17 ideas
| 11178 | The essence or definition of an essence involves either a class of properties or a class of propositions [Fine,K] |
| 6299 | Axioms are often affirmed simply because they produce results which have been accepted [Resnik] |
| 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] |
| 11174 | A logical truth is true in virtue of the nature of the logical concepts [Fine,K] |
| 6304 | Mathematical realism says that maths exists, is largely true, and is independent of proofs [Resnik] |
| 6300 | Mathematical constants and quantifiers only exist as locations within structures or patterns [Resnik] |
| 6303 | Sets are positions in patterns [Resnik] |
| 6295 | There are too many mathematical objects for them all to be mental or physical [Resnik] |
| 6296 | Maths is pattern recognition and representation, and its truth and proofs are based on these [Resnik] |
| 6301 | Congruence is the strongest relationship of patterns, equivalence comes next, and mutual occurrence is the weakest [Resnik] |
| 6302 | Structuralism must explain why a triangle is a whole, and not a random set of points [Resnik] |
| 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] |
| 1748 | Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius] |
| 5989 | Archelaus said life began in a primeval slime [Archelaus, by Schofield] |