What This Document Is
These are lecture notes for Lesson Sixteen of Intro to Logic I (PHIL 110) at the University of South Carolina. The core focus is building proficiency in constructing formal proofs, specifically delving into the proper application of subproofs – a crucial technique for tackling more complex logical arguments. The material builds upon previously covered proof rules and introduces strategies for effectively approaching proof construction. It also references associated PowerPoint slides used during the lecture.
Why This Document Matters
This resource is invaluable for students currently enrolled in an introductory logic course. It’s particularly helpful when you’re actively practicing proof construction and finding yourself stuck or unsure about the correct application of proof rules. Reviewing these notes alongside textbook examples and assigned problem sets will reinforce your understanding of logical deduction. It’s best used *while* you’re working through homework assignments, or as preparation for quizzes and exams focusing on proof techniques. Students who struggle with breaking down complex arguments into manageable steps will find the strategic advice particularly beneficial.
Common Limitations or Challenges
These notes are designed to *supplement* – not replace – active learning and engagement with the course material. They do not contain fully worked-out proofs or solutions to assigned exercises. The notes reference specific examples and exercises from the course textbook, so access to the textbook is essential for full comprehension. Furthermore, the notes assume a foundational understanding of the basic proof rules covered in prior lessons.
What This Document Provides
* A review of key principles for utilizing subproofs within larger proofs.
* Guidance on avoiding common errors when employing subproofs.
* Strategies for approaching proof construction, including techniques for understanding sentence meanings and working both forwards and backwards.
* References to relevant sections within the course textbook for further study.
* Information regarding practice materials, including a practice midterm exam and associated answer key (available separately).
* Highlights of specific homework assignments to prioritize for skill development.
