Let NBG be von Neumann-Bernays-Gödel set theory without the axiom of choice and let NBGA be the modification which allows atoms. In this paper we consider some of the well-known class or global forms of the wellordering theorem, the axiom of choice, and maximal principles which are known to be equivalent in NBG and show they are not equivalent in NBGA.

We show that it is not possible to construct a Fraenkel-Mostowski model in which the axiom of choice for well-ordered families of sets and the axiom of choice for sets are both true, but the axiom of choice is false.

Two Fraenkel-Mostowski models are constructed in which the Boolean Prime Ideal Theorem is true. In both models, AC for countable sets is true, but AC for sets of cardinality 2math image and the 2m = m principle are both false. The Principle of Dependent Choices is true in the first model, but false in the second.

In Zermelo-Fraenkel set theory with the axiom of choice every set has the same cardinal number as some ordinal. Von Rimscha has weakened this condition to “Every set has the same cardinal number as some transitive set”. In set theory without the axiom of choice, we study the deductive strength of this and similar statements introduced by von Rimscha.

In this paper we study some statements similar to the Partition Principle and the Trichotomy. We prove some relationships between these statements, the Axiom of Choice, and the Generalized Continuum Hypothesis. We also prove some independence results. MSC: 03E25, 03E50, 04A25, 04A50.

We investigate the set theoretical strength of some properties of normality, including Urysohn's Lemma, Tietze-Urysohn Extension Theorem, normality of disjoint unions of normal spaces, and normality of Fσ subsets of normal spaces.

We study conditions for a topological space to be metrizable, properties of metrizable spaces, and the role the axiom of choice plays in these matters.

This is a continuation of [2]. We study the Tychonoff Compactness Theorem for various definitions of compactness and for various types of spaces . We also study well ordered Tychonoff products and the effect that the multiple choice axiom has on such products.

We study statements about countable and well-ordered unions and their relation to each other and to countable and well-ordered forms of the axiom of choice. Using WO as an abbreviation for “well-orderable”, here are two typical results: The assertion that every WO family of countable sets has a WO union does not imply that every countable family of WO sets has a WO union; the axiom of choice for WO families of WO sets does not imply that the countable union (...) of countable sets is WO. (shrink)

We find properties of topological spaces which are not shared by disjoint unions in the absence of some form of the Axiom of Choice.

Review of the paper mentioned in the title.

Jean-François Lyotard é un dos filósofos franceses da segunda mitade do século XX que intentou darlle unha oportunidade á elaboración dun pensamento do acontecemento a partir da súa unión co motivo da diferenza. O punto de arranque é a consideración de que o coñecemento non pode reducir toda diferenza a identidade, ao quedar sempre marxes e restos que non se poden traducir dunha lingua a outra nin asimilar por un concepto unificador. Lyotard apostará por tratar de prefigurar o xurdimento (...) da novidade cun pensamento que vaia máis alá do homoxéneo. A diferenza pretenderá deixar sinalados os restos inasimilables e intraducibles, tamén os despropósitos, mentres, asemade, dá espazo e lugar a un discurso e unha comunicación aberta, aínda que desaxustada, que axude a que algo aconteza. (shrink)

Résistance(s) réunit un ensemble de contributions scientifiques originales émanant de chercheurs en sciences humaines et sociales et consacré à la ou aux résistance(s). La résistance décrit les capacités de refus, d'évitement et d'adaptation développées par les acteurs lorsqu'ils sont confrontés à une imposition externe ou à une injonction institutionnelle. Elle se présente comme une interprétation des refus, des éventuelles ruses voire des conflits ouverts qui s'expriment dans une telle situation ; cette interprétation diffère cependant de sa simple manifestation dans la (...) mesure où elle recadre la rationalité et le bien-fondé de l'action ou de la réaction. Il n'est plus question d'y voir l'immaturité d'une population ou le sous-développement d'une nation incapable d'offrir une réponse adéquate à une tension du monde ou à une décision dont elles seraient l'objet. Au contraire, cette réponse est analysée comme pertinente dans le cadre précis de cette population ou de cette nation: ramener l'interaction à son cadre, intégrer dans sa perception les logiques endogènes qui ont présidé à son élaboration, affirmer la simple présence de telles logiques, c'est-à-dire d'une telle cohérence, revient à accepter l'idée même de cette résistance qui, intrinsèquement, exprime ainsi l'existence et la reconnaissance d'une réelle diversité."--Page 4 of cover. (shrink)

