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All the ideas for 'The Metaontology of Abstraction', 'Rationality and Logic' and 'De Re and De Dicto'

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46 ideas

1. Philosophy / F. Analytic Philosophy / 6. Logical Analysis
Frege's logical approach dominates the analytical tradition [Hanna]
     Full Idea: Pure logic constantly controls Frege's philosophy, and in turn Frege's logically oriented philosophy constantly controls the analytic tradition.
     From: Robert Hanna (Rationality and Logic [2006], 1.1)
     A reaction: Hanna seeks to reintroduce the dreaded psychological aspect of logic, and I say 'good for him'.
1. Philosophy / G. Scientific Philosophy / 3. Scientism
Scientism says most knowledge comes from the exact sciences [Hanna]
     Full Idea: Scientism says that the exact sciences are the leading sources of knowledge about the world.
     From: Robert Hanna (Rationality and Logic [2006], 1.2)
     A reaction: I almost agree, but I would describe the exact sciences as the chief 'evidence' for our knowledge, with the chief 'source' being our own ability to make coherent sense of the evidence. Exact sciences rest on mathematics.
2. Reason / F. Fallacies / 1. Fallacy
It is a fallacy to explain the obscure with the even more obscure [Hale/Wright]
     Full Idea: The fallacy of 'ad obscurum per obscurius' is to explain the obscure by appeal to what is more obscure.
     From: B Hale / C Wright (The Metaontology of Abstraction [2009], §3)
     A reaction: Not strictly a fallacy, so much as an example of inadequate explanation, along with circularity and infinite regresses.
'Denying the antecedent' fallacy: φ→ψ, ¬φ, so ¬ψ [Hanna]
     Full Idea: The fallacy of 'denying the antecedent' is of the form φ→ψ, ¬φ, so ¬ψ.
     From: Robert Hanna (Rationality and Logic [2006], 5.4)
'Affirming the consequent' fallacy: φ→ψ, ψ, so φ [Hanna]
     Full Idea: The fallacy of 'affirming the consequent' is of the form φ→ψ, ψ, so φ.
     From: Robert Hanna (Rationality and Logic [2006], 5.4)
We can list at least fourteen informal fallacies [Hanna]
     Full Idea: Informal fallacies: appeals to force, circumstantial factors, ignorance, pity, popular consensus, authority, generalisation, confused causes, begging the question, complex questions, irrelevance, equivocation, black-and-white, slippery slope etc.
     From: Robert Hanna (Rationality and Logic [2006], 7.3)
2. Reason / F. Fallacies / 4. Circularity
Circular arguments are formally valid, though informally inadmissible [Hanna]
     Full Idea: A circular argument - one whose conclusion is to be found among its premises - is inadmissible in most informal contexts, even though it is formally valid.
     From: Robert Hanna (Rationality and Logic [2006], 2.1)
     A reaction: Presumably this is a matter of conversational implicature - that you are under a conventional obligation to say things which go somewhere, rather than circling around their starting place.
2. Reason / F. Fallacies / 5. Fallacy of Composition
Formally, composition and division fallacies occur in mereology [Hanna]
     Full Idea: Informal fallacies of composition and division go over into formal fallacies of mereological logic.
     From: Robert Hanna (Rationality and Logic [2006], 7.3)
5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
Logic is explanatorily and ontologically dependent on rational animals [Hanna]
     Full Idea: Logic is explanatorily and ontologically dependent on rational animals.
     From: Robert Hanna (Rationality and Logic [2006], 1.6)
     A reaction: This is a splendid defiance of the standard Fregean view of logic as having an inner validity of its own, having nothing to do with the psychology of thinkers. But if Hanna is right, why does logical consequence seem to be necessary?
Logic is personal and variable, but it has a universal core [Hanna]
     Full Idea: Beyond an innate and thus universally share protologic, each reasoner's mental logic is only more or less similar to the mental logic of any other reasoner.
     From: Robert Hanna (Rationality and Logic [2006], 5.7)
     A reaction: This is the main thesis of Hanna's book. I like the combination of this idea with Stephen Read's remark that each student should work out a personal logic which has their own private endorsement.
5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence
Intensional consequence is based on the content of the concepts [Hanna]
     Full Idea: In intensional logic the consequence relation is based on the form or content of the concepts or properties expressed by the predicates.
