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Lecture 3 The Languages of K, T, B and S4

Lecture 3 The Languages of K, T, B and S4. Last time we extended the language PC to the language S5 by adding two new symbols ‘ □’ (for ‘It is necessary that’) and ‘ ’ (for ‘It is possible that), and allowing two new types of wff – ‘□’ and ‘’.

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Chapter 2 Final Review The Nature of Deductive Reasoning

Chapter 2 Final Review The Nature of Deductive Reasoning. Geometry (H) Period 2 Mrs. Liedell Elizabeth Wig. 2-1: Conditional Statements. Consist of two parts: Hypothesis and Conclusion “If it was sunny outside (hypothesis)… Then I would ride my bike to school.” (conclusion)

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Category theory and structuralism

Category theory and structuralism. Binghui, Shen. An introduction to Category theory An introduction to Structuralism Why Further development. Definition of a category. A category consists of the following data: • Objects: A,B, C, . . . • Arrows: f, g, h, . . .

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