Set Theory in Logic: Exploring Deductive and Formal Logic
"Discover the role of set theory within deductive and formal logic, including traditional and modern symbolic logic. Learn about set theory's fundamental concepts and how categorical propositions are interpreted in the context of set theory."
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Presentation Transcript
SET THEORY SET THEORY S POSITION IN LOGIC :- LOGIC Deductive Logic Inductive Logic DEDUCTIVE LOGIC Formal Logic Philosophical Logic
SET THEORY FORMAL LOGIC Traditional Aristotelian Logic Modern Symbolic Logic MODERN SYMBOLIC LOGIC Sentence logic Predicate Logic Boolean Algebra Mathematical Logic Modal Logic Many-valued Logic
SET THEORY MATHEATICAL LOGIC Set Theory Proof Theory what is Set ? Set are classes. Basically set is simply a synonym of class . W.V.Quine. In a set , it at least has more than one member. A set must have a property. Sets example are Men set, Dog set etc. In Set Theory we have Empty Set.
SET THEORY Basic Concepts of Set :- Membership Identity Subset Proper Subset Intersection Union Difference
SET THEORY How do we interpret categorical propositions in Set Theory ? i. ii. iii. I - Some flowers are red. iv. O - Some flowers are not red. A All men are mortal. E - No men are immortal.
