If there is an area of discourse in which disagreement is virtually absent, it is mathematics. After all, mathematicians justify their claims with deductive proofs: arguments that entail their conclusions. But is mathematics really exceptional in this respect? Looking at the history and practice of mathematics, we soon realize that it is not. First, deductive arguments must start somewhere. How should we choose the starting points (i.e., the axioms)? Second, mathematicians, like the rest of us, are fallible. Their ability to (...) recognize whether a putative proof is correct is not infallible. In most cases, disagreement over the correctness of a putative proof is, however, evanescent. Once an error is spotted and communicated, the disagreement disappears. But this is not always the case. Sometimes it is recalcitrant; that is, it persists over time. In order to zoom in on this type of disagreement and explain its very possibility, we focus on a single case study: a decades-long (1921-1949) controversy between Federigo Enriques and Francesco Severi, two prominent exponents of the Italian school of algebraic geometry. We suggest that the instability of the mathematical community to which they belonged can be explained by the gap between an abstract criterion of rigor and local criteria of acceptability. It is this instability that made the existence of recalcitrant disagreement over putative proofs possible. We do not condemn speculative mathematics but rather its pretense of being rigorous mathematics. In this respect, we show that the overly self-confident Severi and the more intuitive, visionary Enriques had a completely different attitude. (shrink)

The aim of this paper is to explore the peculiar case of infectious logics, a group of systems obtained generalizing the semantic behavior characteristic of the -fragment of the logics of nonsense, such as the ones due to Bochvar and Halldén, among others. Here, we extend these logics with classical negations, and we furthermore show that some of these extended systems can be properly regarded as logics of formal inconsistency and logics of formal undeterminedness.

Two Mosaic figures (Thomas Jefferson and Confucius) will be introduced here as a means of gauging whether Democracy is solely the child of the West and/or whether it can also be traced to a conceptual foundation in Confucianism, the practical political philosophy of ancient China. The teachings of Confucius (c. 551-479 BCE) as a source of political thought appear to be comprehensive enough to provide us with a just model for the administration of the state.

Nationalism seems a persistent ideology in academia as much as in politics; despite the fact that it has been shown that nationalism is deeply unjust for minorities. A case for national identity is often invoked to supplement liberalism regarding the inner difficulties that liberal theories have to explain their membership, assure stability and produce endorsement. So, it seems that national identity may also be required for justice. While this controversy continues, I argue that a different approach is available. We can (...) define a conception of legitimacy independently from a conception of justice, and then ask what legitimacy requires from our national allegiances. If everything goes well, much of the controversy from justice disappears as we find that the case for cultural nationalism may be illegitimate for liberal democracies. (shrink)

Many conservatives endorse a defence of closed borders grounded in basic liberal rights such as the basic right of association. Some conservatives also endorse libertarian principles of legitimacy. It is not clear though that this sort of defence of closed borders is somehow coherent with these libertarian ideals. I argue that conservative libertarians of this kind must reject this defence of closed borders because either it collapses into a form of statism incoherent with libertarian principles of legitimacy, or into an (...) ideal precept without appeal regarding reality in the here and now that could only be applied to changing the very nature of the societies we know. As a result, at least conservative libertarians need to find a different source of justification for closed borders. (shrink)

(This is the prologue to a book examining the causes of day-to-day strife in the populations of modern democracies vying to live and assert the freedoms promised to them by systems of governance supposed and expected to represent them.) -/- Voters, the population at large, no longer want representation but participation. But how is that achieved? The technological means are certainly there for each one of us to express opinion, bring forth ideas, mobilise groups with common purpose. -/- The growth (...) of the social, political, and professional consciousness has gone beyond the stage of conformism and acceptance. The time is ripe for mechanisms that create profound bottlenecks to be superseded by better means, less procedure, less posturing, full involvement at grass roots. (shrink)

