This paper investigates when it is possible for a partial ordering P to force Pκ(λ) \ V to be stationary in VP. It follows from a result of Gitik that whenever P adds a new real, then Pκ(λ) \ V is stationary in VP for each regular uncountable cardinal κ in VP and all cardinals λ > κ in VP [4]. However, a covering theorem of Magidor implies that when no new ω-sequences are added, large cardinals become necessary [7]. The (...) following is equiconsistent with a proper class of ω₁-Erdős cardinals: If P is N₁-Cohen forcing, then Pκ(λ) \ V is stationary in VP, for all regular κ ≥ N₂ and all λ > κ. The following is equiconsistent with an ω₁-Erdős cardinal: If P is N₁-Cohen forcing, then PN₂ (N₃) \ V is stationary in VP. The following is equiconsistent with κ measurable cardinals: If P is κ-Cohen forcing, then Pκ + (Nκ \ V is stationary in VP. (shrink)

Global co-stationarity of the ground model from an N₂-c.c, forcing which adds a new subset of N₁ is internally consistent relative to an ω₁-Erdös hyperstrong cardinal and a sufficiently large measurable above.

The universal homogeneous triangle-free graph, constructed by Henson [A family of countable homogeneous graphs, Pacific J. Math.38(1) (1971) 69–83] and denoted H3, is the triangle-free analogue of the Rado graph. While the Ramsey theory of the Rado graph has been completely established, beginning with Erdős–Hajnal–Posá [Strong embeddings of graphs into coloured graphs, in Infinite and Finite Sets. Vol.I, eds. A. Hajnal, R. Rado and V. Sós, Colloquia Mathematica Societatis János Bolyai, Vol. 10 (North-Holland, 1973), pp. 585–595] and culminating in work (...) of Sauer [Coloring subgraphs of the Rado graph, Combinatorica26(2) (2006) 231–253] and Laflamme–Sauer–Vuksanovic [Canonical partitions of universal structures, Combinatorica26(2) (2006) 183–205], the Ramsey theory of H3 had only progressed to bounds for vertex colorings [P. Komjáth and V. Rödl, Coloring of universal graphs, Graphs Combin.2(1) (1986) 55–60] and edge colorings [N. Sauer, Edge partitions of the countable triangle free homogenous graph, Discrete Math.185(1–3) (1998) 137–181]. This was due to a lack of broadscale techniques. We solve this problem in general: For each finite triangle-free graph G, there is a finite number T(G) such that for any coloring of all copies of G in H3 into finitely many colors, there is a subgraph of H3 which is again universal homogeneous triangle-free in which the coloring takes no more than T(G) colors. This is the first such result for a homogeneous structure omitting copies of some nontrivial finite structure. The proof entails developments of new broadscale techniques, including a flexible method for constructing trees which code H3 and the development of their Ramsey theory. (shrink)

Analogues of Ramsey’s Theorem for infinite structures such as the rationals or the Rado graph have been known for some time. In this context, one looks for optimal bounds, called degrees, for the number of colors in an isomorphic substructure rather than one color, as that is often impossible. Such theorems for Henson graphs however remained elusive, due to lack of techniques for handling forbidden cliques. Building on the author’s recent result for the triangle-free Henson graph, we prove that for (...) each [Formula: see text], the k-clique-free Henson graph has finite big Ramsey degrees, the appropriate analogue of Ramsey’s Theorem. We develop a method for coding copies of Henson graphs into a new class of trees, called strong coding trees, and prove Ramsey theorems for these trees which are applied to deduce finite big Ramsey degrees. The approach here provides a general methodology opening further study of big Ramsey degrees for ultrahomogeneous structures. The results have bearing on topological dynamics via work of Kechris, Pestov, and Todorcevic and of Zucker. (shrink)

The generic ultrafilter${\cal G}_2 $forced by${\cal P}\left/\left$was recently proved to be neither maximum nor minimum in the Tukey order of ultrafilters, but it was left open where exactly in the Tukey order it lies. We prove${\cal G}_2 $that is in fact Tukey minimal over its projected Ramsey ultrafilter. Furthermore, we prove that for each${\cal G}_2 $, the collection of all nonprincipal ultrafilters Tukey reducible to the generic ultrafilter${\cal G}_k $forced by${\cal P}\left/{\rm{Fin}}^{ \otimes k} $forms a chain of lengthk. Essential to (...) the proof is the extraction of a dense subsetεkfrom +which we prove to be a topological Ramsey space. The spacesεk,k≥ 2, form a hierarchy of high dimensional Ellentuck spaces. New Ramsey-classification theorems for equivalence relations on fronts on εkare proved, extending the Pudlák–Rödl Theorem for fronts on the Ellentuck space, which are applied to find the Tukey and Rudin–Keisler structures below${\cal G}_k $. (shrink)

