This is a short overview of Plato’s “greatest thing to be learned” or the “greatest lesson” (megiston mathêma) – the Idea of the Good.

Sustaining soil fertility is essential to the prosperity of many households in the mid-hills of Nepal, but there are concerns that the breakdown of the traditional linkages between forest, livestock, and cropping systems is adversely affecting fertility. This study used triangulated data from surveys of households, discussion groups, and key informants in 16 wards in eastern and western Nepal to determine the existing practices for soil fertility management, the extent of such practices, and the perception of the direction of changes (...) in soil fertility. The two principal practices for maintaining soil fertility were the application of farmyard manure (FYM) and of chemical fertilizer (mainly urea and diammonium phosphate). Green manuring, in-situ manuring, slicing terrace risers, and burning plant residues are rarely practiced. FYM usage was variable with more generally applied to khet land (average 6053 kg fresh weight manure ha−1) than to bari land (average 4185 kg fresh weight manure ha−1) with manure from goats and poultry preferred above that from cows and buffaloes. Almost all households (98%) apply urea to khet land and 87% to bari land, with 45% applying diammonium phosphate to both types of land. Application rates and timings of applications varied considerably both within and between wards suggesting poor knowledge transfer between the research and farming communities. The benefits of chemical fertilizers in terms of ease of application and transportation in comparison with FYM, were perceived to outweigh the widely reported detrimental hardening of soil associated with their continued usage. Among key informants, FYM applied in conjunction with chemical fertilizer was the most popular amendment, with FYM alone preferred more than chemical fertilizer alone – probably because of the latter’s long-term detrimental effects. Key informant and householder surveys differed in their perception of fertility changes in the last decade probably because of differences in age and site-specific knowledge. All key informants felt that fertility had declined but among households, only about 40% perceived a decline with the remainder about evenly divided between no change and an increase. Householders with small landholdings (< 0.5 ha) were more likely to perceive increasing soil fertility while those with larger landholdings (> 2 ha) were more likely to perceive declining fertility. Perceived changes in soil fertility were not related to food self-sufficiency. The reasons for the slow spread of new technologies within wards and the poor understanding of optimal use of chemical fertilizers in conjunction with improved quality FYM may repay further investigation in terms of sustaining soil fertility in this region. (shrink)

Among the instances of apparent illiberality in Plato's Republic, one stands out as especially curious. Long before making a forced return to the cave, and irrespective of the kinds of compulsion operative in such a homecoming, the philosopher-king has been compelled to apprehend the Good (Rep. VII.519c5-d2, 540a3-7). Why should compulsion be necessary or appropriate in this situation? Schooled intensively through the decades for an eventual grasping of the Good, beginning already with precognitive training in music and art calculated to (...) equip the guardian with a natural affinity towards the good and beautiful (Rep. III.401d3-402a4), the fully mature guardian might be expected to leap towards the Good when it is first opportune. For the Good is, according to Plato, the greatest thing to be learned (megiston mathêma; Rep. VI.504e4-5, 505a2). Reflection on these questions permits us to develop a richer appreciation of the forms of necessitation and compulsion Plato envisages for his guardians, which turn out to be primarily merely hypothetical instances of nomic necessitation. It follows that many of Plato's appeals to compulsion are neither coercive nor objectionably authoritarian. (shrink)

Nietzsche diagnosed a tendency for self-destruction within the Enlightenment movement. According to him, in giving up the idea of God, the idea of non-perspective truth, that is the faith in reason, falls victim to it. Wittgenstein und Jaspers reflected upon the characteristics of this faith in reason, which starts where scientific knowledge ends, respectively, where it becomes aware of its hypothetical status. Plato reserved the term of “knowing” for this relation of a presuppositionless conceptually inexplicable “megiston mathema”. In Jaspers′s (...) concept of a philosophical faith not based on revelation, both elements of the platonic knowing of the “good itself” can be found: the greatness of the matter, transcending everything being the case, and the intensity of being really touched. Yet with regard to philosophical radicalness, the explanatory function of the “absolute knowing” for each kind of truth seems to exceed the faith of Jaspers. (shrink)

This is a revised short overview of Plato’s “greatest thing to be learned” or the “greatest lesson” (megiston mathêma) – the Idea of the Good.

This is a revised short overview of Plato’s “greatest thing to be learned” or the “greatest lesson” (megiston mathêma) – the Idea of the Good.

