[amp_mcq option1=”None follows” option2=”Only either I or III follows” option3=”Only II and III follow” option4=”Only III and IV follow” correct=”option1″]<\/p>\n
The correct answer is: Only II and III follow.<\/p>\n
The first statement, “All cups are glasses,” can be expressed in propositional logic as $A \\subseteq B$. The second statement, “Some glasses are bowls,” can be expressed as $B \\cap C \\neq \\emptyset$. The third statement, “No bowl is a plate,” can be expressed as $C \\cap P = \\emptyset$.<\/p>\n
The first conclusion, “No cup is a plate,” can be derived from the first and third statements by modus tollens. The second conclusion, “No glass is a plate,” can be derived from the second and third statements by modus tollens. The third conclusion, “Some plates are bowls,” cannot be derived from the given statements. The fourth conclusion, “Some cups are not glasses,” cannot be derived from the given statements.<\/p>\n
Here is a more detailed explanation of each option:<\/p>\n
[amp_mcq option1=”None follows” option2=”Only either I or III follows” option3=”Only II and III follow” option4=”Only III and IV follow” correct=”option1″]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[723],"tags":[],"class_list":["post-52907","post","type-post","status-publish","format-standard","hentry","category-logical-deduction","no-featured-image-padding"],"yoast_head":"\n