Biological evolution is a complex blend of ever changing structural stability, variability and emergence of new phe- notypes, niches, ecosystems. We wish to argue that the evo- lution of life marks the end of a physics world view of law entailed dynamics. Our considerations depend upon dis- cussing the variability of the very ”contexts of life”: the in- teractions between organisms, biological niches and ecosys- tems. These are ever changing, intrinsically indeterminate and even unprestatable: we do not know ahead of (...) time the ”niches” which constitute the boundary conditions on selec- tion. More generally, by the mathematical unprestatability of the ”phase space”, no laws of mo- tion can be formulated for evolution. We call this radical emergence, from life to life. The purpose of this paper is the integration of variation and diversity in a sound concep- tual frame and situate unpredictability at a novel theoretical level, that of the very phase space. Our argument will be carried on in close comparisons with physics and the mathematical constructions of phase spaces in that discipline. The role of symmetries as invariant preserving transformations will allow us to under- stand the nature of physical phase spaces and to stress the differences required for a sound biological theoretizing. In this frame, we discuss the novel notion of ”enablement”. Life lives in a web of enablement and radical emergence. This will restrict causal analyses to differential cases. Mutations or other causal differ- ences will allow us to stress that ”non conservation princi- ples” are at the core of evolution, in contrast to physical dynamics, largely based on conservation principles as sym- metries. Critical transitions, the main locus of symmetry changes in physics, will be discussed, and lead to ”extended criticality” as a conceptual frame for a better understanding of the living state of matter. (shrink)

A type-structure of partial effective functionals over the natural numbers, based on a canonical enumeration of the partial recursive functions, is developed. These partial functionals, defined by a direct elementary technique, turn out to be the computable elements of the hereditary continuous partial objects; moreover, there is a commutative system of enumerations of any given type by any type below (relative numberings). By this and by results in [1] and [2], the Kleene-Kreisel countable functionals and the hereditary effective operations (HEO) (...) are easily characterized. (shrink)

How do we prove true but unprovable propositions? Gödel produced a statement whose undecidability derives from its ad hoc construction. Concrete or mathematical incompleteness results are interesting unprovable statements of formal arithmetic. We point out where exactly the unprovability lies in the ordinary ‘mathematical’ proofs of two interesting formally unprovable propositions, the Kruskal-Friedman theorem on trees and Girard's normalization theorem in type theory. Their validity is based on robust cognitive performances, which ground mathematics in our relation to space and time, (...) such as symmetries and order, or on the generality of Herbrand's notion of ‘prototype proof’. (shrink)

Auf der Insel Lesbos in einem Nymphenhain, so berichtet Longos in der praefatio zu den "Hirtengeschichten von Daphnis und Chloe," habe er ein Gemalde gesehen, "das die Geschichte einer Liebe darstellte." Nach diesem Vorbild habe er seinen Roman geschrieben, "als ein Weihgeschenk fur Eros, die Nymphen und Pan," fur alle Menschen aber als "erfreulichen Besitz..., der den Kranken heilen soll, den Trauernden trosten soll, den, der geliebt hat, suss erinnern und fur den, der die Liebe noch nicht erfahren hat, eine (...) Vorschule sein soll." Wer Logos war, wissen wir nicht, man vermutet heute, dass er um 200 n.Chr. gelebt hat. Sein kunstvoll gestalteter Roman gehort uber die Jahrhunderte hin zu den Meisterwerken erotischer Dichtkunst: In Einklang mit der Natur und den gottlichen Machten erfahren zwei junge Menschen das Erwachen und Aufbluhen ihrer Liebe.". (shrink)

Name der Zeitschrift: Nietzsche-Studien Jahrgang: 44 Heft: 1 Seiten: 597-645.

