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.

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)

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)

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)

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)

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)

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)

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)

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)

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)

. 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)

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)

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)

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)

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)

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)

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)

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)

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)

In previous papers I have characterized four ways of reasoning in Peirce’s philosophy, and four ways of reasoning in Computability Theory. I have established their correspondence on the basis of the four pairs of choices regarding two dichotomies, respectively the dichotomy between two kinds of Mathematics and the dichotomy between two kinds of Logic. In the present paper I introduce four principles of reasoning in theoretical Physics and I interpret also them by means of the four pairs of choices regarding (...) the above two dichotomies. I show that there exists a meaningful correspondence among the previous three fourfold sets of elements. This convergence of the characteristic ways of reasoning within three very different fields of research - Peirce’s philosophy, Computability theory and physical theories - suggests that there exists a general-purpose structure of four ways of reasoning. This structure is recognized as applied by Mendeleev when he built his periodic table. Moreover, it is shown that a chemist-, applies all the above ways of reasoning at the same time. Peirce’s professional practice as a chemist applying at the same time this variety of reasoning explains his stubborn research into the variety of the possible inferences. (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)

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)

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)

Whereas “Science does not think" (Heidegger), the "new historiography of science" - mainly Koyré's and Kuhn's ones - has addressed our minds to think about science in a new way. Recently Heelan suggested taking this new viewpoint for conceiving hermeneutic method in a more adequate way to present scientific practice. By an interpretative analysis of the categories of the above two historians, the present paper suggests a new way to conceive the foundations of science. Two basic dichotomies result: on the (...) kind of logic and on the kind of mathematics. They generate four models of scientific theory, sharply severed by the radical differences in their respective choices; that offers an accurate definition of incommensurability and even of an alternative scientific theory to a dominant one, which can be properly called a paradigm. In the past hermeneutic scholars gave negative appraisals on Western science; according to the new viewpoint recognising pluralism in the foundations of science, these appraisals concern the dominant paradigm only. In the light of the basic dichotomies a new way to define hermeneutics is suggested; it can be qualified in short by the following words: ‘The understanding of science is the science of understanding’. (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)

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)

Le but de ce texte est de mettre en évidence les équi­valences entre la façon dont le concept de conatus résout, dans l'Éthique, le problème de l'unité modale complexe. en rendant consis­tant le concept de chose singulière en tant que celle-ci doit être consi­dérée comme un légitime sujet d'attribution d'états, et la façon dont ce même concept dessine le rapport cognitif de l'esprit avec lui-même, rapport par lequel l'esprit se saisit comme sujet de ses états et qui ca­ractérise la notion (...) moderne de subjectivité. Ainsi, en éclairant cet as­pect du concept spinoziste de chose singulière. on comprendra aussi, de façon indirecte, l'une des conditions par lesquelles les choses peuvent, dans la doctrine spinoziste, devenir des objets ou des signes pour la connaissance humaine. (shrink)

The question I want to explore is whether experience supports an antireductionist ontology of time, that is, whether we should take it to support an ontology that includes a primitive, monadic property of nowness responsible for the special feel of events in the present, and a relation of passage that events instantiate in virtue of literally passing from the future, to the present, and then into the past.

It seems natural to choose whether to have a child by reflecting on what it would be like to actually have a child. I argue that this natural approach fails. If you choose to become a parent, and your choice is based on projections about what you think it would be like for you to have a child, your choice is not rational. If you choose to remain childless, and your choice is based upon projections about what you think it (...) would be like for you to have a child, your choice is not rational. This suggests we should reject our ordinary conception of how to make this life-changing decision, and raises general questions about how to rationally approach important life choices. (shrink)

Philosophers of experiment have acknowledged that experiments are often more than mere hypothesis-tests, once thought to be an experiment's exclusive calling. Drawing on examples from contemporary biology, I make an additional amendment to our understanding of experiment by examining the way that `wide' instrumentation can, for reasons of efficiency, lead scientists away from traditional hypothesis-directed methods of experimentation and towards exploratory methods.

