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jeremywsherman.com
| | blog.acolyer.org
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| | mikehadlow.blogspot.com
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| | Note. This post had a great response on Reddit with over 300 comments . I've added an update section to the end of this post to address so...
| | techglider.github.io
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| | www.umsu.de
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| [AI summary] The discussion centers on the interpretation of higher-order logic and the role of metaphysical domains. Andrew Bacon argues that higher-order logic doesn't require a metaphysical commitment to domains of objects, properties, or propositions. Instead, he emphasizes the use of stipulative definitions and logical connections between sentences to interpret expressions. He contrasts this with the idea that models must be interpreted in a way that reflects a metaphysical structure of reality. The conversation also touches on the nature of provability operators and their relationship to logical frameworks, highlighting the distinction between formal languages and their interpretations in different contexts.