In this chapter, we compare the Nyaya school of logic, one of the six major schools of Hindu philosophy to Aristotelian logic. In particular, we compare the intent, nature, and structure of syllogisms in Nyaya to that in Western mathematical logic to highlight differences in premises and conclusions. In doing so, we draw on the foundational writings and commentaries on Nyaya methodology from both Hindu and Buddhist sources, as well as the major sources of Aristotelian logic. We explore the possibility of Nyaya methodology being influenced by Aristotelian logic before arguing that the Nyaya system developed on its own trajectory. Some modern implications of Nyaya methodology are given.