Timeline for Why should we care about "higher infinities" outside of set theory?
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Aug 28, 2015 at 13:17 | comment | added | Jim Conant | Excellent answer as always, @JoelDavidHamkins. I feel like I understand set theory and logic issues so much better after reading your many answers on MathOverflow. | |
| Aug 28, 2015 at 13:09 | comment | added | Joel David Hamkins | Kanamori's book The Higher Infinite is a great read for a graduate introduction to large cardinals. | |
| Aug 28, 2015 at 2:21 | comment | added | user5794 | Given that my knowledge is definitely beginning grad level, I found Jech's Set Theory (2000) to fill the bill nicely on large cardinal theory. Much is still way over my head, but the core ideas are reachable to non-set theorists. | |
| Aug 28, 2015 at 0:37 | comment | added | Cosmonut | Thanks a lot for the very comprehensive answer and links. I guess the answer to my question would be "The cardinality-challenged mathematician would get along just fine since a very large part of 'regular math' can be done with weaker versions of set theory without crazy multiplicities of uncountable cardinals" Large cardinal theory sounds very intriguing. Are there any good books at the advanced undergrad/beginning grad level I could learn it from ? | |
| Aug 27, 2015 at 23:08 | vote | accept | Cosmonut | ||
| Aug 27, 2015 at 7:22 | history | answered | Joel David Hamkins | CC BY-SA 3.0 |