display all the ideas for this combination of texts
2 ideas
16449 | In modal set theory, sets only exist in a possible world if that world contains all of its members [Stalnaker] |
Full Idea: One principle of modal set theory should be uncontroversial: a set exists in a given possible world if and only if all of its members exist at that world. | |
From: Robert C. Stalnaker (Mere Possibilities [2012], 2.4) | |
A reaction: Does this mean there can be no set containing all of my ancestors and future descendants? In no world can we coexist. |
10304 | Very few things in set theory remain valid in intuitionist mathematics [Bernays] |
Full Idea: Very few things in set theory remain valid in intuitionist mathematics. | |
From: Paul Bernays (On Platonism in Mathematics [1934]) |