When you’re trying to understand a problem, it’s important to start by breaking it down into smaller pieces. In mathematics and logic, one way of doing this is by looking at the statements and assumptions involved. In this article, we will discuss what statements and assumptions are and how they work. We’ll also give some examples to help illustrate these concepts. By understanding how these concepts work, you’ll be able to solve problems more efficiently and effectively!

## What Are the Statements?

We start with the most basic of all concepts: a statement. A statement is just a sentence that is either true or false. There are no in-betweens. Statements can be about anything, but they always have to be either true or false.

For example, the statement “I am writing this article” is true. The statement “the sky is blue” is also true. But the statement “unicorns exist” is false.

## What Are the Assumptions?

An assumption is a statement that is taken to be true for the sake of argument. It’s not necessarily true, but we are going to act as if it is for the sake of this discussion.

For example, the assumption “I am writing this article” is true. We are assuming that for the sake of this discussion. But the assumption “unicorns exist” is false. We are assuming that it’s not true for the sake of this discussion.

## Why Do We Use Statements and Assumptions?

Statements and assumptions are important because they help us to understand how arguments work. When two people disagree about something, it’s often because they are making different statements and assumptions.

For example, imagine that you and your friend are arguing about whether or not unicorns exist. You might make the statement “unicorns don’t exist” and your friend might make the statement “unicorns do exist.” But you are both making different assumptions. You are assuming that there are no unicorns, while your friend is assuming that there are.

This is why statements and assumptions are so important: they help us to understand how people can disagree about the same thing. When we know what someone’s statement and assumption are, we can better understand their argument.

## How Do We Use Statements and Assumptions?

Now that you know what statements and assumptions are, let’s talk about how to use them.

The first thing you need to do is identify the statement and assumption in the argument. This can be tricky, but it’s important to do it correctly.

Once you have identified the statement and assumption, you need to figure out which one is true and which one is false. This can be tricky, but it’s important to do it correctly.

Once you have figured out which statement and assumption are true and which one is false, you can start to evaluate the argument. This can be tricky, but it’s important to do it correctly.

Hopefully, this gives you a basic understanding of how statements and assumptions work.

### Conclusion

Statements and assumptions are important concepts that help us to understand how arguments work. A statement is a declarative sentence that affirms or denies something. It is usually true, and it must be proven in a court of law. An assumption is an unstated belief that someone holds about the world. It does not have to be true, and there is no proof required for it. By understanding these concepts, you can better understand why people disagree about things and how to evaluate arguments. We hope this article was helpful!