5 ideas
| 9879 | NF has no models, but just blocks the comprehension axiom, to avoid contradictions [Quine, by Dummett] |
| Full Idea: Quine's New Foundations system of set theory, devised with no model in mind, but on the basis of a hunch that a purely formal restriction on the comprehension axiom would block all contradictions. | |
| From: report of Willard Quine (New Foundations for Mathematical Logic [1937]) by Michael Dummett - Frege philosophy of mathematics Ch.18 | |
| A reaction: The point is that Quine (who had an ontological preference for 'desert landscapes') attempted to do without an ontological commitment to objects (and their subsequent models), with a purely formal system. Quine's NF is not now highly regarded. |
| 21796 | Man is God if he raises himself, by denying his nature and finitude [Hegel] |
| Full Idea: Man is only God in so far as he negates the natural existence and finitude of his spirit and raises himself to God. | |
| From: Georg W.F.Hegel (The Philosophy of History [1840], p.324), quoted by Stephen Houlgate - An Introduction to Hegel 10 'God' | |
| A reaction: I suspect that it was ideas like this which motivated Nietzsche - denial of what we are, in the name of some idle daydream. I personally have no idea how to negate my natural existence or my finitude. |
| 7825 | The politics of Leibniz was the reunification of Christianity [Stewart,M] |
| Full Idea: The politics of Leibniz may be summed up in one word: theocracy. The specific agenda motivating much of his work was to reunite the Protestant and Catholic churches | |
| From: Matthew Stewart (The Courtier and the Heretic [2007], Ch. 5) | |
| A reaction: This would be a typical project for a rationalist philosopher, who thinks that good reasoning will gradually converge on the one truth. |
| 21783 | State slavery is a phase of education, moving towards a full culture [Hegel] |
| Full Idea: Because slavery exists in states, it is a phase of advance from the merely isolated sensual existence - a phase of education - a mode of becoming participant in a higher morality and the culture connected with it. | |
| From: Georg W.F.Hegel (The Philosophy of History [1840], p.98), quoted by Stephen Houlgate - An Introduction to Hegel 08 'Rights' | |
| A reaction: [He adds that slavery should be removed slowly, not suddenly] A nicely provocative thought. Is it better to participate in something grand (like pyramid building) as a slave, or drift in dull isolation? How long should this 'phase' last? |
| 21784 | Slavery is unjust, because humanity is essentially free [Hegel] |
| Full Idea: Slavery is in and for itself an injustice, for the essence of humanity is freedom. | |
| From: Georg W.F.Hegel (The Philosophy of History [1840], p.99), quoted by Stephen Houlgate - An Introduction to Hegel 08 'Rights' | |
| A reaction: This is a corrective to Idea 12783, which offers a defence of the reality of historical slavery. That seemed to depend on some notion that each phase of history is necessary, which is implausible. |