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The proof-theoretic ordinal of a logical theory
Manage episode 307643229 series 2823367
Content provided by Aaron Stump. All podcast content including episodes, graphics, and podcast descriptions are uploaded and provided directly by Aaron Stump or their podcast platform partner. If you believe someone is using your copyrighted work without your permission, you can follow the process outlined here https://player.fm/legal.
Ordinal analysis seeks to determine the strength of a logical theory by assigning an ordinal to it. Which one? In this episode I describe a definition of the proof-theoretic ordinal of a logical theory from a paper by proof theorist Michael Rathjen. It is basically a measure of how strong an induction principle is derivable in the theory. (The first parts of the paper are pretty accessible, but the rest gets hard, at least for me.)
166 episodes
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Manage episode 307643229 series 2823367
Content provided by Aaron Stump. All podcast content including episodes, graphics, and podcast descriptions are uploaded and provided directly by Aaron Stump or their podcast platform partner. If you believe someone is using your copyrighted work without your permission, you can follow the process outlined here https://player.fm/legal.
Ordinal analysis seeks to determine the strength of a logical theory by assigning an ordinal to it. Which one? In this episode I describe a definition of the proof-theoretic ordinal of a logical theory from a paper by proof theorist Michael Rathjen. It is basically a measure of how strong an induction principle is derivable in the theory. (The first parts of the paper are pretty accessible, but the rest gets hard, at least for me.)
166 episodes
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Similar to Iowa Type Theory Commute
Show notes are at https://stevelitchfield.com/sshow/chat.html
…
continue reading
Three nerds discussing tech, Apple, programming, and loosely related matters.
…
continue reading
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…
continue reading
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…
continue reading
Download This Show is your weekly guide to the world of media, culture, and technology. From social media to gadgets, streaming services to privacy issues. Each week Marc Fennell and a team of people far smarter than him (his words, not ours) take a fun deep dive into how technology is reshaping our lives.
…
continue reading
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…
continue reading
A podcast about web design and development.
…
continue reading
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…
continue reading
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…
continue reading
The Data Skeptic Podcast features interviews and discussion of topics related to data science, statistics, machine learning, artificial intelligence and the like, all from the perspective of applying critical thinking and the scientific method to evaluate the veracity of claims and efficacy of approaches.
…
continue reading
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