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Readability is extremely important for Wikipedia. As a free encyclopedia with the goal of democratizing knowledge, Wikipedia serves an extremely diverse audience with a wide range of backgrounds, preparation, interests, and goals. Even in the most technically demanding subjects, these readers include not only subject experts but also students and curious laypeople. While upholding the goals of accuracy and neutrality, every effort should be made to also render articles accessible and pleasant to read for the broadest audience.
Some editors conflate the encyclopedic style with the spare and technically precise style found in scholarly monographs and peer-reviewed papers aimed at a specialist audience. Encyclopedic style means the text is straight to the point, without needing to twist the truth or tell "lies for the children". However, encyclopedia articles should also be easily understood by as general an audience as practical, avoiding the assumption of prerequisite knowledge and gratuitous use of specialized jargon and advanced technical notation: these shortcuts which save time and effort for experts can easily become barriers for the uninitiated.
It is unreasonable to expect a comprehensive article on a technically demanding subject to be entirely understandable to all readers. Some subjects naturally attract a more limited audience. Nevertheless, many subjects studied at an academically advanced level remain of interest to a wider audience, such as the Sun and Alzheimer's disease.
Making articles readable helps beginners understand the content, while saving the mental load for professionals skimming for key facts and references. Trying to understand string theory is hard enough; why should we throw ourselves more roadblocks with unnecessary jargon?
Making technical content understandable should be considered an improvement to the article, not as dumbing down for the benefit of the less knowledgeable readers. A long-winded proof of Fermat's last theorem is unlikely to be read by either a general reader or an expert. However, a short summary of the proof may give some clarity to a general reader without reducing the article's usefulness to an expert reader.
A lead should not serve to be a perfect definition of the subject of the article; a lead should be an introduction to that subject. A great lead would ignite a reader's curiosity and tempt them to read the body of paragraphs below. Therefore, it is not useful to be pedantic and add minor or overly technical aspects of a definition to the lead. The lead should instead give a good enough definition in the first sentence to be readable by everyone and then try to elaborate on it in the rest of the lead.
It is best to explain the importance of a good lead section with an example. On 5 April 2021, the "Logic" article first two paragraphs looked like this:
Logic (from Greek: λογική, logikḗ, 'possessed of reason, intellectual, dialectical, argumentative') is the systematic study of valid rules of inference, i.e. the relations that lead to the acceptance of one proposition (the conclusion) on the basis of a set of other propositions (premises). More broadly, logic is the analysis and appraisal of arguments. There is no universal agreement as to the exact definition and boundaries of logic (see § Rival conceptions). However, it has traditionally included the classification of arguments; the systematic exposition of the logical forms; the validity and soundness of deductive reasoning; the strength of inductive reasoning; the study of formal proofs and inference (including paradoxes and fallacies); and the study of syntax and semantics.
Feeling confused? You should be. Here's why the old lead sucks:
On 18 October 2023, thankfully, the lead reads:
Logic is the study of correct reasoning. It includes both formal and informal logic. Formal logic is the science of deductively valid inferences or logical truths. It studies how conclusions follow from premises due to the structure of arguments alone, independent of their topic and content. Informal logic is associated with informal fallacies, critical thinking, and argumentation theory. It examines arguments expressed in natural language while formal logic uses formal language. When used as a countable noun, the term "a logic" refers to a logical formal system that articulates a proof system. Logic plays a central role in many fields, such as philosophy, mathematics, computer science, and linguistics.
Let's see how the new lead tackles these problems:
At the very least, the lead should provide an understandable overview of the article. It should not assume that the reader is well acquainted with the subject of the article. The lead of an article titled "Derivative" should tell a general reader:
While the lead is intended to mention all key aspects of the topic in some way, accessibility can be improved by only summarizing the topic in the lead and placing the technical details in the body of the article. Linking should not be a substitute for an explanation of the main topic. However, for highly specialized topics such as string theory, it may be reasonable to cut some slack and link to the prerequisites required to understand it.
When writing the lead, keep asking yourself: "So what? Why should the reader care about this?". When you get to the point where you feel you cannot answer any further, it is likely that you have reached a better way of describing what are you trying to write.
Words should be used frugally.