8 ideas
| 8203 | All the arithmetical entities can be reduced to classes of integers, and hence to sets [Quine] |
| Full Idea: The arithmetic of ratios and irrational and imaginary numbers can all be reduced by definition to the theory of classes of positive integers, and this can in turn be reduced to pure set theory. | |
| From: Willard Quine (Vagaries of Definition [1972], p.53) | |
| A reaction: This summarises Quine's ontology of mathematics, which tries to eliminate virtually everything, but has to affirm the existence of sets. Can you count sets and their members, if the sets are used to define the numbers? |
| 8202 | Meaning is essence divorced from things and wedded to words [Quine] |
| Full Idea: Meaning is essence divorced from the thing and wedded to the word. | |
| From: Willard Quine (Vagaries of Definition [1972], p.51) | |
| A reaction: Quine's strategy is that a demolition of essences will be a definition of meaning. Personally I would like to defend essences, though I admit to finding meaning tricky. That is because essences are external, but meanings are in minds. |
| 8201 | The distinction between meaning and further information is as vague as the essence/accident distinction [Quine] |
| Full Idea: The distinction between what belongs to the meaning of a word and what counts as further information is scarcely clearer than the distinction between the essence of a thing and its accidents. | |
| From: Willard Quine (Vagaries of Definition [1972], p.51) | |
| A reaction: In lots of cases the distinction between essence and accident strikes me as totally clear. Tricky borderline cases don't destroy a distinction. That bachelors are married is clearly not 'further information'. |
| 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. |
| 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. |
| 13304 | Learned men gain more in one day than others do in a lifetime [Posidonius] |
| Full Idea: In a single day there lies open to men of learning more than there ever does to the unenlightened in the longest of lifetimes. | |
| From: Posidonius (fragments/reports [c.95 BCE]), quoted by Seneca the Younger - Letters from a Stoic 078 | |
| A reaction: These remarks endorsing the infinite superiority of the educated to the uneducated seem to have been popular in late antiquity. It tends to be the religions which discourage great learning, especially in their emphasis on a single book. |
| 20820 | Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus] |
| Full Idea: Posidonius defined time thus: it is an interval of motion, or the measure of speed and slowness. | |
| From: report of Posidonius (fragments/reports [c.95 BCE]) by John Stobaeus - Anthology 1.08.42 | |
| A reaction: Hm. Can we define motion or speed without alluding to time? Looks like we have to define them as a conjoined pair, which means we cannot fully understand either of them. |