This authored monograph introduces a genuinely theoretical approach to biology. Starting point is the investigation of empirical biological scaling including their variability, which is found in the literature, e.g. allometric relationships, fractals, etc. The book then analyzes two different aspects of biological time: first, a supplementary temporal dimension to accommodate proper biological rhythms; secondly, the concepts of protension and retention as a means of local organization of time in living organisms. Moreover, the book investigates the role of symmetry in biology, (...) in view of its ubiquitous importance in physics. In relation with the notion of extended critical transitions, the book proposes that organisms and their evolution can be characterized by continued symmetry changes, which accounts for the irreducibility of their historicity and variability. The authors also introduce the concept of anti-entropy as a measure for the potential of variability, being equally understood as alterations in symmetry. By this, the book provides a mathematical account of Gould's analysis of phenotypic complexity with respect to biological evolution. The target audience primarily comprises researchers interested in new theoretical approaches to biology, from physical, biological or philosophical backgrounds, but the book may also be beneficial for graduate students who want to enter this field. (shrink)

La Vita di Filareto il Misericordioso, un testo agiografico di grande interesse storico e letterario, oggetto di riscritture e traduzioni, fu edita per la prima volta nel 1900 da Vasiliev, dal Paris. gr. 1510 (V). Nonostante la maggiore antichità del codice (X secolo), quella di V risultò in seguito una versione secondaria rispetto alla versione edita nel 1934 da Fourmy e Leroy, tratta dai codici Genuensis Urbanus 34 (G) dell'XI secolo e Paris. gr. 1608 (P) del XIV secolo, e riedita (...) ora da Lennart Rydén, recentemente scomparso. Le altre versioni dell'opera sono oggetto di uno studio, di cui è annunciata la pubblicazione, da parte di Jan Olof Rosenqvist. (shrink)

Primeiro de uma série de três artigos que visam a analisar a utilização do discurso alegórico – em sua vertente alegórica e hermenêutica – em três obras de José Saramago: Memorial do convento, Manual de pintura e caligrafia e O evangelho segundo Jesus Cristo. Neste primeiro ensaio, analisaremos os sentidos socioculturais das diferentes avaliações dos processos de leitura e interpretação ao longo da história, tendo em vista sua influência direta na constituição de dois diferentes tipos de alegorias: a retórica (...) e a hermenêutica. Para isso, voltaremos às primeiras práticas de leitura e interpretação, segundo a visão da antiguidade clássica, que subsidiam a limitação dos processos interpretativos que constituem as bases da alegoria retórica, chegando à experiência medieval, com a eclosão da multiplicidade de sentidos e a valorização dos processos interpretativos, que propiciam o surgimento de uma nova alegoria, de natureza hermenêutica. (shrink)

Este artigo visa apresentar uma taxonomia original dos argumentos mais difundidos contra o Princípio de Identidade dos Indiscerníveis ao longo da história da Filosofia, mas focando em versões defendidas no século XX e XXI; bem como uma taxonomia das respostas mais efetivas para esses argumentos usados no início do século XXI com uma breve avaliação sobre quais são as mais efetivas para cada argumento de ataque. O leitor também encontrará uma bibliografia atualizada sobre os debates envolvendo esses argumentos e (...) contra-argumentos nas seções correspondentes. Palavras-chave: identidade; indiscernibilidade; Princípio de Identidade dos Indiscerníveis; concebilidade. (shrink)

This is the first complete, one-volume English translation of the ancient Chinese text Xunzi, one of the most extensive, sophisticated, and elegant works in the tradition of Confucian thought. Through essays, poetry, dialogues, and anecdotes, the Xunzi articulates a Confucian perspective on ethics, politics, warfare, language, psychology, human nature, ritual, and music, among other topics. Aimed at general readers and students of Chinese thought, Eric Hutton’s translation makes the full text of this important work more accessible in English than ever (...) before. Named for its purported author, the Xunzi has long been neglected compared to works such as the Analects of Confucius and the Mencius. Yet interest in the Xunzi has grown in recent decades, and the text presents a much more systematic vision of the Confucian ideal than the fragmented sayings of Confucius and Mencius. In one famous, explicit contrast to them, the Xunzi argues that human nature is bad. However, it also allows that people can become good through rituals and institutions established by earlier sages. Indeed, the main purpose of the Xunzi is to urge people to become as good as possible, both for their own sakes and for the sake of peace and order in the world. In this edition, key terms are consistently translated to aid understanding and line numbers are provided for easy reference. Other features include a concise introduction, a timeline of early Chinese history, a list of important names and terms, cross-references, brief explanatory notes, a bibliography, and an index. (shrink)

