16 ideas
11178 | The essence or definition of an essence involves either a class of properties or a class of propositions [Fine,K] |
10282 | Logic is the study of sound argument, or of certain artificial languages (or applying the latter to the former) [Hodges,W] |
11175 | Logical concepts rest on certain inferences, not on facts about implications [Fine,K] |
11176 | The property of Property Abstraction says any suitable condition must imply a property [Fine,K] |
10283 | A formula needs an 'interpretation' of its constants, and a 'valuation' of its variables [Hodges,W] |
10284 | There are three different standard presentations of semantics [Hodges,W] |
10285 | I |= φ means that the formula φ is true in the interpretation I [Hodges,W] |
11174 | A logical truth is true in virtue of the nature of the logical concepts [Fine,K] |
10288 | Down Löwenheim-Skolem: if a countable language has a consistent theory, that has a countable model [Hodges,W] |
10289 | Up Löwenheim-Skolem: if infinite models, then arbitrarily large models [Hodges,W] |
10287 | If a first-order theory entails a sentence, there is a finite subset of the theory which entails it [Hodges,W] |
13007 | Archimedes defined a straight line as the shortest distance between two points [Archimedes, by Leibniz] |
10286 | A 'set' is a mathematically well-behaved class [Hodges,W] |
11177 | Can the essence of an object circularly involve itself, or involve another object? [Fine,K] |
11173 | Being a man is a consequence of his essence, not constitutive of it [Fine,K] |
11179 | If there are alternative definitions, then we have three possibilities for essence [Fine,K] |