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Ideas for 'Logicism and Ontological Commits. of Arithmetic', 'Hat-Tricks and Heaps' and 'Intro: Theories of Vagueness'

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4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / h. System S5
S5 collapses iterated modalities (◊□P→□P, and ◊◊P→◊P) [Keefe/Smith]