La pregunta por la ética y la voluntad de vivir, frente a la racionalidad y la ecología utilitarista dan forma al texto de Enrique Leff. ¿Cómo se puede superar el estado actual de cosas sin recuperar una ética primigenia, la cual se hacía la pregunta por la buena vida, aquella que merece ser vivida? Siguiendo a Nietzsche, el rechazo por el sentimiento y las pulsiones están en el centro de la mirada racional e instrumental respecto de la naturaleza. La búsqueda (...) incesante del conocimiento objetivo nos ha llevado a olvidar las viejas preguntas acerca de cómo habitar el mundo; las mismas que la ilustración desechó en nombre del conocimiento científico y la dominación del mundo material. Este texto reflexiona sobre el señalado conflicto, y aporta elementos de análisis para su posible superación. (shrink)

Continúa mi primer escrito: "Darwinlandia". España no es darwinista. Un planeta para las variaciones. El darwinismo crítico de Bunge. El darwinismo de derechas de Pinker. Los enfermos contra el darwinismo.

The ancient Ouroboros symbolism (one who eats oneself) is here integrated into a simple birth-death clustering process that needed nothing but itself for a transition from indistinguishable phases to a sort of higher level ”conscious” phases. Birth and death coefficients are formulated in terms of odd and even exponentials used to represent a suitable form for conscious states via the internal transfer of information. This toy model may ideally quantify conscious states having inner causes via an Ouroboros index 0 < (...) Υα,Ω < 1. The value Υα,Ω = 0 lends to infinite loops and the limiting values Υα,Ω → 1 disclose transformation into awareness. Relationships with physics theories of consciousness and the use of the Oroborous index to discern about conscious-like states in Artificial Intelligence systems are discussed. Consciousness and freedom of will may go side-by-side in the model when Υα,Ω is extended to be a complex number modulus. (shrink)

But the modelling of the Confucian gentleman or junzi type of human being under the music simile and the rules of propriety (li) 禮 needs to be brought within the perspective of the Confucian use of language and the ultimately harmonising role of this philosophy. Such considerations lead us back to a concept that Pound was always keen to produce in his expositions, and refers directly to the importance of precise language usage. Pound's first concern for 'le mot juste' and (...) later for zheng ming 正名 is consistent throughout his career. (shrink)

This translation of Enrique Dussel's “‘Ser-Hispano’: Un Mundo en el ‘Border’ de Muchos Mundos” offers an interpretation of hispanos (Latin Americans and U.S. latinos) as historically, culturally, and geographically located “in-between” many worlds that combine to constitute an identity on the intercultural “border.” To illustrate how hispanos have navigated and continue to navigate their complex history in order to create a polyphonic identity, the essay sketches five historical-cultural “worlds” that come together to form the hispanic “world.”.

In Consciousness Studies it is common to distinguish between subjective character and qualitative character. It is also non unusual to maintain that both can be analyzed independently. This is called the “division of conceptual labor”. This idea, however, does not match with our intuitive insight that subjective character is multiple. Here I identify the idea of the division of conceptual labor as a version of the myth of the self, and I push forward two arguments against it. After that, I (...) will propose an alternative characterization of subjectivity on conscious experience. My main conclusion is that, in order to define the subjective character, we do need the qualitative character. The self needs the other. (shrink)

Moses deviced healthy laws to keep his people united as a nation. Moses is , alongside with Plato, Aristotle, Mahomet, Kung Fu, Lao Tse and Cicero, one of the "intelligent designers" of mankind in the last 5.000 years.

We study whether it is possible to generalise Seidenfeld et al.’s representation result for coherent choice functions in terms of sets of probability/utility pairs when we let go of Archimedeanity. We show that the convexity property is necessary but not sufficient for a choice function to be an infimum of a class of lexicographic ones. For the special case of two-dimensional option spaces, we determine the necessary and sufficient conditions by weakening the Archimedean axiom.

On the Stoics and their concept of the Whole.

