The discussion centers on whether certain mathematical expressions, specifically \(\frac{\pi}{\pi}\) and \((\sin(x))^2 + (\cos(x))^2\), can be considered subsets of the set of integers \(\mathbb{Z}\). It is clarified that \(\frac{\pi}{\pi}\) evaluates to 1, which is an integer, thus making the set {1} a subset of \(\mathbb{Z}\). However, the construction of the number 1 involves non-integer components, prompting a debate on the relevance of the construction process. Ultimately, the consensus is that the final result is what determines membership in the integers, not the method of construction. The discussion concludes with an affirmation of the importance of the final answer in determining subset relationships.