Let's conduct some experiments Conduct a basket of mangoes You want to check whether they're raw or ripe Find out by observing the mangoes individually So we start the process We pick up the mango from the basket and observe it Let see, we find the mango to be raw Then we pick up another mango from the basket Observe it and find that it's raw as well Many of us conclude that all the mangoes in the basket are raw What exactly are we doing here? The assignment to a couple of mangoes in the basket And accordingly arrive
to check the conclusion What is it conclusion? These analyzes the idea by saying that all the mangoes in the basket are raw So by observing, a specific outcome of the experiments we concluded the observation in genius life is false this is proof of reasoning form specific to general. It is called as Inductive reasoning Inductive reasoning is logically true But may or may not be realistic true What does that mean? Let's consider an example Statement 1 says the mango is a fruit And Statement 2 says the box is full of fruits We try to draw a
conclusion from these 2 statements From these statements, we draw the conclusion that the box is full of mangoes Here, statement 1 and 2 are true But the conclusion is wrong. Although, logically true can be false If the basket contains any other of fruits It is logically true but not definitely true So that is called inductive reasoning On the other hand, we have deductive reasoning Take a few second to review both cases Now let's go back to inductive reasoning Did you know that inductive reasoning is frequently used in mathematic By observing the pattern that exceed in
the particular case. These in due to in general These conclusion from that outcome These conclusion we arrive that inductive reasoning is conjecture Conjecture is high positive that is not be proving Just because, we observe the pattern in many cases doesn't mean it's true for all cases Conjecture must be proved for that particular cases To prove such conjecture The principal of mathematical introduction is used Let's discuss it in detail in other next video