5 ideas
| 17743 | De Morgan introduced a 'universe of discourse', to replace Boole's universe of 'all things' [De Morgan, by Walicki] |
| Full Idea: In 1846 De Morgan introduced the enormously influential notion of a possibly arbitrary and stipulated 'universe of discourse'. It replaced Boole's original - and metaphysically a bit suspect - universe of 'all things'. | |
| From: report of Augustus De Morgan (works [1846]) by Michal Walicki - Introduction to Mathematical Logic History D.1.1 | |
| A reaction: This not only brings formal logic under control, but also reflects normal talk, because there is always an explicit or implicit domain of discourse when we talk. Of virtually any conversation, you can say what it is 'about'. |
| 17613 | We should judge principles by the science, not science by some fixed principles [Zermelo] |
| Full Idea: Principles must be judged from the point of view of science, and not science from the point of view of principles fixed once and for all. Geometry existed before Euclid's 'Elements', just as arithmetic and set theory did before Peano's 'Formulaire'. | |
| From: Ernst Zermelo (New Proof of Possibility of Well-Ordering [1908], §2a) | |
| A reaction: This shows why the axiomatisation of set theory is an ongoing and much-debated activity. |
| 21785 | We are only free, with rights, if we claim our freedom, and there are no natural rights [Hegel, by Houlgate] |
| Full Idea: Hegel says we are only truly free, and so bearers of rights, in so far as we claim our freedom. ...So there are no merely natural rights, and animal's have no rights. | |
| From: report of Georg W.F.Hegel (Lectures on the Philosophy of Right [1819], p.78) by Stephen Houlgate - An Introduction to Hegel 08 'Rights' | |
| A reaction: If there are no natural rights, then it is hard to see how claiming a right will create it. I can't create a right to drink the best champagne. It seems particularly unjust to deny rights to people so enslaved that freedom has never occurred to them. |
| 22041 | Representatives by region ignores whether they care about the national interest [Hegel, by Pinkard] |
| Full Idea: Selecting representatives on the basis of geography means selecting people without any regard to whether they represent the basic and important interests of the 'whole' of society. | |
| From: report of Georg W.F.Hegel (Lectures on the Philosophy of Right [1819]) by Terry Pinkard - German Philosophy 1760-1860 11 | |
| A reaction: Proportional representation seems to get away from this, but that can still be arranged according to large regions. Some means is needed to prevent the whole nation from exploitation a regional minority (such as Welsh speakers). |
| 21781 | The absolute right is the right to have rights [Hegel] |
| Full Idea: The absolute right is the right to have rights. | |
| From: Georg W.F.Hegel (Lectures on the Philosophy of Right [1819], p.127), quoted by Stephen Houlgate - An Introduction to Hegel 08 'Rights' | |
| A reaction: What a beautifully succinct and important idea! Does a foetus, or a dog, or a person in a vegetative state, or a slave, qualify? |