In three experiments we tested hypotheses derived from the goal specificity literature using a real-world physics task. In the balance-scale paradigm participants predict the state of the apparatus based on a configuration of weights at various distances from the fulcrum. Non-specific goals (NSG) have been shown to encourage hypothesis testing, which facilitates rule discovery, whereas specific goals (SG) do not. We showed that this goal specificity effect depends on task difficulty. The NSG strategy led to rule induction among some participants. (...) Among non-discoverers, SG participants were faster and more accurate on difficult problems than NSG participants. The use of misleading exemplars (scale configurations that obscured the rule governing outcomes) led to fixation on inappropriate hypotheses for NSG but not SG participants. When more diagnostic learning exemplars were used, NSG non-discoverers still performed worse than SG participants on difficult problems. SG participants also outperformed NSG participants on a post-test of difficult problems. These findings qualify the generality of goal specificity effects. (shrink)

L'Université de Paris, foyer primitif de l'humanisme.--Erasme de Rotterdam, père de l'humanisme.--Voltaire et "le siècle des lumières."--Goethe, événement européen et non pas allemand.--Nietzsche, éducateur et prophète.--Le message de Carl Spitteler à notre temps.--Rilke, "le nouvel Orphée.--La catastrophe mondiale et le bon Européen de l'avenir.

It is shown that if mental influence can change a position or momentum coordinate within the limits of the uncertainty principle, such change, when magnified by a single interaction, is sufficient to order the direction of traveling molecules. Mental influence could initiate an action potential in the brain through this process by using the impact of ordered molecules to open the gates of sodium channels in neuronal membranes. It is shown that about 80 ordered molecules, traveling at thermal velocity in (...) the intercellular medium in the brain, can break an ionic or covalent bond, and that the number needed to initiate an action potential is relatively small. If mental influence can act within the brain, it is reasonable to suppose it can act to some extent outside of it. If mental influence could not only order the direction of individual molecules, but coordinate this effect to produce a longitudinal pressure wave which is reasonably coherent across a macroscopic surface, only 10^4 molecules need be simultaneously affected to produce a detectible sound wave. Such an effect is not ordinarily observed, which suggests that if mental influence acts by ordering the direction of molecules, it acts at the level of individual molecules, but does not coordinate their motion. (shrink)

The concept of free will is central to our lives, as we make day-to-day decisions, and to our culture, in our ethical and legal systems. The very concept implies that what we choose can produce a change in our physical environment, whether by pressing a switch to turn out electric lights or choosing a long-term plan of action which can affect many people. Yet volition is not a part of presently known physical laws and it is not even known whether (...) it exists -- no physics experiments have ever established its presence. The purpose of this article is to make two points: first, that free will cannot be accounted for by presently known physical laws and second, that if free will exists, any description of its effects in the physical world would necessarily constitute a radical addition to presently known physical laws. (shrink)

It is assumed that mental action, such as free will, exists, and an exploration is made of its relationship to the brain, physical laws, and evolutionary selection. If the assumption is made that all content of conscious experience is encoded in the brain, it follows that free will must act as process only. This result is consistent with the experimental results of Libet and others that if free will exists, it must act by making a selection between alternatives provided by (...) the brain. Also, proposals for some additional actions of consciousness, besides free will, are reviewed. The use of mental action by consciousness is not in accord with presently known physics, in which physical changes are either deterministic or random, and an extension would have to be made to known physics to account for physical changes produced by such an action. However, such an extension could be fairly simple in overview, such as the assumption that consciousness can produce the ordering of randomness. Examples of several such theories are given. If consciousness can make selections among programs in the brain/nervous system, and thereby contribute to the formation of behavior, less programming would be needed, especially in situations affected by a variety of types of factors. For this reason consciousness might be present early in the evolutionary line for animals that explore new territory. Emotions and cognitive ability, even though determined by the brain, could be viewed as “choice guiders,” and for this reason their presence in an animal would indicate the presence of consciousness. (shrink)

