Consistent with numerous electrophysiological studies, we recently reported that conscious perception is associated with a widely distributed modulation of the P3 component . We also showed that correct objective performance in the absence of subjective awareness is associated with a spatially more restricted modulation of the P3. The relatively late occurrence of the P3 along with lack of control for post-perceptual processes suggests that this component might reflect processes related to stimulus evaluation or confidence rather than to visual awareness or (...) objective performance. The main aim of the current study was to test this hypothesis. While EEG was recorded, participants performed a forced-choice localization task and reported their subjective perception of the target on a 3-level scale that also indexed their confidence. The results showed that our previous findings are replicated when confidence is controlled for. (shrink)

P3 is the most prominent of the electrical potentials of the human electroencephalogram that are sensitive to psychological variables. According to the most influential current hypothesis about its psychological significance [E. Donchin's], the “context updating” hypothesis, P3 reflects the updating of working memory. This hypothesis cannot account for relevant portions of the available evidence and it entails some basic contradictions. A more general formulation of this hypothesis is that P3 reflects the updating of expectancies. This version implies that P3-evoking stimuli (...) are initially unexpected but later become expected. This contradiction cannot be resolved within this formulation. The alternative “context closure” hypothesis retains the concept of “strategic information processing” emphasized by the context updating hypothesis. P3s are evoked by events that are awaited when subjects deal with repetitive, highly structured tasks; P3s arise from subjects' combining successive stimuli into larger units. The tasks in which P3s are elicited can accordingly be classified in terms of their respective formal sequences of stimuli. P3 may be a physiological indicator of excess activation being released from perceptual control areas. (shrink)

The present study aimed to investigate the effects of acute aerobic exercise on underlying neuronal activities associated with task-switching processes including both mixing and switch costs. A total of 29 healthy young adults (21.4 ±1.2 years) participated in this study. The experiment consisted of an exercise and a rest condition. In the exercise condition, participants completed 30 minutes of walking and/or jogging on a motor driven treadmill sufficient to achieve an intensity of 70% of maximum heartrate (HRmax). In the rest (...) condition, participants rested quietly for 30 minutes. Both conditions were conducted on different days, and the order was counterbalanced across participants. Participants performed the task-switching paradigm (switching between two different tasks), after both exercise and rest conditions respectively. The P3 amplitude was smaller in the non-switch trial than the single trial only in the rest condition, but not in the exercise condition. In other words, more attentional resources were allocated to the non-switch trial requiring greater amounts of working memory following the exercise condition. Mixing and switch effects on the P3 component were influenced by acute aerobic exercise. This result suggests that acute aerobic exercise may serve to facilitate the flexibility of task-set reconfiguration and maintaining the task set in working memory. Furthermore, during the switch trials, the P3 latency was shorter in the exercise condition than in the rest condition. This result is consistent with the findings of previous studies, indicating that cognitive processing speed is increased only during task conditions requiring greater amounts of executive control. Our study clearly indicates that acute aerobic exercise may facilitate cognitive flexibility as well as other executive functions (i.e., inhibitory control and working memory). (shrink)

In order to improve our understanding of the components that reflect functionally important processes during reward anticipation and consumption, we used principle components analyses (PCA) to separate and quantify averaged ERP data obtained from each stage of a modified monetary incentive delay (MID) task. Although a small number of recent ERP studies have reported that reward and loss cues potentiate ERPs during anticipation, action preparation, and consummatory stages of reward processing, these findings are inconsistent due to temporal and spatial overlap (...) between the relevant electrophysiological components. Our results show three components following cue presentation are sensitive to incentive cues (N1, P3a, P3b). In contrast to previous research, reward‐related enhancement occurred only in the P3b, with earlier components more sensitive to break‐even and loss cues. During feedback anticipation, we observed a lateralized centroparietal negativity that was sensitive to response hand but not cue type. We also show that use of PCA on ERPs reflecting reward consumption successfully separates the reward positivity from the independently modulated feedback‐P3. Last, we observe for the first time a new reward consumption component: a late negativity distributed over the left frontal pole. This component appears to be sensitive to response hand, especially in the context of monetary gain. These results illustrate that the time course and sensitivities of electrophysiological activity that follows incentive cues do not follow a simple heuristic in which reward incentive cues produce enhanced activity at all stages and substages. (shrink)

