display all the ideas for this combination of texts
2 ideas
| 6163 | If bivalence is rejected, then excluded middle must also be rejected [Rowlands] |
| Full Idea: If you reject the principle of bivalence (that a proposition is either determinately true or false), then statements are also not subject to the Law of Excluded Middle (P or not-P). | |
| From: Mark Rowlands (Externalism [2003], Ch.3) | |
| A reaction: I think Rowlands is wrong about this. Excluded Middle could be purely syntacti, or its semantics could be 'True or Not-True'. Only bivalent excluded middle introduces 'True or False'. Compare Idea 4752. |
| 14232 | We normally formalise 'There are Fs' with singular quantification and predication, but this may be wrong [Liggins] |
| Full Idea: It is quite standard to interpret sentences of the form 'There are Fs' using a singular quantifier and a singular predicate, but this tradition may be mistaken. | |
| From: David Liggins (Nihilism without Self-Contradiction [2008], 8) | |
| A reaction: Liggins is clearly in support of the use of plural quantification, referring to 'there are some xs such that'. |