display all the ideas for this combination of philosophers
2 ideas
21548 | The null class is the class with all the non-existents as its members [MacColl, by Lackey] |
Full Idea: In 1905 the Scottish logician Hugh MacColl published a paper in which he argued that the null class in logic should be taken as the class with all the non-existents as its members. | |
From: report of Hugh MacColl (Symbolic Reasoning [1905]) by Douglas Lackey - Intros to Russell's 'Essays in Analysis' p.95 | |
A reaction: For the null object (zero) Frege just chose one sample concept with an empty extension. MacColl's set seems to have a lot of members, given that it is 'null'. How many, I wonder? Russell responded to this paper. |
10405 | In the iterative conception of sets, they form a natural hierarchy [Swoyer] |
Full Idea: In the iterative conception of sets, they form a natural hierarchy. | |
From: Chris Swoyer (Properties [2000], 4.1) |