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Inductive reasoning
Process of reasoning that a rule or statement is true because specific cases are true

Conjecture
A statement you believe to be true based on inductive reasoning

Counter example
Used to show that a conjecture is false

Conditional Statement
"If p, then q"

Hypothesis
Following the word if

Conclusion
part q of the conditional statment

Truth value
true or false




logically equivalent statements
Conditional and its contrapositive, converse, and inverse combined

Deductive reasoning
Process of using logic to draw conclusions from given facts

Biconditional Statement
"p if and only if q"

Proof
an argument that uses logic, definitions, properties, and previously proven statements to show that a conclusion is true

Theorem
Any statement that is proveable

Twocolumn proof
Listing steps on the left column and matching reasons on the right

Flowchart proof
Boxes and arrows to show the structure of the proof

Paragraph proof
A style of proof that presents the steps of the proof and their mtching reasons as sentences in a paragraph

