Understanding Propositions

In the previous post, I have promised that we will take our discussion about mathematical proofs to the next level. We will start this journey by learning about propositions. In our daily lives, we often encounter statements that are either true or false. Some examples are shown below. 1.) Australia is an island continent. 2.) […]
Continue reading…

 

A reboot for Proofs from the Book

I have decided to include undergraduate proofs in this blog. We will be studying formal proofs starting with logic (truth tables, logical connectives, etc.) and then study different methods of proofs (direct, indirect, etc). While studying these concepts, we will have numerous examples from different branches of mathematics particularly number theory, probability, and combinatorics. I’m […]
Continue reading…

 

Understanding If-Then Statements Part 1

In this post, we are going to examine the structure and truth table of the conditional statements or if-then statements. If-then statements are used often in mathematical proofs as well as real-life conversations. But before that, let us understand what proposition means. A proposition is a declarative sentence that is either True (T) or false […]
Continue reading…