Contemporary anarchism is a way of thinking about society that believes people should be free to make their own choices and live the way they want to, without any kind of government controlling them. This doesn't mean chaos or lawlessness, however. Instead, anarchists believe that people can work together to create a fair and just society without the need for a ruling authority.
Imagine you are playing with your toys with your friend. You both decide what you want to play and how you want to play it. Nobody is in charge, but you both work together to make sure everyone is having fun and no one is getting left out or hurt.
Contemporary anarchists think that the same idea can be applied to society. Instead of having one person or group in charge, everyone should work together to make decisions and create rules that are fair and just for everyone. This means that people have more freedom to live their lives the way they want to, but they also have more responsibility to take care of each other and make sure everyone is being treated fairly.
It's important to note that not all anarchists believe in the same things, and there are many different schools of thought within the anarchist movement. However, overall, contemporary anarchism is about creating a world where people are free to make their own choices, but still take care of each other and work together for the common good.