It is not known whether consciousness can affect the physical world, as a result of a free will action or in some other way. To do so, it must be able to produce physical changes that cannot be accounted for by physical laws, an ability we will refer to as causal action, and several issues relevant to this possibility are discussed. 1) Until recently it was thought that the conservation laws of physics would prohibit causal action. It has now been (...) found that such is not the case, but other problems remain. 2) Observations of brain activity show that most of the process for determining a decision is done by the brain. However, the question of whether the final determination is done by mind or the brain is still open. The issue then arises that given the large amount of processing the brain can do, why would mind do this final step and if it does, why would the amount done by mind be so small? (shrink)

Experiments show that psi differs from known physical processes in a variety of ways, and these differences are described herein. Because of these, psi cannot be accounted for in terms of presently known physical laws. A number of theories, of which we review a sampling, suggest ways in which known physical laws might be expanded in order to account for psi. However, there is no agreement on which of these theories, if any, will ultimately provide a general explanation. A further (...) problem in studying psi is that it is elusive, i.e., methods are not presently known by which it can be reliably produced. However, if psi is real, its study can open the door to a new frontier of knowledge and contribute to our understanding of consciousness. (shrink)

Recent models of consciousness are reviewed which explore the relationship of consciousness to physical laws; many of these also explore the relationship of consciousness to biological findings. Issues investigated by these models are discussed, with the issues framed in a general way in order to provide a comparison between the models. In Part II the issues discussed include: Does all of the information content of consciousness correspond to neural coding in the brain? Does consciousness follow the brain passively, or can (...) it act independently? Is independent processing by consciousness compatible with the second law of thermodynamics? (shrink)

A new event is defined as an intervention in the time reversible dynamical trajectories of particles in a system. New events are then assumed to be quantum fluctuations in the spatial and momentum coordinates, and mental action is assumed to work by ordering such fluctuations. It is shown that when the cumulative values of such fluctuations in a mean free path of a molecule are magnified by molecular interaction at the end of that path, the momentum of a molecule can (...) be changed from its original direction to any other direction. In this way mental action can produce effects through the ordering of thermal motions. Examples are given which show that the ordering of 10^4 10^5 molecules is sufficient to (a) produce detectible PK results and (b) open sufficient ion channels in the brain to initiate a physical action. The relationship of the above model to the arrow of time is discussed. (shrink)

Recent models of consciousness are reviewed which explore the relationship of consciousness to physical laws; many of these also explore the relationship of consciousness to biological findings. Issues investigated by these models are discussed, with the issues framed in a general way in order to provide a comparison between the models. In Part I the issues discussed are: (1) What is the causal relationship between consciousness and the physical world (physicalism, dualism, etc.)? and (2) What physical characteristics are associated with (...) the interface between brain/physical world and consciousness? (shrink)

Psychotherapy clients read two consumer-oriented brochures: a general brochure on psychology and a brochure on the topic of client-therapist intimacy. Half of the participants read the general brochure first and the brochure on client-therapist intimacy second, and half the participants did the reverse. Participants reported favorable reactions to the brochures, indicating they thought both should be made available to psychotherapy clients; that neither were too long, too sensitive, or too difficult to read; and that the brochures should be made available (...) early during the therapeutic process. After reading the client-therapist intimacy brochure, participants also showed some changes in Likert-type scores measuring attitudes regarding intimate contact between clients and therapists. Although participants were more negative about issues of sexual misconduct after reading the client-therapist intimacy brochure, they did not indicate a decrease in trust of therapists, nor did they indicate a greater likelihood of filing a false complaint. We concluded that therapists' reservations about presenting clients with factual information regarding therapist sexual exploitation of clients are not empirically founded. (shrink)

The possibility of empirical test is discussed with respect to three issues: (1) What is the ontological relationship between consciousness and the brain/physical world? (2) What physical characteristics are associated with the mind/brain interface? (3) Can consciousness act on the brain independently of any brain process?