We extend the hierarchy of finite-dimensional Ellentuck spaces to infinite dimensions. Using uniform barriers [Formula: see text] on [Formula: see text] as the prototype structures, we construct a class of continuum many topological Ramsey spaces [Formula: see text] which are Ellentuck-like in nature, and form a linearly ordered hierarchy under projections. We prove new Ramsey-classification theorems for equivalence relations on fronts, and hence also on barriers, on the spaces [Formula: see text], extending the Pudlák–Rödl theorem for barriers on the Ellentuck (...) space. The inspiration for these spaces comes from continuing the iterative construction of the forcings [Formula: see text] to the countable transfinite. The [Formula: see text]-closed partial order [Formula: see text] is forcing equivalent to [Formula: see text], which forces a non-p-point ultrafilter [Formula: see text]. This work forms the basis for further work classifying the Rudin–Keisler and Tukey structures for the hierarchy of the generic ultrafilters [Formula: see text]. (shrink)

A general method for constructing a new class of topological Ramsey spaces is presented. Members of such spaces are infinite sequences of products of Fraïssé classes of finite relational structures satisfying the Ramsey property. The Product Ramsey Theorem of Sokič is extended to equivalence relations for finite products of structures from Fraïssé classes of finite relational structures satisfying the Ramsey property and the Order-Prescribed Free Amalgamation Property. This is essential to proving Ramsey-classification theorems for equivalence relations on fronts, generalizing the (...) Pudlák–Rödl Theorem to this class of topological Ramsey spaces. To each topological Ramsey space in this framework corresponds an associated ultrafilter satisfying some weak partition property. By using the correct Fraïssé classes, we construct topological Ramsey spaces which are dense in the partial orders of Baumgartner and Taylor generating p-points which are k-arrow but not \-arrow, and in a partial order of Blass producing a diamond shape in the Rudin-Keisler structure of p-points. Any space in our framework in which blocks are products of n many structures produces ultrafilters with initial Tukey structure exactly the Boolean algebra \\). If the number of Fraïssé classes on each block grows without bound, then the Tukey types of the p-points below the space’s associated ultrafilter have the structure exactly \. In contrast, the set of isomorphism types of any product of finitely many Fraïssé classes of finite relational structures satisfying the Ramsey property and the OPFAP, partially ordered by embedding, is realized as the initial Rudin-Keisler structure of some p-point generated by a space constructed from our template. (shrink)

Relative to a hyperstrong cardinal, it is consistent that measure one covering fails relative to HOD. In fact it is consistent that there is a superstrong cardinal and for every regular cardinal κ, κ + is greater than κ + of HOD. The proof uses a very general lemma showing that homogeneity is preserved through certain reverse Easton iterations.

A Turing degree a is said to be almost everywhere dominating if, for almost all $X \in 2^{\omega}$ with respect to the "fair coin" probability measure on $2^{\omega}$ , and for all g: $\omega \rightarrow \omega$ Turing reducible to X, there exists f: $\omega \rightarrow \omega$ of Turing degree a which dominates g. We study the problem of characterizing the almost everywhere dominating Turing degrees and other, similarly defined classes of Turing degrees. We relate this problem to some questions in (...) the reverse mathematics of measure theory. (shrink)

We study ultrafilters onω2produced by forcing with the quotient of${\cal P}$(ω2) by the Fubini square of the Fréchet filter onω. We show that such an ultrafilter is a weak P-point but not a P-point and that the only nonprincipal ultrafilters strictly below it in the Rudin–Keisler order are a single isomorphism class of selective ultrafilters. We further show that it enjoys the strongest square-bracket partition relations that are possible for a non-P-point. We show that it is not basically generated but (...) that it shares with basically generated ultrafilters the property of not being at the top of the Tukey ordering. In fact, it is not Tukey-above [ω1]<ω, and it has only continuum many ultrafilters Tukey-below it. A tool in our proofs is the analysis of similar (but not the same) properties for ultrafilters obtained as the sum, over a selective ultrafilter, of nonisomorphic selective ultrafilters. (shrink)

