Asked by Justin Gillespie on May 09, 2024
Verified
Symbolize the following statement form. Some A are B.
A) (x) (Ax Bx)
B) (x) (Ax ~Bx)
C) (x) (Ax • Bx)
D) (x) (Ax • ~Bx)
E) None of these answers are correct.
Symbolize
To represent something abstractly through another object, form, or idea, often found in art, literature, or symbols in mathematics and logic.
Statement Form
A type of logical expression that, when specific values are substituted for its variables, becomes a statement which can be either true or false.
- Decode the meaning of symbols representing statements.
- Use symbolic logic to represent statements with precision.
Verified Answer
ZK
Zybrea KnightMay 09, 2024
Final Answer :
C
Explanation :
The correct symbolization of "Some A are B" in predicate logic is ∃x(A(x)∧B(x))\exists x (A(x) \land B(x))∃x(A(x)∧B(x)) , which means there exists at least one x such that x is both A and B. Option C correctly represents this logic.
Learning Objectives
- Decode the meaning of symbols representing statements.
- Use symbolic logic to represent statements with precision.