19 ideas
| 5831 | The new view is that "water" is a name, and has no definition [Schwartz,SP] |
| Full Idea: Perhaps the modern view is best expressed as saying that "water" has no definition at all, at least in the traditional sense, and is a proper name of a specific substance. | |
| From: Stephen P. Schwartz (Intro to Naming,Necessity and Natural Kinds [1977], §III) | |
| A reaction: This assumes that proper names have no definitions, though I am not clear how we can grasp the name 'Aristotle' without some association of properties (human, for example) to go with it. We need a definition of 'definition'. |
| 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) |
| 5829 | We refer to Thales successfully by name, even if all descriptions of him are false [Schwartz,SP] |
| Full Idea: We can refer to Thales by using the name "Thales" even though perhaps the only description we can supply is false of him. | |
| From: Stephen P. Schwartz (Intro to Naming,Necessity and Natural Kinds [1977], §III) | |
| A reaction: It is not clear what we would be referring to if all of our descriptions (even 'Greek philosopher') were false. If an archaeologist finds just a scrap of stone with a name written on it, that is hardly a sufficient basis for successful reference. |
| 5830 | The traditional theory of names says some of the descriptions must be correct [Schwartz,SP] |
| Full Idea: The traditional theory of proper names entails that at least some combination of the things ordinarily believed of Aristotle are necessarily true of him. | |
| From: Stephen P. Schwartz (Intro to Naming,Necessity and Natural Kinds [1977], §III) | |
| A reaction: Searle endorses this traditional theory. Kripke and co. tried to dismiss it, but you can't. If all descriptions of Aristotle turned out to be false (it was actually the name of a Persian statue), our modern references would have been unsuccessful. |
| 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. |
| 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. |
| 19558 | Our own intuitions about whether we know tend to vacillate [Cohen,S] |
| Full Idea: One robust feature of our intuitions about whether we know things is that they tend to vacillate. | |
| From: Stewart Cohen (Contextualism Defended (and reply) [2005], 1) | |
| A reaction: This strikes me as important. If we were tacit invariantists (Idea 19557) we should be able to ask ourselves whether we 'really and truly' know various things, but we can't decide. I know lots about Nietzsche in a pub, and very little in a university. |
| 19561 | We shouldn't jump too quickly to a contextualist account of claims to know [Cohen,S] |
| Full Idea: Maybe contextualists are too quick to appeal to our conflicting intuitions regarding knowledge. | |
| From: Stewart Cohen (Contextualism Defended (and reply) [2005], 1) | |
| A reaction: An important point (from Earl Conee). I thoroughly approve of contextualism, but the whole status of whether a witness or a teacher knows what they are talking about is in danger of collapsing into relativism. This is what peer review is all about. |
| 19563 | The context sensitivity of knowledge derives from its justification [Cohen,S] |
| Full Idea: On my own view, the context sensivity of knowledge is inherited from one of its components, i.e. justification. | |
| From: Stewart Cohen (Contextualism Defended (and reply) [2005], 1) | |
| A reaction: That sounds right, and it reinforces the idea that 'justification' is a more important epistemological concept than 'knowledge'. 'Am I justified in believing p?' Answer: 'it depends how well you have researched it'. |
| 19560 | Contextualism is good because it allows knowledge, but bad because 'knowing' is less valued [Cohen,S] |
| Full Idea: Contextualism is a 'good news, bad news' theory. The good news is that we have lots of knowledge and many surfaces are 'flat'; the bad news is that knowledge and flatness are not all they were cracked up to be. | |
| From: Stewart Cohen (Contextualism Defended (and reply) [2005], 3) | |
| A reaction: That is exactly my position. I lost all interest in whether someone precisely 'knows' or 'does not know' something a long time ago (even in scientific or forensic contexts). In the case of flatness the case is even more obvious. |
| 12893 | Contextualism says sceptical arguments are true, relative to their strict context [Cohen,S] |
| Full Idea: Contextualism explains the appeal of sceptical arguments by allowing that the claims of the sceptic are true, relative to the very strict context in which they are made. | |
| From: Stewart Cohen (Contextualism Defended [2005], p.57) | |
| A reaction: This strikes me a right. I've always thought that global scepticism must be conceded if we are being very strict indeed about justification, but also that it is ridiculous to be that strict. So the epistemological question is 'How strict should we be?' |
| 12896 | Knowledge is context-sensitive, because justification is [Cohen,S] |
| Full Idea: The context-sensitivity of knowledge is inherited from one of its components, i.e. justification. | |
| From: Stewart Cohen (Contextualism Defended [2005], p.68) | |
| A reaction: I think this is exactly right - that there is nothing relative or contextual about what is actually true, or what someone believes, but knowleddge is wholly relative because it rests on shifting standards of justification. |
| 12894 | There aren't invariant high standards for knowledge, because even those can be raised [Cohen,S] |
| Full Idea: The problem for invariantism is that competent speakers, under sceptical pressure, tend to deny that we know even the most conspicuous facts of perception, the clearest memories etc. | |
| From: Stewart Cohen (Contextualism Defended [2005], p.58) | |
| A reaction: This is aimed at Idea 12892. This seems to me a strong response to the rather weak invariantist case (that there is 'really and truly' only one invariant standard for knowledge). Full strength scepticism about everything demolishes all knowledge. |
| 19559 | Contextualists slightly concede scepticism, but only in extremely strict contexts [Cohen,S] |
| Full Idea: Contextualism concedes that there is some truth to skepticism, but contains the damage by holding that skeptical claims are true only relative to atypically strict contexts. | |
| From: Stewart Cohen (Contextualism Defended (and reply) [2005], 1) | |
| A reaction: My attitude to scepticism is that everything we ever affirm should have a footnote saying '...but you never know...', and it should then be ignored. In the strictest context everything is doubted simultaneously (including language), and that is paralysis. |
| 5826 | The intension of "lemon" is the conjunction of properties associated with it [Schwartz,SP] |
| Full Idea: The conjunction of properties associated with a term such as "lemon" is often called the intension of the term "lemon". | |
| From: Stephen P. Schwartz (Intro to Naming,Necessity and Natural Kinds [1977], §II) | |
| A reaction: The extension of "lemon" is the set of all lemons. At last, a clear explanation of the word 'intension'! The debate becomes clear - over whether the terms of a language are used in reference to ideas of properties (and substances?), or to external items. |