Dominance of connectives
from class: Math for Non-Math Majors Definition Dominance of connectives refers to the hierarchy or precedence of logical operators when evaluating compound statements. It determines which operations are performed first in the absence of parentheses.
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Predict what's on your test 5 Must Know Facts For Your Next Test Negation (¬) has the highest precedence among common logical operators. Conjunction (∧) and disjunction (∨) have lower precedence than negation but higher than implication (→) and biconditional (↔). Implication (→) takes precedence over biconditional (↔). Parentheses can be used to override the natural dominance of connectives. The correct order of operations is crucial for accurately interpreting and solving logical expressions. Review Questions What is the highest precedence connective among ∧, ∨, →, ↔, and ¬? How does the placement of parentheses affect the evaluation of compound statements? In what order should you evaluate an expression containing ¬, ∧, ∨, →, and ↔?
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