mples of models that have satisfied scotts infinite representation (probability)theorem? Does it make some kind of archimedean assumption or does that need to be assumed to meet said constraints; or does meeting those constraints amount to, to some extent, to a derivation (if you will) of the archimedean condition (that one can neglect infinitesimally small events in probability) I presume it is decidable; although one would have use proof by contradiction by contradiction.
If it were not, it would seem to mean that it would be an open question, as to whether kolmogorov's own interpretation would be consistent with its 'numerical identical self) So I presume the answer is yes
Please check this link, it contains simple illustration:
http://www.cut-the-knot.org/pythagoras/index.shtml
This book is excellent too:
https://books.google.com.eg/books?id=nPENXKw5kwcC&pg=PA185&lpg=PA185&dq=examples+of+models+that+have+satisfied+scotts+infinite+representation+(probability)theorem&source=bl&ots=bYTMAGkXe2&sig=wLGTubTe7qvXSVPvpfBScRFE1Sg&hl=en&sa=X&ved=0ahUKEwi8zPq6lMLRAhUOsBQKHX82DGsQ6AEIOTAG
I hope you will find them useful.
does this mention scvotts theorem theorem, in any regard; with regard to numerial order preserving probability representations of qualitative probability spaces; when we are considering infinite spaces, ie sigma algebras with countable additivity
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