20 ideas
| 8956 | What is a singleton set, if a set is meant to be a collection of objects? [Szabó] |
| 12797 | If plural variables have 'some values', then non-count variables have 'some value' [Laycock] |
| 12794 | Plurals are semantical but not ontological [Laycock] |
| 17694 | Some non-count nouns can be used for counting, as in 'several wines' or 'fewer cheeses' [Laycock] |
| 17695 | Some apparent non-count words can take plural forms, such as 'snows' or 'waters' [Laycock] |
| 10185 | Set theory is the standard background for modern mathematics [Burgess] |
| 10184 | Structuralists take the name 'R' of the reals to be a variable ranging over structures, not a structure [Burgess] |
| 10189 | There is no one relation for the real number 2, as relations differ in different models [Burgess] |
| 10186 | If set theory is used to define 'structure', we can't define set theory structurally [Burgess] |
| 10187 | Abstract algebra concerns relations between models, not common features of all the models [Burgess] |
| 10188 | How can mathematical relations be either internal, or external, or intrinsic? [Burgess] |
| 8953 | Abstract entities don't depend on their concrete entities ...but maybe on the totality of concrete things [Szabó] |
| 12792 | The category of stuff does not suit reference [Laycock] |
| 12799 | Descriptions of stuff are neither singular aggregates nor plural collections [Laycock] |
| 12818 | We shouldn't think some water retains its identity when it is mixed with air [Laycock] |
| 12795 | Parts must be of the same very general type as the wholes [Laycock] |
| 8954 | Geometrical circles cannot identify a circular paint patch, presumably because they lack something [Szabó] |
| 17696 | 'Humility is a virtue' has an abstract noun, but 'water is a liquid' has a generic concrete noun [Laycock] |
| 8955 | Abstractions are imperceptible, non-causal, and non-spatiotemporal (the third explaining the others) [Szabó] |
| 12791 | It is said that proper reference is our intellectual link with the world [Laycock] |