Henle, Mathias, and Woodin proved in [21] that, provided that${\omega }{\rightarrow }({\omega })^{{\omega }}$holds in a modelMof ZF, then forcing with$([{\omega }]^{{\omega }},{\subseteq }^*)$overMadds no new sets of ordinals, thus earning the name a “barren” extension. Moreover, under an additional assumption, they proved that this generic extension preserves all strong partition cardinals. This forcing thus produces a model$M[\mathcal {U}]$, where$\mathcal {U}$is a Ramsey ultrafilter, with many properties of the original modelM. This begged the question of how important the Ramseyness of$\mathcal (...) {U}$is for these results. In this paper, we show that several classes of$\sigma $-closed forcings which generate non-Ramsey ultrafilters have the same properties. Such ultrafilters include Milliken–Taylor ultrafilters, a class of rapid p-points of Laflamme,k-arrow p-points of Baumgartner and Taylor, and extensions to a class of ultrafilters constructed by Dobrinen, Mijares, and Trujillo. Furthermore, the class of Boolean algebras$\mathcal {P}({\omega }^{{\alpha }})/{\mathrm {Fin}}^{\otimes {\alpha }}$,$2\le {\alpha }<{\omega }_1$, forcing non-p-points also produce barren extensions. (shrink)

We investigate the effects of various forcings on several forms of the Halpern– Läuchli theorem. For inaccessible κ, we show they are preserved by forcings of size less than κ. Combining this with work of Zhang in [17] yields that the polarized partition relations associated with finite products of the κ-rationals are preserved by all forcings of size less than κ over models satisfying the Halpern– Läuchli theorem at κ. We also show that the Halpern–Läuchli theorem is preserved by <κ-closed (...) forcings assuming κ is measurable, following some observed reflection properties. (shrink)

We characterize the (κ, Λ, < μ)-distributive law in Boolean algebras in terms of cut and choose games $\scr{G}_{<\mu}^{\kappa}(\lambda)$ , when μ ≤ κ ≤ Λ and κ<κ = κ. This builds on previous work to yield game-theoretic characterizations of distributive laws for almost all triples of cardinals κ, Λ, μ with μ ≤ Λ, under GCH. In the case when μ ≤ κ ≤ Λ and κ<κ = κ, we show that it is necessary to consider whether the κ-stationarity (...) of Pκ+Λ in the ground model is preserved by B. In this vein, we develop the theory of κ-club and κ-stationary subsets of Pκ+Λ. We also construct Boolean algebras in which Player I wins $\scr{G}_{\kappa}^{\kappa}(\kappa ^{+})$ but the (κ, ∞, κ)-d.1, holds, and, assuming GCH, construct Boolean algebras in which many games are undetermined. (shrink)

We characterize the -distributive law in Boolean algebras in terms of cut and choose games.

We discuss the relationship between various weak distributive laws and games in Boolean algebras. In the first part we give some game characterizations for certain forms of Prikry’s “hyper-weak distributive laws”, and in the second part we construct Suslin algebras in which neither player wins a certain hyper-weak distributivity game. We conclude that in the constructible universe L, all the distributivity games considered in this paper may be undetermined.

We build a collection of topological Ramsey spaces of trees giving rise to universal inverse limit structures, extending Zheng’s work for the profinite graph to the setting of Fraïssé classes of finite ordered binary relational structures with the Ramsey property. This work is based on the Halpern-Läuchli theorem, but different from the Milliken space of strong subtrees. Based on these topological Ramsey spaces and the work of Huber-Geschke-Kojman on inverse limits of finite ordered graphs, we prove that for each such (...) Fraïssé class, its universal inverse limit structure has finite big Ramsey degrees under finite Baire-measurable colorings. For such Fraïssé classes satisfying free amalgamation as well as finite ordered tournaments and finite partial orders with a linear extension, we characterize the exact big Ramsey degrees. (shrink)

