The ability to improve in speed and accuracy as a result of repeating some task is an important hallmark of intelligent biological systems. Although gradual behavioral improvements from practice have been modeled in spiking neural networks, few such models have attempted to explain cognitive development of a task as complex as addition. In this work, we model the progression from a counting-based strategy for addition to a recall-based strategy. The model consists of two networks working in parallel: a slower basal (...) ganglia loop and a faster cortical network. The slow network methodically computes the count from one digit given another, corresponding to the addition of two digits, whereas the fast network gradually “memorizes” the output from the slow network. The faster network eventually learns how to add the same digits that initially drove the behavior of the slower network. Performance of this model is demonstrated by simulating a fully spiking neural network that includes basal ganglia, thalamus, and various cortical areas. Consequently, the model incorporates various neuroanatomical data, in terms of brain areas used for calculation and makes psychologically testable predictions related to frequency of rehearsal. Furthermore, the model replicates developmental progression through addition strategies in terms of reaction times and accuracy, and naturally explains observed symptoms of dyscalculia. (shrink)

Reformed Scholastic John Owen's appropriation and adaptation of Thomas Aquinas’ development of the classical ‘disposition’ (Latin: habitus) concept offers practical insight into seventeenth century faculty psychology. This article argues that Owen not only borrows deliberately from Aquinas, he also attempts to simplify and even improve upon Aquinas’ more complicated theological, philosophical, and psychological insights in this important area. While he deals with dispositions of the mind, will, and affections in a way that is broadly similar to Aquinas’ ontological understanding, Owen's (...) most significant contribution to seventeenth century faculty psychology and its theological use is a sustained and consistent emphasis on the necessity of virtuous affections in the pursuit of communion with God. Examining this concept also provides greater context for how the Reformed Scholastics were able to interact with their medieval counterparts. In this we see the Reformed Scholastics’ continuity with the Christian tradition and their depth of understanding regarding human nature. (shrink)

Reformed Scholastic John Owen's appropriation and adaptation of Thomas Aquinas’ development of the classical ‘disposition’ (Latin: habitus) concept offers practical insight into seventeenth century faculty psychology. This article argues that Owen not only borrows deliberately from Aquinas, he also attempts to simplify and even improve upon Aquinas’ more complicated theological, philosophical, and psychological insights in this important area. While he deals with dispositions of the mind, will, and affections in a way that is broadly similar to Aquinas’ ontological understanding, Owen's (...) most significant contribution to seventeenth century faculty psychology and its theological use is a sustained and consistent emphasis on the necessity of virtuous affections in the pursuit of communion with God. Examining this concept also provides greater context for how the Reformed Scholastics were able to interact with their medieval counterparts. In this we see the Reformed Scholastics’ continuity with the Christian tradition and their depth of understanding regarding human nature. (shrink)

Reformed Scholastic John Owen's appropriation and adaptation of Thomas Aquinas’ development of the classical ‘disposition’ (Latin: habitus) concept offers practical insight into seventeenth century faculty psychology. This article argues that Owen not only borrows deliberately from Aquinas, he also attempts to simplify and even improve upon Aquinas’ more complicated theological, philosophical, and psychological insights in this important area. While he deals with dispositions of the mind, will, and affections in a way that is broadly similar to Aquinas’ ontological understanding, Owen's (...) most significant contribution to seventeenth century faculty psychology and its theological use is a sustained and consistent emphasis on the necessity of virtuous affections in the pursuit of communion with God. Examining this concept also provides greater context for how the Reformed Scholastics were able to interact with their medieval counterparts. In this we see the Reformed Scholastics’ continuity with the Christian tradition and their depth of understanding regarding human nature. (shrink)

Locke is the first English philosopher to be considered in this series, and that fact of itself is worthy of attention. Philosophy, of course, like science, knows no frontiers and no national boundaries. Yet it is true to say that Locke’s contribution to philosophy is typically and peculiarly English. His moderation, his emphasis upon experience, his tolerant spirit of compromise, his dislike of mystical extravagance and of metaphysical speculation, even that elusive quality of his which people call his “common sense”, (...) are English traits. His very defects, illogicality leading to inconsistency and an awkward disorderliness of thought so abhorrent to the. (shrink)

Locke is the first English philosopher to be considered in this series, and that fact of itself is worthy of attention. Philosophy, of course, like science, knows no frontiers and no national boundaries. Yet it is true to say that Locke’s contribution to philosophy is typically and peculiarly English. His moderation, his emphasis upon experience, his tolerant spirit of compromise, his dislike of mystical extravagance and of metaphysical speculation, even that elusive quality of his which people call his “common sense”, (...) are English traits. His very defects, illogicality leading to inconsistency and an awkward disorderliness of thought so abhorrent to the. (shrink)

There can be no doubt that we do know one another. We know that others exist and we know a good deal about others. The question is how we know others. To say that others do not exist would be to assert a solipsism—a theory which no serious philosopher has ever maintained. Solipsism is absurd. Not because it is self-contradictory, for there is nothing self-contradictory in the notion that I alone exist having the experiences and thoughts which I do have (...) and that apart from me nothing and no one else exists. It is absurd simply because others do exist and I know this; because, that is to say, it contradicts the known evidence. This is the sole—but the adequate—ground for concluding solipsism to be absurd. Any discussion of this present problem, therefore, must begin with, the recognition of the fact that knowledge of others occurs. (shrink)

Seinfeld (1989–1998) and it’s co-creator’s Curb Your Enthusiasm (2000–present), are each considered groundbreaking television. Critics regard their humor and intellectual comedy as Twain-like and creative. While both shows have been criticized for their character’s indifference and apolitical attitude, the programs resonate with those in society who more subtly consider law and politics. This project argues that Seinfeld and Curb present a unique theory of justice. These two shows constitute a common and current image of what is just in society. While (...) critics have argued that Seinfeld and Curb are not shows about nothing, I argue that these comedians offer us a legal philosophy. For those who view these characters as merely “self-absorbed, superficial, and immature,” I posit that they represent the obscure area between what John Locke termed “the state of nature” and what legal scholars call “legal culture.” I propose that these sitcoms demonstrate a way of speaking about law that provides a constitutive theory of law and justice. (shrink)

The importance of Georg Cantor’s religious convictions is often neglected in discussions of his mathematics and metaphysics. Herein I argue, pace Jan ́e (1995), that due to the importance of Christianity to Cantor, he would have never thought of absolutely infinite collections/inconsistent multiplicities,as being merely potential, or as being purely mathematical entities. I begin by considering and rejecting two arguments due to Ignacio Jan ́e based on letters to Hilbert and the generating principles for ordinals, respectively, showing that my reading (...) of Cantor is consistent with that evidence. I then argue that evidence from Cantor’s later writings shows that he was still very religious later in his career, and thus would not have given up on the reality of the absolute, as that would imply an imperfection on the part of God. (shrink)