16 ideas
| 22026 | Philosophy is homesickness - the urge to be at home everywhere [Novalis] |
| 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] |
| 19591 | Desire for perfection is an illness, if it turns against what is imperfect [Novalis] |
| 7602 | In the Bible God changes his mind (repenting of creating humanity, in the Flood) [Armstrong,K] |
| 7605 | Monotheism introduced intolerance into religious thinking [Armstrong,K] |
| 7599 | Around 800 BCE teachers superseded gods in India [Armstrong,K] |
| 7597 | There is virtually no sign of monotheism in the Pentateuch [Armstrong,K] |
| 7606 | The idea that Jesus was God was only settled in the fourth century [Armstrong,K] |
| 7596 | Faith is not just belief in propositions, but also putting trust in them [Armstrong,K] |