If we accept that Kandinsky developed a systematic theory of the fundamentals of painting, we must ask what is the central concept underlying this attempt. This paper argues for the thesis that objectless vibration plays a central role in the reconstruction proposed Kandinsky’s first book, ”Concerning the Spiritual in Art”. This kind of vibration includes as a virtual field both shapes, sounds and colors. All these “fall” in an organized way from the virtual vibrations, and the purpose of abstract painting (...) is to lift the mind beyond the specific distinctions of the visible world of objects to the abstract level of primordial vibrations. The article examines the origin, functions, and the effect this concept has on color theory. (shrink)

This paper aims to show that Lessing develops in his aesthetics a pre-Kantian philosophy of consciousness. The concept of virtuality that the german writer puts forward in his essay Laocoon implies an interweaving of temporal dimensions similar to the threefold temporal synthesis described by Kant in the transcendental deduction of the Critique of Pure Reason. But whereas Kant thematizes an a priori of consciousness, Lessing is in search of an a priori of plastic art. It will be seen that perfect (...) sculpture presupposes the choice of that moment in time which can open the imagination to the past and the future in a way that enriches the present by transforming it into a "pregnant moment". The final aim of the article is to trace the genesis of the concept of simultaneity of temporal dimensions presupposed by the idea of the pregnant moment, and its implications for the idea of the temporality of consciousness. (shrink)

The book is the proceeding of a conference in Pisa 12007 on the philosophy of Lanza del Vasto - the unique Western disciple of Gandhi - examined under the items: his thesis work in Philosophy (Fabris), his Greek and Christian methaphysics (Salmeri), his criticism of Hegel (Vigne), the relationship with Gandhi (Manara), Trinity (Vermorel) Indian philosophical traditioon (Trianni), his henologixcal thinking (Reale) his trinitarian metaphysics (Bertini), his mystical thinking (Vannini) a logicaL analysis of his thinking(Drago), his philosophy and theory (...) of non-violence(Cozzo) The relationship with Catholic Church (Tanzarella), Pedagogy (Butturini), sojourn in Pisa (Lanza). (shrink)

Quel est le rôle de Galilée dans la naissance séculaire de la science moderne? Je réponds à la question ci-dessus à la lumière de deux nouveaux éléments. Dès le xvie siècle, Nicolas de Cues, quoiqu’il ne pratiquât pas la science expérimentale, a anticipé une partie substantielle de la révolution copernicienne et de la naissance de la méthodologie galiléenne. Le deuxième élément est l’introduction d’une nouvelle conception des fondements de la science ; ils sont définis comme constitués de trois dialectiques. Après (...) cette définition, la naissance de la science moderne correspond à un très long processus historique qui se conclut à notre époque. Sur cette longue période, Galilée ne fut pas seulement le premier à recourir à une méthodologie scientifique, mais aussi presque le seul à jamais avoir été conscient de l’ampleur des enjeux intellectuels de l’entreprise scientifique. (shrink)

MethodologyA new hypothesis on the basic features characterizing the Foundations of Mathematics is suggested.Application of the methodBy means of it, the several proposals, launched around the year 1900, for discovering the FoM are characterized. It is well known that the historical evolution of these proposals was marked by some notorious failures and conflicts. Particular attention is given to Cantor's programme and its improvements. Its merits and insufficiencies are characterized in the light of the new conception of the FoM. After the (...) failures of Frege's and Cantor's programmes owing to the discoveries of an antinomy and internal contradictions, respectively, the two remaining, more radical programmes, i.e. Hilbert's and Brouwer's, generated a great debate; the explanation given here is their mutual incommensurability, defined by means of the differences in their foundational features.ResultsThe ignorance of this phenomenon explains the inconclusiveness of a century-long debate between the advocates of these two proposals. Which however have been so greatly improved as to closely approach or even recognize some basic features of the FoM.Discussion on the resultsYet, no proposal has recognized the alternative basic feature to Hilbert's main one, the deductive organization of a theory, although already half a century before the births of all the programmes this alternative was substantially instantiated by Lobachevsky's theory on parallel lines. Some conclusive considerations of a historical and philosophical nature are offered. In particular, the conclusive birth of a pluralism in the FoM is stressed. (shrink)

Cohen’s “Logic of Pure Knowledge” marks a transformation of transcendental philosophy through its new and radical interpretation of pure thinking. For Cohen, thought is in its essence creative and needs no external elements in order to produce knowledge. This study is an attempt to reconstruct the way in which Cohen understands how thinking can create its pure content from nothing. My thesis is that Kant’s distinction between the determinable and the determining I offers the theoretical context in which the productivity (...) of thinking in Cohen’s system can be understood. Thinking creates its pure content by questioning the nothing that stands before it. (shrink)

