The purpose of the study is to consider the concept of "philosopheme", which allows analyzing such basic categories of philosophical and legal reflections of the writer and thinker F.M. Dostoevsky as crime and punishment and correlating their interpretation with his personal life experience. The scientific novelty of the work lies in the fact that through the disclosure of the content of the philosophems "crime" and "punishment", the existential aspects of F.M. Dostoevsky's anthropological and philosophical-legal reflections are revealed. As a result (...) of the analysis of Dostoevsky's novel "Crime and Punishment", his other works, the writer's letters, autobiographical testimonies, it becomes clear that the core of these philosophies for Dostoevsky is a moral code that allows a person to overcome the" disconnection "and" disconnection " of modern man's being both with himself and with society. (shrink)

Could anyone shake nineteenth century Russia out of herphilosophico-juridical stagnation? Was there anyone whodared speak of rights, of freedoms based on vital principles?Was there anyone who had the courage to suggest that the lawof force be turned into recognition of the force of law, orwas bold enough to call for the revival of natural law onits idealist reading? Solov'ëv turned out to be the thinkerwho was able to do these things. An amateur in juridicalquestions, remote from the enlightenment rationalizations ofpolitical (...) liberalism, Solov'ëv set out to lay the basis forjuridical freedom in way that was unexpected philosophicallyand culturally. (shrink)

This paper analyzes the treatment of nature and technology in the writings of two prominent early Zionist thinkers, A. D. Gordon and Theodor Herzl. At the heart of Herzl’s vision, we find technocrats applying industrial systems to dominate the naked nature that Gordon is committed to preserve. Gordon, in contrast, describes Jewish national revival as triggered by farmers utilizing Eretz Israel’s natural world to extract Jews from industrial society, underwriting Herzl’s Zionist vision. Expanding the analysis to the domains of nature (...) and technology reveals the two thinkers’ creeds to be rival Zionist ideologies in which nature and technology serve as catalysts for competing visions of national revival. (shrink)

The global economic crisis makes closer collaboration between economics and other social sciences even more urgent. One major cause of divergence has been the attitudes of the parties towards the ‘market’. Yet, the market economy, in all its diversity, is one of the immutable facts of modern life. Understanding the causes of its survival will improve the dialogue. Another interesting puzzle is the lack of credible alternatives to it despite the depth of the crisis. The experience of the economists in (...) constructing models of society based on the behaviour of individuals composing it can be valuable for other social sciences. We apply the framework developed by ‘institutional economics’ to gain insights into the relations between Islam, capitalism and democracy. The article finishes with some observations on Turkey and draws lessons for other Muslim societies. (shrink)

The global economic crisis makes closer collaboration between economics and other social sciences even more urgent. One major cause of divergence has been the attitudes of the parties towards the ‘market’. Yet, the market economy, in all its diversity, is one of the immutable facts of modern life. Understanding the causes of its survival will improve the dialogue. Another interesting puzzle is the lack of credible alternatives to it despite the depth of the crisis. The experience of the economists in (...) constructing models of society based on the behaviour of individuals composing it can be valuable for other social sciences. We apply the framework developed by ‘institutional economics’ to gain insights into the relations between Islam, capitalism and democracy. The article finishes with some observations on Turkey and draws lessons for other Muslim societies. (shrink)

This ambitious work reclassifies and restructures the history of ideas and the philosophy of culture through a wide-ranging and novel use of the idea of the organon. It does so by radically revising standard interpretations and theories of all branches of philosophy, and by providing an intellectual and philosophical foundation for the new organon of the cultural sciences. The seeded idea that saw its growth in the form of this book is the unshakable conviction that the only way by which (...) a new apparatus of philosophy, an organon, could be created is by harking back to the vast sources of imagination, inspiration and mimesis. This study is based on the notion that metaphysics, insofar as it is concerned with the world in its entirety and with human being's existence and thought, should provide the foundation for the organon of cultural sciences, based on symbolic forms. Given that the colossal amount of information and knowledge of philosophy, arts, humanities, logic, mathematics, social sciences and natural sciences cannot be comprised, analyzed and comprehended per se, it is the organon's objective to extract the main principles, ideas, postulates, theorems and theories of the cultural sciences, and, subsequently, to shape and restructure them as symbolic forms. Since all these principles are grounded on Becoming - which is not a stable or fixed entity such as Being, substance or thing - the symbolic forms preserve and change, elevate and further the organon of the cultural sciences, via a critical-dialectical process. (shrink)

This book seeks to read the political thought of classic thinkers of the liberal tradition in the context of their metaphysical and theological writings. Sokolowski demonstrates that the political measures offered by political theorists to remedy the state of unrest and instability are intrinsically connected to their metaphysical conception of order, the self, and the interaction between the two.

