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pavpanchekha.com | ||
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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. | |
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aeon.co
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| | | | | Some have thought that logic will one day be completed and all its problems solved. Now we know it is an endless task | |
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lawrencecpaulson.github.io
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rjlipton.com
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| | | Connections in mathematics: games and graphs John Nash is famous for his creation of what has become one of the central notions of modern game theory---his concept of what is a ``solution" for a non-zero sum game. For this work he was awarded the Nobel Prize in Economic Sciences in 1994, along with John Harsanyi... | ||
