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Kenneth Rosen Edition 6th Exercise 1.5 Question 10 (Page No. 73)

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For each of theses sets of premises, what relevant conclusions can be drawn?

(b)"If I work, it is either sunny or partly sunny." "I worked last Monday or I worked Last Friday." "It was not sunny on Tuesday."

"It was not partly sunny on friday."

(e)"All foods that are healthy to eat do not taste good." "Tofu is healthy to eat." "You only eat what tastes good."

"You do not eat Tofu." "Cheeseburgers are not healthy to eat."
asked in Mathematical Logic by Boss (25.3k points)
edited by | 84 views
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(e) i can conclude "You do not eat Tofu."  but i can't conclude "Cheeseburgers are not healthy to eat."

i can conclude "Cheeseburgers are not healthy to eat." when there is preposition " Cheeseburgers are tastes.good "

 

(b) i can't conclude

 

These are my opinions.

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@Shaik-Can you please elaborate more on your above work?
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(e)

 let take the prepositions

F: Foods that are healthy

T:Tastes Goods

E: Tofu eat

F:Cheeseburgers

"All foods that are healthy to eat do not taste good." ===> F->~T ----(1)

"Tofu is healthy to eat." ======> E -> F ---(2)

"You only eat what tastes good." =====> T ----(3)

from (1) and (3) , ~F ----(4)

from (2) and (4) , ~E ----(5) means Tofu can't eat

 

if you have  " Cheeseburgers are tastes good " ====> C->T ----(6)

i can write (1) as T->~F ---(7)

from (6) and (7) , C -> ~F ----(8) means Cheese Burgers are not healthy to eat


For this type of examples, need not to go always with prepositions, go with normal illustrations, means

"All foods that are healthy to eat do not taste good."

"You only eat what tastes good."

by these two lines you can conclude that which ever you do not eat which are good for health

"Tofu is healthy to eat." ==> "You do not eat Tofu."

1 Answer

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Answer - It was not sunny on Tuesday and it was not partial sunny on Friday.

 

answered by Active (1.6k points)

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