     From: Robert Hanna (Rationality and Logic [2006], 2.2)
5. Theory of Logic / F. Referring in Logic / 1. Naming / a. Names
Maybe proper names involve essentialism [Plantinga]
     Full Idea: Perhaps the notion of a proper name itself involves essentialism.
     From: Alvin Plantinga (De Re and De Dicto [1969], p.43)
     A reaction: This is just before Kripke's announcement of 'rigid designation', which seems to have relaunched modern essentialism. The thought is that you can't name something, if you don't have a stable notion of what is (and isn't) being named.
5. Theory of Logic / F. Referring in Logic / 1. Naming / d. Singular terms
Singular terms refer if they make certain atomic statements true [Hale/Wright]
     Full Idea: Anyone should agree that a justification for regarding a singular term as having objectual reference is provided just as soon as one has justification for regarding as true certain atomic statements in which it functions as a singular term.
     From: B Hale / C Wright (The Metaontology of Abstraction [2009], §9)
     A reaction: The meat of this idea is hidden in the word 'certain'. See Idea 10314 for Hale's explanation. Without that, the proposal strikes me as absurd.
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
Could I name all of the real numbers in one fell swoop? Call them all 'Charley'? [Plantinga]
     Full Idea: Can't I name all the real numbers in the interval (0,1) at once? Couldn't I name them all 'Charley', for example?
     From: Alvin Plantinga (De Re and De Dicto [1969], p.40)
     A reaction: Plantinga is nervous about such a sweeping move, but can't think of an objection. This addresses a big problem, I think - that you are supposed to accept the real numbers when we cannot possibly name them all.
6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism
Neo-Fregeanism might be better with truth-makers, rather than quantifier commitment [Hale/Wright]
     Full Idea: A third way has been offered to 'make sense' of neo-Fregeanism: we should reject Quine's well-known criterion of ontological commitment in favour of one based on 'truth-maker theory'.
     From: B Hale / C Wright (The Metaontology of Abstraction [2009], §4 n19)
     A reaction: [The cite Ross Cameron for this] They reject this proposal, on the grounds that truth-maker theory is not sufficient to fix the grounding truth-conditions of statements.
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Are neo-Fregeans 'maximalists' - that everything which can exist does exist? [Hale/Wright]
     Full Idea: It is claimed that neo-Fregeans are committed to 'maximalism' - that whatever can exist does.
     From: B Hale / C Wright (The Metaontology of Abstraction [2009], §4)
     A reaction: [The cite Eklund] They observe that maximalism denies contingent non-existence (of the £20 note I haven't got). There seems to be the related problem of 'hyperinflation', that if abstract objects are generated logically, the process is unstoppable.
Logicism struggles because there is no decent theory of analyticity [Hanna]
     Full Idea: All versions of the thesis that arithmetic is reducible to logic remain questionable as long as no good theory of analyticity is available.
     From: Robert Hanna (Rationality and Logic [2006], 2.4)
     A reaction: He rejects the attempts by Frege, Wittgenstein and Carnap to provide a theory of analyticity.
7. Existence / C. Structure of Existence / 5. Supervenience / b. Types of supervenience
Supervenience can add covariation, upward dependence, and nomological connection [Hanna]
     Full Idea: 'Strong supervenience' involves necessary covariation of the properties, and upward dependence of higher level on lower level. ...If we add a nomological connection between the two, then we have 'superdupervenience'.
     From: Robert Hanna (Rationality and Logic [2006], 1.2)
     A reaction: [compressed] Very helpful. A superdupervenient relationship between mind and brain would be rather baffling if they were not essentially the same thing. (which is what I take them to be).
7. Existence / D. Theories of Reality / 11. Ontological Commitment / a. Ontological commitment
The identity of Pegasus with Pegasus may be true, despite the non-existence [Hale/Wright]
     Full Idea: Identity is sometimes read so that 'Pegasus is Pegasus' expresses a truth, the non-existence of any winged horse notwithstanding.
     From: B Hale / C Wright (The Metaontology of Abstraction [2009], §5)
     A reaction: This would give you ontological commitment to truth, without commitment to existence. It undercuts the use of identity statements as the basis of existence claims, which was Frege's strategy.
8. Modes of Existence / B. Properties / 3. Types of Properties
Maybe we have abundant properties for semantics, and sparse properties for ontology [Hale/Wright]
     Full Idea: There is a compatibilist view which says that it is for the abundant properties to play the role of 'bedeutungen' in semantic theory, and the sparse ones to address certain metaphysical concerns.
