Algebraic characteristic classes for idempotent matrices

This paper contains the algebraic analog for idempotent matrices of the Chern-Weil theory of characteristic classes. This is used to show, algebraically, that the canonical line bundle on the complex projective space is not stably trivial. Also a theorem is proved saying that for any smooth manifold there is a canonical epimorphism from the even dimensional algebraic de Rham cohomology of its algebra of smooth functions onto the standard even dimensional de Rham cohomology of the manifold

The ‘Great Decarceration’: Historical Trends and Future Possibilities

During the 19th Century, hundreds of thousands of people were caught up in what Foucault famously referred to as the ‘great confinement’, or ‘great incarceration’, spanning reformatories, prisons, asylums, and more. Levels of institutional incarceration increased dramatically across many parts of Europe and the wider world through the expansion of provision for those defined as socially marginal, deviant, or destitute. While this trend has been the focus of many historical studies, much less attention has been paid to the dynamics of ‘the great decarceration’ that followed for much of the early‐ to mid‐20th Century. This article opens with an overview of these early decarceration trends in the English adult and youth justice systems and suggests why these came to an end from the 1940s onwards. It then explores parallels with marked decarceration trends today, notably in youth justice, and suggests how these might be expedited, extended, and protected

Racism and hate speech – A critique of Scanlon’s Contractual Theory

The First Amendment is an important value in American liberal polity. Under this value, racism, hate speech and offensive speech are protected speech. This article scrutinizes one of the clear representatives of the American liberal polity - Thomas Scanlon. The paper tracks the developments in his theory over the years. It is argued that Scanlon’s arguments downplay tangible harm that speech might inflict on its target victim audience. Scanlon’s distinction between participant interests, audience interests, and the interests of bystanders is put under close scrutiny. The article criticizes viewpoint neutrality and suggests a balancing approach, further arguing that democracy is required to develop protective mechanisms against harm-facilitating speech as well as profound offences. Both should be taken most seriously

Emotion in Action: A Predictive Processing Perspective and Theoretical Synthesis

Starting from a decidedly Frijdian perspective on emotion in action, we adopt neurocognitive theories of action control to analyze the mechanisms through which emotional action arises. Appraisal of events vis-à-vis concerns gives rise to a determinate motive to establish a specific state of the world; the pragmatic idea of the action's effects incurs the valuation of action options and a change in action readiness in the form of incipient ideomotor capture of the selected action. Forward modeling of the sensory consequences of the selected action option allows for the evaluation and fine-tuning of anticipated action effects, which renders the emotional action impulsive yet purposive. This novel theoretical synthesis depicts the cornerstone principles for a mechanistic view on emotion in action