I. Modified TRUE or FALSE. Write Totoo if statement is true and Char if statement if false. For fal statement, justify why statement is false. You may give a counterexample 1. An argument is a conditional proposition whose conclusion is always false. 2. Every true statement is a tautology. 3. If all giraffes are mammals then all birds can fly.

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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I. Modified TRUE or FALSE. Write Totoo if statement is true and Char if statement if false. For false
statement, justify why statement is false. You may give a counterexample
1. An argument is a conditional proposition whose conclusion is always false.
2. Every true statement is a tautology.
3. If all giraffes are mammals then all birds can fly.
4. The statement "p: z is a real number not zeo." is a proposition.
5. Every proposition is a declarative sentence.
6. We always prove an argument.
7. Consider the argument:
When donkeys fly then monkeys sleep. Monkeys sleep while
birds sing. Then either donkeys fly and birds sing.
This argument is a contradiction.
8. Suppose a declarative sentence is either true or false, then it is a proposition.
9. If p,q, r are elementary propositions, then the truth table of [(p → q) ^ (qV ~ r)] ++ (~ p) has 8
columns.
10. Contingencies may be a tautology.
Transcribed Image Text:I. Modified TRUE or FALSE. Write Totoo if statement is true and Char if statement if false. For false statement, justify why statement is false. You may give a counterexample 1. An argument is a conditional proposition whose conclusion is always false. 2. Every true statement is a tautology. 3. If all giraffes are mammals then all birds can fly. 4. The statement "p: z is a real number not zeo." is a proposition. 5. Every proposition is a declarative sentence. 6. We always prove an argument. 7. Consider the argument: When donkeys fly then monkeys sleep. Monkeys sleep while birds sing. Then either donkeys fly and birds sing. This argument is a contradiction. 8. Suppose a declarative sentence is either true or false, then it is a proposition. 9. If p,q, r are elementary propositions, then the truth table of [(p → q) ^ (qV ~ r)] ++ (~ p) has 8 columns. 10. Contingencies may be a tautology.
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