likely to be true.
Inductive reasoning varies from deductive reasoning as follows: 1) inductive reasoning is a reason supporting an argument and 2) deductive reasoning is an argument against an argument.
Please remember proof gives absolute truth, which means it HAS to be true for all cases satisfying the condition. Hence, inductive reasoning will NEVER be able to be used for that ---- it only supposes that the OBSERVED is true than the rest must, that's garbage, if it's observed of course it's true (in Math), no one knows what will come next. But it's a good place to start, inductive reasoning gives a person incentive to do a full proof. Do NOT confuse inductive reasoning with inductive proof. Inductive reasoning: If a1 is true, a2 is true, and a3 is true, than a4 should be true. Inductive Proof: If a1 is true (1), and for every an, a(n+1) is true as well (2), then, since a1 is true (1), then a2 is true (2), then a3 is true (2). You see, in inductive proof, there is a process of deductive reasoning ---- proving (1) and (2). (1) is usually, just plugin case 1. (2) provides only a generic condition, asking you to derive the result (a (n+1) being true), that is deductive reasoning. In other words, proof uses implications a cause b, and b cause c hence a cause c. Inductive says though a causes c because I saw one example of it.
Inductive reasoning is used to seek strong evidence for the truth of the conclusion. Looking at different pictures side by side then trying to figure out the pattern is inductive reasoning.
Rabelais
? ? True
It moves from specific to general
true
likely to be true.
true
FALSE
likely
true
Yes
true----APEX ;)
Inductive true.
Examples of inductive reasoning are numerous. Lots of IQ or intelligence tests are based on inductive reasoning. Patterns and inductive reasoning are closely related. Find here a couple of good examples of inductive reasoning that will really help you understand inductive reasoning But what is inductive reasoning? Inductive reasoning is making conclusions based on patterns you observe.