display all the ideas for this combination of texts
2 ideas
10594 | Henkin semantics is more plausible for plural logic than for second-order logic [Maddy] |
Full Idea: Henkin-style semantics seem to me more plausible for plural logic than for second-order logic. | |
From: Penelope Maddy (Second Philosophy [2007], III.8 n1) | |
A reaction: Henkin-style semantics are presented by Shapiro as the standard semantics for second-order logic. |
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. |