Thomas Kuhn explicitly states that the paradigm shift implies a change of the world. This is because the paradigm is seen as constitutive of nature itself. In this paper, I will try to interpret this thesis by inscribing Kuhn's theory in the larger Kantian theoretical framework. As the last chapter of the „Critique of pure reason” shows, Kant thought that reason is inherently historical and evolves through revolutions. This dynamical perspective on reason comes clearly to light especially in the „Appendix” (...) to the „transcendental Dialectic”, where the Idea of reason is seen as an abstract theoretical framework that makes possible and guides the understanding. It will be shown that the Kuhnian paradigm and the Kantian transcendental Ideea function in similar ways. Both serve as an orientation for scientific research, they make rules possible, and constitute nature in a weak, indirect, way. The relation between Ideea and understanding in the first „Critique” parallels in many ways the kuhnian relation between paradigm and normal science. (shrink)

Nella storia della metafisica è stato un grande problema come chiarire l’idea della coincidentia oppositorum (la coincidenza degli opposti) di Cusano, il quale è riconosciuto comunque da Cassirer come il primo epistemologo del pensiero moderno, in particolare come colui che ha saputo conquistare l’infinito alla mente umana. Dopo alcuni secoli, ha avuto una grande importanza una idea simile a quella di Cusano, la dialettica di Hegel, la quale aggiunge una negazione ad una prima frase negata per ottenere una sintesi in (...) termini generali. Ma poi queste idee sono state sempre meno seguite, eccetto che nel XX secolo da un filosofo non accademico, Lanza del Vasto che ha criticato Hegel e si è ricondotto a Cusano. Nello scritto esamino questa tematica mediante gli strumenti recentemente forniti dalla logica matematica, già verificati sugli scritti di altri scienziati; essi sono capaci di distinguere con precisione che cosa, negli scritti di uno studioso, è un passaggio logico formale e che cosa è una semplice illazione, derivata dalla conoscenza comune o dalla sua creatività; e se è un passaggio logico, decidere di che tipo di logica è. Per mezzo di questo metodo formale, i) presento alcune caratteristiche del ragionare di Cusano; ii) critico il metodo di Hegel; il risultato si accorda con la analisi critica di Hegel che Lanza del Vasto ha compiuto in maniera intuitva; iii) dimostro che la relazione tra Cusano e Lanza del Vasto è più forte di quanto dichiara quest’ultimo; iv) suggerisco una spiegazione della coincidentia oppositorum, chiarendo che la novità di ragionare in logica non classica è stata così innovativa che il tentativo di Cusano di precisarne il metodo è risultato in una scorciatoia, non errata ma valida solo in alcune situazioni; mentre è stato deviante il tentativo di Hegel; Lanza del Vasto, che ha portato un contributo al metodo di Cusano, si è comunque reso conto che occorreva arrivare a formalizzare un nuovo tipo di logica, che oggi risulta essere quella non classica. In definitiva, occorre attribuire a Cusano il merito di aver suggerito una nuova maniera di razionalità logica, quella capace di ragionare in logica non classica e di averne dato, sia pure in maniera imprecisa ed oscura, una prima formalizzazione. (shrink)

I characterize Bishop's constructive mathematics as an alternative to classical mathematics, which makes use of the actual infinity. From the history an accurate investigation of past physical theories I obtianed some ones - mainly Lazare Carnot's mechanics and Sadi Carnot's thermodynamics - which are alternative to the dominant theories - e.g. Newtopn's mechanics. The way to link together mathematics to theoretical physics is generalized and some general considerations, in particualr on the geoemtry in theoretical physics, are obtained.that.

Modern debates on science and religion draw wide audiences due to the popularity of the subject. Yet, these audiences often lack in-depth knowledge about both fields, which leads them to firmly support one side, usually retaining their core beliefs even after the debate. This paper explores several possible relationships between science and religion: conflict, independence, dialogue, and integration. We challenge the view that science and religion are independent, operating on separate grounds, and assert that similar problems hold true for dialogue (...) and integration. Beliefs formed at an early age are difficult to correct, and dialogue rarely alters deep-rooted convictions, frequently causing conflicts. The paper advocates that early education about the nature of science and religion is a key strategy in mitigating or preventing conflicts between the two. (shrink)

. Each predicate of the Aristotelian square of opposition includes the word “is”. Through a twofold interpretation of this word the square includes both classical logic and non-classical logic. All theses embodied by the square of opposition are preserved by the new interpretation, except for contradictories, which are substituted by incommensurabilities. Indeed, the new interpretation of the square of opposition concerns the relationships among entire theories, each represented by means of a characteristic predicate. A generalization of the square of opposition (...) is achieved by not adjoining, according to two Leibniz’ suggestions about human mind, one more choice about the kind of infinity; i.e., a choice which was unknown by Greek’s culture, but which played a decisive role for the birth and then the development of modern science. This essential innovation of modern scientific culture explains why in modern times the Aristotelian square of opposition was disregarded. (shrink)

