14 ideas
12302 | Definitions formed an abstract hierarchy for Aristotle, as sets do for us [Fine,K] |
Full Idea: For us it is sets which constitute the most natural example of a hierarchical structure within the abstract realm; but for Aristotle it would have been definitions, via their natural division into genus and differentia. | |
From: Kit Fine (Aristotle on Matter [1992], §1 n4) | |
A reaction: I suppose everyone who thinks about reality in abstraction ends up with a hierarchy. Compare the hierarchy of angelic hosts, or Greek gods. Could we get back to the Aristotelian view, instead of sets, which are out of control at the top end? |
14266 | Aristotle sees hierarchies in definitions using genus and differentia (as we see them in sets) [Fine,K] |
Full Idea: For us, sets constitute the most natural example of a hierarchical structure within the abstract realm. But for Aristotle it would have been definitions, via their natural division into genus and differentia. | |
From: Kit Fine (Aristotle on Matter [1992], 1 n4) | |
A reaction: Genus and differentia are only part of the story in Aristotle, and this remarks strikes me as perceptive. It is precisely the mapping of the explanatory hierarchy which Aristotle seeks in a good definition. |
10801 | Either reference really matters, or we don't need to replace it with substitutions [Quine] |
Full Idea: When we reconstrue quantification in terms of substituted expressions rather than real values, we waive reference. ...but if reference matters, we cannot afford to waive it as a category; and if it does not, we do not need to. | |
From: Willard Quine (Reply to Professor Marcus [1962], p.183) | |
A reaction: An odd dilemma to pose. Presumably the substitution account is an attempt to explain how language actually works, without mentioning dubious direct ontological commitment in the quantifiers. |
14268 | Maybe bottom-up grounding shows constitution, and top-down grounding shows essence [Fine,K] |
Full Idea: It may be that the two forms of grounding have a different source; the one from the bottom up is required for the constitution of the thing to be intelligible; the one from the top down is required for the essence of the thing to be intelligible. | |
From: Kit Fine (Aristotle on Matter [1992], 2) | |
A reaction: [He cites Aristotle Met. 1019a8-10 in support] Close reading of Fine would be needed to elucidate this properly, but it is a suggestive line of thought about how we should approach grounding. |
14267 | There is no distinctive idea of constitution, because you can't say constitution begins and ends [Fine,K] |
Full Idea: If the parts of a body can constitute a man, then why should men not constitute a family? Why draw the line at the level of the man? ...Thus the idea of a distinctive notion of constitution, terminating in concrete substances, should be given up. | |
From: Kit Fine (Aristotle on Matter [1992], 1) | |
A reaction: This is in the context of Aristotle, but Fine's view seems to apply to Rudder Baker's distinctive approach. |
14264 | Is there a plausible Aristotelian notion of constitution, applicable to both physical and non-physical? [Fine,K] |
Full Idea: There is a question of whether there is a viable conception of constitution of the sort Aristotle supposes, one which is uniformly applicable to physical and non-physical objects alike, and which is capable of hierarchical application. | |
From: Kit Fine (Aristotle on Matter [1992], 1) | |
A reaction: This is part of an explication of Aristotle's 'matter' [hule], which might be better translated as 'ingredients', which would fit non-physical things quite well. |
17499 | Theoretical models can represent, by mapping onto the data-models [Portides] |
Full Idea: The semantic approach contends that theoretical models ...are candidates for representing physical systems by virtue of the fact that they stand in mapping relations to corresponding data-models. | |
From: Demetris Portides (Models [2008], 'Current') | |
A reaction: Sounds like a neat and satisfying picture. |
17498 | In the 'received view' models are formal; the 'semantic view' emphasises representation [Portides, by PG] |
Full Idea: The 'received view' of models is that they are Tarskian formal axiomatic calculi interpreted by meta-mathematical models. The 'semantic' view of models gives equal importance to their representational capacity. | |
From: report of Demetris Portides (Models [2008], 'background') by PG - Db (ideas) | |
A reaction: The Tarskian view is the one covered in my section on Model Theory. Portides favours the semantic account, and I am with him all the way. Should models primarily integrate with formal systems, or with the world? Your choice... |
17501 | Representational success in models depends on success of their explanations [Portides] |
Full Idea: Models are representational, independently of the strength of their relation to theory, depending on how well they achieve the purpose of providing explanations for what occurs in physical systems. | |
From: Demetris Portides (Models [2008], 'Current') | |
A reaction: This doesn't sound quite right. It seems possible to have a perfect representation of a system which remains quite baffling (because too complex, or with obscure ingredients). Does the stylised London tube map explain well but represent badly? |
17502 | The best model of the atomic nucleus is the one which explains the most results [Portides] |
Full Idea: The unified model can be considered a better representation of the atomic nucleus in comparison to the liquid-drop and shell models, because it explains most of the known results about the nucleus. | |
From: Demetris Portides (Models [2008], 'Current') | |
A reaction: The point here is that models are evaluated not just by their accuracy, but by their explanatory power. Presumably a great model is satisfying and illuminating. Do the best models capture the essence of a thing? |
17496 | 'Model' belongs in a family of concepts, with representation, idealisation and abstraction [Portides] |
Full Idea: A better understanding of 'model', as used in science, could be achieved if we examine it as a member of the triad of concepts of representation, idealisation and abstraction. | |
From: Demetris Portides (Models [2008], 'Intro') | |
A reaction: Abstraction seems to have a bad name in philosophy, and yet when you come to discuss things like models, you can't express it any other way. |
17497 | Models are theory-driven, or phenomenological (more empirical and specific) [Portides] |
Full Idea: 'Theory-driven' models are constructed in a systematic theory-regulated way by supplementing the theoretical calculus with locally operative hypotheses. 'Phenomenological' models deploy semi-empirical results, with ad hoc hypotheses, and extra concepts. | |
From: Demetris Portides (Models [2008], 'Intro') | |
A reaction: [compressed] I am not at all clear about this distinction, even after reading his whole article. The first type of model seems more general, while the second seems tuned to particular circumstances. He claims the second type is more explanatory. |
17500 | General theories may be too abstract to actually explain the mechanisms [Portides] |
Full Idea: If theoretical models are highly abstract and idealised descriptions of phenomena, they may only represent general features, and fail to explain the specific mechanisms at work in physical systems. | |
From: Demetris Portides (Models [2008], 'Current') | |
A reaction: [compressed] While there may be an ideal theory that explains everything, it sounds right capturing the actual mechanism (such as the stirrup bone in the ear) is not at all theoretical. |
14265 | The components of abstract definitions could play the same role as matter for physical objects [Fine,K] |
Full Idea: If one considers Aristotle's standard example of a definition, then it is plausible that its defining terms ('plane figure' in the case of a circle) should be constitutive of it in the same general way as physical matter constitutes something physical. | |
From: Kit Fine (Aristotle on Matter [1992], 1) | |
A reaction: It strikes me that an appropriate translation for the Greek 'hule' might be the English 'ingredients', since Fine seems to be right about the broad application of hule in Aristotle. |