Lecture 5

# Lecture 5 - Lecture 5 Logic is a Game II Limitations of...

This preview shows pages 1–6. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Lecture 5 Logic is a Game II
Limitations of Propositional Logic How does propositional logic express a statement like: All men are mortal. If there are finitely many of those men, then we can say: (Man 1 is mortal) (Man 2 is mortal) Notes: The above sentence could be very long. What if there are infinitely many men?

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Predicate (First Order) Logic For the statement: All men are mortal. We use the predicates: Man(x), which means: “x is a man”. Mortal(x), which means: “x is mortal”. We then write: ( 2200 x)(Man(x) Mortal(x)) to mean: “For every x, if x is a man, then x is mortal” Note: (A B) is an abbreviation for ( ¬ A B), i.e. the above sentence reads: “For every x, either x is not man, or (if x is indeed a man) x is mortal”
Syntax of Predicate Logic Formed from atomic formulas like: Man(x), Mortal(x): unary predicates, Friend(x,y): a binary predicate, which means: “x is a friend of y”. Addition(x,y,z): a ternary predicate, which

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 14

Lecture 5 - Lecture 5 Logic is a Game II Limitations of...

This preview shows document pages 1 - 6. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online