Recently, some contradictory statements have been made concerning whether or not the Buddha taught free will. Here, a comparative method is used to examine what exactly is meant by free will, and to determine to what extent this meaning is applicable to early Buddhist thought as recorded in the Pāli Nikāyas. The comparative method reveals parallels between contemporary criticisms of Cartesian philosophy and Buddhist criticisms of Brahmanical and Jain doctrines. Although in Cartesian terms Buddhism promotes no recognizable theory of free (...) will, it does promote a primitive theory of compatibilism which shares some keyfeatures with Daniel Dennett's position on this issue. It is argued that the implicit Buddhist stance on freedom of the will allows the existence of choice and responsibility without calling upon an ultimate controlling agency that transcends the causal nexus of mind and body. (shrink)

Recently, some contradictory statements have been made concerning whether or not the Buddha taught free will. Here, a comparative method is used to examine what exactly is meant by free will, and to determine to what extent this meaning is applicable to early Buddhist thought as recorded in the Pāli Nikāyas. The comparative method reveals parallels between contemporary criticisms of Cartesian philosophy and Buddhist criticisms of Brahmanical and Jain doctrines. Although in Cartesian terms Buddhism promotes no recognizable theory of free (...) will, it does promote a primitive theory of compatibilism which shares some keyfeatures with Daniel Dennett's position on this issue. It is argued that the implicit Buddhist stance on freedom of the will allows the existence of choice and responsibility without calling upon an ultimate controlling agency that transcends the causal nexus of mind and body. (shrink)

Im 2009 erschienenen Buch "Philosophie des Leidens" versucht Boris Wandruszka, jene immanente Lebensstruktur und Lebensdynamik aufzudecken, die zu den einfachsten und fundamentalen Strukturmomenten des Leidens vorstosst; diese erste "Wissenschaft vom Leiden" transzendierte daher nicht die Grenzen der Anschaubarkeit, sondern verblieb in der "Immanenz des 'inneren Lebens' bzw. des Erlebens". Im aktuellen Buch "Metaphysik des Leidens" werden die "realen Bedingungen der Moglichkeit von Leiden" ermittelt: Wie muss eine Welt beschaffen sein, damit darin ein leidendes Wesen erscheinen konne? Welche Rolle hat (...) das Leiden in Bezug zum fundamentalen Widerfahrnis-, Resonanz- und Responsivitatscharakter des Lebens? Es wird gezeigt, dass menschliches Leben, das einer plural-agonalen Welt ausgesetzt ist, nicht leidfrei moglich ist, dass aber andererseits das Leid nicht das letzte Wort sein kann, sondern notwendig auf Ganzheit, Reifung, Erlosung und Harmonie bezogen ist. Nur auf dem Hintergrund der Spannung zwischen absoluter Seins-, Sinn- und Lebensfulle und der stets problematischen und fragilen Teilhabe von Menschen am "absoluten und leiduberwindenden Urleben" kann Leiden entstehen, durchlitten, verstanden, aber auch uberwunden werden. Hier erreicht der "Opfergedanke", in dem das unvermeidliche Leid frei angenommen und dadurch transformiert wird, seine reinste und hochste Ausformung. Erst nach Klarung dieser Verhaltnisse wird die "Theodizeefrage" als "das Problem der Probleme" angegangen und am Leitfaden der Hiob-Erzahlung diskutiert. Letztlich erweist sich, dass trotz allem Schmerz, Mangel, Unrecht und Unsinn ein "Potential des Unendlichen" im Leiden verborgen liegt, das auf seine Uberwindung durch Sein-, Sinn- und Werterfullung, durch Tat, Erkenntnis und Liebe verweist und dass diese drei "Machte" der Leidensherausforderung bedurfen, um ihre Weite, Tiefe und Hohe auszuloten. (shrink)

