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(solution) Typed Words please, hand writing not accepted. Thanks.


Typed Words please, hand writing not accepted. Thanks.


Quiz 1

 

Answer all questions. Be sure to write your name, your Teaching Assistant's name, and

 

your recitation section on each page. You can do sections A and B right on this sheet, but

 

do not attempt to write out the proofs on this question sheet; give yourself lots of space and

 

please try to be clear and tidy.

 

A

 

Which, if any, of the following claims are true? Which false? Indicate by writing (Clearly)

 

a T or an F after each.

 

A valid argument may have: (i) True premises and true conclusion.

 

(ii) False premises and true conclusion.

 

(iii) True premises and false conclusion.

 

(iv) False premises and false conclusion. B

 

Symbolize each of the following, using the suggested abbreviations. 1. If Britain LEAVES the European Union, then the British economy will SUFFER. 2.

 

The British economy will SUFFER, provided that Britain LEAVES the European

 

Union.

 

3. Given that Britain LEAVES the European Union, the British economy will

 

SUFFER. 4.

 

The British economy will SUFFER, assuming that Britain LEAVES the European

 

Union.

 

5.

 

If Clinton wins the DEBATES, she will WIN the election if she remains in good

 

HEALTH.

 

6.

 

Assuming that she remains in good HEALTH, Clinton will WIN the election if she

 

wins the DEBATES. 7.

 

Clinton will win the DEBATES if she remains in good HEALTH, and she will WIN

 

the election if she wins the DEBATES 8.

 

If she wins the DEBATES and remains in good HEALTH, then she will WIN the

 

election. C Show that arguments (1) ? (5) are valid by constructing in each case a proof of the

 

conclusion from the premises.. You must use the rules of inference exactly as

 

they are given to you.

 

E [G (H A)] 1. E, H, G, 2. H (N S), H, N 3. (H N) (R S), R & (H N) 4. (G &M) S, M & G 5. H {N [A (E R)]}, H, H N, H A, R S, N E, |- |- A

 

S

 

|- S |- S

 

|- S

 


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