7 ideas
| 8921 | Structuralism is now common, studying relations, with no regard for what the objects might be [Hellman] |
| Full Idea: With developments in modern mathematics, structuralist ideas have become commonplace. We study 'abstract structures', having relations without regard to the objects. As Hilbert famously said, items of furniture would do. | |
| From: Geoffrey Hellman (Structuralism [2007], §1) | |
| A reaction: Hilbert is known as a Formalist, which suggests that modern Structuralism is a refined and more naturalist version of the rather austere formalist view. Presumably the sofa can't stand for six, so a structural definition of numbers is needed. |
| 8922 | Maybe mathematical objects only have structural roles, and no intrinsic nature [Hellman] |
| Full Idea: There is the tantalizing possibility that perhaps mathematical objects 'have no nature' at all, beyond their 'structural role'. | |
| From: Geoffrey Hellman (Structuralism [2007], §1) | |
| A reaction: This would fit with a number being a function rather than an object. We are interested in what cars do, not the bolts that hold them together? But the ontology of mathematics is quite separate from how you do mathematics. |
| 541 | Virtue comes more from habit than character [Critias] |
| Full Idea: More men are good through habit than through character. | |
| From: Critias (fragments/reports [c.440 BCE], B09), quoted by John Stobaeus - Anthology 3.29.41 |
| 20575 | Socialist economics needs a very strong central power, virtually leading to slavery [Hayek, by Oksala] |
| Full Idea: Hayek argues that socialist economic equality can only be effectively put into practice by a strong, dictatorial government. Planning has to be imposed by force, and centralised economic power creates a dependency scarcely distingishable from slavery. | |
| From: report of F.A. Hayek (The Road to Serfdom [1944]) by Johanna Oksala - Political Philosophy: all that matters Ch.7 | |
| A reaction: I don't see much sign of the post-war British Labour government being anything like this, even though they nationalised the railways and introduce a national health service. Hayek was mesmerised by Russia. |
| 22599 | Hayek was a liberal, but mainly concerned with market freedom [Hayek, by Dunt] |
| Full Idea: Hayek was a liberal (rather than a conservative), …but the individual liberty he cared about was not diversity or freedom of thought. It was freedom to operate in the market. | |
| From: report of F.A. Hayek (The Road to Serfdom [1944]) by Ian Dunt - How to be a Liberal 7 | |
| A reaction: There seems to have been a drift from obsession with freedom to participate in the market, towards the less plausible idea that market forces can solve everything. I once met someone who was convinced the market could solve environmental problems. |
| 22600 | Impeding the market is likely to lead to extensive state control [Hayek] |
| Full Idea: Once the free working of the market is impeded beyond a certain degree, the planner will be forced to extend his controls until they become all comprehensive. | |
| From: F.A. Hayek (The Road to Serfdom [1944]), quoted by Ian Dunt - How to be a Liberal 7 | |
| A reaction: Hayek was terrified of totalitarianism (quite reasonably), but fascism and communism don't seem to have arisen in the way he describes. I'm not clear why sensible intervention in the market should slide down into nightmare. |
| 542 | Fear of the gods was invented to discourage secret sin [Critias] |
| Full Idea: When the laws forbade men to commit open crimes of violence, and they began to do them in secret, a wise and clever man invented fear of the gods for mortals, to frighten the wicked, even if they sin in secret. | |
| From: Critias (fragments/reports [c.440 BCE], B25), quoted by Sextus Empiricus - Against the Professors (six books) 9.54 |