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Conjecture
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an educated guess based on known information
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Inductive Reasoning
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Reasoning that uses a number of specific examples to arrive at a plausable generlization or prediction
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Counterexample
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A false example
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Compound statement
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Two or more statements that are joined
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Statement
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Any sentence that is either true or false, but not both
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Truth value
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The truth or falsity of a statement
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Conjunction
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A compound ststement formed by joing two or more statements with the word and , only true when both staements are true
p ^ q, read p and q
p q p^q
T T T
T F F
F T F F F F |
Disjunction
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A compound statement formed by joing two or more statements with the word or only false when both statements are false
p V q, read p or q
p q pVq
T T T
T F T F T T F F F |
Truth table
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A convient method for organizing the truth values of statements
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Conditional statements
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A statement that can be written in if-then form
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If-then Form
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Written in the form of If p, then q
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Hypthesis
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The phrase immediatly following the word if
If p , then q
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Conclusion
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The phrase immediatly following the word then
If p, then q
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Related conditions
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Other statements based on a given conditional statement
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Conditional
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Given hypothesis and conclusion
p --> q
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