In this article, we propose the Fair Priority Model for COVID-19 vaccine distribution, and emphasize three fundamental values we believe should be considered when distributing a COVID-19 vaccine among countries: Benefiting people and limiting harm, prioritizing the disadvantaged, and equal moral concern for all individuals. The Priority Model addresses these values by focusing on mitigating three types of harms caused by COVID-19: death and permanent organ damage, indirect health consequences, such as health care system strain and stress, as well as (...) economic destruction. It proposes proceeding in three phases: the first addresses premature death, the second long-term health issues and economic harms, and the third aims to contain viral transmission fully and restore pre-pandemic activity. -/- To those who may deem an ethical framework irrelevant because of the belief that many countries will pursue "vaccine nationalism," we argue such a framework still has broad relevance. Reasonable national partiality would permit countries to focus on vaccine distribution within their borders up until the rate of transmission is below 1, at which point there would not be sufficient vaccine-preventable harm to justify retaining a vaccine. When a government reaches the limit of national partiality, it should release vaccines for other countries. -/- We also argue against two other recent proposals. Distributing a vaccine proportional to a country's population mistakenly assumes that equality requires treating differently situated countries identically. Prioritizing countries according to the number of front-line health care workers, the proportion of the population over 65, and the number of people with comorbidities within each country may exacerbate disadvantage and end up giving the vaccine in large part to wealthy nations. (shrink)

According to the transcendental Aesthetic of the Critique of pure reason, there are two properties of time that cannot be intellectualized: passage and infinitude. This study tries to show that these essential properties of time come to light in Kant’s Critique of Judgment. The contemplation of beauty will be understood as a non-successive time and the wonder that we experience in seeing the sublime will be understood through Kant’s concept of infinite moment. These two aesthetic concepts of time will be (...) integrated into Kant’s broader view of time as developed in the first Critique. (shrink)

I take advantage of two recent results: 1) the recognition of an alternative theoretical organization to the deductive-axiomatic one; it is characterized by a sequence of four logical steps belonging to intuitionist logic; 2) the recognition of the logical content of Cusanus’ philosophical works; also this content pertains to intuitionist logic, which Cusanus anticipated by even identifying some its logical laws. Many Cusanus’ books present the alternative theoretical organization; whose yet he did not apply in a clear way its last (...) two steps, the ad absurdum arguing and the application of the principle of sufficient reason. For this reason in the last books his thinking transcended to a metaphysical level. Hegel’s philosophy of logic shares Cusanus’ philosophical effort for exiting out classical logic. He seems to have assumed Cusanus’ anticipation of the new theoretical organization; all goes as if Hegel wanted to improve Cusanus’ poor method, by introducing a process of additions of two negations which however does not agree with the intuitionist logic. Moreover, Hegel presupposes, like Cusanus in his last years, the free application of the principle of sufficient reason to the entire subject of his philosophy of logic without awareness of the logical constraints to which is subject a correct application of this principle; hence, he introduced a metaphysical arguing which according to modern mathematical logic has no consistent content. Also Hegel’s supposed prolongation of Cusanus’ logical discoveries was an essentially metaphysical view. (shrink)

In this paper I argue for the following two related claims. First, the science of phoronomy from Kant's Metaphysical Foundations of Natural Science is grounded in the duplication of space. Second, this duplication is made possible through the self-localization of the subject, as Kant shows in the "Gegnden-Schrift". The thesis of this paper is that the self-localization transforms space into an object that can be cinematically moved and that this action sets the ground for a science of phoronomy, which presupposes (...) the existence of at least two spaces. In the end, the other endpoint of the Kantian determination of space is discussed, namely space understood as an idea of reason. (shrink)

The distinction between lying and mere misleading is commonly tied to the distinction between saying and conversationally implicating. Many definitions of lying are based on the idea that liars say something they believe to be false, while misleaders put forward a believed-false conversational implicature. The aim of this paper is to motivate, spell out, and defend an alternative approach, on which lying and misleading differ in terms of commitment: liars, but not misleaders, commit themselves to something they believe to be (...) false. This approach entails that lying and misleading involve speech-acts of different force. While lying requires the committal speech-act of asserting, misleading involves the non-committal speech-act of suggesting. The approach leads to a broader definition of lying that can account for lies that are told while speaking non-literally or with the help of presuppositions, and it allows for a parallel definition of misleading, which so far is lacking in the debate. (shrink)

The change in the organization of science education over the past fifty years is quickly recalled. Being its cultural bound the lack of a conception of the foundation of science, the multiple innovations have resulted as temporary improvements without a clear direction, apart from the technocratic goal of an automation of learning processes. The discovery of two dichotomies as the foundations of science suggests a pluralist conception of science, and hence the need to entirely renew science education, in particular by (...) introducing the notions of incommensurability and radical variations in meaning of the basic notions. This change was already anticipated by several proposals within each subject-matter. (shrink)

According to Perdurantism, persons are identical to maximal aggregates of appropriately interrelated temporal parts. Within the Perdurantist framework, an epistemic concern arises, targeting the perduring persons’ belief that they are persons, suggesting that, ultimately, they are not in a position to know that they are persons as opposed to temporal parts. Despite the consideration it has received over the years, this concern has not yet been converted into a full-fledged objection. This paper aims to address this gap by exploring the (...) possibility of formulating a coherent Epistemic Objection against Perdurantism. We shall examine several epistemological principles around which such an objection might be built, arguing that none of them, in the end, allows a plausible formulation of the objection. As a result, we shall conclude that the burden of proving that in a Perdurantist setting persons are not in a position to know that they are persons rests with the objectors. (shrink)

