IGNOU Assignment

Tautology

What is a Tautology in Logic? A tautology is a logical statement that is always true, regardless of the truth values of its components. It is valid in every possible interpretation or scenario. Tautologies are important in logic because they reflect principles of logical necessity. Symbolic Representation One common tautology is: p ∨ ¬p This

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Middle Term

What is the Middle Term in Logic? In a categorical syllogism, the middle term is the term that appears in both premises but not in the conclusion. Its purpose is to link the subject and predicate of the conclusion logically. Structure Consider the syllogism: Premise 1: All mammals are warm-blooded. (Middle term: mammals) Premise 2:

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Conjunction

What is Conjunction in Logic? In logic, conjunction is a basic logical operation that combines two statements and returns true only when both statements are true. It is symbolized by the “∧” sign and is commonly known as the logical AND. Structure If p and q are two propositions, then their conjunction is written as:

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Deductive reasoning

What is Deductive Reasoning? Deductive reasoning is a logical process in which a specific conclusion is drawn from a set of general premises. If the premises are true and the reasoning is valid, the conclusion must also be true. This method is commonly used in mathematics, science, and philosophy. Structure Deductive reasoning often follows the

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What are the factors which determine the mood of a syllogism?

Understanding the Mood of a Syllogism In traditional logic, a syllogism is a form of reasoning where a conclusion is drawn from two premises. The “mood” of a syllogism refers to the specific combination of the types of categorical propositions (A, E, I, O) used in its premises and conclusion. These factors are essential in

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Differentiate ‘Proposition’ from ‘Sentence’.

Proposition vs. Sentence In logic, the terms “proposition” and “sentence” may seem similar, but they have different meanings. Understanding the difference is important for anyone studying logical reasoning. What is a Proposition? A proposition is the meaning or content of a declarative sentence that can be either true or false. It is abstract and does

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Differentiate between connotation and denotation with suitable examples.

Understanding Connotation and Denotation Connotation and denotation are two important aspects of meaning in language and logic. While denotation refers to the literal or dictionary meaning of a word, connotation involves the emotional, cultural, or implied meaning that goes beyond the literal definition. What is Denotation? Denotation is the direct, explicit meaning of a word.

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