Asked by Jessica Watkins on May 03, 2024
Verified
The statement Fa Ga is which kind of statement?
A) atomic singular statement
B) truth-functional compound of singular atomic statements
C) quantifier applied to atomic open sentence
D) truth-functional compound of open sentences within the scope of a quantifier
E) truth-functional compound of quantified statements
Truth-functional Compound
A compound statement whose truth value is determined by the truth values of its constituent statements through specific logical operations.
Quantifier
A logical operator that specifies the quantity of specimens in the domain of discourse that satisfies an open formula.
Atomic Open Sentence
An expression in logic or mathematics that contains one or more variables and becomes either true or false when the variables are replaced with specific values.
- Recognize the differences between individual atomic statements and several compound statements involving quantifiers and truth-functional mechanisms.
Verified Answer
ZK
Zybrea KnightMay 06, 2024
Final Answer :
B
Explanation :
The statement consists of three atomic singular statements (Fa, , and Ga) combined by the truth-functional connective "". Therefore, it is a truth-functional compound of singular atomic statements.
Learning Objectives
- Recognize the differences between individual atomic statements and several compound statements involving quantifiers and truth-functional mechanisms.