The tripartite account of propositional, fallibilist knowledge that p as justified true belief can become adequate only if it can solve the Gettier Problem. However, the latter can be solved only if the problem of a successful coordination of the resources (at least truth and justification) necessary and sufficient to deliver propositional, fallibilist knowledge that p can be solved. In this paper, the coordination problem is proved to be insolvable by showing that it is equivalent to the ''''coordinated attack'''' problem, (...) which is demonstrably insolvable in epistemic logic. It follows that the tripartite account is not merely inadequate as it stands, as proved by Gettier-type counterexamples, but demonstrably irreparable in principle, so that efforts to improve it can never succeed. (shrink)

If you utter sentence (1) ‘Obama was born in 1961’ now, you say something true about the past. Since the past will always be such that the year 1961 has the property of being a time in which Obama was born, it seems impossible that could ever be false in a future context of utterance. We shall consider the case of a sentence about the past exactly like (1), but which was true when uttered a few years ago and is (...) no longer true now. On this basis, we shall conclude that the past has changed. (shrink)

I defend a one category ontology: an ontology that denies that we need more than one fundamental category to support the ontological structure of the world. Categorical fundamentality is understood in terms of the metaphysically prior, as that in which everything else in the world consists. One category ontologies are deeply appealing, because their ontological simplicity gives them an unmatched elegance and spareness. I’m a fan of a one category ontology that collapses the distinction between particular and property, replacing it (...) with a single fundamental category of intrinsic characters or qualities. We may describe the qualities as qualitative charactersor as modes, perhaps on the model of Aristotelian qualitative (nonsubstantial) kinds, and I will use the term “properties” interchangeably with “qualities”. The qualities are repeatable and reasonably sparse, although, as I discuss in section 2.6, there are empirical reasons that may suggest, depending on one’s preferred fundamental physical theory, that they include irreducibly intensive qualities. There are no uninstantiated qualities. I also assume that the fundamental qualitative natures are intrinsic, although physics may ultimately suggest that some of them are extrinsic. On my view, matter, concrete objects, abstract objects, and perhaps even spacetime are constructed from mereological fusions of qualities, so the world is simply a vast mixture of qualities, including polyadic properties (i.e., relations). This means that everything there is, including concrete objects like persons or stars, is a quality, a qualitative fusion, or a portion of the extended qualitative fusion that is the worldwhole. I call my view mereological bundle theory. (shrink)

Nachdem Ritter am 22.2.1801 die UV-Strahlen entdeckt hatte, besuchte er Goethe und machte mit ihm am Vormittag des 25.2.1801 optische Versuche; vermutlich hat er ihm sein bahnbrechendes Experiment zum UV-Licht gezeigt. Die räumlichen Gegebenheiten in Goethes Arbeitszimmer legen einen Versuchsaufbau nahe, der sich gut rekonstruieren lässt: Das Sonnenlicht wurde zwischen 12 und 13 Uhr durch ein Loch im linken Fensterladen seines Arbeitszimmers und durch eine durchlöcherte Pappschablone auf Goethes großes Wasserprisma geleitet und anderthalb Meter weiter hinten in Form eines newtonischen (...) Spektrums aufgefangen. Wie dieses Spektrum ausgesehen haben dürfte, zeigt eine Computersimulation. (shrink)

When medical assistance in dying (MAiD) was legalized in Canada in June 2016, the question of allowing decisionally capable persons to make advance requests in anticipation of later incapacity was reserved for further consideration during the mandatory parliamentary review originally scheduled to begin in June 2020 (but since delayed by COVID-19). In its current form the legislation does not permit such requests, since it stipulates that at the time at which the procedure is to be administered the patient must give (...) “express consent” to receiving it. Since express consent presupposes decisional capacity, this requirement rules out administering MAiD to a patient who has lost capacity. Amendments to the legislation passed by Parliament in March 2021 open the door slightly by allowing advance requests by patients after they have been approved for MAiD, if they fear losing capacity before the procedure can be administered. But this provision would apply only to patients whose natural death was deemed to be “reasonably foreseeable”, and would continue to exclude (a) requests made after diagnosis of a “grievous and irremediable medical condition” but in advance of approval for MAiD, and (b) requests made before such a diagnosis. My aim in this paper is twofold: to explore the ethical and legal issues concerning advance requests for MAiD, and to argue for expanding provision for such requests to include both of these further scenarios. (shrink)

