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www.greaterwrong.com
| | www.lesswrong.com
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| | Paul Christiano has deviseda new fundamental approachto the "Löb Problem" wherein Löb's Theorem seems to pose an obstacle to AIs building successor...
| | www.umsu.de
8.9 parsecs away

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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.
| | terrytao.wordpress.com
9.3 parsecs away

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| | A key theme in real analysis is that of studying general functions $latex {f: X \rightarrow {\bf R}}&fg=000000$ or $latex {f: X \rightarrow {\bf C}}&fg=000000$ by first approximating them b
| | booksandpictures.wordpress.com
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| Cat is mine, dog is not.