A new hypothesis on the basic features characterising the Foundations of Mathematics is suggested. By means of them the entire historical development of Mathematics before the 20th Century is summarised through a table. Also the several programs, launched around the year 1900, on the Foundations of Mathematics are characterised by a corresponding table. The major difficulty that these programs met was to recognize an alternative to the basic feature of the deductive organization of a theory - more precisely, to Hilbert’s (...) main tenet. Ironically, already half a century before the births of these programs the alternative organization has been substantially represented by Lobachevsky's theory on parallel lines. Moreover, although each program’s founder recognised the basic features in a partial way only, all together these programs represented just the four possible foundational approaches. (shrink)

Glucagon-like peptide-1 (GLP-1) receptor agonists, such as semaglutide, and dual GLP-1 and glucose-dependent insulinotropic polypeptide (GIP) receptor agonists, such as tirzepatide, have been found to be effective for treating obesity and diabetes, significantly reducing weight and the risk or predicted risk of adverse cardiovascular events. There is a global shortage of these medications that could last several years and raises questions about how limited supplies should be allocated. We propose a fair-allocation framework that enables evaluation of the ethics of current (...) practices and could guide governments, professional societies, and physicians in allocation decisions. (shrink)

It is widely held that all lies are assertions: the traditional definition of lying entails that, in order to lie, speakers have to assert something they believe to be false. It is also widely held that assertion contrasts with presupposition and, in particular, that one cannot assert something by presupposing it. Together, these views imply that speakers cannot lie with presuppositions—a view that Andreas Stokke has recently explicitly defended. The aim of this paper is to argue that speakers can lie (...) with presuppositions, and to discuss some of the implications this outcome has for current research on lying, assertion and presupposition. (shrink)

At first sight the Theory of Computation i) relies on a kind of mathematics based on the notion of potential infinity; ii) its theoretical organization is irreducible to an axiomatic one; rather it is organized in order to solve a problem: “What is a computation?”; iii) it makes essential use of doubly negated propositions of non-classical logic, in particular in the word expressions of the Church-Turing’s thesis; iv) its arguments include ad absurdum proofs. Under such aspects, it is like many (...) other scientific theories, in particular the first theories of both mechanical machines and heat machines. A more accurate examination of Theory of Computation shows a difference from the above mentioned theories in its essentially including an odd notion, “thesis”, to which no theorem corresponds. On the other hand, arguments of each of the other theories conclude a doubly negative predicate which then, by applying the inverse translation of the ‘negative one’, is translated into the corresponding affirmative predicate. By also taking into account three criticisms to the current Theory of Computation a rational re-formulation of it is sketched out; to Turing-Church thesis of the usual theory corresponds a similar proposition, yet connecting physical total computation functions with constructive mathematical total computation functions. -/- . (shrink)

Double negations are easily recognised in both the so-called “negative literature” and the original texts of some important scientific theories. Often they are not equivalent to the corresponding affirmative propositions. In the case the law of double negation fails they belong to non-classical logic, as first, intuitionist logic. Through a comparative analysis of the theories including them the main features of a new kind of theoretical organization governed by intuitionist logic are obtained. Its arguing proceeds through doubly negated propositions and (...) ad absurdum arguments. Then, the final doubly negated predicate is translated in the corresponding affirmative one, from which all the consequences are deduced in order to test them against reality. According to this model the true formalization of intuitionist logic is Kolmogorov’s 1932 paper. The above analysis also shows that modal words play an auxiliary or substitutive role to intuitionist propositions. In addition, it is shown that Vasiliev’s paraconsistent logic is represented through doubly negated propositions. By means of these three kinds of logic one can attribute a specific kind of logic to each of the three distinct steps of the process of building a scientific theory from the experimental data to its final theoretical system. It is also shown that the definition of negation is of a structural kind, rather than of an objective kind or a subjective kind: it has to be referred to the organization of the theory to which it belongs. (shrink)

This paper is concerned with fictive utterances, the authorial utterances that make up works of fiction. It is widely held that fictive utterances cannot be constative speech acts, such as assertions. Instead, fictive utterances are construed as pretended speech acts, as invitations to make-believe or as declarations. My aim is to challenge the non-constative consensus and to defend a view on which fictive utterances are constative speech acts after all, namely constatives that have a story as their target. I motivate (...) the constative view by discussing works of fiction that feature plot twists. Some of these plot twists indicate that fictive utterances can carry assertoric commitment and can be lies, contrary to what is commonly assumed. And I spell out a version of the constative view that takes cues from Stalnaker’s common ground account of assertion and the debate on commitment and responsibility in constatives. (shrink)

