PHIL222 - The Syntax of PL (propositional logic).

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15 Terms

1

What is Natural Language?

Languages used for daily communication, such as English, French, or Arabic, which do not conform to strict grammatical rules.

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2

What is Formal Language?

A rigorously defined language that follows specific syntactical rules for creating expressions, often used in mathematics and computer science.

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3

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.

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4

What is Negation?

The logical operation of denying a proposition; indicated by the symbol ¬, it reverses the truth value of the original statement.

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5

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).

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6

What is Disjunction?

A logical operation that links two propositions, yielding a true statement if at least one proposition is true; indicated by ∨ (or).

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7

What is a Conditional?

A logical statement expressing that one proposition implies another, represented by the symbol → (implies).

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8

What is a Biconditional?

A logical connection indicating that two propositions are equivalent, marked by the symbol ↔ (if and only if).

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9

What is a Well-formed Formula (Wff)?

A correctly structured expression in propositional logic that adheres to established syntax rules, allowing valid interpretation.

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10

What is a Main Connective?

The primary logical operator in a compound proposition that ultimately determines the overall structure and meaning of that proposition.

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