Individuals with major depressive disorder (MDD) often ruminate about past experiences, especially those with negative content. These repetitive thoughts may interfere with cognitive processes related to attention and conflict monitoring. However, the temporal nature of these processes as reflected in event-related potentials (ERPs) has not been well-described. We examined behavioral and ERP indices of conflict monitoring during a modified flanker task and the allocation of attention during an attentional blink (AB) task in 33 individuals with MDD and 36 healthy controls, (...) and whether their behavioral performance and ERPs varied with level of rumination. N2 amplitude elicited by the flanker task was significantly reduced in participants with MDD compared to healthy controls. Level of self-reported rumination was also correlated with N2 amplitude. In contrast, P3 amplitude during the AB task was not significantly different between groups, nor was it correlated with rumination. No significant differences were found in behavioral task performance measures between groups or by rumination levels. These findings suggest that rumination in MDD is associated with select deficits in cognitive control, particularly related to conflict monitoring. (shrink)

In the cocktail party situation, people with normal hearing usually follow a single speaker among multiple concurrent ones. However, there is no agreement in the literature as to whether the background is segregated into multiple streams/speakers. The current study varied the number of concurrent speech streams and investigated target detection and memory for the contents of a target stream as well as the processing of distractors. A male-voiced target stream was either presented alone (single-speech), together with one male-voiced distractor (one-distractor), (...) or a male- and a female-voiced distractor (two-distractor). Behavioral measures of target detection and content tracking performance as well as target- and distractor detection related event-related brain potentials (ERPs) were assessed. We found that the N2 amplitude decreased whereas the P3 amplitude increased from the single-speech to the concurrent speech streams conditions. Importantly, the behavioral effect of distractors differed between the conditions with one vs. two distractor speech streams and the non-zero voltages in the N2 time window for distractor numerals and in the P3 time window for syntactic violations appearing in the non-target speech stream significantly differed between the one- and two-distractor conditions for the same (male) speaker. These results support the notion that the two background speech streams are segregated, as they show that distractors and syntactic violations appearing in the non-target streams are processed even when two speech non-target speech streams are delivered together with the target stream. (shrink)

With the help of event-related potentials (ERPs), the present study used an oddball paradigm to investigate how both individual and target power modulate neural responses to angry expressions. Specifically, participants were assigned into a high-power or low-power condition. Then, they were asked to detect a deviant angry expression from a high-power or low-power target among a series of neutral expressions, while behavioral responses and electroencephalogram (EEG) were recorded. The behavioral results showed that high-power individuals responded faster to detect angry expressions (...) than low-power individuals. The ERP analysis showed that high-power individuals showed larger P3 amplitudes in response to angry expressions than low-power individuals did. Target power increased the amplitudes of the P1, VPP, N3, and P3 in response to angry expressions did, but decreased the amplitudes of the N1 and N170 in response to angry expressions. The present study extended previous studies by showing that having more power could enhance individuals’ neural responses to angry expressions in the late-stage processes, and individuals could show stronger neural responses to angry expressions from high-power persons in both the early‐ and late-stage processes. (shrink)

The standard view is that the Lagrangian and Hamiltonian formulations of classical mechanics are theoretically equivalent. Jill North, however, argues that they are not. In particular, she argues that the state-space of Hamiltonian mechanics has less structure than the state-space of Lagrangian mechanics. I will isolate two arguments that North puts forward for this conclusion and argue that neither yet succeeds. 1 Introduction2 Hamiltonian State-space Has less Structure than Lagrangian State-space2.1 Lagrangian state-space is metrical2.2 Hamiltonian state-space is symplectic2.3 Metric > (...) symplectic3 Hamiltonian State-space Does Not Have Less Structure than Lagrangian State-space3.1 Lagrangian state-space has less than metric structure3.1.1 A potential worry3.1.2 General Lagrangians3.2 Hamiltonian state-space has more than symplectic structure3.2.1 A dual structure on the Hamiltonian state-space3.2.2 Simple Hamiltonians3.3 Comparing Lagrangian and Hamiltonian structures3.3.1 Counting mathematical structure3.3.2 Symplectic and metric structure are incomparable4 An Alternative Argument for LS4.1 The argument for P3*4.2 Symplectic manifold vs. tangent bundle structure4.3 Trying to patch up the argument for P3*5 Interpreting Mathematical Structure5.1 State-space realism5.2 Model isomorphism and theoretical equivalence6 Conclusion. (shrink)

The Sure-Thing Principle famously appears in Savage’s axiomatization of Subjective Expected Utility. Yet Savage introduces it only as an informal, overarching dominance condition motivating his separability postulate P2 and his state-independence postulate P3. Once these axioms are introduced, by and large, he does not discuss the principle any more. In this note, we pick up the analysis of the Sure-Thing Principle where Savage left it. In particular, we show that each of P2 and P3 is equivalent to a dominance condition; (...) that they strengthen in different directions a common, basic dominance axiom; and that they can be explicitly combined in a unified dominance condition that is a candidate formal statement for the Sure-Thing Principle. Based on elementary proofs, our results shed light on some of the most fundamental properties of rational choice under uncertainty. In particular they imply, as corollaries, potential simplifications for Savage’s and the Anscombe- Aumann axiomatizations of Subjective Expected Utility. Most surprisingly perhaps, they reveal that in Savage’s axiomatization, P3 can be weakened to a natural strengthening of so-called Obvious Dominance. (shrink)