FROM THE HISTORY OF PHYSICS TO THE DISCOVERY OF THE FOUNDATIONS OF PHYSICS By Antonino Drago, formerly at Naples University “Federico II”, Italy – drago@unina,.it (Size : 391.800 bytes 75,400 words) The book summarizes a half a century author’s work on the foundations of physics. For the forst time is established a level of discourse on theoretical physics which at the same time is philosophical in nature (kinds of infinity, kinds of organization) and formal (kinds of mathematics, kinds (...) of logic). This double side of the two dichotomies assures a deep comprehension of theoretical physics by avoiding both a purely philosophical analysis and a purely formal analysis, each manifestly insufficient for representing all the aspects of theoretical physics. Among the many formulations of a physical theory, e.g. Mechanics, also Mach(1) recognized technical differences only, Instead my suggestion is to consider their differences as revealing the characteristic features of their foundations. No more radical differences may exist than those concerning both their kinds of Mathematics and their kinds of Logic. As a fact, after the 20th Century within each of these sciences there exist two antagonist foundations, within Mathematics either the classical one or the constructive one(2); within Mathematical Logic either the classical logic or the intuitionist one(3). Let us take Mechanics as an instance. Being the choices of the Newton’s formulation respectively the actual infinity of the differential equations relying on the infinitesimals and the classical logic, a formulation based on the alternative choices is Lazare Carnot’s,(4) whose mathematics is no more than algebraic-trigonometric and the logic is the intuitionist one, because this formulation makes use of doubly negated propositions, whose corresponding affirmative propositions are idealistic or false; i.e. in these cases the law of double negation fails, as in intuitionist logic occurs. By considering these two dichotomies as the foundations of the physical theories, each couple of choices upon them fashions one out four models of scientific theory, which are baptized through the authors of their most representative theories: Newtonian, Carnotian, Lagrangian, Descartesian. In correspondence four versions of the principle of inertia are recognized, as suggested by respectively: Descartes. Lazare Carnot, Enriques and Cavalieri.(5) All that suggests that the four models of scientific theory may be graphically represented as a compass orientating our minds amid the so numerous physical theories. By taking these dichotomies as interpretative categories, a new interpretative history of Physics including both classical and modern physics results according to a quadrilinear development. The birth of modern physics is characterized by the two theories - Einstein’s paper on special relativity and Einstein’s first paper on quanta - whose choices are the alternative ones to those of the previously dominant physical theory, Newtonian mechanics: in the latter paper Einstein i) declares the dichotomy on the kinds of mathematics (“Introduction”) and then he chooses the discrete mathematics; ii) by using doubly negated propositions he organizes his theory in an alternative way to the deductive-axiomatic one.(6) Moreover, a new history of Philosophy of knowledge results. Kant’s first two a priori transcendental categories represent the physical interpretation of the two choices out of the four pairs of choices on the two dichotomies, i.e. the choices of the dominant theory of mechanics, Newton’s. Hegel’s dialectic was a misleading attempt of anticipating the subsequent intuitionist logic. The book starts by a comparison of different formulations of thermodynamics in order to recognize the first dichotomy on the kind of organization. In chapter 2 the dichotomy on the kind of infinity is recognized through a comparison of Newrton’s mechanics and Lazare Carnot’s. A quickly history of the other classical physical theories is illustrated in chapter 3; it results a foundational conflict between the last two theories, and hence a conflict between their opposite couples of choices. The two main theories of modern physics, special realtivity and quantum mechanics confirm the foundational role played by the two dichotomies which gives reason for the radical change in the history of theoretical physics. Indeed, the opposition of the two main pairs of choices gives reason of the crisis in theoretical physics in the early 1900s. As a global result, the book represents the first interpretation of the entire history of Physics, both classical and modern; This fact proves that the four models of scientific theories can works as a compass (that of the front cover) suggesting a direction among the many physical theories. This new history of physics leads to re-visit both Koyré’s and Kuhn’s historiographies. Their interpretative categories are interpreted and explained through the two dichotomies so that it is possible to suggest à la Koyré categories based on the alternative choices theories to Newton’s as the suitable categories for interpreting the alternative theories to Newton’s mechanics. All that suggests a new interpretation of the crucial step in the history of Western philosophy of knowledge, i.e. the passage from Leibniz to Kant: Leibniz’s suggestion of the two labyrinths of human minds may be seen as a close anticipation of the two above dichotomies. Kant applied them in order to construct the well-known four cosmological proofs, which however he misinterpreted as leading to contradictions, instead to tow different methods of investigation corresponding to the two different kinds of logic.(7) Bibliography 1. Mach E. (1883), Die Mechanik, Leipzig: Brockhaus, Chap. IV, Sect. III. 2. Bishop E. (1967), Constructive Analysis, New York: Mc Graw-Hill. 3. Heyting A. (1962), Intuitionism. An Introduction, Amsterdam: North-Holland. 4. L. Carnot (1783), Essai on the Machines en général, Defay, Dijion (Enlish translation: Springer, Berlin, 2020). Drago A. (2004), “A new appraisal of old formulations of mechanics”, Am. J. Phys., 72(3), pp. 407-9. 5. Vella M.R. (2007), “Le quattro versioni del principio di inerzia”, in M. Leone et al. (eds.), L’eredità di Fermi, Majorana e altri Temi. Napoli: ESI, pp. 147-151. 6. Drago A. (2014), “The emergence of two options from Einstein°s first paper on Quanta”, in Pisano R., Capecchi D., Lukesova A. (eds.), Physics, Astronomy and Engineering. Critical Problems in the History of Science and Society, Scientia Socialis P., Siauliai, 2013, pp. 227-234. 7. This and all in the above points are illustrated by the book Drago A. (2017), Dalla Storia della Fisica ai Fondamenti della Scienza, Roma: Aracne. (shrink)

