The discussion centers on the use of `typedef` in C programming, particularly in defining structures for tree nodes. The primary argument is that `typedef` simplifies the declaration of types, making code more readable and manageable. It allows programmers to create new type names, which can enhance portability and documentation clarity. The conversation highlights that in C, one must use the `struct` keyword when declaring instances unless a `typedef` is used, which can reduce redundancy. There is also a debate about the necessity of using `typedef` in certain contexts, especially when transitioning from C to C++, where the use of classes eliminates the need for `typedef`. The discussion includes examples of how to properly declare structures and pointers, emphasizing that using `typedef` can help avoid confusion with naming conventions. Additionally, the conversation touches on memory allocation in C, comparing it to C++'s `new` keyword, and clarifies that `malloc` or `calloc` should be used in C for dynamic memory allocation.