Our aim in this article is to bring some clarity to the clinical ethics expertise debate by critiquing and replacing the taxonomy offered by the Core Competencies report. The orienting question for our taxonomy is: Can clinical ethicists offer justified, normative recommendations for active patient cases? Views that answer “no” are characterized as a “negative” view of clinical ethics expertise and are further differentiated based on (a) why they think ethicists cannot give justified normative recommendations and (b) what they think (...) ethicists can offer, if they cannot offer recommendations. Views that answer “yes” to the orienting question are characterized as a “positive” view of clinical ethics expertise. Positive views are distinguished according to four additional questions. First (P1), how are those recommendations generated? Second (P2), what is the nature of the recommendations? Third (P3), we ask, how are the recommendations justified? And finally (P4), how are the recommendations communicated? (shrink)

I present a novel position vis-à-vis the views in the Latin American philosophy literature regarding whether subjects more aptly use "Hispanic" or "Latinx" to refer to Hispanic- or-Latinx people. To this end, I will argue (C) the term "Afro-Latinx" is more apt than "Hispanic" or "Latinx" in a significant number of cases. This conclusion is based on three premises. The first premise (P1) is that use of "Afro-Latinx" provides subjects with understanding of how certain events depend on anti-Black racism, US (...) society's racially unjust structure and US colonial policy. The second premise (P2) is that that neither the term "Hispanic" nor the term "Latinx" provide subjects with this understanding of how certain events depend on anti-Black racism, US society's racially unjust structure and US colonial policy. The third premise (P3) is that the term "Afro-Latinx" provides subjects with more understanding of these events than the terms, "Hispanic" and "Latinx.” I present three cases which feature the experiences of Afro-Dominican people. The 1992 murder of Dominican man Kiko García by New York Police officer O’Keefe is first case. The second case is the Washington Heights Uprising that ensued Kiko García’ murder. An instance where a nightclub bouncer in the Dominican Republic denies a Dominican women entry because of her hair texture composes the third case. (shrink)

The first decade of event-related potential (ERP) research had established that the most consistent correlates of the onset of visual consciousness are the early visual awareness negativity (VAN), a posterior negative component in the N2 time range, and the late positivity (LP), an anterior positive component in the P3 time range. Two earlier extensive reviews ten years ago had concluded that VAN is the earliest and most reliable correlate of visual phenomenal consciousness, whereas LP probably reflects later processes associated with (...) reflective/access consciousness. This article provides an update to those earlier reviews. ERP and MEG studies that have appeared since 2010 and directly compared ERPs between aware and unaware conditions are reviewed, and important new developments in the field are discussed. The result corroborates VAN as the earliest and most consistent signature of visual phenomenal consciousness, and casts further doubt on LP as an ERP correlate of phenomenal consciousness. (shrink)

Distribution of responsibility is one of the main focus areas in discussions about climate change ethics. Most of these discussions deal with the distribution of responsibility for climate change mitigation at the international level. The aim of this paper is to investigate if and how these principles can be used to inform the search for a fair distribution of responsibility for climate change adaptation on the local level. We found that the most influential distribution principles on the international level were (...) in turn built on one or more of seven basic principles: (P1) equal shares, (P2) desert, (P3) beneficiary pays, (P4) ability, (P5) self-help, (P6) limited responsibility for the worst off, and (P7) status quo preservation. It was found that all the basic principles, but P1, P3, and P7, are to some extent translatable to local climate adaptation. Two major problems hamper their usefulness on the local level: (1) several categories of agents need to take on responsibility; and (2) emissions do not work as a base for all principles. P4, P5, and P6 are applicable to local adaptation without changes. P4 is of particular importance as it seems to solve the first problem. P2 is applicable only if the second problem is solved, which can be achieved by using risk of harm instead of emissions as the basis for desert. (shrink)

Using William Shakespeare’s Hamlet and the play-within-the play, The Murder of Gonzago, as a case study, this essay argues that theatrical utterances constitute a special case of language usage not previously elucidated: the utterance of a statement with propositional content in theatre functions as an event. In short, the propositional content of a particular p (e.g. p1, p2, p3 …), whether or not it is true, is only understood—and understood to be true—if p1 is uttered in a particular time, place, (...) and situation (i.e. during a theatrical event); otherwise, the propositional content in those theatrical utterances can either be false or contingently true. (shrink)

