[FOM] Survey results for Universism/Multiversism

[Neil Barton]

Dear all,

Thanks to those of you who filled in my super-rigorous survey. If you'd
still like to contribute, the link is:

https://www.surveymonkey.com/r/7K6H52M

In the next week, I'll open it up on social media. The post-FOM results are
as follows:

Answer Choices–
Responses–
–
Yes.
25.00%
8
–
No. There are maximal universes, but they are incompatible (our set-concept
bifurcates).
3.13%
1
–
No. There are many universes extending each other in height. The powerset
operation is determinate, and there is an unbounded sequence of universes,
each of which is a rank initial segment of the next.
18.75%
6
–
No. There are many universes extending each other in width. Privileged
universes contain all the ordinals, but the powerset operation in not
determinate.
3.13%
1
–
No. There are many universes, and any universe can be extended in both
height and width. The (set-theoretic representatives of) natural numbers
are determinate though.
15.63%
5
–
No. Any first-order model of some set theory is a universe as legitimate as
any other.
6.25%
2
–
I am strongly agnostic about this question.
12.50%
4
–
I think this is a bad question (say because one thinks that set theory is
just a bad foundation, or the issue is intractable).
12.50%
4
–
Responses
<https://www.surveymonkey.com/analyze/icWPmPdJLiHd_2Fpie9yOu9S7yzwomZ8QEC1sNr1QWamc_3D#>
Other (please specify)
3.13%
1


It seems like amongst the FOM community there's wide variation, but Toby
was correct that the `one universe' view is the most popular (though not
close to being the majority view).

With Best Wishes,

Neil
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