La teología de Paul Davies. Sokal contra los posmodernos. Las leyes morales superiores a las leyes físicas.

Textos de Mario Bunge sobre la profesión de filósofo.

Commentary of "Nicomachean Ethics" of Aristotle. Ed. Eride, 2016. ISBN 978 84 16058 - 45 - 7 D.L. M- 6343- 2016.

Arcipreste de Hita, Felix Lucio, Gongora, Campomanes, Blasco Ibanez, Baroja, Espriu.

Páginas de tebeos escogidas por su interés filosófico.

Theory of rock music with texts from St. Augustine, Cicero, Arnold Schonberg, Hugo Riemann, Robert Schumann.

On the current fashion to look after a previous universe to explain the laws of our Universe.Esperando al nuevo Aristóteles, regreso a Henri Bergson y el "Parménides", el otro universo de Plotino. In Spanish.

On Cervantes ' "Don Quixote" so good as a fool. ISBN 978 84 686 6163 6 Published by Bubok Publishing S.L., 2015.

Diferencias entre las visiones del mundo de Lamarck y de Darwin. ISBN 978-84-686-6310-4.

Crítica de las escuelas de negocios. Adam Smith y su concepto del hombre.

Comentario de "La Republica " de Platon.

Spiderman as an anarchist hero, with drawings from John Romita and Steve Ditko.

The best and the worst of Spain. Texts from Unamuno, Lucas Mallada, Rafael Salillas, Josep Plà.

Textos de Miguel de Unamuno de sus libros, comentados.

The dilemma of the anthropos confuses him as to the advantage of the market to his existence. The market anthropos is seen as homo economicus, a self-interested, utility-maximizing individual. This popular belief is critically analyzed as to its nuances insofar as the homo politicus of John Rawls is concerned. The life of the market anthropos seeks consensus towards societal cooperation and justice. Popularly held to be dissenting, this paper seeks to explore their possible convergence in the light of the nuances (...) predicated by Adam Smith and Rawls. Ultimately, it is argued that the anthropos in either startum of politics or market is not differentiated but is one and the same, contextually apart but anthropologically integrated. The cooperative homo politicus can also be a cooperative homo econonomicus just as both can be selfishly motivated and utilitarianist. (shrink)

A set of notes on consciousness and creativity by Federico Faggin are here collected. Federico Faggin, Italian-American physicist and 2009 U.S. National Medal of Technology and Innovation, is best known for designing and creating the first commercial microprocessor, the Intel 4004. Faggin's curiosity about consciousness started in the late eighties when he asked himself if it was possible to develop a conscious computer. Faggin reveals here the main aspects and beliefs of his model about consciousness, fruit of his creative experiences (...) and reflections. These notes (in Italian) at times integrated, partially rewritten or kept unaltered by Federico Faggin himself, are meant to be an invitation to new generations of scholars and researchers to deepen on the topic of human creativity and consciousness. A final section with reflections of the author in times of SARS-CoV-2 is also presented. ----- Si presenta un compendio degli appunti su consapevolezza e creativita' del fisico italo-americano Federico Faggin. Faggin, vincitore nel 2009 della U.S. National Medal of Technology and Innovation, e' conosciuto globalmente per avere progettato e realizzato la prima CPU-on-a-chip al mondo: il microprocessore Intel 4004. La curiosita' di Faggin per la consapevolezza inizia alla fine degli anni Ottanta, quando si chiese se fosse possibile realizzare un computer cosciente. Faggin ci svela qui gli aspetti principali del suo modello, raccontando e mettendo in evidenza le sue principali convinzioni, frutto delle sue esperienze creative e delle sue riflessioni. Questi appunti talvolta integrati, parzialmente riscritti o lasciati inalterati da Federico Faggin in prima persona, vogliono essere un invito alle nuove generazioni di studiosi e ricercatori ad approfondire la ricerca su consapevolezza e creativita'. Il redattore ha aggiunto qualche spunto di riflessione sull'argomento al tempo di SARS-CoV-2. (shrink)

Sobre los robots como mejores médicos que los humanos.

