15 ideas
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] |
12312 | The real essence of a thing is its powers, or 'dispositional properties' [Copi] |
10937 | Essential properties are the 'deepest' ones which explain the others [Copi, by Rami] |
12308 | In modern science, nominal essence is intended to be real essence [Copi] |
12303 | Within the four types of change, essential attributes are those whose loss means destruction [Copi] |
7903 | The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna] |
12307 | Modern science seeks essences, and is getting closer to them [Copi] |
12310 | Real essences are scientifically knowable, but so are non-essential properties [Copi] |