Conjunctive Normal Form (CNF)
Conjunctive Normal Form (CNF) is a standardized way to represent logical formulas. It expresses a formula as a conjunction (AND) of clauses, where each clause is a disjunction (OR) of…
Conjunction Introduction: Rule of Inference
Learn about the conjunction introduction, a fundamental rule of inference in logic. It permits combining two separate statements into a single, compound statement, known as a conjunction.
Conjunction Elimination
Conjunction elimination is a fundamental rule of inference in propositional logic. It permits the deduction of a single conjunct from a compound proposition joined by a conjunction.
Conjunction in Logic
A conjunction, often represented by 'and', is a logical connective. It asserts that two or more statements are true simultaneously, meaning the entire compound statement is only true if all…
Understanding Conjuncts in Logic
A conjunct is a statement within a conjunction. For the entire conjunction to be true, every individual conjunct must also be true. This is fundamental to logical reasoning.
Congruence Relation
A congruence relation is an equivalence relation that preserves the operations within an algebraic structure, like addition or multiplication in groups. It partitions elements into compatible classes.
Conditionalization in Logic
Conditionalization forms a conditional statement from an argument. Its antecedent is the conjunction of premises, and its consequent is the conclusion. This creates a new logical formula.
Conditional Proof in Logic
A conditional proof is a logical technique used to establish a conditional statement. It involves assuming the antecedent and deducing the consequent, thereby proving the entire "if-then" statement.
Conditional Probability
Conditional probability measures the likelihood of an event happening, given that another event has already occurred. It's fundamental in statistics and decision-making.
Conditional Logic
Conditional logic explores the properties of the conditional connective, a fundamental concept in reasoning. It examines how propositions relate through 'if...then' statements and their implications in formal systems.