20 ideas
15957 | Essential definitions show the differences that discriminate things, and make them what they are [Boyle] |
23445 | Naïve set theory says any formula defines a set, and coextensive sets are identical [Linnebo] |
23447 | In classical semantics singular terms refer, and quantifiers range over domains [Linnebo] |
23443 | The axioms of group theory are not assertions, but a definition of a structure [Linnebo] |
23444 | To investigate axiomatic theories, mathematics needs its own foundational axioms [Linnebo] |
23446 | You can't prove consistency using a weaker theory, but you can use a consistent theory [Linnebo] |
23448 | Mathematics is the study of all possible patterns, and is thus bound to describe the world [Linnebo] |
23441 | Logical truth is true in all models, so mathematical objects can't be purely logical [Linnebo] |
23442 | Game Formalism has no semantics, and Term Formalism reduces the semantics [Linnebo] |
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] |
15960 | Explanation is deducing a phenomenon from some nature better known to us [Boyle] |
13304 | Learned men gain more in one day than others do in a lifetime [Posidonius] |
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] |
20820 | Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus] |