     From: B Hale / C Wright (The Metaontology of Abstraction [2009], §9)
     A reaction: Only a philosopher could live with the word 'property' having utterly different extensions in different areas of discourse. They similarly bifurcate words like 'object' and 'exist'. Call properties 'quasi-properties' and I might join in.
8. Modes of Existence / B. Properties / 10. Properties as Predicates
A successful predicate guarantees the existence of a property - the way of being it expresses [Hale/Wright]
     Full Idea: The good standing of a predicate is already trivially sufficient to ensure the existence of an associated property, a (perhaps complex) way of being which the predicate serves to express.
     From: B Hale / C Wright (The Metaontology of Abstraction [2009], §9)
     A reaction: 'Way of being' is interesting. Is 'being near Trafalgar Sq' a way of being? I take properties to be 'features', which seems to give a clearer way of demarcating them. They say they are talking about 'abundant' (rather than 'sparse') properties.
9. Objects / A. Existence of Objects / 5. Individuation / d. Individuation by haecceity
Surely self-identity is essential to Socrates? [Plantinga]
     Full Idea: If anything is essential to Socrates, surely self-identity is.
     From: Alvin Plantinga (De Re and De Dicto [1969], p.37)
     A reaction: This is the modern move of Plantinga and Adams, to make 'is identical with Socrates' the one property which assures the identity of Socrates (his 'haecceity'). My view is that self-identity is not a property. Plantinga wonders about that on p.44.
9. Objects / D. Essence of Objects / 9. Essence and Properties
An object has a property essentially if it couldn't conceivably have lacked it [Plantinga]
     Full Idea: An object has a property essentially just in case it couldn't conceivably have lacked that property.
     From: Alvin Plantinga (De Re and De Dicto [1969], p.35)
     A reaction: Making it depend on what we can conceive seems a bit dubious, for someone committed to real essences. The key issue is how narrowly or broadly you interpret the word 'property'. The word 'object' needs a bit of thought, too!
10. Modality / A. Necessity / 2. Nature of Necessity
A sentence is necessary if it is true in a set of worlds, and nonfalse in the other worlds [Hanna]
     Full Idea: On my view, necessity is the truth of a sentence in every member of a set of possible worlds, together with its nonfalsity in every other possible worlds.
     From: Robert Hanna (Rationality and Logic [2006], 6.6)
10. Modality / A. Necessity / 4. De re / De dicto modality
Can we find an appropriate 'de dicto' paraphrase for any 'de re' proposition? [Plantinga]
     Full Idea: To explain the 'de re' via the 'de dicto' is to provide a rule enabling us to find, for each de re proposition, an equivalent de dicto proposition.
     From: Alvin Plantinga (De Re and De Dicto [1969], p.41)
     A reaction: Many 'de dicto' paraphrases will change the modality of a 'de re' statement, so the challenge is to find the right equivalent version. Plantinga takes up this challenge. The 'de dicto' statement says the object has the property, and must have it.
Expressing modality about a statement is 'de dicto'; expressing it of property-possession is 'de re' [Plantinga]
     Full Idea: Some statements predicate modality of another statement (modality 'de dicto'); but others predicate of an object the necessary or essential possession of a property; these latter express modality 'de re'.
     From: Alvin Plantinga (De Re and De Dicto [1969], p.26)
     A reaction: The distinction seems to originate in Aquinas, concerning whether God knows the future (or, how he knows the future). 'De dicto' is straightforward, but possibly the result of convention. 'De re' is controversial, and implies deep metaphysics.
'De dicto' true and 'de re' false is possible, and so is 'de dicto' false and 'de re' true [Plantinga]
     Full Idea: Aquinas says if a 'de dicto' statement is true, the 'de re' version may be false. The opposite also applies: 'What I am thinking of [17] is essentially prime' is true, but 'The proposition "what I am thinking of is prime" is necessarily true' is false.
     From: Alvin Plantinga (De Re and De Dicto [1969], p.27)
     A reaction: In his examples the first is 'de re' (about the number), and the second is 'de dicto' (about that proposition).
10. Modality / A. Necessity / 5. Metaphysical Necessity
Metaphysical necessity can be 'weak' (same as logical) and 'strong' (based on essences) [Hanna]
     Full Idea: Weak metaphysical necessity is either over the set of all logically possible worlds (in which case it is the same as logical necessity), or it is of a smaller set of worlds, and is determined by the underlying essence or nature of the actual world.
