Critical thinking

What we call an “irrelevant conclusion” is an argument that gives the impression of having something to do with an idea it aims to support, but which actually shifts attention to something else.

Arguments must be convincing and, in order to convince, they must be valid—the minimum requirement of persuasion.

A circular argument is an argument forming part of a thesis which has not been established, but still needs to be argued for.

When what someone says can be interpreted in multiple ways, we are in danger of coming to an understanding which is different to their intended message.

The appeal to ignorance (argumentum ad ignorantiam) is an error in thinking which argues that a conclusion is true because there is no evidence against it, or that a conclusion is false because there is no evidence in its favour.

The biased sample is a kind of unrepresentative sample, either for quantitative reasons (as is the case with the too-small sample), or for qualitative ones, when its structure does not represent the structure of the real population that is the object of the research.

"Happiness is not in the mere possession of money; it lies in the joy of achievement, in the thrill of creative effort." (Franklin Delano Roosevelt, US President)

A few years ago, the American Statistical Association carried out research on the history of statistics, tracing their use throughout the course of human society’s development. The results of the study are displayed in the form of a chart called the Timeline of statistics, available on the association's website.

Conspiracy theories and fake news are not the same thing, although the two categories have much in common.

We live surrounded by words—spoken with confidence, written with authority, and shared at astonishing speed. Yet behind many of them lie confusion, prejudice, and unexamined assumptions. From everyday conversations to public decisions, gaps in reasoning and expression reveal something deeper than mere slips of the tongue: they expose deficiencies in education. In such a climate, critical thinking is no luxury; it is a...

"Intelligent, scientifically trained people no longer believe (or can no longer believe) in God."

When we consider that a conclusion is founded only if a lot of people consider it true, we fall into the trap of the argumentum ad populum or the appeal to popularity.

To make an argument by appealing to the novelty of an idea— to the innovation it brings to a certain area—is not necessarily wrong. The visionary thinker Alvin Toffler coined the wonderful phrase nostalgia for the future, referring to his appreciation of the adventure the future promises through the desire many of us have to merge with 'the new' that is still developing...

In everyday life, whether we like it or not, we rely on the information provided by experts or specialists. However, no authority deserves blind trust. When we take someone's word for granted simply because that person is an authority, we make the logical mistake called "appeal to authority."

We use our experience and knowledge to understand what is unknown or inaccessible to us. We are attracted to patterns and judge the world in terms of what is already familiar to us. However, out of a desire to understand some things more quickly, we often draw conclusions without sufficient evidence. Thus we fall into the trap of the sophism called hasty generalization.