Chapter 2 Logic Terms
Terms
undefined, object
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- if and only if (iff)
- indicates the if-then order of both the conditional and converse statements
- undefined term
- a term that cannot be completely defined
- Conditional Statement
- a statement that consists of two clauses, one of which begins with if or when or some equivalent word
- Definition
- a statement where the conditional and the converse are both true
- Premise(s) of an argument
- the hypothesis of a syllogism (may include several statements)
- Theorem
- is a statement that is proved by reasoning deductively from already accepted statements
- Converse
- a conditional statement where the "if" and "then" statements are reversed
- Biconditional Statement
- the combination of the conditional and converse statements using iff (if and only if).
- Conclusion
- the "then" clause of a conditional statement
- Hypothesis
- the "if" clause of a conditional statement
- direct proof
- a syllogism is an example of this
- Postulate
- a statement that is asssumed to be true without proof
- Syllogism
- a logical argument of the form: IF both premises "if a then b" AND "if b then c" are true, THEN "if a then c" is true. Can be written: IF a -> b, b -> c THEN a -> c
- Conclusion of an argument
- the "then" clause in a syllogism