5 ideas
| 15716 | If axioms and their implications have no contradictions, they pass my criterion of truth and existence [Hilbert] |
| Full Idea: If the arbitrarily given axioms do not contradict each other with all their consequences, then they are true and the things defined by the axioms exist. For me this is the criterion of truth and existence. | |
| From: David Hilbert (Letter to Frege 29.12.1899 [1899]), quoted by R Kaplan / E Kaplan - The Art of the Infinite 2 'Mind' | |
| A reaction: If an axiom says something equivalent to 'fairies exist, but they are totally undetectable', this would seem to avoid contradiction with anything, and hence be true. Hilbert's idea sounds crazy to me. He developed full Formalism later. |
| 19518 | Evidentialism says justifications supervene on the available evidence [Conee/Feldman] |
| Full Idea: Fundamentally Evidentialism is a supervenience thesis, according to which facts about whether or not a person is justified in believing a proposition supervene on facts describing the evidence the person has. | |
| From: E Conee / R Feldman (Introduction to 'Evidentialism' [2004], p.1) | |
| A reaction: If facts 'describe', does that make them linguistic? That's not how I use 'facts'. A statement of a fact is not the same as the fact. An ugly fact can be beautifully expressed. I am, however, in favour of evidence. |
| 19519 | Rational decisions are either taken to be based on evidence, or to be explained causally [Conee/Feldman] |
| Full Idea: In decision theory, there is a view according to which the rational basis for all decisions is evidential. This kind of decision theory is typically contrasted with causal decision theory. | |
| From: E Conee / R Feldman (Introduction to 'Evidentialism' [2004], p.3) | |
| A reaction: Your Kantian presumably likes rational reflection on evidence, and your modern reductive scientist prefers causality (which doesn't really sound very rational). |
| 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 |
| 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. |