Validating Statement Using Truth Tables: Failed Basket-Weaving 101

  • Context: MHB 
  • Thread starter Thread starter trevor
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Discussion Overview

The discussion revolves around the validity of a logical statement related to the implications of studying and failing a course in basket-weaving. Participants explore the use of truth tables to verify the validity of the argument presented.

Discussion Character

  • Mathematical reasoning

Main Points Raised

  • One participant presents a logical statement involving studying and failing a course, asking for validation through truth tables.
  • Another participant inquires if a truth table has been constructed and suggests breaking down the statements into implications for clarity.
  • A third participant echoes the request for a truth table and offers to share their findings later.
  • One participant recommends using mnemonic names for propositions to simplify the logical expressions.

Areas of Agreement / Disagreement

Participants appear to agree on the need for a truth table but do not reach a consensus on the validity of the statement itself, as the discussion remains open-ended.

Contextual Notes

There are no explicit assumptions or definitions provided, and the discussion does not resolve the mathematical steps involved in constructing the truth table.

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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