29 ideas
| 15957 | Essential definitions show the differences that discriminate things, and make them what they are [Boyle] |
| 10147 | The Axiom of Choice is consistent with the other axioms of set theory [Feferman/Feferman] |
| 10148 | Axiom of Choice: a set exists which chooses just one element each of any set of sets [Feferman/Feferman] |
| 10149 | Platonist will accept the Axiom of Choice, but others want criteria of selection or definition [Feferman/Feferman] |
| 10150 | The Trichotomy Principle is equivalent to the Axiom of Choice [Feferman/Feferman] |
| 10146 | Cantor's theories needed the Axiom of Choice, but it has led to great controversy [Feferman/Feferman] |
| 10158 | A structure is a 'model' when the axioms are true. So which of the structures are models? [Feferman/Feferman] |
| 10162 | Tarski and Vaught established the equivalence relations between first-order structures [Feferman/Feferman] |
| 10159 | Löwenheim-Skolem Theorem, and Gödel's completeness of first-order logic, the earliest model theory [Feferman/Feferman] |
| 10160 | Löwenheim-Skolem says if the sentences are countable, so is the model [Feferman/Feferman] |
| 10161 | If a sentence holds in every model of a theory, then it is logically derivable from the theory [Feferman/Feferman] |
| 10156 | 'Recursion theory' concerns what can be solved by computing machines [Feferman/Feferman] |
| 10155 | Both Principia Mathematica and Peano Arithmetic are undecidable [Feferman/Feferman] |
| 15965 | Boyle attacked a contemporary belief that powers were occult things [Boyle, by Alexander,P] |
| 16735 | In the 17th century, 'disposition' usually just means the spatial arrangement of parts [Boyle, by Pasnau] |
| 16034 | Form is not a separate substance, but just the manner, modification or 'stamp' of matter [Boyle] |
| 15953 | To cite a substantial form tells us what produced the effect, but not how it did it [Boyle] |
| 15962 | Boyle's term 'texture' is not something you feel, but is unobservable structures of particles [Boyle, by Alexander,P] |
| 15964 | Boyle's secondary qualities are not illusory, or 'in the mind' [Boyle, by Alexander,P] |
| 16736 | Explanation is generally to deduce it from something better known, which comes in degrees [Boyle] |
| 15960 | Explanation is deducing a phenomenon from some nature better known to us [Boyle] |
| 16737 | The best explanations get down to primary basics, but others go less deep [Boyle] |
| 20033 | Intentions are normative, requiring commitment and further plans [Bratman, by Wilson/Schpall] |
| 20034 | Intentions must be mutually consistent, affirm appropriate means, and fit the agent's beliefs [Bratman, by Wilson/Schpall] |
| 20026 | Intention is either the aim of an action, or a long-term constraint on what we can do [Bratman, by Wilson/Schpall] |
| 20032 | Bratman rejected reducing intentions to belief-desire, because they motivate, and have their own standards [Bratman, by Wilson/Schpall] |
| 15952 | The corpuscles just have shape, size and motion, which explains things without 'sympathies' or 'forces' [Boyle, by Alexander,P] |
| 15972 | The corpuscular theory allows motion, but does not include forces between the particles [Boyle, by Alexander,P] |
| 15961 | I don't see how mere moving matter can lead to the bodies of men and animals, and especially their seeds [Boyle] |