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What is Natural Language?
Languages used for daily communication, such as English, French, or Arabic, which do not conform to strict grammatical rules.
What is Formal Language?
A rigorously defined language that follows specific syntactical rules for creating expressions, often used in mathematics and computer science.
What are Basic Propositions?
The essential elements of formal logic, symbolized by uppercase letters (like A, B, C), which are standalone and have no internal structure.
What is Negation?
The logical operation of denying a proposition; indicated by the symbol ¬, it reverses the truth value of the original statement.
What is Conjunction?
A logical operation that combines two propositions into a single statement that is true only when both components are true; represented by ∧ (and).
What is Disjunction?
A logical operation that links two propositions, yielding a true statement if at least one proposition is true; indicated by ∨ (or).
What is a Conditional?
A logical statement expressing that one proposition implies another, represented by the symbol → (implies).
What is a Biconditional?
A logical connection indicating that two propositions are equivalent, marked by the symbol ↔ (if and only if).
What is a Well-formed Formula (Wff)?
A correctly structured expression in propositional logic that adheres to established syntax rules, allowing valid interpretation.
What is a Main Connective?
The primary logical operator in a compound proposition that ultimately determines the overall structure and meaning of that proposition.