Select the Best Translation into Predicate Logic, Using the Following

question 29

Multiple Choice

select the best translation into predicate logic, using the following translation key:
a: one
b: two
c: three
f(x) : the successor of x
g(x,y) : the sum of x and y
Nx: x is a number
Dxy: x is divisible by y
Gxy: x is greater than y
-If a number is divisible by three, then the sum of its successor with the successor of one is also divisible by three.

• A) Dcc ⊃ g(f(x),f(a))c
• B) Dcc ⊃ Dg(f(c))f(a)c
• C) (∀x){Nx ⊃ [Dcx ⊃ Dg(f(x),f(a))c}
• D) (∀x){Nx ⊃ [Dxc ⊃ Dg(f(a),f(a))c}
• E) (∀x)[(Nx • Dxc) ⊃ Dg(f(x),f(a))c]

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Definitions:

Volunteer Bias

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A method of changing behavior where an individual learns to link a new behavior with a stimulus that was previously not related to it.

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The systematic investigation into and study of materials and sources in order to establish facts and reach new conclusions.

Cognitive Perspective

A psychological approach that emphasizes mental processes such as perception, memory, thought, and problem solving, and how they may influence behavior.