Logical Implications: A, C, and the Outcome

  • Context: High School 
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Discussion Overview

The discussion revolves around logical implications involving statements A, B, and C. Participants explore the implications of A implying B and C implying not B, particularly in a scenario where both A and C are true. The context includes a humorous anecdote related to a personal situation.

Discussion Character

  • Debate/contested

Main Points Raised

  • One participant poses a logical question regarding the implications of A and C occurring simultaneously.
  • Another participant asserts that the combination of the statements leads to a contradiction, suggesting that the scenario is logically false.
  • A third participant seeks clarification on the abbreviation "IOW."
  • A fourth participant provides the meaning of "IOW" as "In Other Words."

Areas of Agreement / Disagreement

Participants do not reach a consensus on the implications of the statements, as one asserts a logical contradiction while the original question remains open for further exploration.

Contextual Notes

The discussion does not resolve the implications of the statements fully, leaving the logical relationships and their interpretations open to further analysis.

wasteofo2
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Anyone know what the answer to this would be?
A implies B
C implies not B
What happens when both A and C occur?

I just asked my brother if he wanted to play basketball with me and my father. He said (as a joke) if I were going, he wouldn't go, but if my father were going, he would go. We were both going. So mathematically, which would he do?
 
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The statemetn [itex](A \Rightarrow B) \wedge (C \Rightarrow \neg B) \wedge (A \wedge C)[/itex] is identically false. IOW your brother lied. :smile:
 
What does IOW mean?
 
In Other Words
 

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