13 ideas
| 15375 | If terms change their designations in different states, they are functions from states to objects [Fitting] |
| Full Idea: The common feature of every designating term is that designation may change from state to state - thus it can be formalized by a function from states to objects. | |
| From: Melvin Fitting (Intensional Logic [2007], 3) | |
| A reaction: Specifying the objects sounds OK, but specifying states sounds rather tough. |
| 15376 | Intensional logic adds a second type of quantification, over intensional objects, or individual concepts [Fitting] |
| Full Idea: To first order modal logic (with quantification over objects) we can add a second kind of quantification, over intensions. An intensional object, or individual concept, will be modelled by a function from states to objects. | |
| From: Melvin Fitting (Intensional Logic [2007], 3.3) |
| 15378 | Awareness logic adds the restriction of an awareness function to epistemic logic [Fitting] |
| Full Idea: Awareness logic enriched Hintikka's epistemic models with an awareness function, mapping each state to the set of formulas we are aware of at that state. This reflects some bound on the resources we can bring to bear. | |
| From: Melvin Fitting (Intensional Logic [2007], 3.6.1) | |
| A reaction: [He cites Fagin and Halpern 1988 for this] |
| 15379 | Justication logics make explicit the reasons for mathematical truth in proofs [Fitting] |
| Full Idea: In justification logics, the logics of knowledge are extended by making reasons explicit. A logic of proof terms was created, with a semantics. In this, mathematical truths are known for explicit reasons, and these provide a measure of complexity. | |
| From: Melvin Fitting (Intensional Logic [2007], 3.6.1) |
| 11026 | Classical logic is deliberately extensional, in order to model mathematics [Fitting] |
| Full Idea: Mathematics is typically extensional throughout (we write 3+2=2+3 despite the two terms having different meanings). ..Classical first-order logic is extensional by design since it primarily evolved to model the reasoning of mathematics. | |
| From: Melvin Fitting (Intensional Logic [2007], §1) |
| 11028 | λ-abstraction disambiguates the scope of modal operators [Fitting] |
| Full Idea: λ-abstraction can be used to abstract and disambiguate a predicate. De re is [λx◊P(x)](f) - f has the possible-P property - and de dicto is ◊[λxP(x)](f) - possibly f has the P-property. Also applies to □. | |
| From: Melvin Fitting (Intensional Logic [2007], §3.3) | |
| A reaction: Compare the Barcan formula. Originated with Church in the 1930s, and Carnap 1947, but revived by Stalnaker and Thomason 1968. Because it refers to the predicate, it has a role in intensional versions of logic, especially modal logic. |
| 14348 | An 'antidote' allows a manifestation to begin, but then blocks it [Corry] |
| Full Idea: An 'antidote' (or 'mask') to a disposition (unlike a 'finkish' one) leaves the disposition intact, but interferes with the causal chain between the disposition and its manifestation so that the manifestation doesn't come about. | |
| From: Richard Corry (Dispositional Essentialism Grounds Laws of Nature? [2010], 2) | |
| A reaction: [He cites Bird 1997] Thus the disposition of the poison at least begins to manifest, but its disposition to kill is blocked. So what was the disposition of the poison? |
| 14347 | A 'finkish' disposition is one that is lost immediately after the appropriate stimulus [Corry] |
| Full Idea: An object's disposition is said to be 'finkish' if the object loses the disposition after the occurrence of the appropriate stimulus, but before the manifestation has had time to come about. | |
| From: Richard Corry (Dispositional Essentialism Grounds Laws of Nature? [2010], 2) | |
| A reaction: [He cites Lewis 1997] An example would be some sort of safety device which only cuts in if the disposition seems about to operate (e.g. turns off electricity). It seems to block analyses of dispositions simply in terms of their outcomes. |
| 14350 | If a disposition is never instantiated, it shouldn't be part of our theory of nature [Corry] |
| Full Idea: If we have no good reason to believe that a disposition is instantiated, then the disposition should play no role in our theorizing about the world. | |
| From: Richard Corry (Dispositional Essentialism Grounds Laws of Nature? [2010], 3) | |
| A reaction: It is part of our theory that a substantial lump of uranium will explode, but also that a galaxy-sized lump of uranium would explode. Surely we are committed to the latter, even though it never happens? |
| 15377 | Definite descriptions pick out different objects in different possible worlds [Fitting] |
| Full Idea: Definite descriptions pick out different objects in different possible worlds quite naturally. | |
| From: Melvin Fitting (Intensional Logic [2007], 3.4) | |
| A reaction: A definite description can pick out the same object in another possible world, or a very similar one, or an object which has almost nothing in common with the others. |
| 20147 | Arguments that my finger does not exist are less certain than your seeing my finger [Moore,GE] |
| Full Idea: This really is a finger ...and you all know it. ...I can safely challenge anyone to give an argument that it is not true, which does not rest upon some premise which is less certain than is the proposition which it is designed to attack. | |
| From: G.E. Moore (Some Judgements of Perception [1922], p.228), quoted by John Kekes - The Human Condition 01.3 | |
| A reaction: [In Moore's 'Philosophical Studies'] This is a particularly clear statement from Moore of his famous claim. I'm not sure what to make of an attempt to compare a sceptical argument (dreams, demons) with the sight of a finger. |
| 14351 | Maybe an experiment unmasks an essential disposition, and reveals its regularities [Corry] |
| Full Idea: The dispositional essentialist can argue that what happens in laboratory conditions is that, by controlling external influences, we effectively 'unmask' the relevant dispositions, and thus observe the regularities to which those dispositions give rise. | |
| From: Richard Corry (Dispositional Essentialism Grounds Laws of Nature? [2010], 5) | |
| A reaction: That seems to me to be exactly right, though Corry dislikes it, and even suggests that dispositional essentialist might not like it. |
| 14346 | Dispositional essentialism says fundamental laws of nature are strict, not ceteris paribus [Corry] |
| Full Idea: Dispositional essentialism implies that the fundamental laws of nature must be strict, not ceteris paribus. | |
| From: Richard Corry (Dispositional Essentialism Grounds Laws of Nature? [2010], 1) | |
| A reaction: I am not keen on the 'laws' of nature, but since essentialism seems to make them necessary, you can't get stricter than that. |