22 ideas
12104 | All ideas must be understood historically [Comte] |
12105 | Our knowledge starts in theology, passes through metaphysics, and ends in positivism [Comte] |
12112 | Metaphysics is just the oversubtle qualification of abstract names for phenomena [Comte] |
12106 | Positivism gives up absolute truth, and seeks phenomenal laws, by reason and observation [Comte] |
12111 | Positivism is the final state of human intelligence [Comte] |
12114 | Science can drown in detail, so we need broad scientists (to keep out the metaphysicians) [Comte] |
12116 | Only positivist philosophy can terminate modern social crises [Comte] |
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] |
12108 | All real knowledge rests on observed facts [Comte] |
12109 | We must observe in order to form theories, but connected observations need prior theories [Comte] |
12107 | Positivism explains facts by connecting particular phenomena with general facts [Comte] |
12115 | Introspection is pure illusion; we can obviously observe everything except ourselves [Comte] |
468 | Musical performance can reveal a range of virtues [Damon of Ath.] |
12113 | The search for first or final causes is futile [Comte] |
12110 | We can never know origins, purposes or inner natures [Comte] |