12 ideas
| 21339 | We want the ontology of relations, not just a formal way of specifying them [Heil] |
| Full Idea: A satisfying account of relations must be ontologically serious. This means refusing to rest content with abstract specifications of relations as sets of ordered n-tuples. | |
| From: John Heil (Relations [2009], Intro) | |
| A reaction: A set of ordered entities would give the extension of a relation, which wouldn't, among other things, explain co-extensive relations (if all the people to my left were also taller than me). Heil's is a general cry from the heart about formal philosophy. |
| 21349 | Two people are indirectly related by height; the direct relation is internal, between properties [Heil] |
| Full Idea: If Simmias is taller than Socrates, they are indirectly related; they are related via their possession of properties that are themselves directly - and internally - related. Hence relational truths are made true by non-relational features of the world. | |
| From: John Heil (Relations [2009], 'Founding') | |
| A reaction: This seems to be a strategy for reducing external relations to internal relations, which are intrinsic to objects, which thus reduces the ontology. Heil is not endorsing it, but cites Kit Fine 2000. The germ of this idea is in Plato. |
| 21340 | Maybe all the other features of the world can be reduced to relations [Heil] |
| Full Idea: A striking idea is that relations are ontologically primary: monadic, non-relational features of the world are constituted by relations. A view of this kind is defended by Peirce, and contemporary 'structural realists' like Ladyman. | |
| From: John Heil (Relations [2009], 'Relational') | |
| A reaction: I can't make sense of this proposal, which seems to offer relations with no relata. What is a relation? What is it made of? How do you individuate two instances of a relations, without reference to the relata? |
| 21348 | In the case of 5 and 6, their relational truthmaker is just the numbers [Heil] |
| Full Idea: We might say that the truthmakers for 'six is greater than five' are six and five themselves. On this view, truthmakers for one class of relational truths are non-relational features of the world. | |
| From: John Heil (Relations [2009], 'Founding') | |
| A reaction: That seems to be a good way of expressing the existence of an internal relation. |
| 21351 | Truthmaking is a clear example of an internal relation [Heil] |
| Full Idea: Truthmaking is a paradigmatic internal relation: if you have a truthbearer, a representation, and you have the world as the truthbearer represents it as being, you have truthmaking, you have the truthbearer's being true. | |
| From: John Heil (Relations [2009], 'Causal') | |
| A reaction: It is nice to have an example of an internal relation other than numbers, and closer to the concrete world. Is the relation between the world and facts about the world the same thing, or another example? |
| 21344 | If R internally relates a and b, and you have a and b, you thereby have R [Heil] |
| Full Idea: A simple way to think about internal relations is: if R internally relates a and b, then, if you have a and b, you thereby have R. If you have six and you have five, you thereby have six's being greater than five. | |
| From: John Heil (Relations [2009], 'External') | |
| A reaction: This seems to work a lot better for abstracta than for physical objects, where I am struggling to think of a parallel example. Parenthood? Temporal relations between things? Acorn and oak? |
| 21350 | If properties are powers, then causal relations are internal relations [Heil] |
| Full Idea: On the conception that properties are powers, it is no longer obvious that causal relations are external relations. Given the powers - all the powers in play - you have the manifestations. | |
| From: John Heil (Relations [2009], 'Causal') | |
| A reaction: This also delivers on a plate the necessity felt to be in causal relations, because the relation is inevitable once you are given the relata. But can you have an accidental (rather than essential) internal relation? Not in the case of numbers. |
| 13768 | Validity can preserve certainty in mathematics, but conditionals about contingents are another matter [Edgington] |
| Full Idea: If your interest in logic is confined to applications to mathematics or other a priori matters, it is fine for validity to preserve certainty, ..but if you use conditionals when arguing about contingent matters, then great caution will be required. | |
| From: Dorothy Edgington (Conditionals [2001], 17.2.1) |
| 13770 | There are many different conditional mental states, and different conditional speech acts [Edgington] |
| Full Idea: As well as conditional beliefs, there are conditional desires, hopes, fears etc. As well as conditional statements, there are conditional commands, questions, offers, promises, bets etc. | |
| From: Dorothy Edgington (Conditionals [2001], 17.3.4) |
| 13764 | Are conditionals truth-functional - do the truth values of A and B determine the truth value of 'If A, B'? [Edgington] |
| Full Idea: Are conditionals truth-functional - do the truth values of A and B determine the truth value of 'If A, B'? Are they non-truth-functional, like 'because' or 'before'? Do the values of A and B, in some cases, leave open the value of 'If A,B'? | |
| From: Dorothy Edgington (Conditionals [2001], 17.1) | |
| A reaction: I would say they are not truth-functional, because the 'if' asserts some further dependency relation that goes beyond the truth or falsity of A and B. Logical ifs, causal ifs, psychological ifs... The material conditional ⊃ is truth-functional. |
| 13765 | 'If A,B' must entail ¬(A & ¬B); otherwise we could have A true, B false, and If A,B true, invalidating modus ponens [Edgington] |
| Full Idea: If it were possible to have A true, B false, and If A,B true, it would be unsafe to infer B from A and If A,B: modus ponens would thus be invalid. Hence 'If A,B' must entail ¬(A & ¬B). | |
| From: Dorothy Edgington (Conditionals [2001], 17.1) | |
| A reaction: This is a firm defence of part of the truth-functional view of conditionals, and seems unassailable. The other parts of the truth table are open to question, though, if A is false, or they are both true. |
| 468 | Musical performance can reveal a range of virtues [Damon of Ath.] |
| Full Idea: In singing and playing the lyre, a boy will be likely to reveal not only courage and moderation, but also justice. | |
| From: Damon (fragments/reports [c.460 BCE], B4), quoted by (who?) - where? |