8 ideas
16186 | The Barcan Formulas express how to combine modal operators with classical quantifiers [Simchen] |
Full Idea: The Barcan Formula and its converse gives expression to the most straightforward way of combining modal operators with classical quantification. | |
From: Ori Simchen (The Barcan Formula and Metaphysics [2013], §1) |
16187 | The Barcan Formulas are orthodox, but clash with the attractive Actualist view [Simchen] |
Full Idea: The Barcan Formulas are a threat to 'actualism' in modal metaphysics, which seems regrettable since the Formulas are validated by standard modal logics, but clash with the plausible and attractive actualist view (that there are no merely possible things). | |
From: Ori Simchen (The Barcan Formula and Metaphysics [2013], §1) | |
A reaction: He notes that the Barcan Formulas 'appear to require quantification over possibilia'. So are you prepared to accept the 'possible elephant in your kitchen'? Conceptually yes, but actually no, I would have thought. So possibilia are conceptual. |
16190 | BF implies that if W possibly had a child, then something is possibly W's child [Simchen] |
Full Idea: In accordance with the Barcan Formula we assume that if it is possible that Wittgenstein should have had a child, then something or other is possibly Wittgentein's child. | |
From: Ori Simchen (The Barcan Formula and Metaphysics [2013], §5) | |
A reaction: Put like this it sounds unpersuasive. What is the something or other? Someone else's child? A dustbin? A bare particular? Wittgenstein's child? If it was the last one, how could it be Wittgenstein's child while only possibly being that thing? |
12220 | Is it the sentence-token or the sentence-type that has a logical form? [Fine,K] |
Full Idea: Do we attribute a logical form to a sentence token because it is a token of a type with that form, or do we attribute a logical form to a sentence type because it is a type of a token with that form? | |
From: Kit Fine (Quine on Quantifying In [1990], p.110) | |
A reaction: Since I believe in propositions (as the unambiguous thought that lies behind a sentence), I take it that logical form concerns propositions, though strict logicians don't like this, for fear that logic spills into psychology. |
12222 | Substitutional quantification is referential quantification over expressions [Fine,K] |
Full Idea: Substitutional quantification may be regarded as referential quantification over expressions. | |
From: Kit Fine (Quine on Quantifying In [1990], p.124) | |
A reaction: This is an illuminating gloss. Does such quantification involve some ontological commitment to expressions? I feel an infinite regress looming. |
16188 | Serious Actualism says there are no facts at all about something which doesn't exist [Simchen] |
Full Idea: Serious Actualism is the view that in possible circumstances in which something does not exist there are no facts about it of any kind, including its very non-existence | |
From: Ori Simchen (The Barcan Formula and Metaphysics [2013], §1 n4) | |
A reaction: He suggests that the Converse Barcan Formula implies this view. It sounds comparable to the view of Presentism about time, that no future or past truthmakers exist right now. If a new square table were to exist, it would have four corners. |
7458 | The reliability of witnesses depends on whether they benefit from their observations [Laplace, by Hacking] |
Full Idea: The credibility of a witness is in part a function of the story being reported. When the story claims to have infinite value, the temptation to lie for personal benefit is asymptotically infinite. | |
From: report of Pierre Simon de Laplace (Philosophical Essay on Probability [1820], Ch.XI) by Ian Hacking - The Emergence of Probability Ch.8 | |
A reaction: Laplace seems to especially have reports of miracles in mind. This observation certainly dashes any dreams one might have of producing a statistical measure of the reliability of testimony. |
3441 | If a supreme intellect knew all atoms and movements, it could know all of the past and the future [Laplace] |
Full Idea: An intelligence knowing at an instant the whole universe could know the movement of the largest bodies and atoms in one formula, provided his intellect were powerful enough to subject all data to analysis. Past and future would be present to his eyes. | |
From: Pierre Simon de Laplace (Philosophical Essay on Probability [1820]), quoted by Mark Thornton - Do we have free will? p.70 |