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All the ideas for 'On the Question of Absolute Undecidability', 'Intensions Revisited' and 'Thought'

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41 ideas

2. Reason / A. Nature of Reason / 1. On Reason
Inference is never a conscious process [Harman]
     Full Idea: Inference is never a conscious process.
     From: Gilbert Harman (Thought [1973], 11.2)
2. Reason / A. Nature of Reason / 4. Aims of Reason
Reasoning might be defined in terms of its functional role, which is to produce knowledge [Harman]
     Full Idea: Reasoning could be treated as a functionally defined process that is partly defined in terms of its role in giving a person knowledge.
     From: Gilbert Harman (Thought [1973], 3.6)
2. Reason / A. Nature of Reason / 9. Limits of Reason
If you believe that some of your beliefs are false, then at least one of your beliefs IS false [Harman]
     Full Idea: If a rational man believes he has at least some other false beliefs, it follows that a rational man knows that at least one of his beliefs is false (the one believed false, or this new belief).
     From: Gilbert Harman (Thought [1973], 7.2)
4. Formal Logic / D. Modal Logic ML / 1. Modal Logic
Quantified modal logic collapses if essence is withdrawn [Quine]
     Full Idea: The whole of quantified modal logic collapses if essence is withdrawn.
     From: Willard Quine (Intensions Revisited [1977], p.121)
     A reaction: Quine offers an interesting qualification to this crushing remark in Idea 13590. The point is that objects must retain their identity in modal contexts, as if I say 'John Kennedy might have been Richard Nixon'. What could that mean?
4. Formal Logic / F. Set Theory ST / 1. Set Theory
Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner]
     Full Idea: There are many coherent stopping points in the hierarchy of increasingly strong mathematical systems, starting with strict finitism, and moving up through predicativism to the higher reaches of set theory.
     From: Peter Koellner (On the Question of Absolute Undecidability [2006], Intro)
'Reflection principles' say the whole truth about sets can't be captured [Koellner]
     Full Idea: Roughly speaking, 'reflection principles' assert that anything true in V [the set hierarchy] falls short of characterising V in that it is true within some earlier level.
     From: Peter Koellner (On the Question of Absolute Undecidability [2006], 2.1)
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
Any two states are logically linked, by being entailed by their conjunction [Harman]
     Full Idea: Any two states of affairs are logically connected, simply because both are entailed by their conjunction.
     From: Gilbert Harman (Thought [1973], 8.1)
5. Theory of Logic / A. Overview of Logic / 6. Classical Logic
Deductive logic is the only logic there is [Harman]
     Full Idea: Deductive logic is the only logic there is.
     From: Gilbert Harman (Thought [1973], 10.4)
5. Theory of Logic / B. Logical Consequence / 5. Modus Ponens
You don't have to accept the conclusion of a valid argument [Harman]
     Full Idea: We may say "From P and If-P-then-Q, infer Q" (modus ponens), but there is no rule of acceptance to say that we should accept Q. Maybe we should stop believing P or If-P-then-Q rather than believe Q.
     From: Gilbert Harman (Thought [1973], 10.1)
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
Our underlying predicates represent words in the language, not universal concepts [Harman]
     Full Idea: The underlying truth-conditional structures of thoughts are language-dependent in the sense that underlying predicates represent words in the language rather than universal concepts common to all languages.
     From: Gilbert Harman (Thought [1973], 6.3)
Logical form is the part of a sentence structure which involves logical elements [Harman]
     Full Idea: The logical form of a sentence is that part of its structure that involves logical elements.
     From: Gilbert Harman (Thought [1973], 5.2)
A theory of truth in a language must involve a theory of logical form [Harman]
     Full Idea: Some sort of theory of logical form is involved in any theory of truth for a natural language.
     From: Gilbert Harman (Thought [1973], 5.2)
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
We have no argument to show a statement is absolutely undecidable [Koellner]
     Full Idea: There is at present no solid argument to the effect that a given statement is absolutely undecidable.
     From: Peter Koellner (On the Question of Absolute Undecidability [2006], 5.3)
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
There are at least eleven types of large cardinal, of increasing logical strength [Koellner]
     Full Idea: Some of the standard large cardinals (in order of increasing (logical) strength) are: inaccessible, Mahlo, weakly compact, indescribable, Erdös, measurable, strong, Wodin, supercompact, huge etc. (...and ineffable).