This paper investigated how implicit and explicit knowledge is reflected in event-related potentials in sequence learning. ERPs were recorded during a serial reaction time task. The results showed that there were greater RT benefits for standard compared with deviant stimuli later than early on, indicating sequence learning. After training, more standard triplets were generated under inclusion than exclusion tests and more standard triplets under exclusion than chance level, indicating that participants acquired both explicit and implicit knowledge. However, deviant targets elicited (...) enhanced N2 and P3 components for targets with explicit knowledge but a larger N2 effect for targets with implicit knowledge, revealing that implicit knowledge expresses itself in relatively early components and explicit knowledge in additional P3 components. The results help resolve current debate about the neural substrates supporting implicit and explicit learning. (shrink)

The neuromodulatory effects of brain stimulation therapies notably involving repetitive transcranial magnetic stimulation on nocturnal sleep, which is critically disturbed in major depression and other neuropsychiatric disorders, remain largely undetermined. We have previously reported in major depression patients that prefrontal rTMS sessions enhanced their slow wave activity power, but not their sigma power which is related to sleep spindle activity, for electrodes located nearby the stimulation site. In the present study, we focused on measuring the spindle density to investigate cumulative (...) effects of prefrontal rTMS sessions on the sleep spindle activity. Fourteen male inpatients diagnosed with medication-resistant unipolar or bipolar depression were recruited and subjected to 10 daily rTMS sessions targeting the left dorsolateral prefrontal cortex. All-night polysomnography data was acquired at four time points: Adaptation, Baseline, Post-1, and Post-2. Clinical and cognitive evaluations were longitudinally performed at Baseline, Post-1, and Post-2 time points to explore associations with the spindle density changes. The PSG data from 12 of 14 patients was analyzed to identify sleep spindles across the sleep stages II–IV at four electrode sites: F3, F4, P3, and P4. Statistical analysis by two-way ANOVA revealed that spindle density at F3 increased at Post-1 but decreased at Post-2 time points. Moreover, the local and transient increase of spindle density at F3 was associated with the previously reported SWA power increase at F3, possibly reflecting a shared mechanism of thalamocortical synchronization locally enhanced by diurnal prefrontal rTMS sessions. Clinical and cognitive correlations were not observed in this dataset. These findings suggest that diurnal rTMS sessions transiently modulate nocturnal sleep spindle activity at the stimulation site, although clinical and cognitive effects of the local changes warrant further investigation. (shrink)

Cognitive control processes, such as updating task-relevant information while switching between multiple tasks, are substantially impaired in older adults. However, it has also been shown that these cognitive control processes can be improved by training interventions, e.g., by training in task switching. Here, we applied an event-related potential approach to identify whether a cognitive training improves task-preparatory processes such as updating of relevant task goals. To do so, we applied a pretest-training-posttest design with eight training sessions. Two groups of older (...) adults were either trained in task switching or in performing single tasks and we compared their performance to a group of untrained younger adults. To foster cue updating in the treatment group, we applied a cue-based switching task in which the two task cues were randomly selected prior to target presentation so that participants had time to prepare for the upcoming task. In contrast, the control group also received task cues but those were redundant as only one task had to be performed. We also examined whether training in cue updating during task switching can be transferred to a similar cognitive control task measuring updating of context information, namely a modified version of the AX-Continuous Performance Task. The results revealed training-specific improvements in task switching, that is, a larger improvement in blocks requiring switching in comparison to single tasks at the behavioral level. In addition, training specific-effects were also found at the neuronal level. Older adults trained in cue updating while switching showed a reduction in mixing costs in the cue-related P3, indicating an improvement in preparatory updating processes. Additionally, P3 topography changed with training from a very broad to a parietally focused scalp distribution similar to the one found in younger adults. However, we did not obtain training-specific improvements in context updating in the AX-CPT neither at the behavioral level nor at the neuronal level. Results are discussed in the context of the ongoing debate on whether transfer of cognitive training improvements is possible. (shrink)

I develop advice to the reductionist about consciousness in the form of a transcendental argument that depends crucially on the sorts of knowledge claims concerning consciousness that, as crucial elements in the anti-reductionists’ epistemicgap arguments, the anti-reductionist will readily concede. The argument that I develop goes as follows. P1. If I know that I am not a zombie, then phenomenal character is (a certain kind of) conceptualized egocentric content. P2. I know that I am not a zombie. P3. Phenomenal character (...) is (a certain kind of) conceptualized egocentric content. P4. Fixing my physical properties fixes my conceptualized egocentric contents. C. Fixing my physical properties fixes my phenomenal properties. (shrink)

