Lesson plan
Intermediate logic
In mathematical logic, a superintuitionistic logic is a propositional logic extending intuitionistic logic. A logic is a set of propositional formulas with certain closure properties. The logics are partially ordered under containment. A logic is stronger than another iff it contains the other. Classical logic is the strongest consistent superintuitionistic logic. Thus, the consistent superintuitionistic logics are called intermediate logics, because the logics are intermediate in how many formulas they contain between intuitionistic logic and classical logic.
Article summary
In mathematical logic, a superintuitionistic logic is a propositional logic extending intuitionistic logic. A logic is a set of propositional formulas with certain closure properties. The logics are partially ordered under containment. A logic is stronger than another iff it contains the other. Classical logic is the strongest consistent superintuitionistic logic. Thus, the consistent superintuitionistic logics are called intermediate logics, because the logics are intermediate in how many formulas they contain between intuitionistic logic and classical logic.
Key claims
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Discussion questions
- Summarise the article in your own words. Which single claim would you verify first, and why?
- Which claim in this article is most likely to be revised as the sources update? How would you check its current status?
- If two sources disagreed about one of these facts, what would you need in order to trust one over the other?
Bibliography
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Key claims and bibliography are generated from the same tracked claims and sources as the article page.