Inductive reasoning and conditional statements

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7 Terms

1
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conjecture

is an unproven statement based on an observation

Observation: Regina wears a pink shirt on wednesday

today is wednesday

: Regina will wear a pink shirt today

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conditional statement

a statement with an hypothesis and conclusion

  • Today is a Wednesday, so Regina will wear a pink shirt today

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if-then statement

a statement that has: the hypothesis has an if and then has the conclusion

  • If today is a Wednesday, the Regina will wear a pink shirt today.

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Converse

flipping the conjecture and hypothesis


  • If Regina will wear a pink shirt today, then today is Wednesday

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Inverse:

Negating both the hypothesis and conclusion AND flipping it around

  • If today is not a Wednesday, then Regina will not wear a pink shirt toDAY

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Contrapositive:

Flipping the negated hypothesis and conclusion (or write the converse then negate it)


  • If Regina will not wear a pink shirt today, then today is not a Wednesday

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Bi-conditional statement:

Statement that speaks truth and only the truth

  • Statement that has a proven conjecture

  • Iff or if and only if