11 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. |
| 8507 | Some think of reality as made of things; I prefer facts or states of affairs [Armstrong] |
| Full Idea: Some philosophers (like Devitt) think of reality as made up of things. Others, like me, think of it as made up of facts or states of affairs. | |
| From: David M. Armstrong (Against 'Ostrich Nominalism' [1980], §3) | |
| A reaction: Devitt is a follower of Quine on this. Personally I rather like 'processes'. Unanalysed things with predication (Quine) don't look promising. I currently favour things with active powers, which give rise to properties. See Shoemaker and Ellis. |
| 8506 | Particulars and properties are distinguishable, but too close to speak of a relation [Armstrong] |
| Full Idea: I favour the Realist view that while we can distinguish the particularity of a particular from its properties, but the two 'factors' are too intimately together to speak of a relation between them. | |
| From: David M. Armstrong (Against 'Ostrich Nominalism' [1980], §3) | |
| A reaction: Is Armstrong being a bit of an ostrich here? We could talk of part-whole relationships, or internal relations, or set membership, or coinciding objects, or bundles. We certainly ought to have a go. Armstrong approaches Quine here! |
| 8505 | Refusal to explain why different tokens are of the same type is to be an ostrich [Armstrong] |
| Full Idea: A philosophical account of a general sort is required of what it is for different tokens to be of the same type. To refuse to give such an account is to be a metaphysical ostrich. | |
| From: David M. Armstrong (Against 'Ostrich Nominalism' [1980], §1) | |
| A reaction: This defines Ostrich Nominalism (a label Armstrong aims at Quine). I certainly sympathise with Armstrong. If there is no more to a class (a type) than just having members (tokens), nothing is explain. What is natural, essential, intensional etc.? |
| 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. |
| 20948 | Human cultures are organisms which grow, and then fade and die [Spengler, by Bowie] |
| Full Idea: Spengler relies upon the idea of human cultures as organisms which grow and then inevitably die, having lost their vitality. | |
| From: report of Oswald Spengler (The Decline of the West [1918]) by Andrew Bowie - Introduction to German Philosophy 2 'Herder' | |
| A reaction: He should have thought more about technology. If the 'West' collapses and is replaced by China (say), the new Chinese culture will be barely distinguishable from the West, because they will pursue similar technologies. |