Converse, inverse and contrapositive

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    Contrapositive Inverse
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SUMMARY

The discussion focuses on the logical concepts of converse, inverse, and contrapositive as they relate to the statement "All engineers have practical skills or are good at mathematics." Participants emphasize the necessity of identifying the hypothesis and conclusion to formulate these logical implications correctly. The statement can be rephrased into an "if... then..." format, which is essential for deriving the converse, inverse, and contrapositive. Understanding these terms is crucial for anyone studying logic or mathematical reasoning.

PREREQUISITES
  • Understanding of logical implications
  • Familiarity with hypothesis and conclusion in statements
  • Basic knowledge of mathematical logic terminology
  • Ability to construct "if... then..." statements
NEXT STEPS
  • Study the definitions and examples of converse, inverse, and contrapositive
  • Practice converting statements into "if... then..." format
  • Explore logical equivalences in mathematical reasoning
  • Learn about the applications of these concepts in proofs and problem-solving
USEFUL FOR

Students of mathematics, educators teaching logic, and anyone interested in enhancing their understanding of logical reasoning and implications.

phydis
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"All engineers have practical skills or are good at mathematics"

to write down the converse, inverse and contrapositive for the above statement, I have to find the hypothesis and the conclusion of the statement. but how? is there any other way to write converse, inverse and contrapositive without thinking of hypothesis and conclusion ?? :confused:
 
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The terms "converse", "inverse" and "contrapositive" refer to implications. That is: statements of the form "If ... then ...".

So your first task is to write it as an "if ... then ..." statement. Otherwise, the question can't be solved.
 
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"All engineers have practical skills or are good at mathematics"

How can I write this as an "if... then.." statement ?
 
If you're an engineer then ...
 
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