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Aug 15, 2011 at 12:29 comment added Asaf Karagila Joel, Todd: Very well. I was not aware of this social convention, and the post begins with "I wanted to post a comment, but I don't have enough reputation.", now ftonti has enough reputation so the next time he could choose to write an answer or leave a comment. :-)
Aug 15, 2011 at 12:08 comment added Todd Trimble I agree with Joel. So, +1 to ftonti.
Aug 15, 2011 at 11:58 comment added Joel David Hamkins Asaf, it is fine for ftonti to post a comment like this, when lacking sufficient rep to post a proper comment; my understanding is that our MO policy specifically allows this, and when the comment is worthwhile, as here, then this is often a good way to earn the necessary reputation.
Aug 15, 2011 at 11:47 comment added Andrés E. Caicedo Yes, this has been pointed out a few times in answers to other questions here at MO: The existence of an $\omega$-model, i.e., one whose $\omega$ is isomorphic to the $\omega$ of the underlying universe, implies Con(ZFC), Con(ZFC+Con(ZFC)), Con(ZFC+Con(...)), etc. In turn, the existence of a transitive model implies the existence of an $\omega$-model, and an omega-model of "there is an $\omega$-model" etc. The existence of a transitive model is strictly weaker than the existence of a $\lambda$ such that $V_\lambda$ is a model, and this is strictly weaker than the existence of an inaccessible.
Aug 15, 2011 at 11:42 comment added Asaf Karagila Why not wait a bit more until you have the proper reputation to comment instead? You're not that far away...
Aug 15, 2011 at 11:39 history answered ftonti CC BY-SA 3.0