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.

Die Frage, wie sich Aussagen uber Fahigkeiten von Personen zu Aussagen uber Moglichkeiten von Zustanden in der Welt verhalten, ist fur unser menschliches Selbstverstandnis zentral. Der vorliegende Band versammelt unter dieser Frage durchweg Originalbeitrage in historisch-systematischer Absicht; sie behandeln die Geschichte der Metaphysik und Ontologie von Parmenides bis Heidegger.INHALT: VORWORT - Klaus Jacobi: Das Konnen und die Moglichkeiten. Potentialitat und Possibilitat - Mischa von Perger: Moglichkeit, Parmenideisch - Ulrich Nortmann: 'Das Saatkorn ist dem Vermogen nach eine Pflanze'. Uber ontologische und (...) logische Aspekte Aristotelischer Moglichkeitssatze - Sang-Jin Kang: Anselm und die modallogische Betrachtung der gottlichen Notwendigkeit - Michael Astroh: Petrus Abaelardus on Modalities de re and de dicto - Christopher Martin: Peter Abaelard on Modality. Some Possibilities and Some Puzzles - Allan Back: Avicenna and Averroes: Modality and Theology - Seung-Chan (Elias) Park: Die Differenz von personlicher und unpersonlicher Moglichkeit bei Thomas von Aquin - Charles Lohr: 'Art' and Possibility: The Rule Concerning Possibility in the Ars lulliana - Peter King: Duns Scotus on Possibilities, Powers, and the Possible - Matthias Kaufmann: Gottes Allmacht und die Wahrheit modaler Satze. Potentialitat und Possibilitat bei Wilhelm von Ockham - Simo Knuuttila: On the History of Theory of Modality as Alternativeness - Stephan Meier-Oeser: Potentia versus Possibilitas? Posse! Zur cusanischen Konzeption der Moglichkeit - Dominik Perler: Cartesische Moglichkeiten - Hans Poser: Leibniz'sche Handlungsmodi zwischen Ontologie und Deontologie - Wilhelm Metz: Der transzendentale Moglichkeitsbegriff bei Kant und Fichte - Rainer Marten: Heidegger: Die eigenste eigentliche Moglichkeit - Tilman Borsche: Moglichkeiten des Seins, Moglichkeiten des Denkens - Thomas Buchheim: Zwischen Antinomie und Kompatibilitat: Versuch uber die naturliche Einbettung unserer Handlungsfreiheit - Kuno Lorenz: Dynamis und Energeia. Zur Aktualitat eines begrifflichen Werkzeugs von Aristoteles. (shrink)

Lives on the Fringes: Interdisciplinary Approaches to Incarceration Editors: Caterina Benelli, Giovanni Cogliandro, Giovanna Costanzo.