     From: Robert Hanna (Rationality and Logic [2006], 6.6)
     A reaction: I take the first to be of no interest, as I have no interest in a world which is somehow rated as logically possible, but is not naturally possible. The second type should the principle aim of all human cognitive enquiry. The strong version is synthetic.
10. Modality / A. Necessity / 6. Logical Necessity
Logical necessity is truth in all logically possible worlds, because of laws and concepts [Hanna]
     Full Idea: Logical necessity is the truth of a sentence by virtue of logical laws or intrinsic conceptual connections alone, and thus true in all logically possible worlds. Put in traditional terms, logical necessity is analyticity.
     From: Robert Hanna (Rationality and Logic [2006], 6.6)
10. Modality / A. Necessity / 7. Natural Necessity
Nomological necessity is truth in all logically possible worlds with our laws [Hanna]
     Full Idea: Physical or nomological necessity is the truth of a sentence in all logically possible worlds governed by our actual laws of nature.
     From: Robert Hanna (Rationality and Logic [2006], 6.6)
     A reaction: Personally I think 'natural necessity' is the best label for this, as it avoids firm commitment to reductive physicalism, and it also avoids commitment to actual necessitating laws.
10. Modality / E. Possible worlds / 3. Transworld Objects / a. Transworld identity
What Socrates could have been, and could have become, are different? [Plantinga]
     Full Idea: Is there a difference between what Socrates could have been, and what he could have become?
     From: Alvin Plantinga (De Re and De Dicto [1969], p.44)
     A reaction: That is, I take it, 1) how different might he have been in the past, given how he is now?, and 2) how different might he have been in the past, and now, if he had permanently diverged from how he is now? 1) has tight constraints on it.
12. Knowledge Sources / E. Direct Knowledge / 2. Intuition
Intuition includes apriority, clarity, modality, authority, fallibility and no inferences [Hanna]
     Full Idea: The nine features of intuition are: a mental act, apriority, content-comprehensiveness, clarity and distinctness, strict-modality-attributivity, authoritativeness,noninferentiality, cognitive indispensability, and fallibility.
     From: Robert Hanna (Rationality and Logic [2006], 6.4)
     A reaction: [See Hanna for a full explanation of this lot] Seems like a good stab at it. Note the trade-off between authority and fallibility.
Intuition is more like memory, imagination or understanding, than like perception [Hanna]
     Full Idea: There is no reason why intuition should be cognitively analogous not to sense perception but instead to either memory, imagination, or conceptual understanding.
     From: Robert Hanna (Rationality and Logic [2006], 6.5)
     A reaction: It is Russell's spotting the analogy with memory that made me come to believe that a priori knowledge is possible, as long as we accept it as being fallible. [Hanna has a good discussion of intuition; he votes for the imagination analogy]
Intuition is only outside the 'space of reasons' if all reasons are inferential [Hanna]
     Full Idea: Intuition is outside the 'space of reasons' if we assume that all reasons are inferential, but inside if we assume that reasons need not always be inferential.
     From: Robert Hanna (Rationality and Logic [2006], 6.4)
     A reaction: I take it that intuition can be firmly inside the space of reasons, and that not all reasons are inferential.
14. Science / D. Explanation / 2. Types of Explanation / j. Explanations by reduction
Explanatory reduction is stronger than ontological reduction [Hanna]
     Full Idea: As standardly construed, reduction can be either explanatory or ontological. Explanatory reduction is the strongest sort of reduction. ...Ontological reduction can still have an 'explanatory gap'.
     From: Robert Hanna (Rationality and Logic [2006], 1.1)
15. Nature of Minds / C. Capacities of Minds / 2. Imagination
Imagination grasps abstracta, generates images, and has its own correctness conditions [Hanna]
     Full Idea: Three features of imagination are that its objects can be abstract, that it generates spatial images directly available to introspection, and its correctness conditions are not based on either efficacious causation or effective tracking.
     From: Robert Hanna (Rationality and Logic [2006], 6.6)
     A reaction: Hanna makes the imagination faculty central to our grasp of his proto-logic.
18. Thought / A. Modes of Thought / 1. Thought
Should we take the 'depictivist' or the 'descriptivist/propositionalist' view of mental imagery? [Hanna]
     Full Idea: In the debate in cognitive science on the nature of mental imagery, there is a 'depictivist' side (Johnson-Laird, Kosslyn, Shepard - good images are isomorphic), and a 'descriptivist' or 'propositionalist' side (Pylyshyn and others).