     From: Peter Koellner (On the Question of Absolute Undecidability [2006], 1.4)
     A reaction: [I don't understand how cardinals can have 'logical strength', but I pass it on anyway]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
PA is consistent as far as we can accept, and we expand axioms to overcome limitations [Koellner]
     Full Idea: To the extent that we are justified in accepting Peano Arithmetic we are justified in accepting its consistency, and so we know how to expand the axiom system so as to overcome the limitation [of Gödel's Second Theorem].
     From: Peter Koellner (On the Question of Absolute Undecidability [2006], 1.1)
     A reaction: Each expansion brings a limitation, but then you can expand again.
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
Arithmetical undecidability is always settled at the next stage up [Koellner]
     Full Idea: The arithmetical instances of undecidability that arise at one stage of the hierarchy are settled at the next.
     From: Peter Koellner (On the Question of Absolute Undecidability [2006], 1.4)
9. Objects / D. Essence of Objects / 15. Against Essentialism
Essences can make sense in a particular context or enquiry, as the most basic predicates [Quine]
     Full Idea: The notion of essence makes sense in context. Relative to a particular enquiry, some predicates may play a more basic role than others, or may apply more fixedly; and these may be treated as essential.
     From: Willard Quine (Intensions Revisited [1977], p.121)
     A reaction: Quine has got a bad press on essentialism, and on modal logic, but I take this point seriously. If you give something a fixed identity by means of essence in some context, you can then go ahead and apply possible world reasoning in that context.
10. Modality / A. Necessity / 11. Denial of Necessity
Necessity is relative to context; it is what is assumed in an inquiry [Quine]
     Full Idea: The very notion of necessity makes sense to me only relative to context. Typically it is applied to what is assumed in an inquiry, as against what has yet to transpire.
     From: Willard Quine (Intensions Revisited [1977], p.121)
     A reaction: Lots of things are assumed by an inquiry without an assumption that they must be true. Quine is the greatest opponent of necessity in all of philosophy. Asserting necessities, though, is too much fun to give up. It would ruin philosophy.
10. Modality / E. Possible worlds / 1. Possible Worlds / e. Against possible worlds
Possible worlds are a way to dramatise essentialism, and yet they presuppose essentialism [Quine]
     Full Idea: Talk of possible worlds is a graphic way of waging the essentialist philosophy, but it is only that; it is not an explication. Essence is needed to identify an object from one possible world to another.
     From: Willard Quine (Intensions Revisited [1977], p.118)
     A reaction: He makes the proposal sound circular, but I take a commitment to essences to be prior to talk of possible worlds. Possible worlds are a tool for clarifying modalities, not for clarifying essential identities.
10. Modality / E. Possible worlds / 3. Transworld Objects / b. Rigid designation
A rigid designator (for all possible worlds) picks out an object by its essential traits [Quine]
     Full Idea: A rigid designator differs from others in that it picks out its object by essential traits. It designates the object in all possible worlds in which it exists.
     From: Willard Quine (Intensions Revisited [1977], p.118)
     A reaction: This states the point more clearly than Kripke ever does, and I presume it is right. Thus when we say that we wish 'our' Hubert Humphrey had won the election, we can allow that his victory elation would change him a bit. Kripke is right.
11. Knowledge Aims / A. Knowledge / 4. Belief / a. Beliefs
Beliefs can be ascribed to machines [Quine]
     Full Idea: Beliefs have been ascribed to machines, in support of a mechanistic philosophy, and I share this attitude.
     From: Willard Quine (Intensions Revisited [1977], p.123)
     A reaction: [He cites Raymond Nelson] One suspects that this is Quine's latent behaviourism speaking. It strikes me as a crass misuse of 'belief' to ascribe it to a simple machine like a thermostat.
11. Knowledge Aims / A. Knowledge / 4. Belief / e. Belief holism
You have to reaffirm all your beliefs when you make a logical inference [Harman]
     Full Idea: Since inference is inference to the best total account, all your prior beliefs are relevant and your conclusion is everything you believe at the end. So, you constantly reaffirm your beliefs in inference.
     From: Gilbert Harman (Thought [1973], 12.1)
12. Knowledge Sources / A. A Priori Knowledge / 8. A Priori as Analytic
Only lack of imagination makes us think that 'cats are animals' is analytic [Harman]
     Full Idea: That 'cats are animals' is often cited as an analytic truth. But (as Putnam points out) the inability to imagine this false is just a lack of imagination. They might turn out to be radio-controlled plastic spies from Mars.
