Problem of the Week # 163 - May 12, 2015

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In summary, The participants in the conversation were discussing the benefits of exercise and how it can improve overall health and well-being. They also mentioned how regular exercise can lead to better sleep, increased energy levels, and improved mental health. Additionally, they emphasized the importance of finding an exercise routine that is enjoyable and sustainable. Overall, the conversation highlighted the numerous positive effects of exercise on both physical and mental health."
  • #1
Ackbach
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MHB
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Here is this week's POTW:

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Construct a formal proof of the following propositional statement: $(P\to (Q\to R)) \leftrightarrow ((P\land Q)\to R)$. Here $\to$ means "implies", $\leftrightarrow$ means "if and only if", and $\land$ means "and". Make sure to mention what deductive system you are using (Copi's 19 Rules, Natural Deduction, etc.).

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Remember to read the http://www.mathhelpboards.com/showthread.php?772-Problem-of-the-Week-%28POTW%29-Procedure-and-Guidelines to find out how to http://www.mathhelpboards.com/forms.php?do=form&fid=2!
 
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  • #2
No one answered this week's POTW. Here is my solution:

This is a Fitch-style proof using natural deduction.

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Related to Problem of the Week # 163 - May 12, 2015

1. What is the problem of the week for May 12, 2015?

The problem of the week for May 12, 2015 is #163, which focuses on the concept of probability and decision making.

2. How often are new problems of the week posted?

New problems of the week are posted every week on Tuesday.

3. What is the purpose of the problem of the week?

The problem of the week is designed to challenge and engage students in critical thinking and problem solving skills related to various scientific concepts.

4. Are the problems of the week suitable for all ages?

Yes, the problems of the week are designed to be accessible for students of all ages and can be adapted to different levels of difficulty.

5. How can I submit my solution to the problem of the week?

You can submit your solution by emailing it to the designated email address provided in the problem of the week post. Make sure to follow the submission guidelines and include your name and contact information.

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