For each of the following syllogisms, translate each statement as close to standard categorical form as possible. Identify the conclusion and premises. Then test its validity using a Venn diagram and the 6 Rules. Discuss soundness. a)Not every gifted student can achieve a high GPA since only students who are able to perform well in exams achieve it and some gifted students are not able to perform well in exams. b)Not all is gold that glitters, for some base metals glitter, and gold is not a base metal.

For each of the following syllogisms, translate each statement as close to standard categorical form as possible. Identify the conclusion and premises. Then test its validity using a Venn diagram and the 6 Rules. Discuss soundness. a)Not every gifted student can achieve a high GPA since only students who are able to perform well in exams achieve it and some gifted students are not able to perform well in exams. b)Not all is gold that glitters, for some base metals glitter, and gold is not a base metal.

Elementary Geometry for College Students

6th Edition

ISBN:9781285195698

Author:Daniel C. Alexander, Geralyn M. Koeberlein

Publisher:Daniel C. Alexander, Geralyn M. Koeberlein

Chapter3: Triangles

Section3.CT: Test

Problem 4CT

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Question

a)Not every gifted student can achieve a high GPA since only students who are able to perform well
in exams achieve it and some gifted students are not able to perform well in exams.
b)Not all is gold that glitters, for some base metals glitter, and gold is not a base metal.

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