An important aim of this paper is to convey some basics of mathematical logic to the legal community working with Artificial Intelligence. After analysing what AI is, we decide to delimit ourselves to rule-based AI leaving Neural Networks and Machine Learning aside. Rule based AI allows for Formal methods which are described in a rudimentary form. We will then see how mathematical logic interacts with legal rule-based AI practice. We shall see how mathematical logic imposes limitations and complications to AI applications. We classify the limitations and interactions between mathematical logic and legal AI in three categories: logical, computational and mathematical. The examples to showcase the interactions will largely come from European traffic regulations. The paper closes off with some reflections on how and where AI could be used and on basic mechanisms that shape society.

Even the most intelligent, complex brains can be taken by a swindler's story, a new study from Case Western Reserve University shows, even stories that prove false upon a second look. Our brains cycle between the social and analytical networks at rest, when presented with a task, however healthy adults engage the appropriate neural pathway. We have built-in neural constraints on our ability to be both empathetic and analytic at the same time, the study shows. The findings of this new study suggest that established theories about two competing networks within the brain need to be revised. It also provides insights into how a healthy mind works versus a mentally ill or developmentally disabled brain.