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• CommentRowNumber1.
• CommentAuthorDavid_Corfield
• CommentTimeJul 9th 2019

Added a reference

• Simon Cho, Categorical semantics of metric spaces and continuous logic, (arXiv:1901.09077)
• CommentRowNumber2.
• CommentAuthorDavid_Corfield
• CommentTimeJul 26th 2019

I added a section on the enriched category theoretic approach to continuous logic.

What if we took seriously the idea of replacing truth values by the real interval? Could there be an equivalent of the table at (n,r)-category, starting out with symmetric metric space for set, and metric space for poset? I was wondering about such matters over at the nCafé.

• CommentRowNumber3.
• CommentAuthorDavid_Corfield
• CommentTimeAug 5th 2019

I removed

The truth is interpreted as probability and there is a concept of random predicates,

which as far as I can see is wrong, and added a quotation describing properties continuous logic shares with ordinary logic.

• CommentRowNumber4.
• CommentAuthorDavid_Corfield
• CommentTimeAug 12th 2019

Added a reference

• Ruiyuan Chen, Representing Polish groupoids via metric structures, (arXiv:1908.03268)
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