4 ideas
| 18244 | I say the irrational is not the cut itself, but a new creation which corresponds to the cut [Dedekind] |
| Full Idea: Of my theory of irrationals you say that the irrational number is nothing else than the cut itself, whereas I prefer to create something new (different from the cut), which corresponds to the cut. We have the right to claim such a creative power. | |
| From: Richard Dedekind (Letter to Weber [1888], 1888 Jan), quoted by Stewart Shapiro - Philosophy of Mathematics 5.4 | |
| A reaction: Clearly a cut will not locate a unique irrational number, so something more needs to be done. Shapiro remarks here that for Dedekind numbers are objects. |
| 8130 | Qualities of experience are just representational aspects of experience ('Representationalism') [Harman, by Burge] |
| Full Idea: Harman defended what came to be known as 'representationalism' - the view that qualitative aspects of experience are nothing other than representational aspects. | |
| From: report of Gilbert Harman (The Intrinsic Quality of Experience [1990]) by Tyler Burge - Philosophy of Mind: 1950-2000 p.459 | |
| A reaction: Functionalists like Harman have a fairly intractable problem with the qualities of experience, and this may be clutching at straws. What does 'represent' mean? How is the representation achieved? Why that particular quale? |
| 13965 | Semantics as theory of meaning and semantics as truth-based logical consequence are very different [Soames] |
| Full Idea: There are two senses of 'semantic' - as theory of meaning or as truth-based theory of logical consequence, and they are very different. | |
| From: Scott Soames (Why Propositions Aren't Truth-Supporting Circumstance [2008], p.78) | |
| A reaction: This subtle point is significant in considering the role of logic in philosophy. The logicians' semantics (based on logical consequence) is in danger of ousting the broader and more elusive notion of meaning in natural language. |
| 13964 | Semantic content is a proposition made of sentence constituents (not some set of circumstances) [Soames] |
| Full Idea: The semantic content of a sentence is not the set of circumstances supporting its truth. It is rather the semantic content of a structured proposition the constituents of which are the semantic contents of the constituents of the sentence. | |
| From: Scott Soames (Why Propositions Aren't Truth-Supporting Circumstance [2008], p.74) | |
| A reaction: I'm not sure I get this, but while I like the truth-conditions view, I am suspicious of any proposal that the semantic content of something is some actual physical ingredients of the world. Meanings aren't sticks and stones. |