Q1) Test the validity of the argument with a truth table. If Ahmed goes to town, then Mohamed stays at home. If Mohamed does not stay at home, then Hazem will cook. Hazem will not cook. Therefore, Ahmed does not go to town. Hint: you will want to rewrite the statements above in symbols first.

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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Q1) Test the validity of the argument with a truth table.
If Ahmed goes to town, then Mohamed stays at home.
If Mohamed does not stay at home, then Hazem will cook.
Hazem will not cook.
Therefore, Ahmed does not go to town.
Hint: you will want to rewrite the statements above in symbols first.
Q2) Test the validity of the argument with a Venn Diagram.
• All logicians are rational.
All physicists are rational.
All toddlers are irrational.
So, all physicists are logicians.
• If you live in Cairo, you live in Egypt.
Mohamed does not live in Cairo.
So, Mohamed does not live in Egypt.
Q3)Prove the validity of the following arguments using rules of inference and
truth tables.
Premises
p^q
p-("q^r)
S-r
Transcribed Image Text:Q1) Test the validity of the argument with a truth table. If Ahmed goes to town, then Mohamed stays at home. If Mohamed does not stay at home, then Hazem will cook. Hazem will not cook. Therefore, Ahmed does not go to town. Hint: you will want to rewrite the statements above in symbols first. Q2) Test the validity of the argument with a Venn Diagram. • All logicians are rational. All physicists are rational. All toddlers are irrational. So, all physicists are logicians. • If you live in Cairo, you live in Egypt. Mohamed does not live in Cairo. So, Mohamed does not live in Egypt. Q3)Prove the validity of the following arguments using rules of inference and truth tables. Premises p^q p-("q^r) S-r
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