Herman Levin Goldschmidt delineates and critiques four types of “dialogism,” four ways of derailing dialogical discourse and praxis. In the following, I examine two of them: “Pan-dialogism” is the glossing over the effect of power differentials such as gender, class, and race as relevant factors in the constitution of dialogue. “Pluralogic” is the evading of true dialogue, which is intense and exclusive, by conducting simultaneously multiple superficial conversations. Pluralogic enables to escape the internal turmoil and conscience’s call for critiquing that (...) are part and parcel of true dialogue. To examine the two dialogisms, I use Martin Buber’s thought, which Goldschmidt sees himself as continuing, as a case in point as well as a resource to further unpack Goldschmidt’s thought. In the course of the paper, I criticize what I call “Human Resource Office Morality,” the celebration of mere diversity at the expense of true contradiction. (shrink)

We construct a model [Formula: see text] of [Formula: see text] which lies between [Formula: see text] and [Formula: see text] for a Cohen real [Formula: see text] and does not have the form [Formula: see text] for any set [Formula: see text]. This is loosely based on the unwritten work done in a Bristol workshop about Woodin’s HOD Conjecture in 2011. The construction given here allows for a finer analysis of the needed assumptions on the ground models, thus taking (...) us one step closer to understanding models of [Formula: see text], and the HOD Conjecture and its relatives. This model also provides a positive answer to a question of Grigorieff about intermediate models of [Formula: see text], and we use it to show the failure of Kinna–Wagner Principles in [Formula: see text]. (shrink)

This paper corrects a pervasive mistake in readings of Buber’s iconic trope, “I-Thou” (Ich-Du; hereafter, I-You). The mistake lies in considering it synonymous to the principal concept of his dialogical thought, “relation” (Beziehung). A detailed reading of relevant passages in Buber’s I and Thou (hereafter, IAT) reveals their difference: While both “relation” and “I-You” refer to the same reality—to the dialogic moment—they do so with a different focus and scope: “Relation” refers to the dialogic moment in its bilateral entirety. However, (...) “primary word I-You” (hereafter, PWIY)—the phrase in which the I-You trope in fact appears in IAT—focuses on the active share of only one of the two interlocutors in the dialogic moment. While PWIY does refer to the dialogical moment (which is indeed bilateral), it denotes only a partial aspect of the dialogical moment. It focuses exclusively on my active turning toward you and defocuses your concurrent turning toward me (which, no doubt, is present as well). This mistake, I show, is due to interpreters’ enthusiastic endorsement of Buber’s later phrase, the “I-You relation,” which is indeed synonymous with “relation.” It is then easy to read back the “I-You relation” into the earlier, more focused concept of PWIY. Furthermore, this enthusiasm has blinded readers from realizing that, following IAT, Buber in fact abandoned the I-You trope and used it only reluctantly, mainly when addressing his interpreters who used it themselves, or when discussing IAT where it indeed appeared. (shrink)

The Buddhist concept of skillful means , as introduced inMahāyāna sūtras, exposes a new awareness of the gap between text and meaning. Although the term is sometimes taken to point to the Buddha's pedagogical skills, this interpretation ignores the provocative use of the term in Mahāyāna texts. Treating skillful means as a universal Buddhist concept also fails to explain why and for what purpose it first became predominant in the Mahāyāna. Looking at the use of skillful means in the Lotus (...) Sūtra and in the Skill in Means Sūtra reveals a hermeneutic device aimed at criticizing an existing corpus of Buddhist literature. As such, skillful means is used to demonstrate that the old doctrine and the life of the Buddha contained fictitious features and were nothing but skillful means. This indicates a growing awareness of a gap between literal expressions and their hidden meaning that can only arise after some kind of religious corpus has been established. (shrink)

The Buddhist concept of skillful means, as introduced in Mahay ana sutras, exposes a new awareness of the gap between text and meaning. Although the term is sometimes taken to point to the Buddha's pedagogical skills, this interpretation ignores the provocative use of the term in Mahayana texts. Treating skillful means as a universal Buddhist concept also fails to explain why and for what purpose it first became predominant in the Mahayana. Looking at the use of skillful means in the (...) Lotus Sutra and in the Skill in Means Sutra reveals a hermeneutic device aimed at criticizing an existing corpus of Buddhist literature. As such, skillful means is used to demonstrate that the old doctrine and the life of the Buddha contained fictitious features and were nothing but skillful means. This indicates a growing awareness of a gap between literal expressions and their hidden meaning that can only arise after some kind of religious corpus has been established. (shrink)

