What is wrong with this proof? Theorem. 7 is divisible by 3 Proof. Every integer number is divisible by 3 or it is not. Let c be an arbitrary integer number. Therefore, it is divisible by 3 or it is not. Suppose it is divisible by 3. By the rule of universal generalization, if an arbitrary number is divisible by 3, every number is is divisible by 3. Therefore, 7 is divisible by 3.
What is wrong with this proof? Theorem. 7 is divisible by 3 Proof. Every integer number is divisible by 3 or it is not. Let c be an arbitrary integer number. Therefore, it is divisible by 3 or it is not. Suppose it is divisible by 3. By the rule of universal generalization, if an arbitrary number is divisible by 3, every number is is divisible by 3. Therefore, 7 is divisible by 3.
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
Chapter11: Rational And Irrational Numbers
Section11.8: Adding And Subtracting Radicals
Problem 5E
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What is wrong with this proof?
Theorem. 7 is divisible by 3
Proof. Every integer number is divisible by 3 or it is not. Let c be an arbitrary integer number. Therefore, it is divisible by 3 or it is not. Suppose it is divisible by 3. By the rule of universal generalization, if an arbitrary number is divisible by 3, every number is is divisible by 3. Therefore, 7 is divisible by 3.
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