17 ideas
| 6396 | A sentence is held true because of a combination of meaning and belief [Davidson] |
| 6299 | Axioms are often affirmed simply because they produce results which have been accepted [Resnik] |
| 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] |
| 11145 | Having a belief involves the possibility of being mistaken [Davidson] |
| 6397 | The concept of belief can only derive from relationship to a speech community [Davidson] |
| 6392 | Thought depends on speech [Davidson] |
| 6393 | A creature doesn't think unless it interprets another's speech [Davidson] |
| 11144 | Concepts are only possible in a language community [Davidson] |
| 6395 | An understood sentence can be used for almost anything; it isn't language if it has only one use [Davidson] |
| 6394 | The pattern of sentences held true gives sentences their meaning [Davidson] |
| 468 | Musical performance can reveal a range of virtues [Damon of Ath.] |