11 ideas
| 9224 | Proceduralism offers a version of logicism with no axioms, or objects, or ontological commitment [Fine,K] |
| Full Idea: My Proceduralism offers axiom-free foundations for mathematics. Axioms give way to the stipulation of procedures. We obtain a form of logicism, but with a procedural twist, and with a logic which is ontologically neutral, and no assumption of objects. | |
| From: Kit Fine (Our Knowledge of Mathematical Objects [2005], 1) | |
| A reaction: [See Ideas 9222 and 9223 for his Proceduralism] Sounds like philosophical heaven. We get to take charge of mathematics, without the embarrassment of declaring ourselves to be platonists. Someone, not me, should evaluate this. |
| 9222 | The objects and truths of mathematics are imperative procedures for their construction [Fine,K] |
| Full Idea: I call my new approach to mathematics 'proceduralism'. It agrees with Hilbert and Poincaré that the objects and truths are postulations, but takes them to be imperatival rather than indicative in form; not propositions, but procedures for construction. | |
| From: Kit Fine (Our Knowledge of Mathematical Objects [2005], Intro) | |
| A reaction: I'm not sure how an object or a truth can be a procedure, any more than a house can be a procedure. If a procedure doesn't have a product then it is an idle way to pass the time. The view seems to be related to fictionalism. |
| 9223 | My Proceduralism has one simple rule, and four complex rules [Fine,K] |
| Full Idea: My Proceduralism has one simple rule (introduce an object), and four complex rules: Composition (combining two procedures), Conditionality (if A, do B), Universality (do a procedure for every x), and Iteration (rule to keep doing B). | |
| From: Kit Fine (Our Knowledge of Mathematical Objects [2005], 1) | |
| A reaction: It sounds like a highly artificial and private game which Fine has invented, but he claims that this is the sort of thing that practising mathematicians have always done. |
| 7855 | Some suggest that materialism is empty, because 'physical' cannot be properly characterized [Mellor/Crane, by Papineau] |
| Full Idea: It is sometimes contended that the whole idea of materialism is somehow empty, on the grounds that there is no proper way to characterize the 'physical' realm. | |
| From: report of DH Mellor / T Crane (There is no question of physicalism [1990]) by David Papineau - Thinking about Consciousness 1.1 | |
| A reaction: [Papineau also cites Gabriel Segal] I agree with Papineau in rejecting this. Uncertainties about quantum states do not pose a problem, and the position tends to have an implicit dualism buried in it somewhere. |
| 10467 | Individuals consist of 'compresent' tropes [Bacon,John] |
| Full Idea: 'Qualitons' or 'relatons' (quality and relation tropes) are held to belong to the same individual if they are all 'compresent' with one another. | |
| From: John Bacon (Tropes [2008], §4) | |
| A reaction: There is a perennial problem with bundles - how to distinguish accidental compresence (like people in a lift) from united compresence (like people who make a family). |
| 10464 | A trope is a bit of a property or relation (not an exemplification or a quality) [Bacon,John] |
| Full Idea: A trope is an instance or bit (not an exemplification) of a property or a relation. Bill Clinton's eloquence is not his participating in the universal eloquence, or the peculiar quality of his eloquence, but his bit, and his alone, of eloquence. | |
| From: John Bacon (Tropes [2008], Intro) | |
| A reaction: If we have identified something as a 'bit' of something, we can ask whether that bit is atomic, or divisible into something else, and we can ask what are the qualities and properties and powers of this bit, we seems to defeat the object. |
| 10465 | Trope theory is ontologically parsimonious, with possibly only one-category [Bacon,John] |
| Full Idea: A major attraction of tropism has been its promise of parsimony; some adherents (such as Campbell) go so far as to proclaim a one-category ontology. | |
| From: John Bacon (Tropes [2008], §2) | |
| A reaction: This seems to go against the folk idiom which suggests that it is things which have properties, rather than properties ruling to roost. Maybe if one identified tropes with processes, the theory could be brought more into line with modern physics? |
| 10466 | Maybe possible worlds are just sets of possible tropes [Bacon,John] |
| Full Idea: Meinongian tropism has the advantage that possible worlds might be thought of as sets of 'qualitons' and 'relatons' (quality and relational tropes). | |
| From: John Bacon (Tropes [2008], §3) | |
| A reaction: You are still left with 'possible' to explain, and I'm not sure that anything is explain here. If the actual world is sets of tropes, then possible worlds would also have to be, I suppose. |
| 6120 | Causation depends on intrinsic properties [Mellor/Crane] |
| Full Idea: The problem thoughts pose for causation is that causation depends directly only on intrinsic properties, whereas the causal powers of token thoughts depend on their contents, which are not intrinsic. | |
| From: DH Mellor / T Crane (There is no question of physicalism [1990], p.194) | |
| A reaction: This, as we find later in the paper, depends on an externalist account of thoughts. Could a relational property not be causal? Edinburgh's being wetter than London is caused by its being further north? |
| 6121 | There are many psychophysicals laws - about the effects of sweets, colours and soft cushions [Mellor/Crane] |
| Full Idea: There are many psychophysical laws, linking sensations to non-mental features of those who have them; the industries of anaesthetics, scents, narcotics, sweeteners, coloured paints, loudspeakers and soft cushions depend on them. | |
| From: DH Mellor / T Crane (There is no question of physicalism [1990], p.198) | |
| A reaction: It may be expressing it a little strongly to call these 'laws', but they are certainly reliable regularities, and they are probably enough to undermine Davidson's claim that such laws don't exist. |
| 6122 | No defences of physicalism can deprive psychology of the ontological authority of other sciences [Mellor/Crane] |
| Full Idea: Neither laws nor causation nor claims of supervenience (the last refuge of the physicalist) deprive psychology of the ontological authority of non-mental science. | |
| From: DH Mellor / T Crane (There is no question of physicalism [1990], p.203) | |
| A reaction: There is no need to defend the practice of psychologists (or garden designers) from the depradations of bandit physicalists. But what is the ontology of psychology if it isn't dualist or physicalist? |