In a recent issue of Philosophy East and West Douglas Berger defends a new reading of Mūlamadhyamakakārikā XXIV : 18, arguing that most contemporary translators mistranslate the important term prajñaptir upādāya, misreading it as a compound indicating "dependent designation" or something of the sort, instead of taking it simply to mean "this notion, once acquired." He attributes this alleged error, pervasive in modern scholarship, to Candrakīrti, who, Berger correctly notes, argues for the interpretation he rejects.Berger's analysis, and the reading of (...) the text he suggests is grounded on that analysis, is insightful and fascinating, and certainly generates an understanding of Nāgārjuna's enterprise that is welcome .. (shrink)

Hate speech, understood broadly, is any form of expression intended to arouse hatred or contempt toward members of a particular social group. When university administrators have reason to believe that a planned speaking event on campus may feature hate speech (at least in the eyes of some), how should they respond? In this paper I address this question as it arises for Canadian universities. I argue that, where the regulation of campus speech is concerned, the right course of action for (...) university administrators is nearly always to do absolutely nothing. They will have reason to become actively involved only in order to ensure that a speaking event proceeds safely, or when it threatens to disrupt the functioning of the university, or when it is itself threatened with disruption by protesting groups. In those instances the justification for intervention will be to protect and facilitate speech, not to shut it down. (shrink)

The genetic modification of pigs as a source of transplantable organs is one of several possible solutions to the chronic organ shortage. This paper describes existing ethical tensions in xenotransplantation (XTx) that argue against pursuing it. Recommendations for lifelong infectious disease surveillance and notification of close contacts of recipients are in tension with the rights of human research subjects. Parental/guardian consent for pediatric xenograft recipients is in tension with a child’s right to an open future. Individual consent to transplant is (...) in tension with public health threats that include zoonotic diseases. XTx amplifies concerns about justice in organ transplantation and could exacerbate existing inequities. The prevention of infectious disease in source animals is in tension with the best practices of animal care and animal welfare, requiring isolation, ethologically inappropriate housing, and invasive reproductive procedures that would severely impact the well-being of intelligent social creatures like pigs. (shrink)

Galileo’s Error is a superlative work of public philosophy, particularly as a way of introducing modern academic panpsychism to a broader audience. In this commentary, I reflect on an issue that is prominent, though often with different background concerns, in both academic and popular discourse: what it means to be ‘scientific’ or ‘unscientific’. Panpsychism is not itself a scientific hypothesis, but neither is it (as critics sometimes claim) in conflict with science. Indeed, Goff argues, and I agree, that panpsychism is (...) an eminently scientific worldview, in the sense of a way of viewing reality that accords with and embraces what science reveals. But what exactly it means to ‘accord with and embrace’ science is disputed; this paper tries to untangle some of the threads. (shrink)

I argue that we can understand the de se by employing the subjective mode of presentation or, if one’s ontology permits it, by defending an abundant ontology of perspectival personal properties or facts. I do this in the context of a discussion of Cappelen and Dever’s recent criticisms of the de se. Then, I discuss the distinctive role of the first personal perspective in discussions about empathy, rational deference, and self-understanding, and develop a way to frame the problem of lacking (...) prospective access to your future self as a problem with your capacity to imaginatively empathize with your future selves. (shrink)

Commentary on Walsh, E. 2020. Cognitive transformation, dementia, and the moral weight of advance directives. The American Journal of Bioethics. 20(8): 54–64.

