12 ideas
| 24069 | Much metaphysical debate concerns what is fundamental, rather than what exists [Koslicki] |
| Full Idea: Some of the most important debates in metaphysics or ontology do not concern existential questions, but focus on questions of fundamentality. | |
| From: Kathrin Koslicki (Form, Matter and Substance [2018], 5 Intro) | |
| A reaction: In modern times we have added the structure of existence to the mere ontological catalogue, and this idea makes another important addition to our concept of metaphysics. She gives disagreement over tropes as an example. |
| 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) |
| 21548 | The null class is the class with all the non-existents as its members [MacColl, by Lackey] |
| Full Idea: In 1905 the Scottish logician Hugh MacColl published a paper in which he argued that the null class in logic should be taken as the class with all the non-existents as its members. | |
| From: report of Hugh MacColl (Symbolic Reasoning [1905]) by Douglas Lackey - Intros to Russell's 'Essays in Analysis' p.95 | |
| A reaction: For the null object (zero) Frege just chose one sample concept with an empty extension. MacColl's set seems to have a lot of members, given that it is 'null'. How many, I wonder? Russell responded to this paper. |
| 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. |
| 24065 | Structured wholes are united by the teamwork needed for their capacities [Koslicki] |
| Full Idea: A structured whole derives its unity from the way in which its parts interact with other parts to allow both the whole and its parts to manifest those of their capacities which require 'team work' among the parts. | |
| From: Kathrin Koslicki (Form, Matter and Substance [2018], Intro) | |
| A reaction: This is a culminating thesis of her book. She defends it at length. It looks like a nice theory for things which are lucky enough to have capacities involving teamwork. Does this mean a pebble can't be unified? She wants a dynamic view. |
| 24066 | The form explains kind, structure, unity and activity [Koslicki] |
| Full Idea: Hylomorphists tend to agree that the form (rather than matter) explains 1) kind membership, 2) structure, 3) unity, 4) characteristic activities. | |
| From: Kathrin Koslicki (Form, Matter and Substance [2018], 3.2.1) | |
| A reaction: [compressed; she explains each of them] Personally I would add continuity through change (statue/clay). Glad to see that kind membership is not part of the form. And what about explaining observed properties? Does form=essence? |
| 24067 | Hylomorphic compounds need an individual form for transworld identity [Koslicki] |
| Full Idea: It is difficult to see how forms could serve as cross-world identity principles for hylomorphic compounds, unless these forms are particular or individual entities. | |
| From: Kathrin Koslicki (Form, Matter and Substance [2018], 3.4.3) | |
| A reaction: This is a key part of her objection to treating the form as universal or generic. I agree with her view. |
| 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. |