How can inductive-deductive-abductive reasonings be correlated with pratyaksha-anumana-shabda?

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Question What is the relationship between Pratyakshanumanan Shabda and Inductive, Deductive and Abductive Reasonings? Answer These two arise from very different frames of mind for analyzing the word so the whole hierarchy of Pratyakshanumanan Shabda is usually it arises from the Vedic system of thought and the point of it is to establish the superiority the authority of Shabda as the most most reliable source of knowledge now simultaneously Pratyakshanumanan are not discounted entirely but they are subordinated and used when they are harmonious with the overall purpose of Shabda when it comes to Pratyakshanumanan Shabda sorry when it comes to Inductive, Deductive, Abductive forms of reasoning the frame of reference is that basically we start with what we observe around us and based on that we try to decide what is to be done and what is not to be done that means that what can we know when we start with the world around us and when we try to get knowledge of the world so first of course we observe things and then the observations are practically unlimited let me basically try to find some patterns under those observations so inductive reasoning basically involves trying to discern patterns and then trying to repeat those patterns trying to see if those patterns repeat regularly and thereby we determine whether there is we can make a case for that being that particular thing being intrinsic pattern of nature let’s say for example the law of gravity Newton saw fruit falling at that time and he saw fruit falling and that was a specific observation but from that he tried to he came up with a theory which was basically based on inductive reasoning that all particles of matter attract each other the force that is directly proportional to their mass and indirectly inversely proportional to the square of their distance so most scientific theories at least those which are mainstream and those which are used by technology for transforming the world around us in many ways they are based on primarily on inductive reasoning so inductive reasoning involves some it starts with then involves some some inference the word is sometimes used to refer to guessing now guessing can be simply speculative but inferring is reasonable and even essential while we are functioning in this world and then again we return to in inductive reasoning to conduct the experiment and to verify whether it is right or not so inductive in that sense is a combination of protection and animal then when we talk about abductive about deductive reasoning deductive reasoning we could say it is it is it involves tools that are intuitively true definitionally true so deductive reasoning means 3 plus 5 is going to be 8 so the very nature of mathematics the very defining nature of mathematics such that that is the result that you are going to get so in a in a rough sense we could say that just as shabda has its authoritativeness self-authoritativeness so like that deductive reasoning has its own self-authoritativeness and this authoritativeness comes from its very definition itself now in certain situations the definition itself may be questioned for example by definition triangle will have angles 3 angles combining to 180 now this is due to the very definition of a triangle but suppose a triangle is drawn on a sphere then its angles won’t sum up to 180 degrees that means the deductive reasoning did not be universally true it did not it is not necessarily an absolute truth but by definition it is it is what it is now when we come to