     From: Robert Hanna (Rationality and Logic [2006], 6.6)
     A reaction: Hanna votes firmly in favour of the first view, and implies that they have more or less won the debate.
18. Thought / A. Modes of Thought / 5. Rationality / a. Rationality
Rational animals have a normative concept of necessity [Hanna]
     Full Idea: A rational animal is one that is a normative-reflective possessor of the concepts of necessity, certainty and unconditional obligation.
     From: Robert Hanna (Rationality and Logic [2006], 4.0)
     A reaction: The addition of obligation shows the Kantian roots of this. It isn't enough just to possess a few concepts. You wouldn't count as rational if you didn't desire truth, as well as understanding it. Robots be warned.
One tradition says talking is the essence of rationality; the other says the essence is logic [Hanna]
     Full Idea: In the tradition of Descartes, Chomsky and Davidson, rational animals are essentially talking animals. But in the view of Kant, and perhaps Fodor, it is the cognitive capacity for logic that is the essence of human rationality.
     From: Robert Hanna (Rationality and Logic [2006], 4.9)
Hegelian holistic rationality is the capacity to seek coherence [Hanna]
     Full Idea: The 'holistic' (Hegelian) sense of rationality means the capacity for systematically seeking coherence (or 'reflective equilibrium') across a network or web of beliefs, desires, emotions, intentions and volitions. Traditionally 'the truth is the whole'.
     From: Robert Hanna (Rationality and Logic [2006], Intro)
     A reaction: On the whole this is my preferred view (which sounds Quinean as well as Hegelian), though I reject the notion that truth is a whole. I take coherence to be the hallmark of justification, though not of truth, and reason aims to justify.
Humean Instrumental rationality is the capacity to seek contingent truths [Hanna]
     Full Idea: The 'instrumental' (Humean) sense of rationality means a capacity for generating or recognizing contingent truths, contextually normative rules, consequentialist obligations, and hypothetical 'ought' claims. Reason is 'the slave of the passions'.
     From: Robert Hanna (Rationality and Logic [2006], Intro)
Kantian principled rationality is recognition of a priori universal truths [Hanna]
     Full Idea: The 'principled' (Kantian) sense of rationality means the possession of a capacity for generating or recognizing necessary truths, a priori beliefs, strictly universal normative rules, nonconsequentialist moral obligations, and categorical 'ought' claims.
     From: Robert Hanna (Rationality and Logic [2006], Intro)
18. Thought / B. Mechanics of Thought / 1. Psychology
Most psychologists are now cognitivists [Hanna]
     Full Idea: Most psychologists have now dropped behaviourism and adopted cognitivism: the thesis that the rational human mind is essentially an active innately specified information-processor.
     From: Robert Hanna (Rationality and Logic [2006], Intro)
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
Abstractionism needs existential commitment and uniform truth-conditions [Hale/Wright]
     Full Idea: Abstractionism needs a face-value, existentially committed reading of the terms occurring on the left-hand sides together with sameness of truth-conditions across the biconditional.
     From: B Hale / C Wright (The Metaontology of Abstraction [2009], §5)
     A reaction: They employ 'abstractionism' to mean their logical Fregean strategy for defining abstractions, not to mean the older psychological account. Thus the truth-conditions for being 'parallel' and for having the 'same direction' must be consistent.
Equivalence abstraction refers to objects otherwise beyond our grasp [Hale/Wright]
     Full Idea: Abstraction principles purport to introduce fundamental means of reference to a range of objects, to which there is accordingly no presumption that we have any prior or independent means of reference.
     From: B Hale / C Wright (The Metaontology of Abstraction [2009], §8)
     A reaction: There's the rub! They make it sound like a virtue, that we open up yet another heaven of abstract toys to play with. As fictions, they are indeed exciting new fun. As platonic discoveries they strike me as Cloud-Cuckoo Land.
19. Language / B. Reference / 4. Descriptive Reference / a. Sense and reference
Reference needs truth as well as sense [Hale/Wright]
     Full Idea: It takes, over and above the possession of sense, the truth of relevant contexts to ensure reference.
     From: B Hale / C Wright (The Metaontology of Abstraction [2009], §9)
     A reaction: Reference purely through sense was discredited by Kripke. The present idea challenges Kripke's baptismal realist approach. How do you 'baptise' an abstract object? But isn't reference needed prior to the establishment of truth?