The main subject of Cusanus’ investigations was the name of God. He claimed to have achieved the best possible one, Not-Other. Since Cusanus stressed that these two words do not mean the corresponding affirmative word, i.e. the same, they represent the failure of the double negation law and there￾fore belong to non-classical, and above all, intuitionist logic. Some of his books implicitly applied intuitionist reasoning and the corresponding organization of a theory which is governed by intuitionist logic. A comparison of (...) two of Cusanus’ short writings shows that throughout his life he substantially improved his use of this kind of logic and ultimately was able to reason consistently within such a logic and recognize some of its basic laws. One important idea developed by him was that of a proposition composed of a triple repetition of “not-other” expressing “the Tri-unity of concordance” i.e. the “best name for the Trinity”. I complete his application of intuitionist logic to theological subjects by charac￾terizing the inner relationships within the Trinity in such a way that there are no longer contradictions in the notion. Generally speaking, the notion of the Trin￾ity implies a translation from intuitionist to classical logic, to which Cusanus closely approximated. Moreover, I show that the main aspects of Christian rev￾elation, including Christ’s teachings, are represented both by this translation and by some doubly negated propositions of intuitionist logic. Hence, intuition￾ist logic was introduced into the history of Western theological thinking with Christian revelation, as only Cusanus partly recognized. Appendix 1 summa￾rizes a detailed analysis of Cusanus’ second short writing. Appendix 2 shows that the Athanasian creed regarding the Christian Trinity is a consistent se￾quence of intuitionist propositions provided that some verbal emendations are added, showing that ancient trinitarian thinking was also close to intuitionist reasoning. (shrink)

This paper explores some features of the epistemic environment in social media and online communication. We argue that digital environments differ from offline ones in at least two ways: (a) online environments are thoroughly structured and programmed. Every action is defined and limited by the underlying code created by the system’s developers, providing the tools users need to navigate the online space. In contrast, offline environments are open to chance and unpredictability, allowing for events and actions that the system has (...) not predetermined; (b) every action is traced and used to evaluate levels of engagement with content and posts, with significant epistemic consequences. This creates a “dense” environment in which users are deeply entangled. In this regard, the concept of purely passive engagement is challenged, since activities such as just watching a video or reading a post can alter the epistemic landscape and promote specific content with which a person interacts. As a result, online social environments facilitate a variety of indirect communicative and epistemic activities across the network. Given this, the paper suggests that in such settings, attentional disengagement and avoidance should be considered a potential proactive way to modulate self-exposure. This strategy is aimed not only at protecting individuals from harmful content but also at actively shaping the information flow and knowledge structure within the environment. Managing one’s own attention can thus significantly influence how information is perceived and disseminated, essentially controlling the personal and collective epistemic environment. (shrink)

The obscure and punctuated history of symmetry is compared with the history of the celebrated and exalting notion of infinitesimal; some considerations about them are derived. A long list of odd and hidden events concerning symmetry in theoretical physics is offered. The last event is the discovery of the nature of the same word “symmetry” which pertains to non-classical logic, and it is linked to the principle of sufficient reason. A comparison of the roles played by the two mathematical techniques (...) within a classical physical theory is performed. It leads to recognize the different roles played by the two mathematical tools as a manifestation of an incommensurability phenomenon caused by two foundational dichotomies. (shrink)

All parties involved in researching, developing, manufacturing, and distributing COVID-19 vaccines need guidance on their ethical obligations. We focus on pharmaceutical companies' obligations because their capacities to research, develop, manufacture, and distribute vaccines make them uniquely placed for stemming the pandemic. We argue that an ethical approach to COVID-19 vaccine production and distribution should satisfy four uncontroversial principles: optimising vaccine production, including development, testing, and manufacturing; fair distribution; sustainability; and accountability. All parties' obligations should be coordinated and mutually consistent. For (...) instance, companies should not be obligated to provide host countries with additional booster shots at the expense of fulfilling bilateral contracts with countries in which there are surges. Finally, any satisfactory approach should include mechanisms for assurance that all parties are honouring their obligations. This assurance enables countries, pharmaceutical companies, global organisations, and others to verify compliance with the chosen approach and protect ethically compliant stakeholders from being unfairly exploited by unethical behaviour of others. (shrink)

Die 1755 verfasste Schrift Principiorum primorum cognitionis metaphysicae nova dilucidatio enthält eine Bestimmung der Willensfreiheit, die ein konsequentes Ergebnis der relevanten Erneuerung im Rahmen der Ontologie der ersten Philosophie Kants darstellt. Mein Beitrag betrifft insbesondere die in der Schrift geführte Auseinandersetzung mit Crusius, dessen Wertschätzung im Vergleich mit der Wolff’schen Schule Kant nicht daran hindert, zwei Hauptlehren seines Ansatzes zu kritisieren. Erstens sieht Kant eine Beziehung zwischen dem Freiheitsbegriff und dem Satz des zureichenden Grundes vor, die wichtige Elemente der Ethik (...) von Crusius in Frage stellt. Zweitens wendet er sich gegen Crusius’ Theorie der Spontaneität, indem er dessen Verteidigung der Willkürfreiheit als Gleichgültigkeit wie beim Gleichgewicht kritisiert. (shrink)

