Question

a set of premises and a conclusion are given. Use the valid argument forms listed in Table 2.3.1 to deduce the con- clusion from the premises, giving a reason for each step as in Example 2.3.8. Assume all variables are statement variables a. p b. rVS с. ~s ~t n. или Example 2.3.8 Application: A More Complex Deduction You are about to leave for school in the morning and discover that you don't l glasses. You know the following statements are true: a. IfI was reading the newspaper in the kitchen, then my glasses are on the kitc b. If my glasses are on the kitchen table, then I saw them at breakfast. c. I did not see my glasses at breakfast. d. I was reading the newspaper in the living room or I was reading the newspa kitchen. e. If I was reading the newspaper in the living room then my glasses are on t Where are the glasses? Solution Let RK I was reading the newspaper in t spaper in the kitchen. GK My glasses are on the kitchen table. SBI saw my glasses at breakfast. RI. I was reading the newspape GC- My glasses are on the coffee table. r in the living room. conclusion T TTF T TF T F T F T FF F T TF F TF This row shows that a argument of this form have true premises an conclusion. Hence thi of argument is invalid

Answer 1