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Predicate Logic Although Propositional Logic is complete... It is still inadequate.

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Presentation on theme: "Predicate Logic Although Propositional Logic is complete... It is still inadequate."— Presentation transcript:

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2 Predicate Logic Although Propositional Logic is complete... It is still inadequate.

3 Predicate Logic Although Propositional Logic is complete... It is still inadequate. All men are mortal. Socrates is a man. Socrates is mortal.

4 Predicate Logic Although Propositional Logic is complete... It is still inadequate. All men are mortal. Socrates is a man. Socrates is mortal. VALID

5 Predicate Logic Although Propositional Logic is complete... It is still inadequate. All men are mortal. Socrates is a man. Socrates is mortal. VALID PQRPQR

6 Predicate Logic Although Propositional Logic is complete... It is still inadequate. All men are mortal. Socrates is a man. Socrates is mortal. VALID PQRPQR INVALID FORM

7 Predicate Logic Although Propositional Logic is complete... It is still inadequate. All men are mortal. Socrates is a man. Socrates is mortal. VALID

8 Predicate Logic VALID All A are B n is A n is B Although Propositional Logic is complete... It is still inadequate. All men are mortal. Socrates is a man. Socrates is mortal.

9 Predicate Logic VALID To capture what makes this form valid we need to notate the subject and predicate of a proposition. All A are B n is A n is B Although Propositional Logic is complete... It is still inadequate. All men are mortal. Socrates is a man. Socrates is mortal.

10 Predicate Logic

11 Alternative names: Predicate Logic

12 Alternative names: Predicate Logic Quantificational Logic Quantifiers: all, some, no

13 Predicate Logic Alternative names: Predicate Logic Quantificational Logic First Order Logic

14 Predicate Logic Alternative names: Predicate Logic Quantificational Logic First Order Logic Predicate Calculus

15 Predicate Logic Alternative names: Predicate Logic Quantificational Logic First Order Logic Predicate Calculus Quantificational Calculus First Order Calculus

16 Predicate Logic Alternative names: Predicate Logic Quantificational Logic First Order Logic Predicate Calculus Quantificational Calculus First Order Calculus First Order Functional Calculus For more click here


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