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16 Cards in this Set

  • Front
  • Back

Some cave dwellers use fire. All who use fire have intelligence. So...

Some cave dwellers have intelligence

No one held for murder is given bail. Smith isn't held for murder.

We can't conclude anything from this question.

Anyone who just lost a lot of blood is likely to faint. No one who is likely to faint is a safe pilot.

No one who just lost a lot of blood is a safe pilot.

Consider the statement, “If n is divisible by 30 then n is divisible by 2 and by 3 and by 5.” What is a statement that is equivalent to this one?

IF N IS NOT DIVISIBLE BY 2, OR NOT DIVISIBLE BY 3 OR NOT DIVISIBLE BY 5, THEN N IS NOT DIVISIBLE BY 30

T/ F: ∀x P(x) <-> ~∃x ~P(x)

TRUE

T / F: ∃x P(x) <-> ~∀x P(x)

FALSE

∀x ∃y P(x, y) <-> ∃y ∀x P(x, y)

FALSE

What is an inference procedure?

It provides rules for deriving new facts from existing facts.

An inference method is sound if it...

produces only entailed sentences.

A says, "I am a knave or B is a knight" and B says nothing. Who is what?



A & B are both knights.

An inference method is complete if it...

is able to produce every expression that is entailed by the KB.

A says, "We are both knaves" and B says nothing.

We are both knavesis a lie if other is a knight, which means that he could tell it and be a knave:a is knave, b is knight

Both A and B say, "I am a knight."

IT IS NOT POSSIBLE TO KNOW IF A IS A KNIGHT OR KNAVE

A says, "B is a knight" and B says, "The two of us are opposite types."

A & B are knaves.

While travelling along a road with a knight you meet three strangers. The knight tells you, "I know these travelers. One is a spy. One is a knight. The other is a knave." A says that C is a knave. B says that A is a knight. C says, "I am the spy."

A is Knight


B is Spy


C is Knave

FOPC: John likes all kinds of food.

Vx [x(food) => likes(john,x)