10 ideas
| 13536 | Skolem did not believe in the existence of uncountable sets [Skolem] |
| Full Idea: Skolem did not believe in the existence of uncountable sets. | |
| From: Thoralf Skolem (works [1920], 5.3) | |
| A reaction: Kit Fine refers somewhere to 'unrepentent Skolemites' who still hold this view. |
| 13768 | Validity can preserve certainty in mathematics, but conditionals about contingents are another matter [Edgington] |
| Full Idea: If your interest in logic is confined to applications to mathematics or other a priori matters, it is fine for validity to preserve certainty, ..but if you use conditionals when arguing about contingent matters, then great caution will be required. | |
| From: Dorothy Edgington (Conditionals [2001], 17.2.1) |
| 13770 | There are many different conditional mental states, and different conditional speech acts [Edgington] |
| Full Idea: As well as conditional beliefs, there are conditional desires, hopes, fears etc. As well as conditional statements, there are conditional commands, questions, offers, promises, bets etc. | |
| From: Dorothy Edgington (Conditionals [2001], 17.3.4) |
| 13764 | Are conditionals truth-functional - do the truth values of A and B determine the truth value of 'If A, B'? [Edgington] |
| Full Idea: Are conditionals truth-functional - do the truth values of A and B determine the truth value of 'If A, B'? Are they non-truth-functional, like 'because' or 'before'? Do the values of A and B, in some cases, leave open the value of 'If A,B'? | |
| From: Dorothy Edgington (Conditionals [2001], 17.1) | |
| A reaction: I would say they are not truth-functional, because the 'if' asserts some further dependency relation that goes beyond the truth or falsity of A and B. Logical ifs, causal ifs, psychological ifs... The material conditional ⊃ is truth-functional. |
| 13765 | 'If A,B' must entail ¬(A & ¬B); otherwise we could have A true, B false, and If A,B true, invalidating modus ponens [Edgington] |
| Full Idea: If it were possible to have A true, B false, and If A,B true, it would be unsafe to infer B from A and If A,B: modus ponens would thus be invalid. Hence 'If A,B' must entail ¬(A & ¬B). | |
| From: Dorothy Edgington (Conditionals [2001], 17.1) | |
| A reaction: This is a firm defence of part of the truth-functional view of conditionals, and seems unassailable. The other parts of the truth table are open to question, though, if A is false, or they are both true. |
| 22392 | Morality is inescapable, in descriptive words such as 'dishonest', 'unjust' and 'uncharitable' [Foot] |
| Full Idea: There is a sense in which morality is inescapable - in moral epithets such as 'dishonest', 'unjust', 'uncharitable'; these do not cease to apply to a man because he is indifferent to the ends of morality: they may indeed apply because of his indifference. | |
| From: Philippa Foot (Morality as system of hypothetical imperatives [1972], p.172 n15) | |
| A reaction: Odysseus was admired for lying, and charity wasn't a virtue in the ancient world. They won't go away as factual descriptions, but the values attached to them vary quite a lot. |
| 23685 | Reason is not a motivator of morality [Foot, by Hacker-Wright] |
| Full Idea: In her middle period she changed her mind, and attacks moral rationalism. | |
| From: report of Philippa Foot (Morality as system of hypothetical imperatives [1972]) by John Hacker-Wright - Philippa Foot's Moral Thought Intro | |
| A reaction: That is, she doubted whether moral reasons are sufficient to motivate moral actions, which presumably therefore need desires, as the Humeans claimed. Reasons rely on merely hypothetical rules. |
| 23691 | Rejecting moral rules may be villainous, but it isn't inconsistent [Foot] |
| Full Idea: The man who rejects morality because he sees no reason to obey its rules can be convicted of villainy but not of inconsistency. | |
| From: Philippa Foot (Morality as system of hypothetical imperatives [1972], p.161) | |
| A reaction: This is 'middle period' Foot, when she decided that Hume was right about the need for a desire as moral motivator. Before and after this time, she thought there were reasons to be moral, as well as desires. |
| 22391 | Saying we 'ought to be moral' makes no sense, unless it relates to some other system [Foot] |
| Full Idea: 'One ought to be moral' makes no sense at all unless the 'ought' has the moral subscript, giving a tautology, or else relates morality to some other system such as prudence or etiquette. | |
| From: Philippa Foot (Morality as system of hypothetical imperatives [1972], p.169 n18) | |
| A reaction: This aims to undercut the Kantian view that morality is an absolute call to duty (filling us with wonder, like the starry heavens). Foot aims to root morality in the real world. |
| 22389 | Morality no more consists of categorical imperatives than etiquette does [Foot] |
| Full Idea: Moral judgements have no better claim to be categorical imperatives than do statements about matters of etiquette. | |
| From: Philippa Foot (Morality as system of hypothetical imperatives [1972], p.164) | |
| A reaction: Her claim is that all moral judgements are responses to situations, and so are hypothetical. This judgement of hers is the culmination of a careful discussion. |