18 ideas
| 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] |
| 6302 | Structuralism must explain why a triangle is a whole, and not a random set of points [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] |
| 22049 | Transcendental idealism aims to explain objectivity through subjectivity [Bowie] |
| 22055 | The Idealists saw the same unexplained spontaneity in Kant's judgements and choices [Bowie] |
| 22054 | German Idealism tried to stop oppositions of appearances/things and receptivity/spontaneity [Bowie] |
| 22056 | Crucial to Idealism is the idea of continuity between receptivity and spontaneous judgement [Bowie] |
| 7602 | In the Bible God changes his mind (repenting of creating humanity, in the Flood) [Armstrong,K] |
| 7605 | Monotheism introduced intolerance into religious thinking [Armstrong,K] |
| 7599 | Around 800 BCE teachers superseded gods in India [Armstrong,K] |
| 7597 | There is virtually no sign of monotheism in the Pentateuch [Armstrong,K] |
| 7606 | The idea that Jesus was God was only settled in the fourth century [Armstrong,K] |
| 7596 | Faith is not just belief in propositions, but also putting trust in them [Armstrong,K] |