6 ideas
| 10855 | Actual infinities are not allowed in mathematics - only limits which may increase without bound [Gauss] |
| Full Idea: I protest against the use of an infinite quantity as an actual entity; this is never allowed in mathematics. The infinite is only a manner of speaking, in which one properly speaks of limits ...which are permitted to increase without bound. | |
| From: Carl Friedrich Gauss (Letter to Shumacher [1831]), quoted by Brian Clegg - Infinity: Quest to Think the Unthinkable Ch.7 |
| 1748 | Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius] |
| Full Idea: Archelaus was the first person to say that the universe is boundless. | |
| From: report of Archelaus (fragments/reports [c.450 BCE]) by Diogenes Laertius - Lives of Eminent Philosophers 02.Ar.3 |
| 22974 | Presentists lack the materials for a realist view of change [Price,H] |
| Full Idea: The presentist view seems to have lost the materials for a realist view of passage, change or temporal transition. | |
| From: Huw Price (The Flow of Time [2011], 2) | |
| A reaction: It is a nice point. How can a presentist talk of change if the only component that exists is the present time slice? Price says change can only be a kind of fiction for the presentist. Change in existence and in properties are distinct concepts. |
| 22973 | The present moment, time's direction, and time's dynamic quality seem to be objective facts [Price,H] |
| Full Idea: The flow of time seems to be an objective feature of reality because of 1) the present moment can be objectively distinguished, 2) time has an objective direction, of earlier and later, and 3) there is something objectively dynamic about time. | |
| From: Huw Price (The Flow of Time [2011], 1.1) | |
| A reaction: Price sets out to undermine all three of these claims, in implicit defence of a psychological view. I disagree with him. |
| 22975 | We must explain either the existence of a time direction, or our psychological sense of it [Price,H] |
| Full Idea: If the world comes equipped with a time orientation, where does it come from? If it doesn't, what explains our psychological feeling of a direction for time? | |
| From: Huw Price (The Flow of Time [2011], 3.5) | |
| A reaction: The chances of 'explaining' either one look slim to me. That is, the fact would explain our experience, but the experience without the fact looks ridiculous, and I cannot conceive of any time-free entity which could explain the fact. |
| 5989 | Archelaus said life began in a primeval slime [Archelaus, by Schofield] |
| Full Idea: Archelaus wrote that life on Earth began in a primeval slime. | |
| From: report of Archelaus (fragments/reports [c.450 BCE]) by Malcolm Schofield - Archelaus | |
| A reaction: This sounds like a fairly clearcut assertion of the production of life by evolution. Darwin's contribution was to propose the mechanism for achieving it. We should honour the name of Archelaus for this idea. |