Some questions connected with the carry over of fundamental group theory to constructive mathematics, and with the relationship between classical and constructive group theories are considered herein. All the considerations are carried out within the scope of constructive mathematics.

Sensible people advise one not to expend one's strength on polemics. And sensible people are right, of course. But look at the history of social thought: there is no peace beneath the olives, and without the flames of social thought, even the pure light of science begins to flicker.

Many solemn words were uttered in connection with the Herzen anniversary. The ceremonial feast is long past, and the fires of the celebration have been extinguished. Yet Herzen is for us such a peak of revolutionary thought that it is not too late to write of him even post festum - "after the holiday.".

Practical ideas have been put forth here, and do not blame me if I repeat some of them. Those speeches that emphasized the primacy of the idea of socialization particularly pleased me. It must always, as a goal, take precedence over any curriculum. There is no need to explain why. We know that instruction is more mechanical in character, while socialization, by its very nature, is more organic. But man is an organic being, and everything that comes from without has (...) to be integrated into or rejected by his character. The experience we derive from the world without, as well as all formal teaching, passes through an organic process in order to become our possession. A cultivated person is one in whom all acquired knowledge and skills have become second nature, or culture, have become part of his flesh and blood, have been organically assimilated and are manifested freely and without constraint. (shrink)

Of the many questions to which the RST has given rise, I should like to single out two groups.

Mikhail Lifshitz is a major forgotten figure in the tradition of Marxist philosophy and art history. _The Crisis of Ugliness_, published here in English for the first time, is a compact broadside against modernism in the visual arts that resists the dogmatic complacencies of Stalinist aesthetics.

ʻEdut be-Hosef -- Derekh ʻets ha-ḥayim -- Refuʼat ha-nefesh -- ha-Tapuaḥ.

kerekh 1. Ba-halakhah uve-agadah -- kerekh 2. [without special title].

A new view of the functional role of the left anterior cortex in language use is proposed. The experimental record indicates that most human linguistic abilities are not localized in this region. In particular, most of syntax (long thought to be there) is not located in Broca's area and its vicinity (operculum, insula, and subjacent white matter). This cerebral region, implicated in Broca's aphasia, does have a role in syntactic processing, but a highly specific one: It is the neural home (...) to receptive mechanisms involved in the computation of the relation between transformationally moved phrasal constituents and their extraction sites (in line with the Trace-Deletion Hypothesis). It is also involved in the construction of higher parts of the syntactic tree in speech production. By contrast, basic combinatorial capacities necessary for language processing – for example, structure-building operations, lexical insertion – are not supported by the neural tissue of this cerebral region, nor is lexical or combinatorial semantics. The dense body of empirical evidence supporting this restrictive view comes mainly from several angles on lesion studies of syntax in agrammatic Broca's aphasia. Five empirical arguments are presented: experiments in sentence comprehension, cross-linguistic considerations (where aphasia findings from several language types are pooled and scrutinized comparatively), grammaticality and plausibility judgments, real-time processing of complex sentences, and rehabilitation. Also discussed are recent results from functional neuroimaging and from structured observations on speech production of Broca's aphasics. Syntactic abilities are nonetheless distinct from other cognitive skills and are represented entirely and exclusively in the left cerebral hemisphere. Although more widespread in the left hemisphere than previously thought, they are clearly distinct from other human combinatorial and intellectual abilities. The neurological record (based on functional imaging, split-brain and right-hemisphere-damaged patients, as well as patients suffering from a breakdown of mathematical skills) indicates that language is a distinct, modularly organized neurological entity. Combinatorial aspects of the language faculty reside in the human left cerebral hemisphere, but only the transformational component (or algorithms that implement it in use) is located in and around Broca's area. Key Words: agrammatism; aphasia; Broca's area; cerebral localization; dyscalculia; functional neuroanatomy; grammatical transformation; modularity; neuroimaging; syntax; trace deletion. (shrink)

Binz et al. highlight the potential of meta-learning to greatly enhance the flexibility of AI algorithms, as well as to approximate human behavior more accurately than traditional learning methods. We wish to emphasize a basic problem that lies underneath these two objectives, and in turn suggest another perspective of the required notion of “meta” in meta-learning: knowing what to learn.

