As this course comes to an end, thank you for your support t…

As this course comes to an end, thank you for your support throughout the semester—for showing up, participating, and putting in the effort. Some of the specific concepts we covered may fade over time, and that’s okay. What I hope stays with you is something more important: the habit of thinking critically—asking whether something is really true, whether there might be another explanation, and whether the evidence truly supports the conclusion. Thank you again, and I wish you all the best in your future studies and career!

The following argument is valid. Please use the TF method to…

The following argument is valid. Please use the TF method to confirm that the argument is valid. Then construct a formal proof. The formal proof must be constructed as I did in the video lectures as well as the homework assignments. Include the appropriate headings and numbering.