     From: Gilbert Harman (Thought [1973], 6.7)
Analyticity is postulated because we can't imagine some things being true, but we may just lack imagination [Harman]
     Full Idea: Analyticity is postulated to explain why we cannot imagine certain things being true. A better postulate is that we are not good at imagining things.
     From: Gilbert Harman (Thought [1973], 6.7)
12. Knowledge Sources / E. Direct Knowledge / 4. Memory
Memories are not just preserved, they are constantly reinferred [Harman]
     Full Idea: I favour the inferential view of memory over the preservation view. …One constantly reinfers old beliefs.
     From: Gilbert Harman (Thought [1973], 12.1)
     A reaction: This has a grain of truth, but seems a distortion. An image of the old home floats into my mind when I am thinking about something utterly unconnected. When we search memory we may be inferring and explaining, but the same applies to searching images.
13. Knowledge Criteria / A. Justification Problems / 3. Internal or External / b. Pro-externalism
People's reasons for belief are rarely conscious [Harman]
     Full Idea: The reasons for which people believe things are rarely conscious.
     From: Gilbert Harman (Thought [1973], 2.2)
     A reaction: Probably correct. The interesting bit is when they bring the beliefs into consciousness and scrutinise them rationally. Philosophers routinely overthrow their natural beliefs in this way.
13. Knowledge Criteria / B. Internal Justification / 3. Evidentialism / a. Evidence
We don't distinguish between accepting, and accepting as evidence [Harman]
     Full Idea: There is no distinction between what we accept as evidence and whatever else we accept.
     From: Gilbert Harman (Thought [1973], 10.4)
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / a. Coherence as justification
In negative coherence theories, beliefs are prima facie justified, and don't need initial reasons [Harman, by Pollock/Cruz]
     Full Idea: According to Harman's negative coherence theory it is always permissible to adopt a new belief - any new belief; because beliefs are prima facie justified you do not need a reason for adopting a new belief.
     From: report of Gilbert Harman (Thought [1973]) by J Pollock / J Cruz - Contemporary theories of Knowledge (2nd) §3.4.1
     A reaction: This must be placed alongside the fact that we don't usually choose our beliefs, but simply find ourselves believing because of the causal impact of evidence. This gives an unstated rational justification for any belief - something caused it.
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / b. Pro-coherentism
Coherence avoids scepticism, because it doesn't rely on unprovable foundations [Harman]
     Full Idea: Scepticism is undermined once it is seen that the relevant kind of justification is not a matter of derivation from basic principles but is rather a matter of showing that a view fits in well with other things we believe.
     From: Gilbert Harman (Thought [1973], 10.4)
     A reaction: I would (now) call myself a 'coherentist' about justification, and I agree with this. Coherent justification could not possibly deliver certainty, so it must be combined with fallibilism.
14. Science / C. Induction / 2. Aims of Induction
Induction is an attempt to increase the coherence of our explanations [Harman]
     Full Idea: Induction is an attempt to increase the explanatory coherence of our view, making it more complete, less ad hoc, more plausible.
     From: Gilbert Harman (Thought [1973], 10.2)
16. Persons / C. Self-Awareness / 2. Knowing the Self
We see ourselves in the world as a map [Harman]
     Full Idea: Our conception of ourselves in the world is more like a map than a story.
     From: Gilbert Harman (Thought [1973], Pref)
     A reaction: Dennett offer the 'story' view of the self (Ideas 7381 and 7382). How do we arbitrate this one? A story IS a sort of map. Maps can extend over time as well over space. I think the self is real, and is a location on a map, and the hero of a story.
17. Mind and Body / B. Behaviourism / 2. Potential Behaviour
Defining dispositions is circular [Harman]
     Full Idea: There is no noncircular way to specify dispositions; for they are dispositions to behave given certain situations, and the situations must be include beliefs about the situation, and desires concerning it.
     From: Gilbert Harman (Thought [1973], 3.3)
     A reaction: This is nowadays accepted dogmatically as the biggest objection to behaviourism, but it could be challenged. Your analysis may begin by mentioning beliefs and desires, but if you keep going they may eventually fade out of the picture.
17. Mind and Body / E. Mind as Physical / 4. Connectionism
Could a cloud have a headache if its particles formed into the right pattern? [Harman]
     Full Idea: If the right pattern of electrical discharges occurred in a cloud instead of in a brain, would that also be a headache?
