Forum:Save the oodles?

The idea of oodles is that every collection of oodles is also an oodle, e.g. oodle of all oodles, which in this case contains itself. Unfortunately, there is nothing stopping us from taking exactly the oodles which do not contain themselves, and forming an oodle out of them. The question if this oodle contains itself leads to Russell's paradox.

The theory of oodles is equivalent to naive set theory, which is a well-known example of inconsistent theory. The way of saving that theory is making restrictions to allowed sets. However, this is a syntactic restriction which can be considered "unnatural".

Do any of you have ideas on how to modify oodles so that they become consistent? LittlePeng9 (talk) 04:58, October 20, 2014 (UTC)