LOGIC HOMEWORK #4

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Grand Valley State University *

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103

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Philosophy

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Feb 20, 2024

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LOGIC HOMEWORK #4 NAME__George Shaieb____ 1. If it is FALSE that “all of my friends were arrested at the party Friday night” then is it true or false or indeterminate that: a. Some of my friends were not arrested at the party Friday night. True b. Some of my friends were arrested at the party Friday night. True c. Every single one of my friends was arrested at the party Friday night. False d. All of those arrested at the party Friday night were friends of mine. Indetermined e. Some of those arrested were not friends of mine. True 2. If it is TRUE that “some unkind people are generous with their time” then it is true or false or indeterminate that: a. A few of the people who are generous with their time are unkind. True b. Every person who is unkind is generous with their time. Indetermined c. All generous people are kind. False
d. Some stingy people are kind. Indetermined e. Many unkind people are not stingy with their time. True 3. Transform the following propositions according to the instructions. Put the transformed statement into standard format. Also indicate if the transformed proposition is true or false or indeterminate, if the given proposition is FALSE. a. The converse of “no marsupials animals are cold blooded” is— Converse: No cold-blooded animals are marsupials. Indetermined b. The obverse of ”most untrustworthy people are unfriendly” is— Obverse: No friendly people are trustworthy. Indetermined c. The contrapositive of “all drunks are unhealthy” is— Contrapositive: All healthy individuals are not drunk. Indetermined d. The contradictory of “no contestant will receive a trophy” is— Contradictory: Some contestants will receive a trophy. True e. The obverse of “many happy people are not irresponsible” is— Obverse: All irresponsible people are not happy. Indetermined f. The sub-contrary of “some irresponsible people are not happy” is— Sub-Contrary: Some happy people are not irresponsible. Indetermined g. The subaltern of “everyone on the ship that sank was very lucky” is— Subaltern: Some lucky individuals were on the ship that sank. Indetermined
h. The contrary of “no one at the party was sober” is— Contrary: Some individuals at the party were sober. True i. The obverse of the converse of “lots of sick people are able to bear up under their affliction” is— Obverse of the converse: No one who can bear up under their affliction is sick. Indetermined j. The contradictory of the contrapositive of “all inedible plants are indigestible” is— Contradictory of the contrapositive: Some indigestible plants are edible. True
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