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Basic Concepts of Modal Logic (Video)
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Basic Concepts of Modal Logic (Video)
by A V Ravishankar Sarma

Modal logic extends classical logic with the ability to express not only ‘P is true’, but also statements like ‘P is known’ or ‘P is necessarily true’. We will define several varieties of normal modal logic systems (K, T, D,S4, S5), providing both their semantics and their axiomatic proof systems, and prove their standard soundness and ...

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About This Course

Modal logic extends classical logic with the ability to express not only ‘P is true’, but also statements like ‘P is known’ or ‘P is necessarily true’. We will define several varieties of normal modal logic systems (K, T, D,S4, S5), providing both their semantics and their axiomatic proof systems, and prove their standard soundness and ...

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Course Curriculum
4 Sections | 25 Lecture | 11h 15min total length
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Basic Concepts of Modal Logic (Video)

Week - 1- What is logic?

| 02h 31min total length
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    What is logic? General Introduction

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    Propositional Logic: Syntax

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    Propositional Logic: Semantics

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    Semantic Tableaux Method for Propositional Logic: General Examples

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    Semantic Tableaux Method: Some Puzzles

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    Semantic Tableaux Method-3: More puzzles

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Basic Concepts of Modal Logic (Video)

Week - 2 - Origin of Modal logic : Syntactical traditions of Modal logic

| 02h 31min total length
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    Limitations of Classical Logic

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    Origin of Modal Logic: Historical Survey

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    Origin of Modal Logic: Strict Implication

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    Strict Implication

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    Strict Implication: Examples

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    Language of Normal Modal Logic

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Basic Concepts of Modal Logic (Video)

Week - 3 - Basic notion of proof theory, properties of proof theoretic notions

| 02h 44min total length
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    Language of Modal Logic, Modal Sentences- 1

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    Language of Modal Logic 2: Syntax

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    Axiomatic Modal Logic: Some Proofs

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    Semantics of Modal Logic: Relational Structures

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    Kripke semantics for Modal Logic systems

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    Kripke semantics for Modal Logic: Some Examples

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Basic Concepts of Modal Logic (Video)

Week - 4 - Semantics of Normal Modal Logic

| 03h 27min total length
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    Kripke Semantics for Modal Logic : Examples

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    Semantic Tableaux method I

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    Semantic Tableaux method II

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    Possible worlds and Modal realism

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    Conditional logic introduction

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    Conditional logic C

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    Conditional logics: C, C , S, C1, C2 & conclusion

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