Weekly Review 15
It’s my weekly review for the 15th week of the 2017 year. Since I work through the “How to Prove It: A Structured Approach” book. This week is all about it.
I finished to work through the “Quantificational Logic” chapter (chapter 2) and did the all exercises here: 2.pdf. It doesn’t mean that I did the all exercises correctly, so feel free to create an issue and submit a pull request on GitHub for improving the solutions.
One year ago I was writing the tests using SmallCheck and had a hard time understanding quantifiers. Finally, after finishing the chapter 2 I understood what does it mean universal (∀) and existential (∃) quantifiers and how to use them. Now, looking at the SmallCheck documentation doesn’t scare me at all and even makes perfect sense!
Moreover, chapter 2 describes such things as the family of sets ℱ, the union of the family of sets ∪ℱ, the intersection of the family of sets ∩ℱ, the power set 𝒫(A) and much more.
I already started to work through “Proofs” (chapter 3) and even finished first 2 sections of the chapter. However, the chapter has 7 sections (the longest chapter so far and I think it’s the core chapter of the book). So, I have ambitious plans to finish the chapter 3. I only 104 exercises away! Some of these exercises can be solved using the Proof designer. It’s the small program which author of the book suggests for proving things.
I need to do the exercise for my English classes and write the small essay about world overpopulation.
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