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(4) Every cockroach that is clever eats garbage. There is a cockroach that likes dirt or does not like dust. For each cockroach, it is not the case that it likes dirt or eats garbage. Therefore there is a cockroach such that it is not the case that if it is not clever then it likes dust.

(4) Every cockroach that is clever eats garbage. There is a cockroach that likes dirt or does not like dust. For each cockroach, it is not the case that it likes dirt or eats garbage. Therefore there is a cockroach such that it is not the case that if it is not clever then it likes dust.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Exercise 1.5.12. Write a derivation for each of the following arguments. (1) Every fish that is bony is not pleasant to eat. Every fish that is not bony is slimy. Therefore every fish that is pleasant to eat is slimy. (2) Each high school student in Slumpville who takes an honors class is cool. There is a high school student in Slumpville who is smart and not cool. There- fore there is a high school student in Slumpville who is smart and not taking an honors class. (3) Every baby who eats will make a mess and drool. Every baby who drools will smile. There is a baby who eats and screams. Therefore there is a baby who smiles. (4) Every cockroach that is elever eats garbage. There is a cockroach that likes dirt or does not like dust. For each cockroach, it is not the case that it likes dirt or eats garbage. Therefore there is a cockroach such that it is not the case that if it is not clever then it likes dust.
Transcribed Image Text:Exercise 1.5.12. Write a derivation for each of the following arguments. (1) Every fish that is bony is not pleasant to eat. Every fish that is not bony is slimy. Therefore every fish that is pleasant to eat is slimy. (2) Each high school student in Slumpville who takes an honors class is cool. There is a high school student in Slumpville who is smart and not cool. There- fore there is a high school student in Slumpville who is smart and not taking an honors class. (3) Every baby who eats will make a mess and drool. Every baby who drools will smile. There is a baby who eats and screams. Therefore there is a baby who smiles. (4) Every cockroach that is elever eats garbage. There is a cockroach that likes dirt or does not like dust. For each cockroach, it is not the case that it likes dirt or eats garbage. Therefore there is a cockroach such that it is not the case that if it is not clever then it likes dust.
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