Critical thinking

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.

The false analogy or the faulty analogy consists of the incorrect use of the analogy argumentative scheme without first meeting the requirements of a correct comparison.

Do your best to present yourself to God as one approved, […] who correctly handles the word of truth. (2 Timothy 2:15)

In an argumentative discussion each party involved must be able to express their point of view without constraints, discrimination or other interferences. This is, in fact, an important prerequisite for the effort to overcome differences of opinion. In practice however, often things are far from this ideal. Not only do interlocutors not respect each other’s right to free speech, but they also resort...

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...

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.

Even the most rigorously researched statistics are not immune from misinterpretation, and they can often be used in a way that obscures the truth.

In scientific research, sampling is the primary method used when research cannot be conducted on a one-to-one scale. The facts discovered at the level of the sample are presumed to apply in general.

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

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.

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.

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.

From an early age I learned, from the advice of adults or from my own experiences—and sometimes the hard way—the relationship between cause and effect. It's simple: if you touch the hot oven door, you’ll get burned! Subsequently, I discovered that there are a multitude of pressing uncertainties all around us in daily life. To figure out what actually causes the things that...

Fundamentalist movements, extremist and sectarian religious beliefs, manipulations of the mass of believers, conspiracy theories within religious sects, and other such threats, emphasise the need for critical thinking.

No one has ever seen a thought, not even a neurosurgeon. However, today we know more about the way we think than what we were able to visualise, yet still less than we would like to know.