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Symbolic Logic and Vocabulary Practice

Learn how to determine statements, write negations, and express compound statements in symbolic and word forms. Practice different connectives and negations. Improve your understanding of symbolic logic with interactive examples.

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Symbolic Logic and Vocabulary Practice

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  1. Symbolic Logic

  2. Objectives • Determine if a sentence or question is a statement or not. • Write a sentence that represents the negation of a given statement. • Rewrite a statement in symbolic form (defining the symbols used). • Rewrite a symbolic statement in word form.

  3. Vocabulary • Statement • Compound statement • Negation • Conjunction • Disjunction (inclusive or) • Conditional (implication) • Hypothesis (premise) • Conclusion

  4. a statement is a sentence that is either true or false • Statement: • Compound statement: a statement that contains one or more simpler statement (not, and, or, if . . . then, only if, if and only if)

  5. Determine which of the following are statements. 2. Solve the equation 2x + 5 = 3. 3. x2 + 1 = 0 has no solution.

  6. Connectives • Negation: • Conjunction: • Disjunction: • Conditional: denial of a statement (symbol: ~) and (symbol: ^) or – inclusive or (symbol: V) if . . ., then (symbol: →)

  7. Write the statement that represents the negation: • His car is not new. • Some buildings are earthquakeproof. • All children eat candy. • I never cry in a movie theater.

  8. Negation Summary

  9. Using the symbolic representationsp: The car costs $40,000.q: The car goes 140 miles per hour.r: The car is red.express the following compound statements in symbolic form. • The car is red, goes 140 mph, and does not cost $40,000.

  10. Using the symbolic representationsp: The car costs $40,000.q: The car goes 140 miles per hour.r: The car is red.express the following compound statements in symbolic form. • If the car does not cost $40,000, it does not go 140 mph.

  11. Using the symbolic representationsp: The car costs $40,000.q: The car goes 140 miles per hour.r: The car is red.express the following compound statements in symbolic form. • The car is red and it does not go 140 mps or cost $40,000.

  12. Using the symbolic representationsp: The car costs $40,000.q: The car goes 140 miles per hour.r: The car is red.express the following compound statements in symbolic form. • All red cars go 140 mph.

  13. Using the symbolic representationsp: I am an environmentalist.q: I recycle my aluminum cans.r: I recycle my newspapers.express the following compound statements in symbolic form.

  14. Using the symbolic representationsp: I am an environmentalist.q: I recycle my aluminum cans.r: I recycle my newspapers.express the following compound statements in symbolic form.

  15. Using the symbolic representationsp: I am an environmentalist.q: I recycle my aluminum cans.r: I recycle my newspapers.express the following compound statements in symbolic form.

  16. Using the symbolic representationsp: I am an environmentalist.q: I recycle my aluminum cans.r: I recycle my newspapers.express the following compound statements in symbolic form.

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