     From: Gilbert Harman (Thought [1973], 3.2)
     A reaction: The standard objection to functionalism is to propose absurd implementations of a mind, but probably only a brain could produce the right electro-chemical combination.
18. Thought / B. Mechanics of Thought / 4. Language of Thought
Are there any meanings apart from in a language? [Harman]
     Full Idea: The theory of language-independent meanings or semantic representations is mistaken.
     From: Gilbert Harman (Thought [1973], 6.5)
     A reaction: This would make him (in Dummett's terms) a 'philosopher of language' rather than a 'philosopher of thought'. Personally I disagree. Don't animals have 'meanings'? Can two sentences share a meaning?
19. Language / A. Nature of Meaning / 1. Meaning
Speech acts, communication, representation and truth form a single theory [Harman]
     Full Idea: The various theories are not in competition. The theory of truth is part of the theory of representational character, which is presupposed by the theory of communication, which in turn is contained in the more general theory of speech acts.
     From: Gilbert Harman (Thought [1973], 4.3)
     A reaction: Certainly it seems that the supposed major contenders for a theory of meaning are just as much complements as they are competitors.
19. Language / A. Nature of Meaning / 8. Synonymy
There is only similarity in meaning, never sameness in meaning [Harman]
     Full Idea: The only sort of sameness of meaning we know is similarity in meaning, not exact sameness of meaning.
     From: Gilbert Harman (Thought [1973], 6.8)
     A reaction: The Eiffel Tower and le tour Eiffel? If you want to be difficult, you can doubt whether the word 'fast' ever has exactly the same meaning in two separate usages of the word.
19. Language / A. Nature of Meaning / 9. Ambiguity
Ambiguity is when different underlying truth-conditional structures have the same surface form [Harman]
     Full Idea: Ambiguity results from the possibility of transforming different underlying truth-conditional structures into the same surface form.
     From: Gilbert Harman (Thought [1973], 5.3)
     A reaction: Personally I would call a 'truth-conditional structure' a 'proposition', and leave it to the philosophers to decide what a proposition is.
19. Language / C. Assigning Meanings / 6. Truth-Conditions Semantics
Truth in a language is explained by how the structural elements of a sentence contribute to its truth conditions [Harman]
     Full Idea: A theory of truth for a language shows how the truth conditions of any sentence depend on the structure of that sentence. The theory will say, for each element of structure, what its contribution is.
     From: Gilbert Harman (Thought [1973], 5.1)
     A reaction: This just seems to push the problem of truth back a stage, as you need to know where the truth is to be found in the elements from which the structure is built.
19. Language / D. Propositions / 1. Propositions
Sentences are different from propositions, since two sentences can express one proposition [Harman]
     Full Idea: 'Bob and John play golf' and 'John and Bob play golf' are equivalent; but if they were to be derived from the same underlying structure, one or the other of Bob and John would have to come first; and either possibility is arbitrary.
     From: Gilbert Harman (Thought [1973], 6.4)
     A reaction: If I watch Bob and John play golf, neither of them 'comes first'. A proposition about them need not involve 'coming first'. Only if you insist on formulating a sentence must you decide on that.
19. Language / E. Analyticity / 3. Analytic and Synthetic
The analytic/synthetic distinction is a silly division of thought into encyclopaedia and dictionary [Harman]
     Full Idea: No purpose is served by thinking that certain principles available to a person are contained in his internal encyclopaedia - and therefore only synthetic - whereas other principles are part of his internal dictionary - and are therefore analytic.
     From: Gilbert Harman (Thought [1973], 6.5)
     A reaction: If it led to two different ways to acquire knowledge, then quite a lot of purpose would be served. He speaks like a pragmatist. The question is whether some statements just are true because of some feature of meaning. Why not?
19. Language / F. Communication / 6. Interpreting Language / b. Indeterminate translation
Many predicates totally resist translation, so a universal underlying structure to languages is unlikely [Harman]
     Full Idea: There are many predicates of a given language that resist translation into another language, …so it is unlikely that there is a basic set of underlying structures common to all languages.
     From: Gilbert Harman (Thought [1973], 5.4)
     A reaction: Not convincing. 'Structures' are not the same as 'predicates'. Once a language has mapped its predicates, that blocks the intrusions of differently sliced alien predicates. No gaps.