This paper investigates properties of \(\sigma \) -closed forcings which generate ultrafilters satisfying weak partition relations. The Ramsey degree of an ultrafilter \({\mathcal {U}}\) for _n_-tuples, denoted \(t({\mathcal {U}},n)\), is the smallest number _t_ such that given any \(l\ge 2\) and coloring \(c:[\omega ]^n\rightarrow l\), there is a member \(X\in {\mathcal {U}}\) such that the restriction of _c_ to \([X]^n\) has no more than _t_ colors. Many well-known \(\sigma \) -closed forcings are known to generate ultrafilters with finite Ramsey degrees, (...) but finding the precise degrees can sometimes prove elusive or quite involved, at best. In this paper, we utilize methods of topological Ramsey spaces to calculate Ramsey degrees of several classes of ultrafilters generated by \(\sigma \) -closed forcings. These include a hierarchy of forcings due to Laflamme which generate weakly Ramsey and weaker rapid p-points, forcings of Baumgartner and Taylor and of Blass and generalizations, and the collection of non-p-points generated by the forcings \({\mathcal {P}}(\omega ^k)/\mathrm {Fin}^{\otimes k}\). We provide a general approach to calculating the Ramsey degrees of these ultrafilters, obtaining new results as well as streamlined proofs of previously known results. In the second half of the paper, we calculate pseudointersection and tower numbers for these \(\sigma \) -closed forcings and their relationships with the classical pseudointersection number \({\mathfrak {p}}\). (shrink)

This paper describes how to ethically conduct research with Black populations at the intersection of COVID-19 and the Black Lives Matter movement. We highlight the issues of historical mistrust in the USA and how this may impact Black populations’ participation in COVID-19 vaccination trials. We provide recommendations for researchers to ethically engage Black populations in research considering the current context. Our recommendations include understanding the impact of ongoing trauma, acknowledging historical context, ensuring diverse research teams and engaging in open and (...) honest conversations with Black populations to better address their needs. The core of our recommendation is recognising the impact of trauma in our research and health care practices. (shrink)

Early life -- The decline of Athens -- The making of a philosopher -- A self-proclaimed gadfly -- Socrates on trial -- Socrates' execution and legacy.

In this chapter, Natasha McKeever and Luke Brunning consider (sexual) jealousy in romantic life. They argue that jealousy is best understood as an emotional response to the threatened loss of love or attention, to which one feels deserving, because of a rival. Furthermore, the general value of jealousy can be questioned, and jealousy’s instrumental value needs to be balanced against a range of potential harms. They assess two potential ways of managing jealousy (which are not mutually exclusive)—firstly by adopting (...) a policy of monogamy and secondly by engaging in emotional work. Neither of these methods is easy, and neither will solve jealousy altogether, but Brunning and McKeever argue that the second strategy should be taken more seriously. (shrink)

Aversive autobiographical memories sometimes prompt maladaptive emotional responses and contribute to affective dysfunction in anxiety and depression. One way to regulate the impact of such memories is to create a downward counterfactual thought–a mental simulation of how the event could have been worse–to put what occurred in a more positive light. Despite its intuitive appeal, counterfactual thinking has not been systematically studied for its regulatory efficacy. In the current study, we compared the regulatory impact of downward counterfactual thinking, temporal distancing, (...) and memory rehearsal in 54 adult participants representing a spectrum of trait anxiety. Participants recalled regretful experiences and rated them on valence, arousal, regret, and episodic detail. Two to six days later, they created a downward counterfactual of the remembered event, thought of how they might feel about it 10 years from now, or simply rehearsed it. A day later, participants re-rated the phenomenological characteristics of the events. Across all participants, downward counterfactual thinking, temporal distancing, and memory rehearsal were equally effective at reducing negative affect associated with a memory. However, in individuals with higher trait anxiety, downward counterfactual thinking was more effective than rehearsal for reducing regret, and it was as effective as distancing in reducing arousal. We discuss these results in light of the functional theory of counterfactual thinking and suggest that they motivate further investigation into downward counterfactual thinking as a means to intentionally regulate emotional memories in affective disorders. (shrink)

This study aims to investigate the spillover impact of work-family/family–work conflict and stress on five major industrial sectors, during the first wave of Covid-19. The purpose of this cross-sectional study is twofold; firstly, to test a hypothesized model where work-family/family-work conflicts are related to stress and where stress could exert a mediating role in such relationships. Secondly, we seek to explore the presence of these conflicts and stress in each of the five major industrial sectors and evaluate if there are (...) significant differences between them, identifying the sociodemographic characteristics associated. Two questionnaires were applied to 748 employees from the selected industries. According to our results, stress predicts both types of conflict and also exerts a mediator role. It was primarily found that the five sectors are significantly different regarding the work-family/family-work conflicts and stress. Findings and implications are discussed. (shrink)

