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All the ideas for '', 'works' and 'On Plural Reference and Set Theory'

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16 ideas

5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
If a sound conclusion comes from two errors that cancel out, the path of the argument must matter [Rumfitt]
     Full Idea: If a designated conclusion follows from the premisses, but the argument involves two howlers which cancel each other out, then the moral is that the path an argument takes from premisses to conclusion does matter to its logical evaluation.
     From: Ian Rumfitt ("Yes" and "No" [2000], II)
     A reaction: The drift of this is that our view of logic should be a little closer to the reasoning of ordinary language, and we should rely a little less on purely formal accounts.
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
Standardly 'and' and 'but' are held to have the same sense by having the same truth table [Rumfitt]
     Full Idea: If 'and' and 'but' really are alike in sense, in what might that likeness consist? Some philosophers of classical logic will reply that they share a sense by virtue of sharing a truth table.
     From: Ian Rumfitt ("Yes" and "No" [2000])
     A reaction: This is the standard view which Rumfitt sets out to challenge.
The sense of a connective comes from primitively obvious rules of inference [Rumfitt]
     Full Idea: A connective will possess the sense that it has by virtue of its competent users' finding certain rules of inference involving it to be primitively obvious.
     From: Ian Rumfitt ("Yes" and "No" [2000], III)
     A reaction: Rumfitt cites Peacocke as endorsing this view, which characterises the logical connectives by their rules of usage rather than by their pure semantic value.
5. Theory of Logic / F. Referring in Logic / 1. Naming / d. Singular terms
A 'singulariser' converts a plural like 'number of' to a syntactically neutral form [Cartwright,H, by Hossack]
     Full Idea: Helen Cartwright calls 'a number of' a 'singulariser', an expression whose linguistic function is to convert to a syntactically neutral form an expression whose semantic value remains plural. It is a great convenience grammatically.
     From: report of Helen Cartwright (On Plural Reference and Set Theory [1993]) by Keith Hossack - Plurals and Complexes 2
     A reaction: Compare Hofweber's Idea 10004, suggesting it is a crucial psychological convenience for reasoning, as well as a 'grammatical' convenience.
7. Existence / A. Nature of Existence / 3. Being / a. Nature of Being
The concept of being has only one meaning, whether talking of universals or of God [Duns Scotus, by Dumont]
     Full Idea: Duns Scotus was the first scholastic to hold that the concept of being and other transcendentals were univocal, not only in application to substance and accidents, but even to God and creatures.
     From: report of John Duns Scotus (works [1301]) by Stephen D. Dumont - Duns Scotus p.205
     A reaction: So either it exists or it doesn't. No nonsense about 'subsisting'. Russell flirted with subsistence, but Quine agrees with Duns Scotus (and so do I).
Being (not sensation or God) is the primary object of the intellect [Duns Scotus, by Dumont]
     Full Idea: Duns Scotus said the primary object of the created intellect was being, rejecting Aquinas's Aristotelian view that it was limited to the quiddity of the sense particular, and Henry of Ghent's Augustinian view that it was God.
     From: report of John Duns Scotus (works [1301]) by Stephen D. Dumont - Duns Scotus p.205
     A reaction: I suppose the 'primary object of the intellect' is the rationalist/empiricism disagreement. So (roughly) Aquinas was an empiricist, Duns Scotus was a rationalist, and Augustine was a transcendentalist? Augustine sounds like Spinoza.
8. Modes of Existence / D. Universals / 4. Uninstantiated Universals
Duns Scotus was a realist about universals [Duns Scotus, by Dumont]
     Full Idea: Duns Scotus was a realist on the issue of universals and one of the main adversaries of Ockham's programme of nominalism.
     From: report of John Duns Scotus (works [1301]) by Stephen D. Dumont - Duns Scotus p.206
     A reaction: The view of Scotus seems to be the minority view. It is hard to find thinkers who really believe that universals have an independent existence. My interest in Duns Scotus waned when I read this. How does he imagine universals?
9. Objects / A. Existence of Objects / 5. Individuation / d. Individuation by haecceity
Scotus said a substantial principle of individuation [haecceitas] was needed for an essence [Duns Scotus, by Dumont]
     Full Idea: Rejecting the standard views that essences are individuated by either actual existence, quantity or matter, Scotus said that the principle of individuation is a further substantial difference added to the species - the so-called haecceitas or 'thisness'.
     From: report of John Duns Scotus (works [1301]) by Stephen D. Dumont - Duns Scotus p.206
     A reaction: [Scotus seldom referred to 'haecceitas'] I suppose essences have prior existence, but are too generic, so something must fix an essence as pertaining to this particular object. Is the haecceitas part of the essence, or of the particular?
