In Vaisheshika philosophy, logic and reasoning play a crucial role in understanding the concept of atomistic realism. The Vaisheshika school of thought believes that the universe is composed of atoms, which are the ultimate building blocks of all matter. These atoms are eternal, indivisible, and indestructible, and they combine to form different objects and substances in the world.

Logic and reasoning are essential tools in understanding the nature of these atoms and their interactions. Vaisheshika philosophers use logical reasoning to explain the existence and properties of atoms. They believe that atoms possess certain qualities or attributes, such as color, taste, smell, and touch, which can be perceived through our senses. These attributes are known as gunas, and they are the basis for the classification and categorization of atoms.

The Vaisheshika school also uses logic to explain the concept of causation. According to Vaisheshika, every effect has a cause, and this cause-effect relationship can be understood through logical reasoning. For example, the presence of fire causes heat, and the absence of fire causes cold. This logical understanding of causation helps in comprehending the interconnectedness of atoms and their role in the creation and sustenance of the universe.

Furthermore, Vaisheshika philosophy also emphasizes the importance of inference or anumana in understanding the nature of reality. Inference is a process of arriving at a conclusion based on observation and logical reasoning. Vaisheshika philosophers use inference to understand the existence of atoms and their qualities, which are not directly perceivable by the senses. For instance, the existence of atoms cannot be perceived by the senses, but through inference, it can be understood that atoms must exist to explain the composition of matter.

In addition to logic and reasoning, Vaisheshika also places great importance on empirical evidence and observation. The Vaisheshika philosophers believed that knowledge must be based on both reason and experience to be considered valid. Therefore, they encouraged the use of scientific methods and experimentation to understand the nature of atoms and their interactions.

In conclusion, logic and reasoning play a significant role in Vaisheshika's atomistic realism. They are essential tools in understanding the nature of atoms, their properties, and their role in the creation and sustenance of the universe. The Vaisheshika school of thought emphasizes the use of logical reasoning, inference, and empirical evidence to gain a deeper understanding of the ultimate reality.