A recent article in this journal describes certain mathematical and philosophical controversies which occurred in Prussia during the middle decades of the 18th century. The article pays particular attention to the position of Christian Wolff and to the views of some of his followers. Both Wolff and the Wolffians are shown to have supported some of Leibniz's doctrines against those of the Newtonian camp. As a result, or perhaps in part as a premise, there is a strong tendency throughout the (...) article to identify Wolff himself with Leibniz. The reader will naturally conclude that Wolff (and, in turn, the Wolffians) must have been a faithful student and expositor of his master, Leibniz. My purpose in the present investigation is to contribute to an examination of the accuracy of this portrayal. (shrink)

Individuals differ in their support for social change. We argue that examinations of inequality and change would benefit from consideration of underlying personality processes. New data suggest that Right-Wing Authoritarianism and Social Dominance Orientation, indicators of support for inequality, may be motivated by biologically driven personality processes, particularly those related to positive-approach motivation.

This mathematics textbook covers the fundamental ideas used in writing proofs. Proof techniques covered include direct proofs, proofs by contrapositive, proofs by contradiction, proofs in set theory, proofs of existentially or universally quantified predicates, proofs by cases, and mathematical induction. Inductive and deductive reasoning are explored. A straightforward approach is taken throughout. Plenty of examples are included and lots of exercises are provided after each brief exposition on the topics at hand. The text begins with a study of symbolic logic, (...) deductive reasoning, and quantifiers. Inductive reasoning and making conjectures are examined next, and once there are some statements to prove, techniques for proving conditional statements, disjunctions, biconditional statements, and quantified predicates are investigated. Terminology and proof techniques in set theory follow with discussions of the pick-a-point method and the algebra of sets. Cartesian products, equivalence relations, orders, and functions are all incorporated. Particular attention is given to injectivity, surjectivity, and cardinality. The text includes an introduction to topology and abstract algebra, with a comparison of topological properties to algebraic properties. This book can be used by itself for an introduction to proofs course or as a supplemental text for students in proof-based mathematics classes. The contents have been rigorously reviewed and tested by instructors and students in classroom settings. (shrink)

The first book to investigate the relevance of Theodor W. Adorno's work for theorizing the age of neoliberal capitalism. Through an engagement with Adorno's critical theory of society, Charles Prusik advances a novel approach to understanding the origins and development of neoliberalism. Offering a corrective to critics who define neoliberalism as an economic or political doctrine, Prusik argues that Adorno's dialectical theory of society can provide the basis for explaining the illusions and forms of domination that structure contemporary life. (...) Prusik explains the importance of Marx's critique of commodity fetishism in shaping Adorno's work and focuses on the related concepts of exchange, ideology, and natural history as powerful tools for grasping the present. Through an engagement with the ideas of neoliberal economic theory, Adorno and Neoliberalism criticizes the naturalization of capitalist institutions, social relations, ideology, and cultural forms. Revealing its origins in the crises of the Fordist period, Prusik develops Adorno's analyses of class, exploitation, monopoly, and reification to situate neoliberal policies as belonging to the fundamental antagonisms of capitalist society. (shrink)

Biological evolution provides a creative fount of complex and subtle adaptations, often surprising the scientists who discover them. However, because evolution is an algorithmic process that transcends the substrate in which it occurs, evolution’s creativity is not limited to nature. Indeed, many researchers in the field of digital evolution have observed their evolving algorithms and organisms subverting their intentions, exposing unrecognized bugs in their code, producing unexpected adaptations, or exhibiting outcomes uncannily convergent with ones in nature. Such stories routinely reveal (...) creativity by evolution in these digital worlds, but they rarely fit into the standard scientific narrative. Instead they are often treated as mere obstacles to be overcome, rather than results that warrant study in their own right. The stories themselves are traded among researchers through oral tradition, but that mode of information transmission is inefficient and prone to error and outright loss. Moreover, the fact that these stories tend to be shared only among practitioners means that many natural scientists do not realize how interesting and lifelike digital organisms are and how natural their evolution can be. To our knowledge, no collection of such anecdotes has been published before. This paper is the crowd-sourced product of researchers in the fields of artificial life and evolutionary computation who have provided first-hand accounts of such cases. It thus serves as a written, fact-checked collection of scientifically important and even entertaining stories. In doing so we also present here substantial evidence that the existence and importance of evolutionary surprises extends beyond the natural world, and may indeed be a universal property of all complex evolving systems. (shrink)

This paper describes one style of functional analysis commonly used in the neurosciences called task-bound functional analysis. The concept of function invoked by this style of analysis is distinctive in virtue of the dependence relations it bears to transient environmental properties. It is argued that task-bound functional analysis cannot explain the presence of structural properties in nervous systems. An alternative concept of neural function is introduced that draws on the theoretical neuroscience literature, and an argument is given to show that (...) this alternative concept of may help to overcome the explanatory limitations of task-bound functional analysis. (shrink)