MPYE-001 Logic Assignment – Master Index This master post contains all questions from the MPYE-001 Logic assignment along with direct links to each detailed answer post. Click the links below to view each response. Section 1 – Long Answer Questions (500+ words) What is Boolean algebra? Write an essay on Logical gates, showing their graphical […]
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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
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:
Understanding Dilemma in Logic In logic, a dilemma is a form of argument that presents two or more alternatives, each of which leads to the same conclusion. It is often used to show that no matter which option is chosen, a particular result follows. Dilemmas can be used as both rhetorical and logical tools. Structure
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:
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 is a Categorical Syllogism? A categorical syllogism is a form of deductive reasoning consisting of three statements: two premises and one conclusion. Each statement is a categorical proposition, and the syllogism follows a fixed logical structure. Structure Major Premise: Contains the major term (predicate of the conclusion). Minor Premise: Contains the minor term (subject
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What is Existential Instantiation? Existential instantiation is a logical rule used in predicate logic. It allows us to take a general existential statement and infer a specific instance of it. This is helpful in logical proofs where we need to work with a particular example from a general statement. Definition From the statement “∃x P(x)”
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Understanding Figure in Categorical Syllogism In traditional logic, a syllogism has a structure determined by its mood and figure. There are four figures in syllogisms, each based on the position of the middle term in the premises. Figure is the most complex and less frequently used of these. Structure of Figure In Figure , the
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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