6 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. |
| 6457 | Sensations are mental, but sense-data could be mind-independent [Vesey] |
| Full Idea: Whereas a sensation is by definition mental, a sense-datum might be mind-independent. | |
| From: Godfrey Vesey (Collins Dictionary of Philosophy [1990], p.266) | |
| A reaction: This seems to be what Russell is getting at in 1912, as he clearly separates sense-data from sensations. Discussions of sense-data always assume they are mental, which may make them redundant - but so might making them physical. |
| 7506 | God made man in his own image [Anon (Tor)] |
| Full Idea: And God said, let us make man in our image, after our likeness. | |
| From: Anon (Tor) (01: Book of Genesis [c.750 BCE], 1.26) | |
| A reaction: Since we are obviously not identical in every way with God, we can presumably choose in which respects we think of ourselves as being like Him. Reason, understanding, beauty, goodness, consciousness? A troublesome verse, challenged by Darwin. |
| 16782 | The names of all the types of creature were given forever by Adam [Anon (Tor)] |
| Full Idea: Whatsoever Adam called any living creature, the same is its name. And Adam called all the beasts by their names, and all the fowls of the air, and all the cattle of the field. | |
| From: Anon (Tor) (01: Book of Genesis [c.750 BCE], 02:20) |
| 4013 | And God saw the light, that it was good [Anon (Tor)] |
| Full Idea: And God saw the light, that it was good. | |
| From: Anon (Tor) (01: Book of Genesis [c.750 BCE], 01.04) | |
| A reaction: The text seems to suggest that God did not decide that it was good, but that it conformed to a standard of goodness. |