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Existential Out

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The Existential Out rule is DANGEROUS.

The Existential Out rule is DANGEROUS.

#x(Bx&Mx) Some BUNNIES are MARRIED.

Ba&Ma Anne is a married bunny.

INVALID!

The Existential Out rule is DANGEROUS.

#x(Bx&Mx) Some BUNNIES are MARRIED.

Bn&Mn n is a married bunny.

BARELY OK

Provided that n

is a brand new name.

The Existential Out rule is DANGEROUS.

#x(Bx&Mx) Some BUNNIES are MARRIED.

Bn&Mn n is a married bunny.

BARELY OK

n is like a new

social security number.

The Existential Out rule is DANGEROUS.

#x(Bx&Mx) Some BUNNIES are MARRIED.

Bn&Mn n is a married bunny.

BARELY OK

n is like a new

social security number.

The Existential Out rule is DANGEROUS.

#x(Bx&Mx) Some BUNNIES are MARRIED.

Bn&Mn n is a married bunny.

WATCH OUT!

There are extra deductions

for violating the restriction

on the EO rule.

The Existential Out rule is DANGEROUS.

#x(Bx&Mx) Some BUNNIES are MARRIED.

Bn&Mn n is a married bunny.

WATCH OUT!

There are extra deductions

for violating the restriction

on the EO rule.

The EO Restriction:

The letter chosen for the instance must

be new to the proof.

1) #x(Bx&Mx)A

2) $x(Mx>-Vx)A

-$x(Bx>Vx) GOAL

1) #x(Bx&Mx)A

2) $x(Mx>-Vx)A

3) $x(Bx>Vx)PA

?&-??,? &I

-$x(Bx>Vx) 3-? -I

1) #x(Bx&Mx)A

2) $x(Mx>-Vx)A

3) $x(Bx>Vx)PA

4) Ba&Ma1 #O

?&-??,? &I

-$x(Bx>Vx) 3-? -I

1) #x(Bx&Mx)A

2) $x(Mx>-Vx)A

3) $x(Bx>Vx)PA

4) Ba&Ma1 #O

5) Ma>-Va2 $O

?&-??,? &I

-$x(Bx>Vx) 3-? -I

1) #x(Bx&Mx)A

2) $x(Mx>-Vx)A

3) $x(Bx>Vx)PA

4) Ba&Ma1 #O

5) Ma>-Va2 $O

6) Ba>Va3 $O

?&-??,? &I

-$x(Bx>Vx) 3-? -I

1) #x(Bx&Mx)A

2) $x(Mx>-Vx)A

3) $x(Bx>Vx)PA

4) Ba&Ma1 #O

5) Ma>-Va2 $O

6) Ba>Va3 $O

7) Ba4 &O

8) Ma4 &O

?&-??,? &I

-$x(Bx>Vx) 3-? -I

1) #x(Bx&Mx)A

2) $x(Mx>-Vx)A

3) $x(Bx>Vx)PA

4) Ba&Ma1 #O

5) Ma>-Va2 $O

6) Ba>Va3 $O

7) Ba4 &O

8) Ma4 &O

9) Va6,7 >O

?&-??,? &I

-$x(Bx>Vx) 3-? -I

1) #x(Bx&Mx)A

2) $x(Mx>-Vx)A

3) $x(Bx>Vx)PA

4) Ba&Ma1 #O

5) Ma>-Va2 $O

6) Ba>Va3 $O

7) Ba4 &O

8) Ma4 &O

9) Va6,7 >O

10) -Va5,8 >O

?&-??,? &I

-$x(Bx>Vx) 3-? -I

1) #x(Bx&Mx)A

2) $x(Mx>-Vx)A

3) $x(Bx>Vx)PA

4) Ba&Ma1 #O

5) Ma>-Va2 $O

6) Ba>Va3 $O

7) Ba4 &O

8) Ma4 &O

9) Va6,7 >O

10) -Va5,8 >O

11) Va&-Va9,10 &I

-$x(Bx>Vx) 3-11 -I

1) #x(Bx&Mx)A

2) $x(Mx>-Vx)A

3) $x(Bx>Vx)PA

?&-??,? &I

-$x(Bx>Vx) 3-? -I

1) #x(Bx&Mx)A

2) $x(Mx>-Vx)A

3) $x(Bx>Vx)PA

4) Ba>Va3 $O

5) Ma>-Va2 $O

?&-??,? &I

-$x(Bx>Vx) 3-? -I

1) #x(Bx&Mx)A

2) $x(Mx>-Vx)A

3) $x(Bx>Vx)PA

4) Ba>Va3 $O

5) Ma>-Va2 $O

6) Ba&Ma1 #O

?&-??,? &I

-$x(Bx>Vx) 3-? -I

1) #x(Bx&Mx)A

2) $x(Mx>-Vx)A

3) $x(Bx>Vx)PA

4) Ba>Va3 $O

5) Ma>-Va2 $O

6) Ba&Ma1 #O

?&-??,? &I

-$x(Bx>Vx) 3-? -I

#O Restriction VIOLATED!

1) #x(Bx&Mx)A

2) $x(Mx>-Vx)A

3) $x(Bx>Vx)PA

4) Ba>Va3 $O

5) Ma>-Va2 $O

6) Ba&Ma1 #O

?&-??,? &I

-$x(Bx>Vx) 3-? -I

#O Restriction VIOLATED!

ADVICE: DO #O FIRST!

1) #x(Bx&Mx)A

2) $x(Mx>-Vx)A

3) $x(Bx>Vx)PA

4) Ba&Ma1 #O

5) Ma>-Va2 $O

6) Ba>Va3 $O

?&-??,? &I

-$x(Bx>Vx) 3-? -I

#O Restriction VIOLATED!

ADVICE: DO #O FIRST!

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