The definition of consumerism is multifaceted, extending from the consumption of goods and services to its more negative connotations: the obsessive consumption of goods, exploitation of the people who create them and greed. In a society heavily influenced by consumerism, we find ourselves manipulated by social media and targeted advertising to buy goods or to cultivate a certain lifestyle, raising important ethical questions about responsibility and our autonomy to make decisions. How has the nature of how we create and consume (...) goods evolved and how is this linked to moral responsibility and autonomy? Can it also be argued that there is aesthetic appreciation to be gained from some of the items that we create and consume? (shrink)

Are the state’s obligations to victims of its own wrongdoing greater than to persons who have suffered from bad luck? Many people endorse an affirmative answer to this question. Call this the Difference View. This view can seem arbitrary from the perspective of the victims in question; why should a victim of bad luck, who is just as badly off through no fault of her own, be entitled to less assistance from the state than a victim of state-caused wrongful harm? (...) This paper defends a qualified version of the Difference View, the Threshold Version of the Difference View. According to this view, all disadvantaged persons, no matter what the cause of their disadvantage, must be compensated until they reach a minimum threshold of wellbeing; however, among disadvantaged persons above this threshold, full compensation is owed for those who are victims of state wrongdoing, whereas full compensation is not necessarily owed to those who are disadvantaged due to bad luck. (shrink)

For many families, the idea of going out for walks and family adventures can be a dream that is erased by the determination of autistic spectrum in a child. Gaps in the health and quality of life of young people with autism spectrum disorder (ASD) are well documented. One particularly noticeable gap that affects both physical health and quality of life is in the area of outdoor recreation, particularly including outdoor recreation activities such as biking, hiking, running, canoeing/kayaking, horseback riding, (...) and skiing. Of the many outdoor activities to promote physical fitness, hiking is perhaps the most versatile and accessible for people with ASD. Hiking is a natural extension of walking. It is one of the first skills we acquire, one of the most important activities in everyday life and one of the few forms of recreation that does not require specific equipment and conditions. On the other hand, except for perhaps the most densely populated urban areas, there are almost always trails nearby. Lately even urban hikes that move around the city are becoming more and more popular. Whether you’re climbing the mountains at an expert level or hiking a trail, hiking gets your kids moving, which is of utmost importance in our modern society, when childhood seems to be filled more and more with time spent in front of the screens, and for children with autism this can become a serious problem. The main goal of this paper, on the one hand, is to increase awareness of the importance of hiking for psychophysical health, both for people from the general population and for people with ASD, but also to give recommendations for the approach and the way of organizing hiking activities for people with ASD, on the other hand. (shrink)

In a review of the cell biology and heredity studies of 1900–1910, Bernardino Fantini argues that the choice of an experimental subject or organism was crucial in opening up new discoveries and new theories for specific fields of research.69 Thinking on a broader level, Bütschli expressed a similar view when he stated that an understanding of the true nature and structure of the “elementary organism” was crucial to the whole of biology. In this article we have traced the impact of (...) Bütschli's unicellular model of protozoa up to the general acceptance of the eukaryotic cell as nature's primary organism. We have also seen that Bütschli's vision in the Studien gave birth to Protistenforschung and Zellforschung, sister sciences whose task it was to further and integrate knowledge of the living cell. Of necessity, we have confined ourselves to German scientific developments. However, our attempt to recapture and define the unity and meaning of a biology of the “cell-microcosm” has given us pause to reconsider the development and nature of Wilhelmian biological science. (shrink)

Conscience and Conscientious Objection of Health Care Professionals Refocusing the Issue Content Type Journal Article Pages 351-364 DOI 10.1007/s10730-009-9113-x Authors Natasha T. Morton, The University of Western Ontario Ontario Canada N6A 5B9 Kenneth W. Kirkwood, Arthur and Sonia Labatt Health Sciences Building London Ontario Canada N6A 5B9 Journal HEC Forum Online ISSN 1572-8498 Print ISSN 0956-2737 Journal Volume Volume 21 Journal Issue Volume 21, Number 4.