9. Objects / D. Essence of Objects / 2. Types of Essence
Avicenna and Duns Scotus say essences have independent and prior existence [Duns Scotus, by Dumont]
     Full Idea: Duns Scotus endorsed Avicenna's theory of the common nature, according to which the essences have an independence and priority to their existence as either universal in the mind or singular outside it.
     From: report of John Duns Scotus (works [1301]) by Stephen D. Dumont - Duns Scotus p.206
     A reaction: I occasionally meet this weird idea in modern discussions of essence (in Lowe?), and now see its origin. It makes little sense without a divine mind to support the independent essences. Scotus had to add a principle of individuation for essences.
11. Knowledge Aims / B. Certain Knowledge / 1. Certainty
Certainty comes from the self-evident, from induction, and from self-awareness [Duns Scotus, by Dumont]
     Full Idea: Duns Scotus grounded certitude in the knowledge of self-evident propositions, induction, and awareness of our own state.
     From: report of John Duns Scotus (works [1301]) by Stephen D. Dumont - Duns Scotus p.206
     A reaction: Induction looks like the weak link here.
11. Knowledge Aims / C. Knowing Reality / 1. Perceptual Realism / b. Direct realism
Scotus defended direct 'intuitive cognition', against the abstractive view [Duns Scotus, by Dumont]
     Full Idea: Scotus allocated to the intellect a direct, existential awareness of the intelligible object, called 'intuitive cognition', in contrast to abstractive knowledge, which seized the object independently of its presence to the intellect in actual existence.
     From: report of John Duns Scotus (works [1301]) by Stephen D. Dumont - Duns Scotus p.206
     A reaction: Presumably if you see a thing, shut your eyes and then know it, that is 'abstractive'. Scotus says open your eyes for proper knowledge.
12. Knowledge Sources / A. A Priori Knowledge / 2. Self-Evidence
Augustine's 'illumination' theory of knowledge leads to nothing but scepticism [Duns Scotus, by Dumont]
     Full Idea: Scotus rejected Henry of Ghent's defence of Augustine's of knowledge by 'illumination', as leading to nothing but scepticism. ...After this, illumination never made a serious recovery.
     From: report of John Duns Scotus (works [1301]) by Stephen D. Dumont - Duns Scotus p.206
16. Persons / F. Free Will / 2. Sources of Free Will
The will retains its power for opposites, even when it is acting [Duns Scotus, by Dumont]
     Full Idea: Scotus said the will is a power for opposites, in the sense that even when actually willing one thing, it retains a real, active power to will the opposite. He detaches the idea of freedom from time and variability.
     From: report of John Duns Scotus (works [1301]) by Stephen D. Dumont - Duns Scotus p.206
     A reaction: In the sense that we can abandon an action when in the middle of it, this seems to be correct. Not just 'I could have done otherwise', but 'I don't have to be doing this'. This shows that the will has wide power, but not that it is 'free'.
19. Language / F. Communication / 3. Denial
We learn 'not' along with affirmation, by learning to either affirm or deny a sentence [Rumfitt]
     Full Idea: The standard view is that affirming not-A is more complex than affirming the atomic sentence A itself, with the latter determining its sense. But we could learn 'not' directly, by learning at once how to either affirm A or reject A.
     From: Ian Rumfitt ("Yes" and "No" [2000], IV)
     A reaction: [compressed] This seems fairly anti-Fregean in spirit, because it looks at the psychology of how we learn 'not' as a way of clarifying what we mean by it, rather than just looking at its logical behaviour (and thus giving it a secondary role).
28. God / A. Divine Nature / 2. Divine Nature
The concept of God is the unique first efficient cause, final cause, and most eminent being [Duns Scotus, by Dumont]
     Full Idea: Duns Scotus establishes God as first efficient cause, as ultimate final cause, and as most eminent being - his so-called 'triple primacy' - and says there is a unique nature within these primacies.
     From: report of John Duns Scotus (works [1301]) by Stephen D. Dumont - Duns Scotus p.206
     A reaction: This is the first stage of Duns Scotus's unusually complex argument for God's existence. Asserting the actual infinity of this unique being concludes his argument.
28. God / B. Proving God / 3. Proofs of Evidence / a. Cosmological Proof
We can't infer the infinity of God from creation ex nihilo [Duns Scotus, by Dumont]
     Full Idea: Duns Scotus rejected the traditional argument that the infinity of God can be inferred from creation ex nihilo.
     From: report of John Duns Scotus (works [1301]) by Stephen D. Dumont - Duns Scotus p.206
     A reaction: He accepted the infinity of God, however, but not for this reason. I don't know why he rejected it. I suppose the rejected claim is that something has to be infinite, and if it isn't the Cosmos then that leaves God?