# Deductive reasoning

Deductive reasoning is a method of reasoning in which a conclusion is drawn from a set of premises. The premises of a deductive argument are intended to provide strong support for the conclusion. Deductive reasoning is often contrasted with inductive reasoning, which is a method of reasoning in which a conclusion is drawn from a set of premises but the premises are not intended to provide strong support for the conclusion.

Deductive reasoning is valid if the premises of the argument are true and the argument is sound. An argument is sound if the premises of the argument support the conclusion of the argument. An argument is valid if the conclusion of the argument follows logically from the premises of the argument.

The following is an example of a deductive argument:

All men are mortal.

Socrates is a man.

Therefore, Socrates is mortal.

This argument is valid because the conclusion follows logically from the premises. The premises of the argument are also true. Therefore, the argument is sound.

#### What is meant by deductive reasoning?

Deductive reasoning is a form of reasoning in which a conclusion is drawn from one or more premises. The premises of a deductive argument are intended to provide strong support for the conclusion. If the premises of a deductive argument are true, then the conclusion must be true.

#### What is inductive vs deductive reasoning?

Deductive reasoning is a logical process in which a conclusion is drawn from one or more premises that are asserted or assumed to be true. The conclusion of a deductive argument is certain, if the premises are true.

Inductive reasoning, on the other hand, is a method of reasoning in which the conclusion is drawn from a set of observations or facts. The conclusion of an inductive argument is probable, but not certain.

##### What are some examples of deductive arguments?

A deductive argument is an argument in which it is claimed that the premises of the argument entail the conclusion of the argument. In other words, the conclusion of the argument is a logical consequence of the premises.

Here are some examples of deductive arguments:

1. All men are mortal.
2. Socrates is a man.
3. Therefore, Socrates is mortal.

This is a valid deductive argument. The premises of the argument do in fact entail the conclusion of the argument.

1. All men are mortal.
2. Socrates is not a man.
3. Therefore, Socrates is not mortal.

This is not a valid deductive argument. The premises of the argument do not entail the conclusion of the argument.

### What's an example of inductive reasoning?

Inductive reasoning is a process of reasoning in which the premises are used to draw conclusions. The conclusion is based on the evidence, and the evidence is used to support the conclusion. In other words, inductive reasoning is a form of reasoning that allows us to make predictions based on what we know.

For example, let's say you've been observing a particular bird species and you've noticed that they always build their nests in trees. Based on this evidence, you can conclude that all birds build their nests in trees. This is an example of inductive reasoning.

##### How do you use deductive reasoning?

Deductive reasoning, or deduction, is the process of reasoning from one or more statements (premises) to reach a logically certain conclusion. Deductive reasoning is often used in mathematical proofs, in which the conclusion must be true if the premises are true.

Deductive reasoning is a form of logical reasoning that applies general rules to specific problems. Deductive reasoning is often used in mathematics, philosophy, and science.

To use deductive reasoning, first identify the premises and the conclusion. The premises are the starting points, and the conclusion is the desired end point. Next, apply general rules to the premises to see if they lead to the conclusion. If they do, then the reasoning is deductive. If they do not, then the reasoning is inductive.