We suggest a certain minimal approach to the historical Socrates on the basis of Plato’s Apology. This text makes it possible to reconstruct the authentic charge and the defense line of Socrates, as well as his motivation and the quintessence of his philosophical challenge. The most important thing is what the philosopher says in the face of his death sentence: that the greatest good for a man is to live an examined life focusing on virtues and ethical values. Unfortunately, the (...) preponderance of studies, even the most recent ones, fail to recognize the philosopher’s provocative challenge, whilst it is not only a crucial motif in the Socratic examining, i.e. testing the interlocutors’ knowledge by means of irony, elenchos and aporia, but also an inspiration for his direct and indirect followers in seeking virtues and the greatest good. (shrink)

In the mid 30s of the 20th century Martin Heidegger attempted to explain the “history of Being” leading to what he called “the oblivion of Being”. In this he focused on the impact of the modern science, which he grants to be a sort of metaphysics. According to Heidegger, the main feature of the modern science consists in what he calls the mathéma-character. The Greek word “to mathéma” means “it what can be learned” and “what must be know beforehand”. It (...) is Heidegger’s intention to show that the mathéma-character of the modern science is deciding about the general understanding of the meaning of “being” and that modern science is replacing the metaphysics, which is the origin of the modern science. (shrink)

This paper addresses the modern crisis of the philosophical project that conceived of literature as mathesis universalis. In the digital universe, literature maintains its relationship with truth, which is no longer considered as transcending the process of knowing, but as given in unity with it. The new statute of the text is captured well by Carlo Sini’s idea of “foglio-mondo” (“world-page”). Sini suggests that the desacralized text is not situated “outside” of truth; it does not become, as happens in many (...) postmodern thinkers, play, deceit, and gratuitous narration. Rather, “foglio-mondo” is the text freed from the tutelage of transcendental truth to become an “event” of truth. Questo intervento affronta il problema della crisi moderna del progetto filosofico della letteratura come mathesis universalis. Nell'universo digitale la letteratura mantiene il suo rapporto con la verità che non viene più considerata trascendente il processo della conoscenza, ma data in unità ad esso. Il nuovo statuto del testo è bene indicato dall'espressione di Carlo Sini “foglio-mondo." Il testo desacralizzato non viene a situarsi per Sini “fuori” dalla verità, non diventa, come in tanti pensatori postmoderni, gioco, menzogna, narrazione gratuita. Il “foglio-mondo” è piuttosto il testo che si è liberato dalla tutela della verità trascendente per diventare “evento” di verità. (shrink)

Resumen: El objetivo del presente trabajo es acercarnos no ya en clave epistemológica a la pregunta específica que se realiza respecto de la teoría literaria, sino por el contrario, a la pregunta mediada por la idea de verdad que la filosofía le ha hecho a la literatura. Creemos que en los textos de Platón existe una intuición fundamental que de manera implícita ha puesto en marcha múltiples aparatos teóricos que intentaron dar cuenta de la literatura. La intuición, sin dilaciones, es (...) la siguiente: la poesía no es matemática. Nuestro interés entonces es reconocer las periferias del diálogo inaugurado por Platón entre el concepto de verdad y la idea de literatura, como así también sus recíprocas determinaciones, y su pregnancia en los discursos que han abordado a la literatura en clave teórica.: In the present work the objective is not only to approach in an epistemological key to the specific question asked by literary theory but rather the question, mediated by the idea of truth, that philosophy has done to literature. We believe that in Plato's texts there is a fundamental intuition that implicitly has set in motion multiple theoretical devices that tried to account for literature. The intuition, without delay, is the following: poetry is not mathematical. Our interest then is to recognize the peripheries of the dialogue inaugurated by Plato between the concept of truth and the idea of literature, as well as their reciprocal determinations, and their pregnancy in the discourses that have addressed literature in a theoretical key. (shrink)

This article canvasses five senses in which one might introduce an historical element into the philosophy of mathematics: 1. The temporal dimension of logic; 2. Explanatory Appeal to Context rather than to General Principles; 3. Heraclitean Flux; 4. All history is the History of Thought; and 5. History is Non-Judgmental. It concludes by adapting Bernard Williams’ distinction between ‘history of philosophy’ and ‘history of ideas’ to argue that the philosophy of mathematics is unavoidably historical, but need not and must not (...) merge with historiography. (shrink)

In sentences like Every teacher laughed we think of every teacher as a unary (=type (1)) quantifier - it expresses a property of one place predicate denotations. In variable binding terms, unary quantifiers bind one variable. Two applications of unary quantifiers, as in the interpretation of No student likes every teacher, determine a binary (= type (2)) quantifier; they express properties of two place predicate denotations. In variable binding terms they bind two variables. We call a binary quantifier Fregean (or (...) reducible) if it can in principle be expressed by the iterated application of unary quantifiers. In this paper we present two mathematical properties which distinguish non-Fregean quantifiers from Fregean ones. Our results extend those of van Benthem (1989) and Keenan (1987a). We use them to show that English presents a large variety of non-Fregean quantifi ers. Some are new here, others are familiar (though the proofs that they are non-Fregean are not). The main point of our empirical work is to inform us regarding the types of quantification natural language presents - in particular (van Benthem, 1989) that it goes beyond the usual (Fregean) analysis which treats it as mere iterated application of unary quantifiers. Secondarily, our results challenge linguistic approaches to "Logical Form" which constrain variable binding operators to "locally" bind just one occurrence of a variable, e.g., the Bijection Principle (BP) of Koopman and Sportiche (1983). The BP (correctly) blocks analyses like For which x, x's mother kissed x? for Who did his mother kiss? since For which x would locally bind two occurrences of x. But some of our irreducible binary quantifiers are naturally represented by operators which do locally bind two variables. This paper is organized as follows: Section 1 provides an explicit formulation of our questions of concern. Section 2 classifies the English constructions which we show to be non-Fregean. Section 3 presents the mathematical properties which test for non-Fregean quantification and applies these tests to the constructions in Section 2. Proofs of the mathema tical properties are given in the Appendix. (shrink)