This book explores the ethical problems of algorithmic bias and its potential impact on populations that experience health disparities by examining the historical underpinnings of explicit and implicit bias, the influence of the social determinants of health, and the inclusion of racial and ethnic minorities in data. Over the last twenty-five years, the diagnosis and treatment of disease have advanced at breakneck speeds. Currently, we have technologies that have revolutionized the practice of medicine, such as telemedicine, precision medicine, big data, (...) and AI. These technologies, especially AI, promise to improve the quality of patient care, lower health care costs, improve patient treatment outcomes, and decrease patient mortality. AI may also be a tool that reduces health disparities; however, algorithmic bias may impede its success. This book explores the risks of using AI in the context of health disparities. It is of interest to health services researchers, ethicists, policy analysts, social scientists, health disparities researchers, and AI policy makers. (shrink)

Refugees and asylum seekers may experience challenges related to pre-arrival experiences, structural disadvantage after migration and during resettlement requiring the need for special protection when participating in research. The aim was to review if and how people with refugee and asylum seeker backgrounds have had their need for special protection addressed in national and international research ethics guidelines. A systematic search of grey literature was undertaken. The search yielded 2187 documents of which fourteen met the inclusion criteria. Few guidelines addressed (...) specific ethical considerations for vulnerable groups much less people with refugee and asylum seeker backgrounds. One guideline explicitly addressed vulnerability for refugees and asylums seekers. To ensure members of ethics committees and researchers consider the potential challenges of conducting research with these groups, guidelines may need to be supplemented with a refugee and asylum seeker specific research ethics framework. Such a framework may be necessary to optimally protect people with refugee and asylum seeker backgrounds in research. (shrink)

Counterfactual thinking, or simulating alternative versions of occurred events, is a common psychological strategy people use to process events in their lives. However, CFT is also a core com...

This text responds to the review forum on The Life and Death of States featuring Clara Maier, Kathryn Ciancia, Charles Maier, and Nathaniel Berman. It considers the place of Central Europe and the Habsburg Empire in our geographies of the modern world. Rather than hopelessly hamstrung by backwardness, the empire and its subjects were, in Clara Maier’s words, “simply struggling more insistently than complacent Westerners with the perplexities of the modern condition.” The text also considers questions of the post-colonial and (...) the post-imperial, literary genre, and the relationship between conceptual clarity and political legitimacy. (shrink)

Previous work has shown that memory performance in older adults is affected by activation of a stereotype of age-related memory decline. In the present experiment, we examined whether stereotype threat would affect metamemory in older adults; that is, whether under stereotype threat they make poorer judgments about what they could remember. We tested older adults (MAge= 66.18 years) on a task in which participants viewed words paired with point values and “bet” on whether they could later recall each word. If (...) they bet on and recalled a word, they gained those points, but if they bet on and failed to recall a word, they lost those points. Thus, this task required participants to monitor how much they could remember and prioritize high value items. Participants performed this task over six lists of items either under stereotype threat about age-related memory decline or not under stereotype threat. Participants from both groups performed similarly on initial lists, but on later lists, participants under stereotype threat showed impaired performance as indicated by a lower average point score and a lower average gamma coefficient. The results suggest that a modest effect of stereotype threat on recall combined with a modest effect on metacognitive judgments to result in a performance deficit. This pattern of results may reflect an effect of stereotype threat on executive control reducing the ability to strategically use memory. (shrink)

Gender differences in children’s and adults’ time use are well documented, but few have examined the intervening period—young adulthood. Because many Americans navigate higher education in young adulthood, college time use provides insight into how gendered behaviors evolve during this critical life stage. Using three years of time use data from the National Longitudinal Survey of Freshmen and latent transition analysis, I examine gender differences in time use within and across the college years for those in selective institutions. Among students (...) whose time use is consistent throughout college, I find that women exhibit academically-oriented time use more often, and men exhibit socially oriented time use more often. However, many men transition from social time use at the beginning of college to academic time use toward the end—to the extent that gender gaps in academic time use converge by the third year. I argue that men and women construct distinct college pathways, and that men, in particular, must reroute their time use to accommodate gendered expectations for the transition to adulthood. (shrink)

Creativity is an imperative need of the twenty-first century, and it seems to be a skill that will monopolize interest for many years. It is, in substance, a newly established scientific field and despite attempts to encroach on the science of psychology, its origin and functions have not been probed yet. Still, it continues to be researched, with ever-increasing vigor, almost in every area of science and action, with the main scope of potential exploitation being education. The philosophical foundation of (...) creativity has not reached the depths that one would expect, and most scientists-thinkers (and... (shrink)