In this paper I shall offer new definitions for what seem to be the most dominant terms in Epicurus’ theory of pleasures - “kinetic” and “katastematic”. While most of the scholarly literature treats these terms as entirely concerned with states of motion and states of stability, I shall argue that the distinction concerns whether pain is or is not removed by this or that pleasure. As the removal of pain is a necessary condition for the Epicurean goal of ataraxia and (...) aponia, “katastematic” pleasure, having to do with the removal of pain, is the necessary pleasure pertaining both to the process of removing pain and to its result, namely the absence of pain, while “kinetic” pleasure is an unnecessary pleasure having nothing to do with the removal of pain, e.g. it starts after pain has been removed. If my analysis and interpretation prove correct, the two conventional classifications - “kinetic-katastematic” and “necessary-unnecessary” - turn out to be referring to the same phenomenon and are aspects of one classification. Moreover, this new interpretation resolves some of the main problems arising from our testimonia concerning “kinetic” and “katastematic” pleasures. (shrink)

Decision making is a fundamental aspect of cognition that lies at the heart of theories about behaviour, learning, and mental processing. It spans multiple levels of complexity, from high-level planning to low-level movement control and perceptual recognition. Tracking the evolutionary trajectory of this elementary cognitive process can illuminate the foundations of behaviour and brain functions. This paper highlights a previously understudied defining feature of decision mechanisms: the ways in which mutual exclusion between alternatives is achieved. We argue that any decision (...) is defined by a set of mutually exclusive alternatives, and this exclusivity – rather than the specific identity of the alternatives – requires specialized mechanisms. We demonstrate how the physical body of simple decision-making entities can serve as such a mechanism, and that the detachment of these mechanisms from bodily and environmental constraints enabled complex decision-making. Furthermore, while many theories emphasize how the evolution of neural circuits enhanced integration and control through associative structures, we propose that the evolution of mutual exclusion requires non-associative constructions. We conclude that understanding the evolution of these mechanisms is crucial for studying cognitive evolution, and we propose a potential evolutionary trajectory. (shrink)

In this paper I argue that a Bio-Social conception of “race” is a socially salient conception within the United States. This conception is “socially salient” in the sense that is demonstrative of public understanding and public use of the race concept within context of the United States and its member institutions. This conception is “Bio-Social” in the sense that a set of biological and social properties form the necessary conditions for “race” and “racial group membership.” I explain that these biological (...) and social properties are the social interpretation of ancestral relations to geographically and culturally specified groups. (shrink)

The Upper Palaeolithic Revolution, sometimes called ‘the Creative Explosion’, is seen as the period when the forefathers of modern forager societies emerged. Similarly to the Industrial and Neolithic Revolutions, it represents a short time span when numerous inventions appeared and cultural changes occurred. The inventions were in the domain of technology, that is, shaping of new stone tool forms, longdistance exchange of raw materials, the use of bone, antler and ivory as well as rare minerals for the production of domestic (...) and ritual objects. Spatial analysis of ‘living floors’ indicates the presence of a kitchen area, sleeping grounds, storage facilities (in certain regions) and a discard zone. We can also detect a certain increase in social hierarchy and the presence of shamans. Body decorations indicate the appearance of personal individuality. Several hypotheses were offered as an explanation for the initiation of all these cultural changes often grouped under the term ‘modern behaviour’. It stands to reason that attributing the new successful technologies observed in the Eurasian Upper Palaeolithic to intrinsic social processes and economic innovations by local Middle Palaeolithic populations would need a better archaeological demonstration than that available today. For the time being, the emergence of Modern humans in sub-Saharan Africa, their socio-economic dynamism that caused their expansion through the Nile Valley into the Near East, and their migration along the ‘southern route’ of Asia as far as Australia, is the most plausible scenario though it still leaves much to be desired from future archaeological research. (shrink)