15 ideas
| 17990 | Instances of minimal truth miss out propositions inexpressible in current English [Hofweber] |
| 13201 | ∈ says the whole set is in the other; ⊆ says the members of the subset are in the other [Enderton] |
| 13204 | The 'ordered pair' <x,y> is defined to be {{x}, {x,y}} [Enderton] |
| 13206 | A 'linear or total ordering' must be transitive and satisfy trichotomy [Enderton] |
| 13200 | Note that {Φ} =/= Φ, because Φ ∈ {Φ} but Φ ∉ Φ [Enderton] |
| 13199 | The empty set may look pointless, but many sets can be constructed from it [Enderton] |
| 13203 | The singleton is defined using the pairing axiom (as {x,x}) [Enderton] |
| 13202 | Fraenkel added Replacement, to give a theory of ordinal numbers [Enderton] |
| 13205 | We can only define functions if Choice tells us which items are involved [Enderton] |
| 17988 | Quantification can't all be substitutional; some reference is obviously to objects [Hofweber] |
| 8203 | All the arithmetical entities can be reduced to classes of integers, and hence to sets [Quine] |
| 17989 | Since properties have properties, there can be a typed or a type-free theory of them [Hofweber] |
| 8202 | Meaning is essence divorced from things and wedded to words [Quine] |
| 8201 | The distinction between meaning and further information is as vague as the essence/accident distinction [Quine] |
| 17991 | Holism says language can't be translated; the expressibility hypothesis says everything can [Hofweber] |