This is the last homework assignment of the term: Assume Evaluate the cardinal number the size of the set of all functions
This is the last homework assignment of the term: Assume Evaluate the cardinal number the size of the set of all functions
This entry was posted on Wednesday, December 9th, 2009 at 10:09 pm and is filed under 502: Logic and set theory. You can follow any responses to this entry through the RSS 2.0 feed. You can leave a response, or trackback from your own site.
May we assume GCH here, or just CH?
suffices, but feel free to assume if it helps.
With GCH, I think the problem is too easy, but I don’t know how I can use just CH. I have it bounded between and
Here is a hint: If then So, we can write the set of functions from into as a union of many sets, the -th one being the set of functions from into Now, note that