Unit 2 Part 1 Flashcard Inductive Reasoning and Compound Statements

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What is Inductive Reasoning?

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Inductive reasoning is a method of reasoning in which a general rule or conclusion is derived from specific examples or patterns.

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What is a Prime Number?

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A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. It has exactly two distinct positive divisors: 1 and itself.

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What is a Rational Number?

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A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

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What does the symbol ∧ represent in logic?

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The symbol ∧ represents conjunction in logic, meaning 'and'.

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What does the symbol ∨ represent in logic?

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The symbol ∨ represents disjunction in logic, meaning 'or'.

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What is a Conjecture?

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A conjecture is an educated guess or hypothesis based on observed patterns or examples.

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What is a Compound Statement?

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A compound statement is a statement formed by combining two or more statements using logical connectives such as 'and', 'or', and 'not'.

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What is the difference between conjunction and disjunction?

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Conjunction (∧) requires both statements to be true, while disjunction (∨) requires at least one statement to be true.

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What is the negation of a statement?

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The negation of a statement is the opposite of the original statement, often represented by the symbol ~.

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What is a pattern in mathematics?

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A pattern in mathematics is a sequence or arrangement that follows a specific rule or formula.