Existential Out The Existential Out rule is DANGEROUS
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Existential Out The Existential Out rule is DANGEROUS.
Existential Out The Existential Out rule is DANGEROUS. #x(Bx&Mx) Ba&Ma Some BUNNIES are MARRIED. Anne is a married bunny. INVALID!
Existential Out The Existential Out rule is DANGEROUS. #x(Bx&Mx) Bn&Mn Some BUNNIES are MARRIED. n is a married bunny. BARELY OK Provided that n is a brand new name.
Existential Out The Existential Out rule is DANGEROUS. #x(Bx&Mx) Bn&Mn Some BUNNIES are MARRIED. n is a married bunny. BARELY OK n is like a new social security number.
Existential Out The Existential Out rule is DANGEROUS. #x(Bx&Mx) Bn&Mn Some BUNNIES are MARRIED. n is a married bunny. BARELY OK n is like a new social security number.
Existential Out The Existential Out rule is DANGEROUS. #x(Bx&Mx) Bn&Mn Some BUNNIES are MARRIED. n is a married bunny. WATCH OUT! There are extra deductions for violating the restriction on the EO rule.
Existential Out The Existential Out rule is DANGEROUS. #x(Bx&Mx) Bn&Mn Some BUNNIES are MARRIED. 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.
Sample Proof 1) #x(Bx&Mx) 2) $x(Mx>-Vx) -$x(Bx>Vx) A A GOAL
Sample Proof 1) #x(Bx&Mx) 2) $x(Mx>-Vx) 3) $x(Bx>Vx) ? &-? -$x(Bx>Vx) A A PA ? , ? &I 3 -? -I
Sample Proof 1) 2) 3) 4) #x(Bx&Mx) $x(Mx>-Vx) $x(Bx>Vx) Ba&Ma A A PA 1 #O ? &-? -$x(Bx>Vx) ? , ? &I 3 -? -I
Sample Proof 1) 2) 3) 4) 5) #x(Bx&Mx) $x(Mx>-Vx) $x(Bx>Vx) Ba&Ma Ma>-Va A A PA 1 #O 2 $O ? &-? -$x(Bx>Vx) ? , ? &I 3 -? -I
Sample Proof 1) 2) 3) 4) 5) 6) #x(Bx&Mx) $x(Mx>-Vx) $x(Bx>Vx) Ba&Ma Ma>-Va Ba>Va A A PA 1 #O 2 $O 3 $O ? &-? -$x(Bx>Vx) ? , ? &I 3 -? -I
Sample Proof 1) 2) 3) 4) 5) 6) 7) 8) #x(Bx&Mx) $x(Mx>-Vx) $x(Bx>Vx) Ba&Ma Ma>-Va Ba>Va Ba Ma A A PA 1 #O 2 $O 3 $O 4 &O ? &-? -$x(Bx>Vx) ? , ? &I 3 -? -I
Sample Proof 1) 2) 3) 4) 5) 6) 7) 8) 9) #x(Bx&Mx) $x(Mx>-Vx) $x(Bx>Vx) Ba&Ma Ma>-Va Ba>Va Ba Ma Va A A PA 1 #O 2 $O 3 $O 4 &O 6, 7 >O ? &-? -$x(Bx>Vx) ? , ? &I 3 -? -I
Sample Proof 1) #x(Bx&Mx) 2) $x(Mx>-Vx) 3) $x(Bx>Vx) 4) Ba&Ma 5) Ma>-Va 6) Ba>Va 7) Ba 8) Ma 9) Va 10) -Va ? &-? -$x(Bx>Vx) A A PA 1 #O 2 $O 3 $O 4 &O 6, 7 >O 5, 8 >O ? , ? &I 3 -? -I
Sample Proof 1) #x(Bx&Mx) 2) $x(Mx>-Vx) 3) $x(Bx>Vx) 4) Ba&Ma 5) Ma>-Va 6) Ba>Va 7) Ba 8) Ma 9) Va 10) -Va 11) Va&-Va -$x(Bx>Vx) A A PA 1 #O 2 $O 3 $O 4 &O 6, 7 >O 5, 8 >O 9, 10 &I 3 -11 -I
EO Strategy 1) #x(Bx&Mx) 2) $x(Mx>-Vx) 3) $x(Bx>Vx) ? &-? -$x(Bx>Vx) A A PA ? , ? &I 3 -? -I
EO Strategy 1) 2) 3) 4) 5) #x(Bx&Mx) $x(Mx>-Vx) $x(Bx>Vx) Ba>Va Ma>-Va A A PA 3 $O 2 $O ? &-? -$x(Bx>Vx) ? , ? &I 3 -? -I
EO Strategy 1) 2) 3) 4) 5) 6) #x(Bx&Mx) $x(Mx>-Vx) $x(Bx>Vx) Ba>Va Ma>-Va Ba&Ma A A PA 3 $O 2 $O 1 #O ? &-? -$x(Bx>Vx) ? , ? &I 3 -? -I
EO Strategy 1) 2) 3) 4) 5) 6) #x(Bx&Mx) $x(Mx>-Vx) $x(Bx>Vx) Ba>Va Ma>-Va Ba&Ma A A PA 3 $O 2 $O 1 #O #O Restriction VIOLATED! ? &-? -$x(Bx>Vx) ? , ? &I 3 -? -I
EO Strategy 1) 2) 3) 4) 5) 6) #x(Bx&Mx) $x(Mx>-Vx) $x(Bx>Vx) Ba>Va Ma>-Va Ba&Ma A A PA 3 $O 2 $O 1 #O #O Restriction VIOLATED! ADVICE: DO #O FIRST! ? &-? -$x(Bx>Vx) ? , ? &I 3 -? -I
EO Strategy 1) 2) 3) 4) 5) 6) #x(Bx&Mx) $x(Mx>-Vx) $x(Bx>Vx) Ba&Ma Ma>-Va Ba>Va A A PA 1 #O 2 $O 3 $O #O Restriction VIOLATED! ADVICE: DO #O FIRST! ? &-? -$x(Bx>Vx) ? , ? &I 3 -? -I For more click here
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