This type of logic is usually derived from an axiomatic system. It is quite common in science, engineering, computer science, mathematics, and so on. The most common axioms or assumptions involved in this kind of reasoning is:
– If a proposition is known, then it must also be true, otherwise the conclusion follows. – All propositions must have at least two premises. – A proposition can only be proven by evidence of its antecedents. – Every proposition is either true or false.
In order to make an inductive or deductive argument, it is first assumed that the premises or information that are being relied upon are true. After this assumption has been made, the argument is said to be inductive and the conclusion is called deductive.
The second form of logic that is often used is the inductive logic, which is essentially the same as the deductive one. The basic difference between the two is that when using inductive logic, the argument that is being made is usually based on the fact that all the facts that make up a proposition are already known. The conclusion therefore depends on all the facts that support that conclusion.
In inductive logic, the starting point of the argument is the antecedent. A conclusion will then follow if the antecedent and all the supporting evidence of that conclusion have been verified. This is also known as an inference.
To illustrate the above, we can use an example in inductive reasoning. Suppose we are asking: “How do I know that there is a triangle with three sides?” If a certain condition is true, then we know that there is indeed such a thing as a triangle, but if that condition is false, then we do not know whether there exists such a thing.
In this case, we would not have to rely on induction alone to infer the conclusion – we can rely on induction alone and then ask: “Is it evident that there exists such a thing as a triangle with three sides?” We are then able to conclude that such a thing exists.
The deduction, however, is not an all-or-nothing process. As mentioned earlier, we cannot infer that the conclusion of a given argument is always true just because all of the premises have been proven. If the premises cannot be proved, then we can still infer that the conclusion of the given argument is necessarily true. – but only if the conclusion is supported by all of the other premises.
However, the truth of this statement may not always be clear. For example, if the premises are known, but the conclusion is false, then we cannot infer from the premises that the conclusion is always true – rather, we have to take into account whether those premises are known or not, whether the premises are known and then consider the consequences if they are known and the other premises are false.
However, since inductive reasoning is not deductive in nature, it is considered more reliable. than other forms of reasoning – this is especially true when we want to draw reasonable inferences.
For instance, when you are trying to prove something that you know very little about, it can be extremely difficult to make deductive reasoning. You may be wrong in the conclusion you draw if you are relying on just a few premises. – In inductive reasoning, there are many more possibilities and thus, you can never be sure that your conclusion will be correct. – And there are many situations where you need to look at many different things and decide what’s right and what’s wrong, and then you are left with no other choice except to assume what you are looking at is always right.