10 ideas
17813 | Löwenheim-Skolem says any theory with a true interpretation has a model in the natural numbers [White,NP] |
Full Idea: The Löwenheim-Skolem theorem tells us that any theory with a true interpretation has a model in the natural numbers. | |
From: Nicholas P. White (What Numbers Are [1974], V) |
17812 | Finite cardinalities don't need numbers as objects; numerical quantifiers will do [White,NP] |
Full Idea: Statements involving finite cardinalities can be made without treating numbers as objects at all, simply by using quantification and identity to define numerically definite quantifiers in the manner of Frege. | |
From: Nicholas P. White (What Numbers Are [1974], IV) | |
A reaction: [He adds Quine 1960:268 as a reference] |
14082 | No sortal could ever exactly pin down which set of particles count as this 'cup' [Schaffer,J] |
Full Idea: Many decent candidates could the referent of this 'cup', differing over whether outlying particles are parts. No further sortal I could invoke will be selective enough to rule out all but one referent for it. | |
From: Jonathan Schaffer (Deflationary Metaontology of Thomasson [2009], 3.1 n8) | |
A reaction: I never had much faith in sortals for establishing individual identity, so this point comes as no surprise. The implication is strongly realist - that the cup has an identity which is permanently beyond our capacity to specify it. |
14081 | Identities can be true despite indeterminate reference, if true under all interpretations [Schaffer,J] |
Full Idea: There can be determinately true identity claims despite indeterminate reference of the terms flanking the identity sign; these will be identity claims true under all admissible interpretations of the flanking terms. | |
From: Jonathan Schaffer (Deflationary Metaontology of Thomasson [2009], 3.1) | |
A reaction: In informal contexts there might be problems with the notion of what is 'admissible'. Is 'my least favourite physical object' admissible? |
2986 | Belief is the most important propositional attitude [Lyons] |
Full Idea: Belief might be accorded the status of core or chief propositional attitude. | |
From: William Lyons (Approaches to Intentionality [1995], p.126) |
2978 | Consciousness no longer seems essential to intentionality [Lyons] |
Full Idea: In contrast with Brentano and Husserl, consciousness or attention are no longer seen as essential to intentionality. | |
From: William Lyons (Approaches to Intentionality [1995], Intro) | |
A reaction: This strikes me as being correct, although there seem to be plenty of current philosophers who do not accept it (e.g. Searle). I think philosophy of mind may be stuck in the dark ages if thinkers don't accept this proposal. |
2984 | Perceptions could give us information without symbolic representation [Lyons] |
Full Idea: It is possible to give an account of concept-formation without a language of thought or representation, based on perception, which in the brain seems to involve information without representation. | |
From: William Lyons (Approaches to Intentionality [1995], p.66) | |
A reaction: This claim strikes me as being a little too confident. One might say that a concept IS a representation. However, the perception of several horses might 'blur' together to form a generalised horse. |
2979 | Propositional attitudes require representation [Lyons] |
Full Idea: How else, other than via some form of representational system, could a human organism contain information as a content over which it could operate or 'attitudinise'? | |
From: William Lyons (Approaches to Intentionality [1995], Intro) | |
A reaction: Depends what you mean by 'representational'. In its vaguest sense, this is just a tautology - content must be held in the mind in some form or other, but that tells us nothing. |
2987 | Folk psychology works badly for alien cultures [Lyons] |
Full Idea: It is not easy to employ our folk psychology in the understanding of persons in a very different culture. | |
From: William Lyons (Approaches to Intentionality [1995], p.241) | |
A reaction: This strikes me as a highly significant problem for the friends of folk psychology. It also breaks down in extreme situations, or with mental illness. It seems closer to culture than to brain structure. |
2977 | All thinking has content [Lyons] |
Full Idea: I cannot say I am simply thinking but not thinking about anything. | |
From: William Lyons (Approaches to Intentionality [1995], Intro) | |
A reaction: Hard to disagree. However, I can plausibly reply to 'What are you thinking?' with 'Nothing', if my consciousness is freewheeling. Utterly disconnected content isn't really what we call 'thinking'. |