Asked by Tekyra Harris on May 09, 2024
Verified
The statement (x) Fx (x) Gx 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
Atomic Singular Statement
A precise declaration about a single entity or event that is not further divisible within the scope of its context.
Quantifier
A linguistic element used in logic to express the frequency, quantity, or scope of a subject within the structure of a logical or mathematical proposition.
Truth-Functional Compound
A truth-functional compound is a complex proposition formed by connecting simpler propositions with logical connectives, where the truth value is determined by the truth values of its components.
- Discern the different kinds of logical assertions present in formal deductive reasoning.
Verified Answer
MP
Michael PanicoMay 12, 2024
Final Answer :
E
Explanation :
The statement involves quantifiers and is a compound of quantified statements, indicated by the presence of "(x)Fx" and "(x)Gx" within a larger logical structure, making it a truth-functional compound of quantified statements.
Learning Objectives
- Discern the different kinds of logical assertions present in formal deductive reasoning.