The phenomenological calculus is a relational paradigm for complex systems, closely related in substance and spirit to Robert Rosen’s own approach. Its mathematical language is multilinear algebra. The epistemological exploration continues in this paper, with the expansion of the phenomenological calculus into the realm of anisotropy.

As interest in working memory is increasing at a rapid pace, an open discussion of the central issues involved is both useful and timely. This new volume compares and contrasts conceptions of working memory, with contributions from proponents of different views.

Individuals make decisions under uncertainty every day. Decisions are based on in- complete information concerning the potential outcome or the predicted likelihood with which events occur. In addition, individuals’ choices often deviate from the rational or mathematically objective solution. Accordingly, the dynamics of human decision making are difficult to capture using conventional, linear mathematical models. Here, we present data from a 2-choice task with variable risk between sure loss and risky loss to illustrate how a simple nonlinear dynamical system can (...) be employed to capture the dynamics of human decision making under uncertainty (i.e., multistability, bifurcations). We test the feasibility of this model quantitatively and demonstrate how the model can account for up to 86% of the observed choice behavior. The implications of using dynamical models for explaining the nonlin- ear complexities of human decision making are discussed as well as the degree to which the theory of nonlinear dynamical systems might offer an alternative framework for understanding human decision making processes. (shrink)

Peter Abelard (1079–1142 ce) was the most wide‐ranging philosopher of the twelfth century. He quickly established himself as a leading teacher of logic in and near Paris shortly after 1100. After his affair with Heloise, and his subsequent castration, Abelard became a monk, but he returned to teaching in the Paris schools until 1140, when his work was condemned by a Church Council at Sens. His logical writings were based around discussion of the “Old Logic”: Porphyry's Isagoge, aristotle'S Categories and (...) On Interpretation and boethius'S textbook on topical inference. They comprise a freestanding Dialectica (“Logic”; probably c.1116), a set of commentaries (known as the Logica [Ingredientibus], c. 1119) and a later (c. 1125) commentary on the Isagoge (Logica Nostrorum Petititoni Sociorum or Glossulae). In a work Abelard called his Theologia, issued in three main versions (between 1120 and c.1134), he attempted a logical analysis of trinitarian relations and explored the philosophical problems surrounding God's claims to omnipotence and omniscience. The Collationes (“Debates,” also known as “Dialogue between a Christian, a Philosopher and a Jew”; probably c.1130) present a rational investigation into the nature of the highest good, in which the Christian and the Philosopher (who seems to be modeled on a philosopher of pagan antiquity) are remarkably in agreement. The unfinished Scito teipsum (“Know thyself,” also known as the “Ethics”; c.1138) analyses moral action. (shrink)

Individuals make decisions under uncertainty every day based on incomplete information concerning the potential outcome of the choice or chance levels. The choices individuals make often deviate from the rational or mathematically objective solution. Accordingly, the dynamics of human decision-making are difficult to capture using conventional, linear mathematical models. Here, we present data from a two-choice task with variable risk between sure loss and risky loss to illustrate how a simple nonlinear dynamical system can be employed to capture the dynamics (...) of human decision-making under uncertainty (i.e., multi-stability, bifurcations). We test the feasibility of this model quantitatively and demonstrate how the model can account for up to 86% of the observed choice behavior. The implications of using dynamical models for explaining the nonlinear complexities of human decision-making are discussed, as well as the degree to which nonlinear dynamical systems theory might offer an alternative framework for understanding human decision-making processes. (shrink)

Mr. Norman H. Baynes thinks that the conclusions which I reached in my essay on the ‘Chronology of the Ninth Book of the Ecclesiastical History of Eusebius’ are ‘difficult to believe.’ That is due, he says, to the fact that I based my reconstruction ‘on one of the most doubtful sections of that book’—that in which Eusebius states that the Emperor Maximin wrote his letter to Sabinus after he received the ‘Edict of Milan.’ From it I inferred that the letter (...) was dispatched early in 313. No doubt Eusebius' assertion raises difficulties. But when a contemporary witness of high authority speaks it may be wise not to reject his evidence before the difficulties which seem to overthrow it are scrutinized. In the present instance the difficulties seem to me to vanish on examination. But Mr. Baynes appears to have overlooked my attempt to deal with them. His own view of the date of the letter is expressed in a single sentence ‘In November of 312 Maximin would receive news of Constantine's victory [at the Milvian Bridge], and as a result he issues the letter to Sabinus permitting Christian worship late in 312.’ But where is his evidence? All I can find is that in his edict of toleration Maximin affirms that ‘last year’ he wrote the letter. ‘This passage proves that that letter dates from the year 312.’ Yes, if Maximin's year began in January. But is that certain? In the East, New Year's Day was not uncommonly in September. (shrink)

An English language translation accompanies the original Greek text of Aristotle's book about the nature of the state, constitutions, revolutions, democracy, and oligarchy.

First published in 1938. The aim of this book is to expound Kant’s _Critique of Judgement _by interpreting all the details in the light of what Kant himself declares to be his fundamental problem. _A Commentary on Kant’s Critique of Judgement _provides an excellent introduction to Kant’s third critique, and will be of interest to students of philosophy.

First published in 2002. Routledge is an imprint of Taylor & Francis, an informa company.

'Uncertainty and chance' is a subject with a broad span, in that there is no academic discipline or walk of life that is not beset by uncertainty and chance. In this book a range of approaches is represented by authors from varied disciplines: natural sciences, mathematics, social sciences and medical sciences. At one extreme, this volume is concerned with the foundations of probability. At the other extreme, we have scholars who acknowledge the concept of chance and uncertainty but do not (...) cope with it by means of systematic measurement or quantative analysis. (shrink)

"First published by Oxford University Press, 1916."--Title page verso.

The significance of the dating of Enmann's Kaisergeschichte in the controversy which has long surrounded the Historia Augusta is common knowledge to all scholars who have more than a nodding acquaintance with the period. Enmann himself concluded that the KG ended with or shortly after Diocletian's accession. This was a necessary hypothesis for Enmann in 1884 because the H.A. had clearly used the KG and the self-proclaimed authorship and dating of the former were generally accepted. None the less in Enmann's (...) opinion the resemblances between Victor and Eutropius continued into the sole reign of Constantius II down to the Battle of Strasbourg in 357 and Enmann was compelled to ascribe this to a ‘continuation’ of the KG. (shrink)