.
18. Thought / C. Content / 1. Content
Are meaning and expressed concept the same thing? [Burge, by Segal]
     Full Idea: It is Burge's view that what a word means should be distinguished from the concept it expresses.
     From: report of Tyler Burge (Frege on Extensions from Concepts [1984]) by Gabriel M.A. Segal - A Slim Book about Narrow Content 3.2
     A reaction: Presumably the immediate meaning (e.g. of 'arthritis') is socially determined, while the concept is fixed by history? Or what?
20. Action / C. Motives for Action / 3. Acting on Reason / c. Reasons as causes
Actions are not mere effects of reasons, but are under their control [Audi,R]
     Full Idea: An action for a reason is one that is, in a special way, under the control of reason. It is a response to, not a mere effect of, a reason.
     From: Robert Audi (Action, Intention and Reason [1992], p.177), quoted by Rowland Stout - Action 6 'Alien'
     A reaction: This modifies Davidson's 'reasons are causes'. Audi has a deviant causal chain which causes trouble for his idea, but Stout says he is right to focus on causal 'processes' (an Aristotelian idea) rather than causal 'chains'.
26. Natural Theory / D. Laws of Nature / 7. Strictness of Laws
If there are no finks or antidotes at the fundamental level, the laws can't be ceteris paribus [Burge, by Corry]
     Full Idea: Bird argues that there are no finks at the fundamental level, and unlikely to be any antidotes. It then follows that laws at the fundamental level will all be strict - not ceteris paribus - laws.
     From: report of Tyler Burge (Intellectual Norms and Foundations of Mind [1986]) by Richard Corry - Dispositional Essentialism Grounds Laws of Nature? 3
     A reaction: [Bird's main target is Nancy Cartwright 1999] This is a nice line of argument. Isn't part of the ceteris paribus problem that two fundamental laws might interfere with one another?