ArgumentIn this article I describe the establishment and early development of an institution that is unique to the history of Chinese medicine – the Imperial Pharmacy. Established in 1076 during the great reforms of the Song dynasty, the Imperial Pharmacy was a remarkable institution that played different political, social, economic, and medical roles over the years of its existence. Initially it was an economic institution designed to curb the power of plutocrats who were manipulating medicinal drug markets in their favor. (...) A few decades later, I claim, the Imperial Pharmacy became a public-health-oriented institution focusing on selling readymade prescriptions in addition to simples. Various records, including local gazetteers and local maps, indicate that the Imperial Pharmacy expanded about a century after it was established to include dozens of branches throughout the empire. The Pharmacy's impact on the practices of physicians during these years is somewhat vague. It seems, however, to have posed an unwelcome addition to the medical scene, since it enabled uninitiated practitioners who relied on the Pharmacy's formulary to fit patients' symptoms to their own prescriptions and dispense medications with relative ease. (shrink)

This book is an annotated translation of Xu Shuwei’s collection of 90 medical case records – Ninety Discussions of Cold Damage Disorders – which was the first such collection in China. The translation reveals patterns of social as well as medical history. This book provides the readers with a distinctive first hand perspective on twelfth-century medical practice, including medical aspects, such as nosology, diagnosis, treatment, and doctrinal reasoning supporting them. It also presents the social aspect of medical practice, detailing the (...) various participants in the medical encounter, their role, the power relations within the encounter, and the location where the encounter occurred. Reading the translation of Xu’s cases allows the readers high-resolution snapshots of medicine and medical practice as reflected from the case records documented by this leading twelfth-century physician. The detailed introduction to the translation contextualizes Xu’s life and medical practice in the broader changes of this transformative era. (shrink)

In this handbook, I put into practice my philosophical views on children's mathematics. The handbook contains brief instructions and examples of mathematical activities. In the INSTRUCTIONS section, instructions are given on how, and in part why that way, to help preschool children in their mathematical development. In the ACTIVITIES section, there are examples of activities through which the child develops her mathematical abilities.

The purpose of the present study was to evaluate the effectiveness of a physical activity intervention program designed to enhance levels of engagement in PA. Despite robust evidence supporting the beneficial effects of PA on overall health, only about 22% of individuals engage in the recommended minimum amount of PA. Recent surveys suggested that most individuals express intentions to be physically active, though the psychological state of amotivation dismissed these struggles. In the current study, we pilot-tested a new intervention program, (...) aimed at enhancing engagement in PA among sedentary individuals. The intervention was based on two behavioral change and motivational psychological frameworks: Self-Determination Theory and Acceptance and Commitment Therapy. During a 14-week intervention program, 94 sedentary Israeli college students were randomly assigned into one of three groups: SDT and ACT-based intervention, traditional intervention, and a non-treatment group. Prior to and following the intervention, participants completed the Behavioral Regulation in Exercise Questionnaire-3 to examine motivation to exercise and the International Physical Activity Measurement IPAQ to evaluate their training frequency. Results showed that the SDT and ACT-based intervention group exhibited a significant increase in motivation to exercise between time 1 and time 2, while the other two groups showed insignificant differences in motivation to exercise. Furthermore, neither of the groups showed significant differences in their training frequency per week. However, those in the SDT and ACT-based groups reported an increase in activity intensity from time 1 to time 2 compared to the two other groups. Further, exercise psychology consultants and scholars can use the intervention protocol and utilize these findings to improve PA behaviors and promote health in the general population. Limitations, future directions, and implications are discussed in detail. (shrink)

With less than 0# two generic extensions ofL are identified: one in which ${\aleph_1}$ , and the other ${\aleph_2}$ , is almost precipitous. This improves the consistency strength upper bound of almost precipitousness obtained in Gitik M, Magidor M (On partialy wellfounded generic ultrapowers, in Pillars of Computer Science, 2010), and answers some questions raised there. Also, main results of Gitik (On normal precipitous ideals, 2010), are generalized—assumptions on precipitousness are replaced by those on ∞-semi precipitousness. As an application it (...) is shown that if δ is a Woodin cardinal and there is an ${f:\omega_1 \to \omega_1}$ with ${\|f\|=\omega_2}$ , then after ${Col(\aleph_2,\delta)}$ there is a normal precipitous ideal over ${\aleph_1}$ . The existence of a pseudo-precipitous ideal over a successor cardinal is shown to give an inner model with a strong cardinal. (shrink)

J. L. Krivine developed a new method based on realizability to construct models of set theory where the axiom of choice fails. We attempt to recreate his results in classical settings, i.e., symmetric extensions. We also provide a new condition for preserving well ordered, and other particular type of choice, in the general settings of symmetric extensions.

