22 ideas
13201 | ∈ says the whole set is in the other; ⊆ says the members of the subset are in the other [Enderton] |
13206 | A 'linear or total ordering' must be transitive and satisfy trichotomy [Enderton] |
13204 | The 'ordered pair' <x,y> is defined to be {{x}, {x,y}} [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] |
16554 | Activities have place, rate, duration, entities, properties, modes, direction, polarity, energy and range [Machamer/Darden/Craver] |
16556 | Penicillin causes nothing; the cause is what penicillin does [Machamer/Darden/Craver] |
16562 | We understand something by presenting its low-level entities and activities [Machamer/Darden/Craver] |
16563 | The explanation is not the regularity, but the activity sustaining it [Machamer/Darden/Craver] |
16555 | Functions are not properties of objects, they are activities contributing to mechanisms [Machamer/Darden/Craver] |
16529 | Mechanisms are systems organised to produce regular change [Machamer/Darden/Craver] |
16530 | A mechanism explains a phenomenon by showing how it was produced [Machamer/Darden/Craver] |
16553 | Our account of mechanism combines both entities and activities [Machamer/Darden/Craver] |
16559 | Descriptions of explanatory mechanisms have a bottom level, where going further is irrelevant [Machamer/Darden/Craver] |
16528 | Mechanisms are not just push-pull systems [Machamer/Darden/Craver] |
16564 | There are four types of bottom-level activities which will explain phenomena [Machamer/Darden/Craver] |
16561 | We can abstract by taking an exemplary case and ignoring the detail [Machamer/Darden/Craver] |
17722 | The concept 'red' is tied to what actually individuates red things [Peacocke] |
16558 | Laws of nature have very little application in biology [Machamer/Darden/Craver] |