Machamer, Darden and Craver: ‘Mechanisms are entities and activities organized such that they are productive of regular changes from start or set-up to finish or termination conditions.’ (Machamer, Darden and Craver 2000 p3.) Glennan: ‘A mechanism for a behavior is a complex system that produces that behavior by the interaction of a number of parts, where the interactions between parts can be characterized by direct, invariant, change-relating generalizations.’ (Glennan 2002b pS344.) Bechtel and Abrahamsen: ‘A mechanism is a structure performing a (...) function in virtue of its component parts, component operations, and their organization. The orchestrated functioning of the mechanism is responsible for one or more phenomena.’ (Bechtel and Abrahamsen 2005 p423.). (shrink)

The standard axiomatization of quantum mechanics (QM) is not fully explicit about the role of the time-parameter. Especially, the time reference within the probability algorithm (the Born Rule, BR) is unclear. From a probability principle P1 and a second principle P2 affording a most natural way to make BR precise, a logical conflict with the standard expression for the completeness of QM can be derived. Rejecting P1 is implausible. Rejecting P2 leads to unphysical results and to a conflict with a (...) generalization of P2, a principle P3. All three principles are shown to be without alternative. It is thus shown that the standard expression of QM completeness must be revised. An absolutely explicit form of the axioms is provided, including a precise form of the projection postulate. An appropriate expression for QM completeness, reflecting the restrictions of the Gleason and Kochen-Specker theorems is proposed. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:125, HUME'S PROBABILITY ARGUMENT OF?,??,? In the Treatise,?,??,?, Hume presents an follows:' argument which, in the barest of outlines, goes as 1 (Pl) Every proposition has a probability less than one. (P2) If reason were the basis of our beliefs, then we would have no beliefs. (follows from (Pl)) (P3) We in fact do have beliefs. Hence, (P4) Reason is not the basis of our beliefs. The argument has (...) not been particularly well received. D. C. Stove, for example, refers to it as being "not merely defective, but one of the worst 2 arguments ever to impose itself on a man of genius." While not everyone is as unsympathetic as Stove, it nonetheless is difficult to find commentators favorably disposed toward the argument. Various sections of the Treatise are notoriously unclear.?,??,? is such a section; as such, it is difficult to say just what Hume intended his argument to be. My contention in the present paper is that there are two reasonable ways of reconstructing Hume's argument, both consistent with what Hume writes in?,??,?. The first reconstruction is clearly unsound; the second reconstruction fares somewhat better. In particular, my contention will be that this second reconstruction, if not sound, is at least valid 4 and contains no obviously false premises. Allow me to make some preliminary comments before presenting these reconstructions. The reconstructions to follow will primarily be concerned with premise (P2) above; in particular, the 126. reconstructions will focus on how Hume can claim that (P2) follows from (Pl). Premise (Pl) is a common 5 sceptical claim, not obviously false, and certainly not unique to Hume. As such, it strikes me that the more interesting part of the argument is Hume's claim that (P2) follows from (Pl), and such will be the focus of the reconstructions (although (Pl) will be discussed toward the end of this paper). Concerning (P2), why does Hume think this follows from (Pl)? His reasoning is contained in the following passage; Having thus found in every probability, beside the original uncertainty inherent in the subject, a new uncertainty deriv'd from the weakness of that faculty, which judges, and having adjusted these two together, we are oblig'd by our reason to add a new doubt deriv'd from the possibility of error in the estimation we make of the truth and fidelity of our faculties. This is a doubt, which immediately occurs to us, and of which, if we wou'd closely pursue our reason, we cannot avoid giving a decision. But this decision, tho' it shou'd be favourable to our preceeding judgment, being founded only on probability, must weaken still further our first evidence, and must itself be weaken'd by a fourth doubt of the same kind, and so on in infinitum; till at last there remain nothing of the original probability, however great we may suppose it to have been, and however small the diminution by every new uncertainty. No finite object can subsist under a decrease repeated in infinitum; and even the vastest quantity, which can enter into human imagination, must in this manner be reduc'd to nothing. (T182) Not for nothing did I claim that this section of the Treatise is unclear. At best, I can discern only the outline of Hume's reasoning, which seems to go as follows: first, when we assign a probability to some 127, proposition, reason dictates that we re-evaluate this probability. In particular, reason dictates that we "add a new doubt deriv'd from the possibility of error in the estimation we make of the truth and fidelity of our faculties." Note that Hume never specifies the object of this 'new doubt.' He might mean a) that our doubt concerns whether the probability we assigned the proposition is correct, or b) that our doubt concerns the evidence on which we based the assignment of that probability. Whatever the case, this 'new doubt' must "weaken still further our first evidence," presumably resulting in a lowering of the probability we originally assigned to the proposition. We then repeat this doubting process, adding new doubts of the same kind in infinitum, "till at last there remain nothing of the original... (shrink)

