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Logic Quiz #1
Definitions
| Question | Answer |
|---|---|
| Conjunction | In logic, a conjunction combines two statements with the word "and". |
| Symbols | A single letter of the alphabet may replace an entire sentence in logic. The most commonly used letters in logic are P, Q, and R. |
| Truth Tables | A truth table is a compact way of listing symbols to show all the possible truth values for a set of sentences. |
| Truth Table For a Conjunction | P/Q/P^Q T/T/ T T/F/ F F/T/ F F/F/ F |
| Truth Table For a Disjunction | P/Q/PvQ T/T/ T T/F/ F F/T/ F F/F/ F |
| Logic | The study of sound reasoning. Logic focuses on the study of arguments. |
| Negation | A negation is the opposite truth value of a statement or sentence. |
| Disjunction | In logic, a disjunction combines two statements with the word "or". |
| Conditional Statements | "If, then" statements. |
| Premise/Hypothesis | The "if" part of the statement. |
| Conclusion/Consequent | The "then", or the result in the argument. |
| Argument | Made up of the premise/hypothesis and the consequent/conclusion. |
| Phrase | An incomplete sentence. |
| Truth Value | Whether or not a statement is true or false |
| Truth Table For a Conditional | P/Q/P->Q T/T/ T T/F/ F F/T/ T F/F/ T |
| ^ | and |
| v | or |
| -> | if |
| ~ | not |
| Truth Table For a Negation | P/~P T/ F F/ T |