Boris Kment takes a new approach to the study of modality that emphasises the origin of modal notions in everyday thought. He argues that the concepts of necessity and possibility originate in counterfactual reasoning, which allows us to investigate explanatory connections. Contrary to accepted views, explanation is more fundamental than modality.

Autorova je namjera da u ovom članku tematizira Augustinovu kritiku rimskih vrlina slijedeći uvide iz njegovog voluminoznog teksta O državi Božjoj. Augustinove uvide i zaključke o praksama Imperija povezat ću s kritikom Hardtovog i Negrijevog tumačenja globalnog neo-republikanskog Imperija. U oba slučaja vrline Imperija kulminiraju u različitim oblicima terora kojima je jedini cilj povećanje kapitala. Promišljajući o kapitalu i teroru kao o imperijalnim, autor će ponuditi teološku kritiku ta dva teksta. Pri kraju članka, autor će pokušati konstruirati stanovitu teo-političku sintezu (...) koja bi ponudila modele otpora vrlinama Imperija. Takav model otpora Imperijalnim praksama nužno mora sadržavati militantne oblike askeze.Author’s intention in this article is to reflect about St. Augustine critics of Roman virtues in fifth book of his voluminous text City of God. Augustine’s insights and conclusions on Imperial practice author will connect with specific critics of Hardt’s and Negri’s interpretations of global neo-republican Empire. In both cases virtues of Empire culminate in different form of terror with one intention to produce and expend more capital. Once again author will reflect on imperial virtues and offer theological critique of these two texts. At the end of the article author will construct specific theopolitical synthesis and model of resistance to Empire. This resistance to imperial practices necessarily must content militant forms of ascetics. (shrink)

A recurrent issue in linguistic theory and psychology concerns the cognitive status of memorized lists and their internal structure. In morphological theory, the collections of inflected forms of a given noun, verb, or adjective into inflectional paradigms are thought to constitute one such type of list. This book focuses on the question of which elements in a paradigm can stand in a relation of partial or total phonological identity. Leading scholars consider inflectional identity from a variety of theoretical perspectives, with (...) an emphasis on both case studies and predictive theories of where syncretism and other "paradigmatic pressures" will occur in natural language. The authors consider phenomena such as allomorphy and syncretism while exploring questions of underlying representations, the formal properties of markedness, and the featural representation of conjugation and declension classes. They do so from the perspective of contemporary theories of morphology and phonology, including Distributed Morphology and Optimality Theory, and in the context of a wide range of languages, among them Amharic, Greek, Romanian, Russian, Saami, and Yiddish. The subjects addressed in the book include the role of featural decomposition of morphosyntactic features, the status of paradigms as the unit of syncretism, asymmetric effects in identity-dependence, and the selection of a base-of-derivation. The Bases of Inflectional Identity will interest linguists and cognitive scientists, especially students and scholars of phonological theory and the phonology-morphology and mind-language interfaces at graduate level and above. (shrink)

This paper analyzes the historical context and systematic importance of Kant's hypothetical use of reason. It does so by investigating the role of hypotheses in Kant's philosophy of science. We first situate Kant’s account of hypotheses in the context of eighteenth-century German philosophy of science, focusing on the works of Wolff, Meier, and Crusius. We contrast different conceptions of hypotheses of these authors and elucidate the different theories of probability informing them. We then adopt a more systematic perspective to discuss (...) Kant's idea that scientific hypotheses must articulate real possibilities. We argue that Kant's views on the intelligibility of scientific hypotheses constitute a valuable perspective on scientific understanding and the constraints it imposes on scientific rationality. (shrink)

My paper sets out to demonstrate that Weber's ideal-typical theory of concept formation, subject to certain modifications, is compatible with the principles of philosophical hermeneutics and is therefore a valuable strategy of concept formation for interpretive historical inquiry. The essay begins with a brief recapitulation of the philosophical-hermeneutic approach to the human sciences. I then chart out the affinities as well as the discrepancies between philosophical hermeneutics and Weber's theory of the ideal type. Against this backdrop, I proceed to offer (...) a number of correctives and additions to Weber's theory so as to tighten its fit with philosophical hermeneutics. First, I argue that the ideal type's proper logic of concept formation is a logic of significance rather than a logic of commonality. Second, I claim that the relationship between the various empirical cases to which a given ideal type is (or can be) applied is a Wittgensteinian relationship of family resemblance. Finally, I present two main kinds of epistemological functions that ideal types can fulfill within the framework of historical inquiry: argumentative and orientational-clarificatory. (shrink)