Le déficit d’explicabilité des techniques d’apprentissage machine (AM) pose des problèmes opérationnels, juridiques et éthiques. Un des principaux objectifs de notre projet est de fournir des explications éthiques des sorties générées par une application fondée sur de l’AM, considérée comme une boîte noire. La première étape de ce projet, présentée dans cet article, consiste à montrer que la validation de ces boîtes noires diffère épistémologiquement de celle mise en place dans le cadre d’une modélisation mathéma- tique et causale d’un phénomène (...) physique. La différence majeure est qu’une méthode d’AM ne prétend pas représenter une causalité entre les paramètres d’entrées et ceux de sortie. Après avoir proposé une clarification et une adaptation des notions d’inter- prétabilité et d’explicabilité telles qu’on les rencontre dans la littérature déjà abondante sur le sujet, nous montrons dans cet article l’intérêt de mettre en œuvre les distinctions épistémologiques entre les différentes fonctions épistémiques d’un modèle, d’une part, et entre la fonction épistémique et l’usage d’un modèle, d’autre part. Enfin, la dernière partie de cet article présente nos travaux en cours sur l’évaluation d’une explication, qui peut être plus persuasive qu’informative, ce qui peut ainsi causer des problèmes d’ordre éthique. (shrink)

This present collection of (translations of) reviews is intended to help obtain a more balanced picture of the reception and impact of Edmund Husserl’s first book, the 1891 Philosophy of Arithmetic. One of the insights to be gained from this non-exhaustive collection of reviews is that the Philosophy of Arithmetic had a much more widespread reception than hitherto assumed: in the present collection alone there already are fourteen, all published between 1891 and 1895. Three of the reviews appeared in mathematical (...) journals (Jahrbuch über die Fortschritte der Mathematik, Zeitschrift für Mathematik und Physik, and Zeitschrift für mathema- tischen und naturwissenschaftlichen Unterricht), three were published in English journals (The Philosophical Review, The Monist, Mind), two were written by other members of the School of Brentano (Franz Hillebrand and Alois Höfler). Some of the reviews and notices appear to be very superficial, consisting merely of para- phrases (often without references) and lists of topics taken from the table of con- tents, presenting barely acceptable summaries. Others, among which Höfler might be the most significant, engage much more deeply with the topics and problems that Husserl addresses, analyzing his approach in the context of the mathematics of his time and the School of Brentano. (shrink)

The paper deals with some major themes in early Cassirer’s philosophy of mathema- tics. It appears, that the basis of his thinking about mathematical objects and mathematical concept formation is his Neo-Kantian idealistic theory of concepts which he developed in opposition to what is called the „traditional theory of concepts“ going back to Aristotle. Cassirer often seeks to confirm his philo- sophical insights concerning mathematics by the interpretations the works of significant mathematicians. Therefore, the second part of the paper deals (...) with Cassirer’s attempt to find such a confirmation in famous Dedekind’s theory of natural numbers. Cassirer’s philosophical attitude to Dedekind’s theory is compared with that of Russell. The author raises the sceptical question of whether Cassirer’s view of mathematics – as developed in his early period – could be a sufficient or at least plausible basis for solving philosophical problems of the foundations of mathematics of that time. (shrink)

Heidegger: Bibliography of addresses and courses he took and taught: German and English / By Daniel Fidel Ferrer. Copyright ©Daniel Fidel Ferrer, 2022. All rights reserved. Copyright materials. Request permission for use from Daniel Fidel Ferrer. Attribution-NonCommercial-NoDerivs. CC BY-NC-ND. Imprint 1.0. March 2022. Pages 1-49. -/- 1. Heidegger, Martin, -- 1889-1976. 2. Heidegger, Martin, -- 1889-1976 -- Indexes. 4). Metaphysics. 5). Philosophy, German. 6). Philosophy, German – Greek influences. 7). Ontology. I. Ferrer, Daniel Fidel, 1952-. Language: English (Preface and Introduction). (...) Includes many bibliographical references in German and English. Bibliography some of the standalone address (es) – Vortrag. -/- Table of Contents Motto (page 3) Introduction (pages 4-6) Heidegger about the nature of Teaching (pages 7-8) Some general examples about Heidegger’s courses (The Tour) (pages 9-10). Bibliography Master List (pages 11-14) Martin Heidegger Courses taken and teachers (pages 15-25) Other Heidegger documents (pages 26-27) Martin Heidegger Sound Recordings (pages 28-29) After GA 102. “Megiston" and "Grundworte” (pages 30) Heidegger Addresses --- Vorträge (pages 31-47) End quotes (pages 48-49) -/- . (shrink)