On absolute random and restricted random .

The gods of the pre-socratics and their concept of Good, in Spanish.

Pope Francis argues for a shift to a new economic model that is in the service of the human life and is "more attentive to ethical principles" (LS 189). He does not endorse a specific model except that he provides conditions, principles, and frameworks by which its ethos must be grounded against. As part of his pastoral approach and his vision of a synodal Church, he invites everyone to participate and contribute to this discussion because "not all discussions of doctrinal, (...) moral or pastoral issues need to be settled by interventions of the magisterium" (AL 3). It is within this papal invitation of discoursing this new economic model where this paper aims to contribute particularly on the centrality of the anthropological criterion. The first section explores the meaning of his articulation on economics; situating it within the economic discourse of Pope John Paul II and Pope Benedict XVI. The second section focuses on the anthropological criterion as problematized by the identification of the homo economicus as self-interested. The third section draws a theoretical framework from substantivist economics in forwarding the desired economic ethos while the fourth section provides praxeological inputs and argues that homo economicus can be prosocial when the culture that is embedded in a particular economic model is put together to nurture such ethos. (shrink)

Comentario de la "Metafisica" de Aristoteles. Ed. Ëride, 2015. ISBN 978-84-16058-31-0 -/- DL M-23357-0.

In English, the Medieval philosophers on the genome. ISBN 978 84 686 6263 3 Bubok Publishing S.L., 2015.

Commentary of texts from Nieztsche to show he was the father of nazism. ISBN 978 84 686 6177 3 Published by Bubok Publishing S.L., 2015.

Selection of texts from Santiago Ramón y Cajal, biologist, writer and Nobel laurate. ISBN 978 84 686 6213 8 Published by Bubok Publishing S.L., 2015.

In Spanish, on Internet as the new god of all us.

Comentario de "Historia de la estetica" de Bosanquet.

La necesidad de la teología como una actividad humana. In Spanish.

The debate about justice in immigration seems somehow stagnated given that it seems justice requires both further exclusion and more porous borders. In the face of this, I propose to take a step back and to realize that the general problem of borders—to determine what kind of borders liberal democracies ought to have—gives rise to two particular problems: first, to justify exclusive control over the administration of borders (the problem of legitimacy of borders) and, second, to specify how this control (...) ought to be exercised (the problem of justice of borders). The literature has explored the second but ignored the first. Therefore, I propose a different approach to the ethics of immigration by focusing on concerns of legitimacy in a three-step framework: first, identifying the kind of authority or power that immigration controls exercise; second, redefining borders as international and domestic institutions that issue that kind of power; and finally, considering supranational institutions that redistribute the right to exclude among legitimate borders. (shrink)

On the 2001 theme, a very perfect computer would act like a god does.

En este artículo se plantea una reconsideración de la elección del reduccionismo de Parfit en Razones y personas como la posición que mejor explica el vínculo de dos sucesos mentales separados en el tiempo. Sin embargo, veremos cómo Parfit basa dicha elección en la consideración de la noción de persona como una sustancia, lo que en principio deja fuera cualquier otra perspectiva. El problema aparece cuando éste no considera apropiadamente el origen histórico de la pregunta en Locke, donde la noción (...) de “persona” se caracteriza en función de la “conciencia de sí”, lo que abre la posibilidad de entender dicha noción a partir de su naturaleza modal en vez de sustancial. En esta medida, se verá cómo esta tercera alternativa incluye una explicación de la conciencia de sí que podría considerarse más razonable bajo los propios términos de Parfit. (shrink)

The search for equalitarism in the political levellers of each century.

Is Ethics a rubber band ? Is Ethics a stretching value which goes from selfishness to altruism ?