Lying requires asserting a disbelieved proposition, that much is widely accepted in the debate on how to define lying. But what else is required? Does lying require a particular linguistic manner of expression, such as saying? Does the proposition asserted have to be false (and not merely disbelieved)? And does lying require an intention to deceive? The aim of this chapter is to provide an opinionated introduction to the debates on these questions that takes into account both theoretical considerations and (...) empirical data. (shrink)

L’article décrit et publie la première et la deuxième partie du Colliget principiorum iuris naturalis, divini et humani philosophice doctrinalium, écrit par Heymeric de Campo en 1434 à la demande de Nicolas de Cues. Le texte est conservé dans le codex Cusanus 106 à Bernkastel-Kues et représente un des très rares traités de métaphysique écrit durant le Moyen Âge latin indépendamment de la tradition des commentaires à Aristote. Le Colliget cherche, de manière originale, à combiner l’idée d’une science de tout (...) connaissable, reprise de Raymond Lulle, avec la tradition métaphysique aristotélicienne et sa réinterprétation par Albert le Grand. (shrink)

In this paper we offer an interpretation of the inner relationship between nihilism and the tragic. With reference to the work of Heinz von Foester and to the sciences of complexity, we will argue that the essential feature of the tragic is “autoreferentiality”. Furthermore, arguing in favor of the use of the theological notion of kenōsis as the most precise description of the “history of nihilism”, we will show that the latter is to be understood in terms of the “weakening”, (...) or lowering of all the reference points generated by autotranscendent, etheronomous, social phenomena. The consequence of nihilism is therefore autoreferentiality. This result will offer the opportunity to see both to what extent we are now, at the end of modernity, living a tragic situation and, eventually, to claim – by recalling that autoreferentiality is also the inner logic of freedom – that the tragic is the outcome of modernity, but not a necessary one. (shrink)

The main algebraic foundations of quantum mechanics are quickly reviewed. They have been suggested since the birth of this theory till up to last years. They are the following ones: Heisenberg-Born- Jordan’s (1925), Weyl’s (1928), Dirac’s (1930), von Neumann’s (1936), Segal’s (1947), T.F. Jordan’s (1986), Morchio and Strocchi’s (2009) and Buchholz and Fregenhagen’s (2019). Four cases are stressed: 1) the misinterpretation of Dirac’s algebraic foundation; 2) von Neumann’s ‘conversion’ from the analytic approach of Hilbert space to the algebraic approach of (...) the rings of operators; 3) Morchio and Strocchi’s improving Dirac’s analogy between commutators and Poisson Brackets into an exact equivalence; 4) the recent foundation of quantum mechanics upon the algebra of perturbations. Some considerations on alternating theoretical importance of the algebraic approach in the history of QM are offered. The level of formalism has increased from the mere introduction of matrices to group theory and C*-algebras but has not led to a definition of the foundations of physics; in particular, an algebraic formulation of QM organized as a problem-based theory and an exclusive use of constructive mathematics is still to be discovered. (shrink)

Intentionalism is the view that demonstratives, gradable adjectives, quantifiers, modals and other context‐sensitive expressions are intention‐sensitive: their semantic value on a given use is fixed by speaker intentions. The first aim of this paper is to defend Intentionalism against three recent objections, according to which speakers at least sometimes do not have suitable intentions when using supposedly intention‐sensitive expressions. Its second aim is to thereby shed light on the so far little‐explored question of which kinds of intentions can be semantically (...) relevant. (shrink)

We argue that charging people to participate in research is likely to undermine the fundamental ethical bases of clinical research, especially the principles of social value, scientific validity, and fair subject selection.

In the last times some scholars tried to characterize Einstein’s distinction between ‘constructive’ – i.e. deductive - theories and ‘principle’ theories, the latter ones being preferred by Einstein. Here this distinction is qualified by an accurate inspection on past physical theories. Some previous theories are surely non-deductive theories. By a mutual comparison of them a set of features - mainly the arguing according to non-classical logic - are extracted. They manifest a new ideal model of organising a theory. Einstein’s paper (...) of 1905 on quanta, qualified by him as a ‘principle theory’, is interpreted according to this model of theory. Some unprecedented characteristic features are manifested. At the beginning of the same paper Einstein declared one more dichotomy about the kind of mathematics in theoretical physics. These two dichotomies are recognised as representing the foundations of theoretical physics. With respect to these dichotomies the choices by Einstein in the paper on quanta are the alternative choices to Newton’s ones. This fact gives reason to the ‘revolutionary’ nature that Einstein attributed to his paper. (shrink)

