display all the ideas for this combination of texts
2 ideas
| 8729 | Intuitionists deny excluded middle, because it is committed to transcendent truth or objects [Shapiro] |
| Full Idea: Intuitionists in mathematics deny excluded middle, because it is symptomatic of faith in the transcendent existence of mathematical objects and/or the truth of mathematical statements. | |
| From: Stewart Shapiro (Thinking About Mathematics [2000], 1.2) | |
| A reaction: There are other problems with excluded middle, such as vagueness, but on the whole I, as a card-carrying 'realist', am committed to the law of excluded middle. |
| 10656 | With 'extensive connection', boundary elements are not included in domains [Whitehead, by Varzi] |
| Full Idea: In Whitehead's theory of extensive connection, no boundary elements are included in the domain of quantification. ...His conception of space contains no parts of lower dimensions, such as points or boundary elements. | |
| From: report of Alfred North Whitehead (Process and Reality [1929]) by Achille Varzi - Mereology 3.1 | |
| A reaction: [Varzi says we should see B.L.Clarke 1981 for a rigorous formulation. Second half of the Idea is Varzi p.21] |