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peg_city
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Page 343 in Logical Reasoning book

by peg_city Mon Aug 08, 2011 2:25 pm

I'm not sure if I posted this in the right section (I apologize if I didn't).

Question 8 on page 343 (practicing conditional logic) says

"Being a good parent requires understanding and empathy. Those without experience cannot be empathetic"

Okay conditional logic as follows....

1st sentence
good parent -> Understanding + Empathy

Sentence 2
Its says it should be ~experience ->~empathy

But isn't the word 'without' a necessary condition indicator?

Shouldn't it therefore be (~empathy -> ~experience) because 'without' introduces the word 'experience'?

Thanks ahead of time :)
 
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Re: Page 343 in Logical Reasoning book

by chike_eze Mon Aug 08, 2011 4:23 pm

peg_city Wrote:...
"Being a good parent requires understanding and empathy. Those without experience cannot be empathetic"

Okay conditional logic as follows....

1st sentence
good parent -> Understanding + Empathy

Sentence 2
Its says it should be ~experience ->~empathy

But isn't the word 'without' a necessary condition indicator?

Shouldn't it therefore be (~empathy -> ~experience) because 'without' introduces the word 'experience'?

Thanks ahead of time :)


I think it depends on the method you use to translate key words "unless", "except", "without"

Using the Method you suggest:
"Unless" introduces the "necessary" condition, but you have to Negate the Sufficient condition to complete the translation.

E.g.
1. A unless B
B = necessary, negated A = sufficient

therefore,
A unless B => Not A --> B

2. Those without experience cannot be empathetic
empathetic --> experience
not experience --> not empathetic (contra)

MLSAT Suggested Method:
Convert "unless", "without", "except" to IF NOT
E.g
A unless B = A, IF NOT B = Not B --> A
Unless Not A, then B = IF NOT (NOT A), then B = A --> B