We often hear the word “paradox”, but do we really know what it is? Here is a definition: a paradox is a statement that seems absurd, yet it is true. In logic, it is a proposition which contradicts an established way of thinking and which can exist at the same time as the latter. Here are some examples of famous paradoxes: “All men are liars”; “All high school graduates are imbeciles”; “I can only say what I know, and I know nothing”… These sentences, seemingly illogical, nevertheless have a meaning. The paradox is therefore the absence of contradiction in an apparent contradiction.

## The definition of paradox: an apparent contradiction that can be resolved.

Paradox is a concept that can be defined in different ways. Generally, this is considered to be an apparent contradiction that can be resolved. In other words, it is a statement that seems absurd but can be justified by logical reasoning.

There are many examples of paradoxes. The most famous is undoubtedly the liar paradox, first described by the ancient philosopher Epictetus: “I lie: therefore I do not tell the truth”. Other famous examples of paradoxes include Russell's paradox, Cohen's paradox, and Fermi's paradox.

The concept of paradox is often used in philosophy and logic to deconstruct arguments or to highlight logical contradictions. It is also a very useful tool for writers and comedians, who can play with contradictions to create comic or surreal effects.

In short, paradox is a fascinating concept that can be used in many different ways. If you are interested in logical contradictions and philosophical arguments, you should take the time to delve a little deeper into the world of paradoxes!

## The different types of paradoxes: logical, temporal, mathematical, etc.

Paradox is a phenomenon which consists of a contradictory statement or situation. It can exist in different forms, including the logical paradox, the temporal paradox, and the mathematical paradox.

The logical paradox is an apparent contradiction in logical propositions. Example: “All men are mortal, but Socrates is mortal.” Here we affirm and deny the same thing.

The temporal paradox is an apparent contradiction in events that occur over time. Example: “I will never be 30, because I will be dead before then.” Here, we affirm that we will never be able to reach a certain age since we will die before then.

The mathematical paradox is an apparent contradiction in mathematical statements. Example: “1+1=2”. Here, we add two numbers and we get a different number.

## Examples of famous paradoxes: the liar paradox, Zeno's paradox, the hatter's paradox, etc.

There are many famous paradoxes, such as the liar paradox, Zeno's paradox, the hatter's paradox, etc. These paradoxes are often cited as examples of absurd logic. However, they can actually be resolved with careful analysis. Let's discover together some of these paradoxes and try to understand them.

The liar paradox is one of the most famous. It is broken down into three propositions: (1) I am lying, (2) If I am lying, it is because everything I say is false, and (3) Now, I just said that I was going to lie to you. Indeed, if proposition (1) is true, then proposition (2) is also true, which makes proposition (3) false. Conversely, if proposition (1) is false, then proposition (2) is false and proposition (3) is true. In this way, the liar paradox seems to contradict itself.

Zeno's paradox is another famous example of a paradox. This is a series of arguments intended to show that the notion of uniform motion is absurd. Zeno claimed that all movement is impossible because, to reach a certain point, one would first have to travel half the distance, then half that half, and so on, which is impossible. This argument seems absurd at first glance, but it can actually be resolved by taking into account the notion of limit.

The hatter's paradox is another famous paradox. This is a proposition which states that, in a society where everyone wears hats, it is impossible to find a hatter. Indeed, if everyone wears hats, then there is no one buying hats, which makes the profession of hatter impossible. This seems absurd, but it is enough to take into account the notion of market to resolve this paradox.

In summary, paradoxes are not necessarily absurd. They can actually be resolved using in-depth analysis.

Paradox is a concept that can be confusing, but can also be very interesting. There are different types of paradoxes, ranging from logical paradox to mathematical paradox to temporal paradox. Some paradoxes are famous, such as the liar paradox or Zeno's paradox.