17 ideas
9143 | Implicit definitions must be satisfiable, creative definitions introduce things, contextual definitions build on things [Fine,K, by Cook/Ebert] |
10143 | 'Creative definitions' do not presuppose the existence of the objects defined [Fine,K] |
16030 | 'Nominal' definitions identify things, but fail to give their essence [Jones,J-E] |
10145 | Abstracts cannot be identified with sets [Fine,K] |
10136 | Points in Euclidean space are abstract objects, but not introduced by abstraction [Fine,K] |
10144 | Postulationism says avoid abstract objects by giving procedures that produce truth [Fine,K] |
22142 | In future, only logical limits can be placed on divine omnipotence [Anon (Par), by Boulter] |
16716 | It is heresy to require self-evident foundational principles in order to be certain [Anon (Par)] |
9144 | Fine's 'procedural postulationism' uses creative definitions, but avoids abstract ontology [Fine,K, by Cook/Ebert] |
10141 | Many different kinds of mathematical objects can be regarded as forms of abstraction [Fine,K] |
10135 | We can abstract from concepts (e.g. to number) and from objects (e.g. to direction) [Fine,K] |
9142 | Fine considers abstraction as reconceptualization, to produce new senses by analysing given senses [Fine,K, by Cook/Ebert] |
10137 | Abstractionism can be regarded as an alternative to set theory [Fine,K] |
10138 | An object is the abstract of a concept with respect to a relation on concepts [Fine,K] |
1866 | It is heresy to teach that history repeats every 36,000 years [Anon (Par)] |
1865 | It is heresy to teach that natural impossibilities cannot even be achieved by God [Anon (Par)] |
1864 | It is heresy to teach that we can know God by his essence in this mortal life [Anon (Par)] |