Moral reasoning traditionally distinguishes two types of evil: moral and natural. The standard view is that ME is the product of human agency and so includes phenomena such as war, torture and psychological cruelty; that NE is the product of nonhuman agency, and so includes natural disasters such as earthquakes, floods, disease and famine; and finally, that more complex cases are appropriately analysed as a combination of ME and NE. Recently, as a result of developments in autonomous agents in cyberspace, (...) a new class of interesting and important examples of hybrid evil has come to light. In this paper, it is called artificial evil and a case is made for considering it to complement ME and NE to produce a more adequate taxonomy. By isolating the features that have led to the appearance of AE, cyberspace is characterised as a self-contained environment that forms the essential component in any foundation of the emerging field of Computer Ethics. It is argued that this goes some way towards providing a methodological explanation of why cyberspace is central to so many of CE’s concerns; and it is shown how notions of good and evil can be formulated in cyberspace. Of considerable interest is how the propensity for an agent’s action to be morally good or evil can be determined even in the absence of biologically sentient participants and thus allows artificial agents not only to perpetrate evil but conversely to ‘receive’ or ‘suffer from’ it. The thesis defended is that the notion of entropy structure, which encapsulates human value judgement concerning cyberspace in a formal mathematical definition, is sufficient to achieve this purpose and, moreover, that the concept of AE can be determined formally, by mathematical methods. A consequence of this approach is that the debate on whether CE should be considered unique, and hence developed as a Macroethics, may be viewed, constructively, in an alternative manner. The case is made that whilst CE issues are not uncontroversially unique, they are sufficiently novel to render inadequate the approach of standard Macroethics such as Utilitarianism and Deontologism and hence to prompt the search for a robust ethical theory that can deal with them successfully. The name Information Ethics is proposed for that theory. It is argued that the uniqueness of IE is justified by its being non-biologically biased and patient-oriented: IE is an Environmental Macroethics based on the concept of data entity rather than life. It follows that the novelty of CE issues such as AE can be appreciated properly because IE provides a new perspective. In light of the discussion provided in this paper, it is concluded that Computer Ethics is worthy of independent study because it requires its own application-specific knowledge and is capable of supporting a methodological foundation, Information Ethics. (shrink)

The self can be understood in objective metaphysical terms as a bundle of properties, as a substance, or as some other kind of entity on our metaphysical list of what there is. Such an approach explores the metaphysical nature of the self when regarded from a suitably impersonal, ontological perspective. It explores the nature and structure of the self in objective reality, that is, the nature and structure of the self from without. This is the objective self. I am taking (...) a different approach. In addition to objective reality, which is usually understood and explored from an impersonal, quasi-observational and metaphysically realist perspective, we can also explore the nature and structure of subjective reality. The nature and structure of subjective reality is defined by the nature and structure of first-personal, conscious experience. Subjective reality is as real as objective reality, and a metaphysical realist such as myself can endorse the existence of both kinds of ontology. The mental states that, as experienced from the first-personal or subjective perspective, capture the nature and structure of subjective reality, are included in objective reality. The questions to explore in a subjective ontology of the self concern the nature and structure of the self from the first-personal or subjective perspective, that is, the nature and structure of the self from within. This is the subjective self. (shrink)

This discussion revises and extends Jonny Anomaly's ‘public goods’ account of public health ethics in light of recent criticism from Richard Dees. Public goods are goods that are both non-rival and non-excludable. What is significant about such goods is that they are not always provided efficiently by the market. Indeed, the state can sometimes realize efficiency gains either by supplying such goods directly or by compelling private purchase. But public goods are not the only goods that the market may fail (...) to provide efficiently. This point to a way of broadening the public goods account of public health to accommodate Dees' counterexamples, without abandoning its distinctive appeal. On the market failures approach to public health ethics, the role of public health is to correct public health-related market failures of all kinds, so far as possible. The underlying moral commitment is to economic efficiency in the sense of Pareto: if we can re-allocate resources in the economy so as to raise the welfare of some without lowering the welfare of any other, we ought to do so. (shrink)