17 ideas
7460 | The great moments are the death of Aristotle, Machiavelli, and Romanticism [Berlin, by Watson] |
7662 | Romanticism is the greatest change in the consciousness of the West [Berlin] |
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] |
7295 | Maybe induction is only reliable IF reality is stable [Mitchell,A] |
7665 | Most Enlightenment thinkers believed that virtue consists ultimately in knowledge [Berlin] |
7676 | If we are essentially free wills, authenticity and sincerity are the highest virtues [Berlin] |
7664 | The Greeks have no notion of obligation or duty [Berlin] |
7677 | Central to existentialism is the romantic idea that there is nothing to lean on [Berlin] |
20544 | Berlin distinguishes 'negative' and 'positive' liberty, and rejects the latter [Berlin, by Swift] |
7663 | Judaism and Christianity views are based on paternal, family and tribal relations [Berlin] |