9 ideas
9456 | Modal logic is multiple systems, shown in the variety of accessibility relations between worlds [Jacquette] |
Full Idea: Modal logic by its very nature is not monolithic, but fragmented into multiple systems of modal qualifications, reflected in the plurality of accessibility relations on modal model structures or logically possible worlds. | |
From: Dale Jacquette (Intro to 'Philosophy of Logic' [2002], §3) | |
A reaction: He implies the multiplicity is basic, and is only 'reflected' in the relations, but maybe the multiplicity is caused by incompetent logicians who can't decide whether possible worlds really are reflexive or symmetrical or transitive in their relations. |
9457 | The two main views in philosophy of logic are extensionalism and intensionalism [Jacquette] |
Full Idea: Philosophy of logic has (roughly) two camps: extensionalists and intensionalists, with the former view dominant. ...There is a close connection between this and eliminativist or reductivist versus folk psychological and intentionalist philosophy of mind. | |
From: Dale Jacquette (Intro to 'Philosophy of Logic' [2002], §4) | |
A reaction: Hm. I think I favour intensionalism in the logic, and reductivism about the mind, so I may have a bit of bother here. I'm convinced that this jigsaw can be completed, despite all appearances. |
9458 | Extensionalists say that quantifiers presuppose the existence of their objects [Jacquette] |
Full Idea: Extensionalists hold that quantifiers in predicate logic presuppose the existence of whatever objects can be referred to by constants or bound variables, or enter into true predication of properties. | |
From: Dale Jacquette (Intro to 'Philosophy of Logic' [2002], §4) | |
A reaction: I have strong sales resistance to this view. Why should a procedure for correctly reasoning from one proposition to another have anything whatever to do with ontology? A false world picture can be interconnected by perfect logic. |
9461 | Intensionalists say meaning is determined by the possession of properties [Jacquette] |
Full Idea: According to intensionalist semantics the meaning of a proposition is determined by the properties an object possesses. | |
From: Dale Jacquette (Intro to 'Philosophy of Logic' [2002], §4) | |
A reaction: This sounds good to me. Extensionalist don't seem to care what sets they put things in, but if property possession comes first, then things will fall into their own sets without any help for us. We can add silly sets afterwards, if we fancy. |
9460 | Extensionalist semantics forbids reference to nonexistent objects [Jacquette] |
Full Idea: In extensionalist semantics only existent objects can be referred to, ...but in everyday thought and discourse we regularly and apparently without undue confusion speak about nonexistent objects. | |
From: Dale Jacquette (Intro to 'Philosophy of Logic' [2002], §4) | |
A reaction: This is the reason why Meinong, whose views are presented by Russell as absurd, are undergoing a revival. The full-blown view will even treat 'round squares' as objects about which we can reason - and why not? Don't open a shop which sells them. |
9459 | Extensionalist semantics is circular, as we must know the extension before assessing 'Fa' [Jacquette] |
Full Idea: Extensional semantics is blatantly circular. For 'Fa' to be interpreted as true, we must know that object a belongs to the extension of the predicate F, so we must already know which objects belong to the extension. | |
From: Dale Jacquette (Intro to 'Philosophy of Logic' [2002], §4) | |
A reaction: I'm delighted to read this, because it was the first thought that occurred to me when I encountered the theory. Presumably this leads Quine to take predication as basic, because you can't break into the circle. Or, vote for intensionalism? |
4422 | The end need not be the goal, as in the playing of a melody (and yet it must be completed) [Nietzsche] |
Full Idea: Not every end is the goal; the end of a melody is not its goal; and yet: as long as the melody has not reached its end, it also hasn't reached its goal. A parable. | |
From: Friedrich Nietzsche (The Wanderer and his Shadow [1880], §204) | |
A reaction: A nice message for Aristotle, that there is no simple separation of ends and means. |
1748 | Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius] |
Full Idea: Archelaus was the first person to say that the universe is boundless. | |
From: report of Archelaus (fragments/reports [c.450 BCE]) by Diogenes Laertius - Lives of Eminent Philosophers 02.Ar.3 |
5989 | Archelaus said life began in a primeval slime [Archelaus, by Schofield] |
Full Idea: Archelaus wrote that life on Earth began in a primeval slime. | |
From: report of Archelaus (fragments/reports [c.450 BCE]) by Malcolm Schofield - Archelaus | |
A reaction: This sounds like a fairly clearcut assertion of the production of life by evolution. Darwin's contribution was to propose the mechanism for achieving it. We should honour the name of Archelaus for this idea. |