Here are some arguments in English. Your task is to paraphrase these arguments in sentential logic then determine whether or not the arguments are valid. The words in parentheses can be ignored; they are there to simply help you to understand what the English arguments are saying. Hint: Clearly identify the premises and the conclusion first. 1. Sondra mailed the grant proposal I placed on her desk. So she either mailed the grant proposal or threw it away. 2. If you have a cake, then just looking at it will make you hungry. But if looking at it will make you hungry, then you will eat it. So you can’t both have your cake and fail to eat it. 3. If I’m right, then I’m not wrong. But if I’m wrong, then I’m not right. Therefore, I’m not wrong. 4. Either we must philosophize or we must not. If we must philosophize, then we must philosophize. If we must not philosophize, then we must philosophize (to justify this view). Hence, in any case we must philosophize. (Aristotle)

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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Here are some arguments in English. Your task is to paraphrase these arguments in sentential logic then
determine whether or not the arguments are valid. The words in parentheses can be ignored; they are there
to simply help you to understand what the English arguments are saying. Hint: Clearly identify the premises
and the conclusion first.
1. Sondra mailed the grant proposal I placed on her desk. So she either mailed the grant proposal or
threw it away.
2. If you have a cake, then just looking at it will make you hungry. But if looking at it will make you
hungry, then you will eat it. So you can’t both have your cake and fail to eat it.
3. If I’m right, then I’m not wrong. But if I’m wrong, then I’m not right. Therefore, I’m not wrong.
4. Either we must philosophize or we must not. If we must philosophize, then we must philosophize. If we
must not philosophize, then we must philosophize (to justify this view). Hence, in any case we must
philosophize. (Aristotle)
 
 
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