Principle of argumentation ( about logical operator and truth tree), math
Anonymous

Question Description

homework for logic, we learn the truth tree, truth table

Principle of argumentation ( about logical operator and truth tree), math
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Final Answer

I did it:)  Please read and ask if something is unclear.The contents of docx and pdf is the same.

1.
a. I know you; you are the implication operator :)
b. Logical equality.
c. Exclusive or (XOR).
d. So it works on one statement, the example is negation (logical not).

2. Not that “ordinary” sentence (very long).
a.
If we say that if Aristotle was a teacher of Alexander or Kenneth Burke was a great Canadian Rhetorician then
George Campbell was a great Scottish Rhetorician and Dick Cheney won a Nobel Prize, this is the same as to say that
Elie Wiesel won a Nobel Prize does not imply that Aristotle was a teacher of Alexander and Kenneth Burke was a
great Canadian Rhetorician implies George Campbell was a great Scottish Rhetorician.

b. Truth table. To keep it readable I show T=True only. The last column is the final value.
A

B

C

D

E

A∨B

C∧D

T
T
T
T
T
T
T
T
T
T
T
T
T
T
T
T
T
T
T
T
T
T
T
T
T
T
T
T
T
T
T

T
T

T
T

T
T

T
T
T
T
T
T

T
T

T
T

T
T

T
T
T
T
T
T
T
T
T
T
T
T
T
T

T
T

T
T

T
T

T
T
T
T
T
T

T
T

T
T

T
T

T

T
T
T
T
T
T
T
T
T
T
T
T
T
T
T
T
T
T
T
T
T
T
T
T

A∨B⇒ C∧D
T
T
T
T
T
T
T
T

E⇒A
T

¬(E⇒A)
T

T
T
T
T
T
T

B⇒C
T
T
T
T
T
T
T
T

...

Borys_S (7716)
Carnegie Mellon University

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