This chapter describes the process of institutionalization of natural law at the University of Pisa, essential to interpreting the conditions in which the first public law chair of Italy was founded. The study of legal education in the late seventeenth and early eighteenth century will allow a more in-depth understanding of both the development of natural law in teaching practice throughout the long eighteenth century, and the features of the two processes of reception, respectively for educational and political purposes. In (...) fact, although both processes were founded on appreciation of the centrality of Roman law and philosophy in the construction of doctrines by the so-called ‘modern natural law school’, and developed through mediation of traditional Roman legal culture of the Pisan ‘historical-critical school’, there were some differences. In this initial phase, the didactic reception was indirect, although not entirely implicit, whereas the political reception was direct and explicit. (shrink)

Der letzte Teil der ‚Moralität‘ in der Enyzklopädie der philosophischen Wissenschaften behandelt das ‚Gewissen‘ als eine dialektische Instanz. Die Bestimmung dieser Dialektik als Äußerung des ‚Objektiven Geistes‘ stellt eine Neuheit in Hegels Denken dar. Mein Beitrag will die Relevanz der Heidelberger Schriften Hegels für die Genese dieser Theorie verdeutlichen. Zu diesem Zweck wird die Rezension zum dritten Band der jacobischen Werke zusammen mit der ersten Ausgabe der Enzyklopädie in Betracht gezogen. Die entsprechende Analyse soll zeigen, dass die Auseinandersetzung mit Jacobi (...) für Hegel wichtig war, um den Begriff einer Dialektik des Gewissens überhaupt zu bestimmen. Gleichzeitig wird sich daraus die Eigenheit der hegelschen Lösung dieser Dialektik erweisen. (shrink)

The current definition of Constructive mathematics as “mathematics within intuitionist logic” ignores two fundamental issues. First, the kind of organization of the theory at issue. I show that intuitionist logic governs a problem-based organization, whose model is alternative to that of the deductive-axiomatic organization, governed by classical logic. Moreover, this dichotomy is independent of that of the kind of infinity, either potential or actual, to which respectively correspond constructive mathematical and classical mathematical tools. According to this view a mathematical theory (...) is based on the choices regarding these two dichotomies. As an example of this kind of foundation, arithmetic is rationally re-founded on constructive mathematical tools and the model of the problem-based organization. In conclusion, constructive mathematics is not only mathematics making use of constructive tools in intuitionist logic but also organized according to around a basic problem, solved by a method discovered using intuitionist logic. (shrink)

In this paper, I will deal with the issue of the relationship between trust, authoritarian democratic regimes and crises. I will pay special attention to the issue of the relationship between personal trust and trust in institutions. I will try to point out the way in which distrust in institutions develops in authoritarian regimes, as well as the populist way of diminishing the importance of institutions and trust in them, which are seen as obstacles to an efficient relationship between the (...) leader and the people. Finally, I will say a few words about trust in science and its way of approaching the public. (shrink)

I. Kant’s Critique of Judgment is a maintext to catch the epistemological tensions created by the emerging notion of life . By investigating the specific causality of life in order to explain the phenomenon of self-organization of the living, Kant uses the remarkable concept of technique of nature , thus establishing a strong analogy between technique and life.The consequences of this analogy affect not only the epistemology of life, but also the modern conception of technique.To a technicization of life corresponds (...) a vitalization of technique. A new hybrid territory is thus discovered – that of technical life – in whichstands the possibility of a biological archaeology of modern technique. (shrink)

Il Corso su L’ermeneutica del soggetto problematizza un tema che attraversa sottotraccia l’intera riflessione di Foucault, quello della tecnica. L’articolo, proponendo un dialogo fra Foucault, Heidegger e Simondon, prova a rintracciare lo sviluppo di questo tema, chiedendosi inoltre in che modo la tecnica entri in relazione con i processi di assoggettamento e di soggettivazione.

Hegel’s dispute with Schleiermacher in Berlin concerned two disciplines: dogmatics and philosophy. My contribution reconstructs the proper historical circumstances for each of Hegel’s disputes, defining the theoretical unity that underlies both. That unit strictly depends on a theory of ‘objective mind’ that is fulfilled between Heidelberg and Berlin. My contribution uses as a starting point to explain what is new in the Berlin disputes, and what is a repetition of Hegel’s lecture of Schleiermacher’s Dialogues about Religion, which he had criticized (...) at least since the Frankfurt times. Showing the relevance of the theory of ‘objective mind’ for the interpretation of the Hegelian concept of religion as a sphere of absolute mind, my contribution corrects two main mistakes of twentieth-century interpretations of Hegel: 1. Hegel doesn’t consider religion as a cultural phenomenon simply cancelled by philosophy; 2. his philosophy is not a speculative translation of Christian dogmas. The clarification of the reasons why Hegel was against Schleiermacher are therefore an attempt to remove reasons to be against Hegel's concept of religion. (shrink)

Sam Berstler defends a general moral advantage for misleading over lying by arguing that liars, but not misleaders, act unfairly toward the other members of their linguistic community. This article spells out three difficulties for Berstler’s account. First, though Berstler aims to avoid an error theory, it is dubitable that her account fits with intuitions on the matter. Second, there are some lies that do not exhibit the unfairness Berstler identifies. Third, fairness is not the only morally relevant difference between (...) lying and misleading. (shrink)