display all the ideas for this combination of texts
9 ideas
| 12866 | Composition is asymmetric and transitive [Simons] |
| Full Idea: Composition is asymmetric and transitive: if a is made up of b, and b of c, then a is made up of c; and if a is made of b, then b is not made up of a. We cannot say the snow is made up of the snowball. | |
| From: Peter Simons (Parts [1987], 6.5) | |
| A reaction: ...And snowballs composed of snow can then compose a snowman (transitivity). |
| 12867 | A hand constitutes a fist (when clenched), but a fist is not composed of an augmented hand [Simons] |
| Full Idea: Composition entails constitution, but does the converse hold? A hand constitutes a fist in virtue of being clenched, but it is not obvious that it composes a fist, and certainly a fist is not composed of a hand plus some additional part. | |
| From: Peter Simons (Parts [1987], 6.5) | |
| A reaction: There are subtleties of ordinary usage in 'compose' and 'constitute' which are worth teasing apart, but that isn't the last word on such relationships. 'Compose' seems to point towards matter, while 'constitute' seems to point towards form. |
| 12864 | We say 'b is part of a', 'b is a part of a', 'b are a part of a', or 'b are parts of a'. [Simons] |
| Full Idea: There are four cases of possible forms of expression when a is made up of b: we say 'b is part of a', or 'b is a part of a', or 'b are a part of a', or 'b are parts of a'. | |
| From: Peter Simons (Parts [1987], 6.4) | |
| A reaction: Personally I don't want to make much of these observations of normal English usage, but they are still interesting, and Simons offers a nice discussion of them. |
| 12814 | Classical mereology says there are 'sums', for whose existence there is no other evidence [Simons] |
| Full Idea: Either out of conviction or for reasons of algebraic neatness, classical extensional mereology asserts the existence of certain individuals, mereological sums, for whose existence in general we have no evidence outside the theory itself. | |
| From: Peter Simons (Parts [1987], Intro) | |
| A reaction: Observing that we have no evidence for sums 'outside the theory' is nice. It is a nice ontological test, with interesting implications for Quinean ontological commitment. |
| 12817 | 'Mereological extensionality' says objects with the same parts are identical [Simons] |
| Full Idea: Classical extensional mereology won't extend well to temporal and modal facts, because of 'mereological extensionality', which is the thesis that objects with the same parts are identical (by analogy with the extensionality of sets). | |
| From: Peter Simons (Parts [1987], Intro) | |
| A reaction: Simons challenges this view, claiming, for example, that the Ship of Theseus is two objects rather than one. I suppose 'my building bricks' might be 'your sculpture', but this is very ontologically extravagant. This is a mereological Leibniz's Law. |
| 12833 | If there are c atoms, this gives 2^c - 1 individuals, so there can't be just 2 or 12 individuals [Simons] |
| Full Idea: In classical mereology, if there are c atoms, where c is any cardinal number, there are 2^c - 1 individuals, so the cardinality of models is restricted. There are no models with cardinality 2, 12 or aleph-0, for example. | |
| From: Peter Simons (Parts [1987], 1.2) | |
| A reaction: The news that there is no possible world containing just 2 or just 12 individuals ought to worry fans of extensional mereology. A nice challenge for God - create a world containing just 12 individuals. |
| 12849 | Sums are more plausible for pluralities and masses than they are for individuals [Simons] |
| Full Idea: We are on stronger grounds in asserting the general existence of sums when considering pluralities and masses than when considering individuals. | |
| From: Peter Simons (Parts [1987], 5.2) | |
| A reaction: I was thinking that the modern emphasis on referring to plurals was precisely to resist the idea that we must 'sum' them into one thing. If so, we wouldn't want to then sum several plurals. If a mass isn't a sum, how can we sum some masses? |
| 12877 | Sums of things in different categories are found within philosophy. [Simons] |
| Full Idea: Cross-categorial sums are not unknown in philosophy. A body and the events which befall it are intimately connected, and the mysterious four-dimensional blocks might be mereological sums of the body and its life. | |
| From: Peter Simons (Parts [1987], 8.1) | |
| A reaction: Simons here ventures into the territory of abstracta, which he said he wouldn't touch. Presumably his first example has 'a biography' as its whole, which is not just a philosophical notion. Why will some categories sum, and others won't? |
| 12888 | The wholeness of a melody seems conventional, but of an explosion it seems natural [Simons] |
| Full Idea: The example of a melody shows that what counts as a temporal individual is partly a matter of human stipulation. But with a natural event like an explosion there is little or no room for decision about what is a part, and whether it is a single event. | |
| From: Peter Simons (Parts [1987], 9.6) | |
| A reaction: You could have a go at giving a natural account of the wholeness of a melody, in terms of the little aesthetic explosion that occurs in the brain of a listener. |