Davidson poses the problem via three propositions p1-P3, Each persuasive but apparently inconsistent. His solution, That the three are consistent, Merely re-Phrases the problem. We should rather reject p2; if an agent judges that it would be better to do "x" than to do "y", Then he wants to do "x" more than he wants to do "y". Plato accepts p2 because he thinks all agents predominantly self-Interested, And hare because he thinks that evaluative judgments imply desires; both are criticized. (...) An alternative to p2, Consistent with p1 and p3, Makes a subtler connection between judgment, Desire and behaviour. (shrink)

Several decades of behavioral research have established that variations in socioeconomic status are related to differences in cognitive performance. Neuroimaging and psychophysiological techniques have recently emerged as a method of choice to better understand the neurobiological processes underlying this phenomenon. Here we present a systematic review of a particular sub-domain of this field. Specifically, we used the PICOS approach to review studies investigating potential relationships between SES and scalp event-related brain potentials. This review found evidence that SES is related to (...) amplitude variations in a diverse range of ERPs: P1, N1, N2, Error-Related Negativities, N400, auditory evoked potentials, negative difference waves, P3 and slow waves. These ERPs include early, mid-latency and late potentials that reflect a broad range of cognitive processes. In this review, all SES effects on ERPs appeared to reflect an impairment or a less efficient form of task-related neural activity for low-SES compared to high-SES individuals. Overall, these results confirm that a wide variety of distinct neural processes with different functional meanings are sensitive to SES differences. The findings of this review also suggest that the relationship between SES and some ERP components may depend on the developmental stage of study participants. Results are further discussed in terms of the current limitations of this field and future avenues of research. (shrink)

Neuroscience has studied deductive reasoning over the last 20 years under the assumption that deductive inferences are not only de jure but also de facto distinct from other forms of inference. The objective of this research is to verify if logically valid deductions leave any cerebral electrical trait that is distinct from the trait left by non-valid deductions. 23 subjects with an average age of 20.35 years were registered with MEG and placed into a two conditions paradigm (100 trials for (...) each condition) which each presented the exact same relational complexity (same variables and content) but had distinct logical complexity. Both conditions show the same electromagnetic components (P3, N4) in the early temporal window (250–525 ms) and P6 in the late temporal window (500–775 ms). The significant activity in both valid and invalid conditions is found in sensors from medial prefrontal regions, probably corresponding to the ACC or to the medial prefrontal cortex. The amplitude and intensity of valid deductions is significantly lower in both temporal windows (p = 0.0003). The reaction time was 54.37% slower in the valid condition. Validity leaves a minimal but measurable hypoactive electrical trait in brain processing. The minor electrical demand is attributable to the recursive and automatable character of valid deductions, suggesting a physical indicator of computational deductive properties. It is hypothesized that all valid deductions are recursive and hypoactive. (shrink)

In the recent literature on confirmation there are two leading approaches to the provision of a probabilistic measure of the degree to which a hypothesis is confirmed by evidence. The first is to construe the degree to which evidence E confirms hypothesis H as a function that is directly proportional to p and inversely proportional to p . I shall refer to this as the probability approach. The second approach construes the notion as a function that is directly proportional to (...) the true-positive rate – the probability of the evidence if the hypothesis is true, p – and inversely proportional to the false-positive rate – the probability of the evidence if the hypothesis is false, p . These reverse conditional probabilities – of the evidence on the truth or falsehood of the hypothesis – are sometimes known as likelihoods. I shall refer to the approach to confirmation that uses them as the likelihood approach.For each of these approaches, there are two obvious options as to how to define the confirmation function. The first is to define it as the difference between the magnitude that is treated as increasing confirmation or p ) and the magnitude that is treated as decreasing confirmation or p ). The second is to define confirmation as the quotient of these two magnitudes.This yields four different measures of confirmation, represented in the following table: Differences RatiosProbabilities PD = p – p1 PR = Graphic2Likelihoods LD = p – p3 LR = Graphic4All these measures agree on whether or not E provides some support for H. Intuitively, we want to say that E provides some support for H just in case learning that E is true would make us assign a higher probability to H, i.e. when p(H …. (shrink)