We experience our own body through both touch and vision. We further see that others’ bodies are similar to our own body, but we have no direct experience of touch on others’ bodies. Therefore, relations between vision and touch are important for the sense of self and for mental representation of one’s own body. For example, seeing the hand improves tactile acuity on the hand, compared to seeing a non-hand object. While several studies have demonstrated this visual enhancement of touch (...) effect, its relation to the ‘bodily self’, or mental representation of one’s own body remains unclear. We examined whether VET is an effect of seeing a hand, or of seeing my hand, using the rubber hand illusion. In this illusion, a prosthetic hand which is brushed synchronously—but not asynchronously—with one’s own hand is felt to actually be one’s hand. Thus, we manipulated whether or not participants felt like they were looking directly at their hand, while holding the actual stimulus they viewed constant. Tactile acuity was measured by having participants judge the orientation of square-wave gratings. Two characteristic effects of VET were observed: cross-modal enhancement from seeing the hand was inversely related to overall tactile acuity, and participants near sensory threshold showed significant improvement following synchronous stroking, compared to asynchronous stroking or no stroking at all. These results demonstrate a clear functional relation between the bodily self and basic tactile perception. (shrink)

The human attempts to access, measure and organize physical phenomena have led to a manifold construction of mathematical and physical spaces. We will survey the evolution of geometries from Euclid to the Algebraic Geometry of the 20th century. The role of Persian/Arabic Algebra in this transition and its Western symbolic development is emphasized. In this relation, we will also discuss changes in the ontological attitudes toward mathematics and its applications. Historically, the encounter of geometric and algebraic perspectives enriched the mathematical (...) practices and their foundations. Yet, the collapse of Euclidean certitudes, of over 2300 years, and the crisis in the mathematical analysis of the 19th century, led to the exclusion of “geometric judgments” from the foundations of Mathematics. After the success and the limits of the logico-formal analysis, it is necessary to broaden our foundational tools and re-examine the interactions with natural sciences. In particular, the way the geometric and algebraic approaches organize knowledge is analyzed as a cross-disciplinary and cross-cultural issue and will be examined in Mathematical Physics and Biology. We finally discuss how the current notions of mathematical (phase) “space” should be revisited for the purposes of life sciences. (shrink)

De l'antiquité à la Renaissance, la notion de certitude est au coeur de la structuration de la pensée. Cet ouvrage réunit les contributions de spécialistes, qui explorent tous la littérature latine en mettant cette notion à l'épreuve de différentes disciplines et époques.

La traduction latine des Dialoghi della historia du philosophe néo-platonicien Francesco Patrizi da Cherso est publiée à Bâle en 1570. L’étude de la circulation de ce texte et des choix de traduction permet de mieux comprendre la réception des artes historicae italiennes dans le Nord de l’Europe et les fluctuations ou limites du latin face à la montée en puissance de l’italien vernaculaire comme langue philosophique.

La traduction latine des Dialoghi della historia du philosophe néo-platonicien Francesco Patrizi da Cherso est publiée à Bâle en 1570. L’étude de la circulation de ce texte et des choix de traduction permet de mieux comprendre la réception des artes historicae italiennes dans le Nord de l’Europe et les fluctuations ou limites du latin face à la montée en puissance de l’italien vernaculaire comme langue philosophique.

1. Sae sidae rŭl yŏrŏ gan saramdŭl -- 2. Ŏdum ŭi sidae.