In the mid-1890s, the left-leaning Christian socialist Friedrich Naumann was the first German public figure to develop national socialism as a systematic world view. Under the influence of Max Weber, Naumann abandoned his Christian-ethical conception of social reform in favour of a national existentialism that overrides any ethical imperative; and he abandoned the pre-modern, Christian foundations of his productivism in favour of modern and nationalist foundations. The outcome was a national socialism underpinned by the synthesis of national existentialism and national (...) productivism; a form of socialism driven by a concern for national order rather than by a vision of social justice or emancipation. This interpretation makes it difficult to maintain a clear demarcation of Naumann's national socialism from its right-wing counterparts and to retain Naumann's image as a progressive reformer. (shrink)

This article demonstrates the existence of a national socialism in Germany long before the founding of the Nazi movement, and not just in the dark recesses of racial antisemitism but at the very heart of German bourgeois society. The article focuses on two major cases of pre-Nazi national socialism: left-leaning bourgeois reformist Friedrich Naumann; and the ideology supporting Germany's war effort from 1914 to 1918, a phenomenon also known as the 'ideas of 1914'. National socialism in both these cases rested (...) at its core on a national existentialism: a conviction that Germany is facing a struggle for its very existence as a nation, and that all domestic socioeconomic forces must be systematically regimented andmobilized in the service of the nation's purportedly 'existential' struggles. National socialism emerges from this article. (shrink)

I propose a general alethic theory of epistemic risk according to which the riskiness of an agent’s credence function encodes her relative sensitivity to different types of graded error. After motivating and mathematically developing this approach, I show that the epistemic risk function is a scaled reflection of expected inaccuracy. This duality between risk and information enables us to explore the relationship between attitudes to epistemic risk, the choice of scoring rules in epistemic utility theory, and the selection of priors (...) in Bayesian epistemology more generally. (shrink)

In this paper we investigate some properties of forcing which can be considered “nice” in the context of singularizing regular cardinals to have an uncountable cofinality. We show that such forcing which changes cofinality of a regular cardinal, cannot be too nice and must cause some “damage” to the structure of cardinals and stationary sets. As a consequence there is no analogue to the Prikry forcing, in terms of “nice” properties, when changing cofinalities to be uncountable.

We further investigate a divisibility relation on the set of BN ultrafilters on the set of natural numbers. We single out prime ultrafilters (divisible only by 1 and themselves) and establish a hierarchy in which a position of every ultrafilter depends on the set of prime ultrafilters it is divisible by. We also construct ultrafilters with many immediate successors in this hierarchy and find positions of products of ultrafilters.

Analysing several characteristic mathematical models: natural and real numbers, Euclidean geometry, group theory, and set theory, I argue that a mathematical model in its final form is a junction of a set of axioms and an internal partial interpretation of the corresponding language. It follows from the analysis that (i) mathematical objects do not exist in the external world: they are our internally imagined objects, some of which, at least approximately, we can realize or represent; (ii) mathematical truths are not (...) truths about the external world but specifications (formulations) of mathematical conceptions; (iii) mathematics is first and foremost our imagined tool by which, with certain assumptions about its applicability, we explore nature and synthesize our rational cognition of it. (shrink)

While there are satisfactory answers to the question “How should we teach children mathematics?”, there are no satisfactory answers to the question “What mathematics should we teach children?”. This paper provides an answer to the last question for preschool children (early childhood), although the answer is also applicable to older children. This answer, together with an appropriate methodology on how to teach mathematics, gives a clear conception of the place of mathematics in the children’s world and our role in helping (...) children develop their mathematical abilities. Briefly, children’s mathematics consists of the world of children’s internal activities that they eventually purposefully organize in order to understand and control the outside world and organize their overall activities in it. We need to support a child in mathematical activities that she does spontaneously and in which she shows interest, and we need to teach her mathematics that she is interested in developing through these activities. In doing so, we must be fully aware that the child’s mathematics is part of the child’s world of internal activities and is not outside of it. We help the child develop mathematical abilities by developing them in the context of her world and not outside of it. From the point of view of this conception, the standards established today are limiting and too focused on numbers and geometric figures: these topics are too prominent and elaborated, and other mathematical contents are subordinated to them. Adhering to the standards, we drastically limit the mathematics of the child’s world, hamper the correct mathematical development of a child, and we can turn her away from mathematics. (shrink)