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All the ideas for '', 'Philosophical Implications of Mathematical logic' and 'Modern Moral Philosophy'

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9 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 / C. Ontology of Logic / 1. Ontology of Logic
Logic is highly general truths abstracted from reality [Russell, by Glock]
     Full Idea: In 1911 Russell held that the propositions of logic are supremely general truths about the most pervasive traits of reality, to which we have access by abstraction from non-logical propositions.
     From: report of Bertrand Russell (Philosophical Implications of Mathematical logic [1911]) by Hans-Johann Glock - What is Analytic Philosophy? 2.4
     A reaction: Glock says the rival views were Mill's inductions, psychologism, and Frege's platonism. Wittgenstein converted Russell to a fifth view, that logic is empty tautologies. I remain resolutely attached to Russell's abstraction view.
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
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.
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.
15. Nature of Minds / C. Capacities of Minds / 5. Generalisation by mind
It is good to generalise truths as much as possible [Russell]
     Full Idea: It is a good thing to generalise any truth as much as possible.
     From: Bertrand Russell (Philosophical Implications of Mathematical logic [1911], p.289)
     A reaction: An interesting claim, which seems to have a similar status to Ockham's Razor. Its best justification is pragmatic, and concerns strategies for coping with a big messy world. Russell's defence is in 'as much as possible'.
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).
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character
It would be better to point to failings of character, than to moral wrongness of actions [Anscombe]
     Full Idea: It would be a great improvement if, instead of 'morally wrong', one always named a genus such as 'untruthful', 'unchaste', or 'unjust'.
     From: G.E.M. Anscombe (Modern Moral Philosophy [1958], p.183)
     A reaction: People are indeed much more struck by the suggestion that they have a weakness of character, rather than that they have just done something wrong. This is Anscombe's first great appeal for a return to virtue as the basis of ethics.
23. Ethics / D. Deontological Ethics / 1. Deontology
'Ought' and 'right' are survivals from earlier ethics, and should be jettisoned [Anscombe]
     Full Idea: The moral sense of 'ought' and of what is right should be jettisoned, if possible, because they are survivals from an earlier conception of ethics, and are only harmful without it.
     From: G.E.M. Anscombe (Modern Moral Philosophy [1958], p.175)
     A reaction: This is part of a revolutionary proposal to return to virtue theory, and has had a great influence (e.g. on me). Richard Taylor gives a good account of how duty lost its social and religious underpinnings. Our duties now seem to be purely contractual.
Between Aristotle and us, a Judaeo-Christian legal conception of ethics was developed [Anscombe]
     Full Idea: Between Aristotle and us came Christianity, with its law conception of ethics, and Christianity derived its ethical notions from the Torah.
     From: G.E.M. Anscombe (Modern Moral Philosophy [1958], p.179)
     A reaction: While I am a fan of the primacy of the virtues in ethical thinking, I am doubtful about the complete elimination of laws (e.g. by Particularists). The law teaches us the virtues, and reminds us of them (like speed-limit signs).