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Using the symbolization key given, translate each English-language sentence into Modal Logic, and translate each Modal Logic sentence into natural language (English preferred). O = My pizza has onions on it S = My pizza has sausage on it C = My pizza has cheese on it P = My pizza is vegan %3D 1. My pizza doesn't have onions, but, if it has cheese on it then, necessarily, it's not vegan. 2. If it's possible that my pizza is vegan, then it's not necessary that my pizza has cheese and onion. 3. Necessarily, if my pizza is vegan then it has neither cheese nor sausage. 4. If my pizza is necessarily vegan, then, necessarily it has neither cheese nor sausage. 5. My pizza has onions on it, and it doesn't have cheese on it. But it's possible that it has cheese on it. 6. OS v 0(C A 0) 7. o(oS + 0-P) 8. OOP → DOP

Using the symbolization key given, translate each English-language sentence into Modal Logic, and translate each Modal Logic sentence into natural language (English preferred). O = My pizza has onions on it S = My pizza has sausage on it C = My pizza has cheese on it P = My pizza is vegan %3D 1. My pizza doesn't have onions, but, if it has cheese on it then, necessarily, it's not vegan. 2. If it's possible that my pizza is vegan, then it's not necessary that my pizza has cheese and onion. 3. Necessarily, if my pizza is vegan then it has neither cheese nor sausage. 4. If my pizza is necessarily vegan, then, necessarily it has neither cheese nor sausage. 5. My pizza has onions on it, and it doesn't have cheese on it. But it's possible that it has cheese on it. 6. OS v 0(C A 0) 7. o(oS + 0-P) 8. OOP → DOP

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter10: Inequalities
Section10.3: Solving Problems Involving Inequalities
Problem 28E
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Using the symbolization key given, translate each English-language sentence into Modal Logic, and translate each Modal Logic sentence into natural language (English preferred). O = My pizza has onions on it S = My pizza has sausage on it C = My pizza has cheese on it P = My pizza is vegan 1. My pizza doesn't have onions, but, if it has cheese on it then, necessarily, it's not vegan. 2. If it's possible that my pizza is vegan, then it's not necessary that my pizza has cheese and onion. 3. Necessarily, if my pizza is vegan then it has neither cheese nor sausage. 4. If my pizza is necessarily vegan, then, necessarily it has neither cheese nor sausage. 5. My pizza has onions on it, and it doesn't have cheese on it. But it's possible that it has cheese on it. 6. OS V 0(C A 0) 7. O(OS + 0-¬P) 8. OOP → OOP Using the symbolization key given, translate each English-language sentence into Modal Logic
Transcribed Image Text:Using the symbolization key given, translate each English-language sentence into Modal Logic, and translate each Modal Logic sentence into natural language (English preferred). O = My pizza has onions on it S = My pizza has sausage on it C = My pizza has cheese on it P = My pizza is vegan 1. My pizza doesn't have onions, but, if it has cheese on it then, necessarily, it's not vegan. 2. If it's possible that my pizza is vegan, then it's not necessary that my pizza has cheese and onion. 3. Necessarily, if my pizza is vegan then it has neither cheese nor sausage. 4. If my pizza is necessarily vegan, then, necessarily it has neither cheese nor sausage. 5. My pizza has onions on it, and it doesn't have cheese on it. But it's possible that it has cheese on it. 6. OS V 0(C A 0) 7. O(OS + 0-¬P) 8. OOP → OOP Using the symbolization key given, translate each English-language sentence into Modal Logic
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