In the First Section of the Groundwork of the Metaphysics of Morals, Kant argues that a good-willed person “under subjective limitations and hindrances” (G 397) is required “never to act except in such a way that [she] could also will that [her] maxim should become a universal law” (G 402).2 This requirement has come to be known as the Formula of Universal Law (FUL) version of the Categorical Imperative, an “ought” statement expressing a command of reason that “represent[s] an action (...) as objectively necessary of itself, without reference to another end” (G 414). The question of how to understand and apply the FUL has received a great deal of attention in recent years. But Kant’s reasoning for the claim that a good-willed person (of a certain kind) acts in accordance with the FUL has not been investigated with the same degree of thoroughness. My purpose in this paper is to render the structure of Kant’s argument perspicuous, and thereby contribute to its proper evaluation by identifying its true strengths and weaknesses.3 Let us call Kant’s argument “K” and its conclusion “C”. The task at hand requires identification of K’s premises and of the reasoning by means of which C is derived. One of the advantages of clarifying K’s structure in this way is that doing so permits us to answer questions that continue to puzzle even the most sympathetic readers of the First Section. Some of these questions concern three “Propositions” to which Kant 1 draws our attention in the course of his presentation. The First Proposition (call it “P1”) is left unstated, but most commentators agree that it (or at least part of it) should be rendered as follows: (P1) A human action has moral worth only if it is done from duty.4 Kant states the other two propositions (call the Second “P2” and Third “P3”) explicitly: (P2) An action from duty has its moral worth not in the purpose to be attained by it but in the maxim in accordance with which it is decided upon. (G 399). (shrink)

Two kinds of probability expressions, verbal and numerical, have been used to characterize the uncertainty that people face. However, the question of whether verbal and numerical probabilities are cognitively processed in a similar manner remains unresolved. From a levels-of-processing perspective, verbal and numerical probabilities may be processed differently during early sensory processing but similarly in later semantic-associated operations. This event-related potential (ERP) study investigated the neural processing of verbal and numerical probabilities in risky choices. The results showed that verbal probability (...) and numerical probability elicited different N1 amplitudes but that verbal and numerical probabilities elicited similar N2 and P3 waveforms in response to different levels of probability (high to low). These results were consistent with a level-of-processing framework and suggest some internal consistency between the cognitive processing of verbal and numerical probabilities in risky choices. Our findings shed light on possible mechanism underlying probability expression and may provide the neural evidence to support the translation of verbal to numerical probabilities (or vice versa). (shrink)

Error related potentials, which are elicited in the EEG in response to a perceived error, have been used for error correction and adaption in the event related potential -based brain computer interfaces designed for typing. In these typing interfaces, ERP evidence is collected in response to a sequence of stimuli presented usually in the visual form and the intended user stimulus is probabilistically inferred and presented to the user as the decision. If the inferred stimulus is incorrect, ErrP is expected (...) to be elicited in the EEG. Early approaches to use ErrP in the design of typing interfaces attempt to make hard decisions on the perceived error such that the perceived error is corrected and either the sequence of stimuli are repeated to obtain further ERP evidence, or without further repetition the stimulus with the second highest probability is presented to the user as the decision of the system. Moreover, none of the existing approaches use a language model to increase the performance of typing. In this work, unlike the existing approaches, we study the potential benefits of fusing feedback related potentials, a form of ErrP, with ERP and context information in a Bayesian fashion to detect the user intent. We present experimental results based on data from 12 healthy participants using RSVP Keyboard™ to complete a copy-phrase-task. Three paradigms are compared: [P1] uses only ERP/LM Bayesian fusion; [P2] each RSVP sequence is appended with the top candidate in the alphabet according to posterior after ERP evidence fusion; corresponding FRP is then incorporated; and [P3] the top candidate is shown as a prospect to generate FRP evidence only if its posterior exceeds a threshold. Analyses indicate that ERP/LM/FRP evidence fusion during decision making yields significant speed-accuracy benefits for the user. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Notes and Discussions THE UNITY OF WISDOM AND TEMPERANCE The attempt of Socrates to establish the unity of the virtues has long been an object of philosophic suspicion. Particular attention has been directed to the argument at Protagoras 332a-333b, in which Socrates seeks to demonstrate the unity of wisdom and temperance, by showing that they must be identified as the contrary of folly. The argument proceeds on the assumption (...) that wisdom and temperance are distinct, and so terminates in a contradiction between 'Whatever admits of a contrary admits of one only' and 'Folly, which is one thing, has two contraries, wisdom and temperance.' Scholars have generally rejected Socrates' proof of the second of the contradictory propositions. However, in a recent paper, Professor David Savan has claimed that the contradiction is derived in a formally valid way from premisses which either need no argument or are accepted by Protagoras} My intent in this paper is to cast doubt on this claim, and so to restore the status quo. According to the critics, the weak point in the argument is Socrates' defence of the statement 'Foolish acts and temperate acts are contraries.' But Saran holds that this statement follows from three conditionals, all stated by Socrates and accepted by Protagoras. These conditionals, referred to by Savan as F G and H, will here be termed P1-3. P1 If an act is right and advantageous, then it is temperate. Symbolically: (r.a) D t P2 If an act is wrong, then it is foolish. w~f P3 If an act is foolish, then it is not temperate. fD -t From these, Saran argues, "it follows that 'An act is right' and 'An act is temperate ' are truth functionallyequivalent, as are 'An act is wrong' and 'An act is foolish'.... Since right and wrong are either contraries or contradictories, temperate and foolish acts must also be either contraries or contradictories" (p. 24). Savan then argues that Protagoras, on the basis of his remarks earlier in the dialogue, must take right and wrong to be contradictories, so that temperate and foolish actions are also contradictories, rather than contraries. I want first to consider whether the material equivalences alleged to follow from P1-3 do in fact follow. They may be symbolized: Clr~t C2w =f It is immediately clear that neither C1 nor C2 follows from P1-3. But this is not surprising, because some expression of the relation between 'right' and 'wrong' 1D. Saran, "Socrates'Logic and the Unity of Wisdom and Temperance," in R. J. Butler (ed.), AnalyticalPhilosophy,2nd series(Oxford: BasilBlackwell,1965),pp. 20-26. [157] 158 HISTORY OF PHILOSOPHY must appear among the premises. Since Savan raises the question whether 'right' and 'wrong' are contraries or contradictories only after he claims to establish C1 and C2, we may suppose that the argument should hold whichever relation we assume. If 'right' and 'wrong' are contraries we add the premise: P4A r D --w And ifthey are contradictorieswe add the stronger premise: P4B r -- --w But neither C1 nor C2 follows from PI-3 together with either P4A or P4B. However, it may be urged, the argument fails only because 'advantageous' has been treated as an independent term. P1 should be replaced by: PI* r ~ t We now find that PI*-3 and P4B are sufficientto derive C1 and C2. But PI*-3 and P4A do not suffice.The most we can establish, using only P4A, is the disjunction : C1 vC2r -- t-v-w -- f And this is useless for the purposes of Socrates' argument. One further way of strengthening the premises might be suggested. Instead of dropping 'advantageous' from the argument, one might take it as related both to 'right' and to 'foolish.' That is, one might introduce additional premises from the pairs: P5A r ~ a P5B r - a and: P6A a D -f P6B a ---- -f P5A, added to P1-3 and P4B, will suffice for the derivation of C1 and C2. But no combination of premises not including P4B will do; from P1-3, P4A, P5B and P6B, one can derive C1 but not C2. It is, therefore, necessary to modify Savan's claim in two fairly important... (shrink)

