Both Carnap and Quine made significant contributions to the philosophy of mathematics despite their diversedviews. Carnap endorsed the dichotomy between analytic and synthetic knowledge and classified certainmathematical questions as internal questions appealing to logic and convention. On the contrary, Quine wasopposed to the analytic-synthetic distinction and promoted a holistic view of scientific inquiry. The purpose of thispaper is to argue that in light of the recent advancement of experimental mathematics such as Monte Carlosimulations, limiting mathematical inquiry to the domain of (...) logic is unjustified. Robustness studies implemented inMonte Carlo Studies demonstrate that mathematics is on par with other experimental-based sciences. (shrink)

The neural correlates of rapid eye movements (REMs) in sleep are extraordinarily robust; including REM-locked activation in the retrosplenial cortex, the supplementary eye field and areas overlapping cholinergic basal nucleus. The phenomenology of REMs speaks to the notion that perceptual experience in both sleep and wakefulness is a constructive process – in which we generate predictions of sensory inputs and then test those predictions through actively sampling the sensorium with eye movements. On this view, REMs during sleep may index an (...) internalized active sampling or ‘scanning’ of self-generated visual constructs that are not constrained by visual input. If this view is correct, it renders REMs an ideal probe to study consciousness as “an exclusively internal affair” (Metzinger 2009). In other words, REMs offer a probe of active inference – in the sense of predictive coding – when the brain is isolated from the sensorium in virtue of the natural blockade of sensory input during REM sleep. REMs are temporally precise events that enable powerful inferences based on timeseries analyses. As a natural, task-free probe, [REMs] could be used in non-compliant subjects, including infants and animals. In short, REM constitutes a promising probe to study the ontogenetic and phylogenetic development of consciousness and perhaps its abnormal development in schizophrenia and autism, which have been considered in terms of aberrant predictive coding. (shrink)

It is traditionally believed that cerebral activation (the presence of low voltage fast electrical activity in the neocortex and rhythmical slow activity in the hippocampus) is correlated with arousal, while deactivation (the presence of large amplitude irregular slow waves or spindles in both the neocortex and the hippocampus) is correlated with sleep or coma. However, since there are many exceptions, these generalizations have only limited validity. Activated patterns occur in normal sleep (active or paradoxical sleep) and during states of anesthesia (...) and coma. Deactivated patterns occur, at times, during normal waking, or during behavior in awake animals treated with atropinic drugs. Also, the fact that patterns characteristic of sleep, arousal, and waking behavior continue in decorticate animals indicates that reticulo-cortical mechanisms are not essential for these aspects of behavior. (shrink)

In orthodox quantum mechanics, it has virtually become the custom to identify properties of a physical system with operationally testable propositions about the system. The causes and consequences of this practice are explored mathematically in this paper. Among other things, it is found that such an identification imposes severe constraints on the admissible states of the physical system.

The initial impact of John Henry Newman’s 1845 Essay on the Development of Christian Doctrine has previously been downplayed because scholars have neglected Roman sources on the question. These sources show that one of the most influential theologians in Rome at the time, Giovanni Perrone, S.J., learned from Newman’s theory and even advocated it publically in the city. After an 1847 exchange with Newman on the question of doctrinal development, Perrone employed Newman’s theory in publications that contributed to the discussions (...) preceding the decree of the Immaculate Conception in 1854. The article goes on to illustrate how Perrone’s influence upon these discussions helped to shape the Church’s official language regarding doctrinal progression in history. (shrink)

This essay, an analysis of the “Newman-Perrone Paper on Development”, argues that previous studies have inflated the differences between the two thinkers with the result that the significant influence of Newman’s theory of development on Perrone’s theology and, subsequently, on the definition of the Immaculate Conception has been overlooked.

John Henry Newman wrote the “Theses de Fide” in Rome as a seminary student in 1846/1847, and the text represents a key point in the development of his thought. Newman wrote the “Theses” in an attempt to grapple with scholastic categories on faith, a question that had occupied him in the Anglican Church for years. Although the “Theses” were not published in Newman’s life, he returned to these reflections often over the course of his Roman Catholic career. This edition and (...) partial translation of the “Theses de Fide” is to aid general readers in understanding this moment in Newman’s life, and to assist specialists in approaching the manuscript record of the “Theses” themselves. (shrink)

Louis Bautain (1796–1867) has been described as the “French Newman” because of the resemblances between their lives and writings. This essay compares three aspects of the thought of Newman and Bautain: their respective understanding of faith, reason, and development. Both thinkers understood faith and reason in relation to conversion and the realities of life and viewed faith and reason as functioning in tandem with doctrinal development.

In 1839 and 1840, Newman preached four Oxford University Sermons, which critiqued the evidential apologetics advocated by John Locke (1632-1704) and William Paley (1743-1805) and subsequently restated by Richard Whately (1787-1863). In response, Newman drew upon Whately’s earlier works on logic and rhetoric to develop an alternative account of the reasonableness of religious belief that was based on implicit reasoning from antecedent probabilities. Newman’s argument was a creative response to Whately’s contention that evidential reasoning is the only safeguard against superstition (...) and infidelity. (shrink)

This contribution examines the relatively unresearched doctoral thesis of Hans Urs von Balthasar as a Germanist, particularly in relation to the role that the reading of the Russian religious philosopher Nikolai Berdyaev played in the development of Balthasar's earliest theological thought. The authors argue that Berdyaev provided the young Germanist with a markedly eschatological point of departure for his nascent theological reflections. Although Balthasar had to renounce certain aspects of Berdyaev's thought, this eschatological orientation received from Berdyaev nevertheless remained recognizable (...) through Balthasar's mature theological works. This study is dedicated to Fr. James K. Voiss, S.J., teacher, mentor, and friend. (shrink)

The importance of the Low Countries as a centre for the study of foreign languages is well-known. The mutual relationship between the Dutch grammatical tradition and the Western European context has, however, been largely neglected. In this collection of papers on the history of linguistics in the Low Countries the editors have made an effort to present the Dutch tradition in connection with that of the neighbouring countries. Three articles by Claes, Dibbets and Klifman deal with the earliest stages of (...) the development of a grammar for the Dutch vernacular. Several important European figures worked in the Low Countries; their contribution to linguistics is discussed in articles on Vossius (Rademaker), Spinoza (Klijnsmit), and one of the most original phoneticians of European linguistics, Montanus (Hulsker). Vivian Salmon's article is a survey on the relations between English and Dutch linguistics in the field of foreign language teaching. In the 19th century Dutch linguistics had a special relationship with German general and historical linguistics; four articles deal with this period (Jongeneelen, van Driel, le Loux-Schuringa, Noordegraaf). Finally, there are three articles by Kaldewij, Hagen and van Els/Knops on the development of three branches of linguistics in the 20th century: structuralism, dialectology and applied linguistics. This volume should be of interest for all specialists in the history of linguistics in Europe, who are interested in the interdependence of the various traditions. (shrink)