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Existential Out

The Existential Out rule is DANGEROUS.

Existential Out

The Existential Out rule is DANGEROUS.

#x(Bx&Mx) Some BUNNIES are MARRIED. Ba&Ma Anne is a married bunny.

INVALID!

Existential Out

The Existential Out rule is DANGEROUS.

#x(Bx&Mx) Some BUNNIES are MARRIED. Bn&Mn n is a married bunny.

BARELY OKProvided that n

is a brand new name.

Existential Out

The Existential Out rule is DANGEROUS.

#x(Bx&Mx) Some BUNNIES are MARRIED. Bn&Mn n is a married bunny.

BARELY OKn is like a new

social security number.

Existential Out

The Existential Out rule is DANGEROUS.

#x(Bx&Mx) Some BUNNIES are MARRIED. Bn&Mn n is a married bunny.

BARELY OKn is like a new

social security number.

Existential Out

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 deductionsfor violating the restriction

on the EO rule.

Existential Out

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 deductionsfor violating the restriction

on the EO rule.

The EO Restriction:The letter chosen for the instance must

be new to the proof.

Sample Proof

1) #x(Bx&Mx) A2) $x(Mx>-Vx) A

-$x(Bx>Vx) GOAL

Sample Proof

1) #x(Bx&Mx) A2) $x(Mx>-Vx) A3) $x(Bx>Vx) PA

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

Sample Proof

1) #x(Bx&Mx) A2) $x(Mx>-Vx) A3) $x(Bx>Vx) PA4) Ba&Ma 1 #O

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

Sample Proof

1) #x(Bx&Mx) A2) $x(Mx>-Vx) A3) $x(Bx>Vx) PA4) Ba&Ma 1 #O5) Ma>-Va 2 $O

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

Sample Proof

1) #x(Bx&Mx) A2) $x(Mx>-Vx) A3) $x(Bx>Vx) PA4) Ba&Ma 1 #O5) Ma>-Va 2 $O6) Ba>Va 3 $O

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

Sample Proof

1) #x(Bx&Mx) A2) $x(Mx>-Vx) A3) $x(Bx>Vx) PA4) Ba&Ma 1 #O5) Ma>-Va 2 $O6) Ba>Va 3 $O7) Ba 4 &O8) Ma 4 &O

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

Sample Proof

1) #x(Bx&Mx) A2) $x(Mx>-Vx) A3) $x(Bx>Vx) PA4) Ba&Ma 1 #O5) Ma>-Va 2 $O6) Ba>Va 3 $O7) Ba 4 &O8) Ma 4 &O9) Va 6,7 >O

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

Sample Proof

1) #x(Bx&Mx) A2) $x(Mx>-Vx) A3) $x(Bx>Vx) PA4) Ba&Ma 1 #O5) Ma>-Va 2 $O6) Ba>Va 3 $O7) Ba 4 &O8) Ma 4 &O9) Va 6,7 >O10) -Va 5,8 >O ?&-? ?,? &I -$x(Bx>Vx) 3-? -I

Sample Proof

1) #x(Bx&Mx) A2) $x(Mx>-Vx) A3) $x(Bx>Vx) PA4) Ba&Ma 1 #O5) Ma>-Va 2 $O6) Ba>Va 3 $O7) Ba 4 &O8) Ma 4 &O9) Va 6,7 >O10) -Va 5,8 >O11) Va&-Va 9,10 &I -$x(Bx>Vx) 3-11 -I

EO Strategy

1) #x(Bx&Mx) A2) $x(Mx>-Vx) A3) $x(Bx>Vx) PA

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

EO Strategy

1) #x(Bx&Mx) A2) $x(Mx>-Vx) A3) $x(Bx>Vx) PA4) Ba>Va 3 $O5) Ma>-Va 2 $O

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

EO Strategy

1) #x(Bx&Mx) A2) $x(Mx>-Vx) A3) $x(Bx>Vx) PA4) Ba>Va 3 $O5) Ma>-Va 2 $O6) Ba&Ma 1 #O

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

EO Strategy

1) #x(Bx&Mx) A2) $x(Mx>-Vx) A3) $x(Bx>Vx) PA4) Ba>Va 3 $O5) Ma>-Va 2 $O6) Ba&Ma 1 #O

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

#O Restriction VIOLATED!

EO Strategy

1) #x(Bx&Mx) A2) $x(Mx>-Vx) A3) $x(Bx>Vx) PA4) Ba>Va 3 $O5) Ma>-Va 2 $O6) Ba&Ma 1 #O

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

#O Restriction VIOLATED!ADVICE: DO #O FIRST!

EO Strategy

1) #x(Bx&Mx) A2) $x(Mx>-Vx) A3) $x(Bx>Vx) PA4) Ba&Ma 1 #O5) Ma>-Va 2 $O6) Ba>Va 3 $O

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

#O Restriction VIOLATED!ADVICE: DO #O FIRST!

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