The paper presents an argument for the incompleteness in principle of quantum mechanics. I introduce four principles (P0–P3) concerning the interpretation of probability, in general and in quantum mechanics, and argue that the defender of completeness must reject either P0 or all of P1–P3, which options both seem unacceptable. The problem is shown to be more fundamental than the measurement problem and to have implications for our understanding of quantum-mechanical contextuality.

Dans la série de principes auxquels un Mémoire pour Gabriel Cramer rédigé par Condillac début 1747 ramène le système monadologique de Leibniz, le principe de l’ingrédience de la matière par les êtres simples ou monades échappe à la critique. Condillac accorde le principe [P1] les monades sont les premiers éléments de la matière. Il rejette seulement les deux principes subalternes [P2] les monades ont un principe interne de tous leurs changements et [P3] chaque état passager d’une monade représente sous un (...) certain point de vue l’univers, qui sous-tendent la notion de perceptions inconscientes. Composée dans la même période, la dissertation anonyme Les Monades est tout entière organisée en vue de la démonstration par Condillac en personne de la vérité de la thèse monadologique il y a des composés, donc il y a des êtres simples et de son corrélat, le principe la matière a pour éléments des êtres simples. Une analyse minutieuse des procédés argumentatifs déployés dans Les Monades permet d’interpréter cette défense de la thèse monadologique comme une remise en cause par Condillac en 1747 de l’hétérogénéité qu’il a maintenue en 1746 dans l’ Essai sur l’origine des connaissances humaines entre l’étendue et les qualités dites secondes. En donnant en son nom propre une preuve (opposée à celle par la raison suffisante dans l’ Ontologia de Wolff) de la vérité de la thèse monadologique, Condillac essaie de fonder une parfaite phénoménalisation de l’étendue. La dissertation Les Monades ne doit pas être vue simplement comme un préliminaire à la critique des systèmes abstraits dans le Traité des systèmes de 1749. La tentative d’une monadologie réformée dans la dissertation de 1747 marque le commencement d’une interrogation sur l’idée d’étendue appelée à se poursuivre dans le Traité des sensations de 1754. (shrink)