- 181 Views
- Uploaded on

Download Presentation
## PowerPoint Slideshow about ' Existential Out' - wyoming-irwin

**An Image/Link below is provided (as is) to download presentation**

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

Presentation Transcript

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 OK

Provided 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 OK

n 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 OK

n 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 deductions

for 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 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) A

2) $x(Mx>-Vx) A

3) $x(Bx>Vx) PA

4) Ba&Ma 1 #O

?&-? ?,? &I

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

Sample Proof

1) #x(Bx&Mx) A

2) $x(Mx>-Vx) A

3) $x(Bx>Vx) PA

4) Ba&Ma 1 #O

5) Ma>-Va 2 $O

?&-? ?,? &I

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

Sample Proof

1) #x(Bx&Mx) A

2) $x(Mx>-Vx) A

3) $x(Bx>Vx) PA

4) Ba&Ma 1 #O

5) Ma>-Va 2 $O

6) Ba>Va 3 $O

?&-? ?,? &I

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

Sample Proof

1) #x(Bx&Mx) A

2) $x(Mx>-Vx) A

3) $x(Bx>Vx) PA

4) Ba&Ma 1 #O

5) Ma>-Va 2 $O

6) Ba>Va 3 $O

7) Ba 4 &O

8) Ma 4 &O

?&-? ?,? &I

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

Sample Proof

1) #x(Bx&Mx) A

2) $x(Mx>-Vx) A

3) $x(Bx>Vx) PA

4) Ba&Ma 1 #O

5) Ma>-Va 2 $O

6) Ba>Va 3 $O

7) Ba 4 &O

8) Ma 4 &O

9) Va 6,7 >O

?&-? ?,? &I

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

Sample Proof

1) #x(Bx&Mx) A

2) $x(Mx>-Vx) A

3) $x(Bx>Vx) PA

4) Ba&Ma 1 #O

5) Ma>-Va 2 $O

6) Ba>Va 3 $O

7) Ba 4 &O

8) Ma 4 &O

9) Va 6,7 >O

10) -Va 5,8 >O

?&-? ?,? &I

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

Sample Proof

1) #x(Bx&Mx) A

2) $x(Mx>-Vx) A

3) $x(Bx>Vx) PA

4) Ba&Ma 1 #O

5) Ma>-Va 2 $O

6) Ba>Va 3 $O

7) Ba 4 &O

8) Ma 4 &O

9) Va 6,7 >O

10) -Va 5,8 >O

11) Va&-Va 9,10 &I

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

EO Strategy

1) #x(Bx&Mx) A

2) $x(Mx>-Vx) A

3) $x(Bx>Vx) PA

4) Ba>Va 3 $O

5) Ma>-Va 2 $O

?&-? ?,? &I

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

EO Strategy

1) #x(Bx&Mx) A

2) $x(Mx>-Vx) A

3) $x(Bx>Vx) PA

4) Ba>Va 3 $O

5) Ma>-Va 2 $O

6) Ba&Ma 1 #O

?&-? ?,? &I

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

EO Strategy

1) #x(Bx&Mx) A

2) $x(Mx>-Vx) A

3) $x(Bx>Vx) PA

4) Ba>Va 3 $O

5) Ma>-Va 2 $O

6) Ba&Ma 1 #O

?&-? ?,? &I

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

#O Restriction VIOLATED!

EO Strategy

1) #x(Bx&Mx) A

2) $x(Mx>-Vx) A

3) $x(Bx>Vx) PA

4) Ba>Va 3 $O

5) Ma>-Va 2 $O

6) Ba&Ma 1 #O

?&-? ?,? &I

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

#O Restriction VIOLATED!

ADVICE: DO #O FIRST!

EO Strategy

1) #x(Bx&Mx) A

2) $x(Mx>-Vx) A

3) $x(Bx>Vx) PA

4) Ba&Ma 1 #O

5) Ma>-Va 2 $O

6) Ba>Va 3 $O

?&-? ?,? &I

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

#O Restriction VIOLATED!

ADVICE: DO #O FIRST!

For more click here

Download Presentation

Connecting to Server..