7 ideas
| 21554 | Sets always exceed terms, so all the sets must exceed all the sets [Lackey] |
| Full Idea: Cantor proved that the number of sets in a collection of terms is larger than the number of terms. Hence Cantor's Paradox says the number of sets in the collection of all sets must be larger than the number of sets in the collection of all sets. | |
| From: Douglas Lackey (Intros to Russell's 'Essays in Analysis' [1973], p.127) | |
| A reaction: The sets must count as terms in the next iteration, but that is a normal application of the Power Set axiom. |
| 21553 | It seems that the ordinal number of all the ordinals must be bigger than itself [Lackey] |
| Full Idea: The ordinal series is well-ordered and thus has an ordinal number, and a series of ordinals to a given ordinal exceeds that ordinal by 1. So the series of all ordinals has an ordinal number that exceeds its own ordinal number by 1. | |
| From: Douglas Lackey (Intros to Russell's 'Essays in Analysis' [1973], p.127) | |
| A reaction: Formulated by Burali-Forti in 1897. |
| 19480 | Process philosophy places the dynamic nature of being at the centre of our theories [Seibt] |
| Full Idea: Process philosophy is based on the premise that being is dynamic and that the dynamic nature of being should be the primary focus of any comprehensive philosophical account of reality and our place within it. | |
| From: Johanna Seibt (Process Philosophy [2012], Intro) | |
| A reaction: Put like that, the chief ancestor of this approach would be Leibniz, even though his central idea concerns substances. Heraclitus is the most famous ancestor of Process Philosophy. Powers are dynamic, but powers of what? |
| 19479 | Reductionists identify processes by their 'owner', but tornadoes etc. are processes without owners [Seibt] |
| Full Idea: On the reductionist view of processes, they are all 'owned' and we identify them by their owner (such as the murder of Caesar), ...but many processes (e.g. tornadoes, lightning bolts, the NY rush hour) lack a proper 'subject' altogether. | |
| From: Johanna Seibt (Process Philosophy [2012], 2) | |
| A reaction: This seems to be a fairly conclusive refutation of the view that processes are just objects changing their properties. |
| 19481 | Traditionally small things add up to processes, but quantum mechanics reverses this [Seibt] |
| Full Idea: Instead of very small things (atoms) combining to produce standard processes (snowstorms), modern physics envisions very small processes (quantum phenomena) combining to produce standard things. | |
| From: Johanna Seibt (Process Philosophy [2012], 4 (i)) | |
| A reaction: Though electrons seem to be distinct things with a fixed set of properties, so this is not a clear point. Where do fields come into it? Beware of citing quantum mechanics in metaphysics! |
| 20422 | The experience of expression and communication are intermingled in art [Croce] |
| Full Idea: It is very difficult to perceive the frontier between expression and communication in actual fact, for the two processes usually alternate rapidly and are almost intermingled. | |
| From: Benedetto Croce (The Essence of Aesthetic [1912]), quoted by Gary Kemp - Croce and Collingwood | |
| A reaction: [text unsure] I think he is getting at seeing the painting (or whatever) as a physical object, and seeing it as the experience which results from the object. The alternation of the objective and subjective views. Reminds me of Thomas Nagel. |
| 7270 | Historical interpretation aims to recapture the author's view of the work [Croce] |
| Full Idea: Historical interpretation enables us to see a work of art as its author saw it in the moment of production. | |
| From: Benedetto Croce (Aesthetic as Science of Expression [1902], §II), quoted by W Wimsatt/W Beardsley - The Intentional Fallacy §II | |
| A reaction: Wimsatt and Beardsley quote this as the romantic antithesis of their own view, but there is a blurring between understanding a work and judging. Personally I consider intentions essential for understanding, and valuable for judgement. |