Validating Statement Using Truth Tables: Failed Basket-Weaving 101

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  • Thread starter Thread starter trevor
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SUMMARY

This discussion focuses on validating logical statements using truth tables in the context of a basket-weaving course. The premises include "If I study, then I will not fail basket-weaving 101" and "If I do not play cards too often, then I will study." The conclusion drawn is that failing the course implies playing cards too often. Participants emphasize the importance of constructing a truth table and suggest using mnemonic names for propositions to simplify the process.

PREREQUISITES
  • Understanding of logical implications and statements
  • Familiarity with truth tables
  • Basic knowledge of propositional logic
  • Ability to construct and analyze logical arguments
NEXT STEPS
  • Learn how to construct truth tables for complex logical statements
  • Study propositional logic and its applications in reasoning
  • Explore the use of mnemonic devices in logical reasoning
  • Practice validating arguments using truth tables with various examples
USEFUL FOR

Students in logic courses, educators teaching logical reasoning, and anyone interested in enhancing their critical thinking skills through the use of truth tables.

trevor
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If I study, then I will not fail basket-weaving 101. If I do not play cards to often, then
I will study. I failed basket-weaving 101. Therefore, I played cards too often. Is this
statement valid (use truth tables to verify).
 
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trevor said:
If I study, then I will not fail basket-weaving 101. If I do not play cards to often, then
I will study. I failed basket-weaving 101. Therefore, I played cards too often. Is this
statement valid (use truth tables to verify).

Have you constructed a truth table? Care to share? :). If not, I recommend breaking down all the words into a string of implications. For example, let A be the statement "I study", B be the statement "I failed basket-weaving" etc and use these to help with the truth table.
 
Joppy said:
Have you constructed a truth table? Care to share? :). If not, I recommend breaking down all the words into a string of implications. For example, let A be the statement "I study", B be the statement "I failed basket-weaving" etc and use these to help with the truth table.

Thank you. I will send what I find
 
I would also recommend using mnemonic names for propositions, such as $S$ for "I studied" and $F$ for "I failed basket-weaving".
 

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