
13A new definition of reduction between two scientific theories: no reduction of chemistry to quantum mechanicsFoundations of Chemistry 22 (3): 421445. 2020.All suggested notions of reduction of two scientific theories are critically reviewed and analyzed. In particular those applied to the case of the alleged reduction of Chemistry to Quantum mechanics are examined. Since it is recognized that the weakness of this field of research is the lack of a definition of a scientific theory, it is suggested that a scientific theory is characterized by two choices regarding two dichotomies, that is, the kind of mathematics and the kind of logic. According to…Read more

3Joule’s Experiment as an Event Triggering a Formalization of a Baconian Science Till Up to an Alternative Theory to Newton’s OneFoundations of Science 121. forthcoming.A revisitation of Joule’s experiment motivates a critical analysis of thermodynamic notions: heat, total energy, first principle, organization of a scientific theory, its relationships with logic and mathematics. A rational reconstruction of thermodynamics is suggested according to the model of a problembased organization, that Sadi Carnot applied to his formulation. The new formulation accomplishes the long time theoretical process started by Joule’s experiment within physicists community's …Read more

Defining a General Structure of Four Inferential Processes by Means of Four Pairs of Choices Concerning Two Basic DichotomiesIn Matthieu Fontaine, Cristina BarésGómez, Francisco SalgueroLamillar, Lorenzo Magnani & Ángel NepomucenoFernández (eds.), ModelBased Reasoning in Science and Technology, Springer Verlag. 2019.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 c…Read more

13Intuitionist Reasoning in the TriUnitarian Theology of Nicholas of Cues (14011464)Journal of Applied Logic 6 (6): 11431186. 2019.The main subject of Cusanus’ investigations was the name of God. He claimed to have achieved the best possible one, NotOther. 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 therefore belong to nonclassical, and above all, intuitionist logic. Some of his books implicitly applied intuitionist reasoning and the corresponding organization of a theory which is governed by intuitioni…Read more

37Following Weyl on Quantum Mechanics: The Contribution of Ettore Majorana (review)Foundations of Physics 34 (5): 871887. 2004.After a quick historical account of the introduction of the grouptheoretical description of quantum mechanics in terms of symmetries, as proposed by Weyl, we examine some unpublished papers by Ettore Majorana. Remarkable results achieved by him in frontier research topics as well as in physics teaching point out that the Italian physicist can be well considered as a follower of Weyl in his reformulation of quantum mechanics

The relevances of Paraconsistent Logic in Experimental, Theoretical and Foundational ContextMetalogicon 2 7187. 2003.I will present paraconsistent logic in three different contexts: i) the experimental context, in which a statement is considered as concerning an experimental datum ; ii) the theoretical context, in which a statement is considered in a provisional way, as a candidate for playing inside a theoretical framework the role of a principle; iii) the foundational context, where a same statement leads to compare two different semantics according to two different formalizations of a same theory; in other …Read more

Nicolas of Cusa Logical War of Arguing Interpreted and Reconstructed according to Modern LogicMetalogicon 1 5186. 2009.I introduce a new method for investigating those original textswhich illustrate a theory which is aimed at solving a general problem. Themethod comprises two investigations. The first investigation is aimed atrecognising, within the original texts, all the occurrences of double negationsand ad absurdum arguments. These occurrences mean that the author argueswithin nonclassical logic, his logical thread develops through a chain of doublenegated sentences which compose units of argument, each end…Read more

2Lanza del Vasto's Structural Ethics on War and PeaceRamon Llull Journal of Applied Ethics 6 (6): 6780. 2015.Motivated by the alarming recurrence of wars, Lanza del Vasto became Gandhi’s disciple. From a social interpretation of biblical texts he derived a characterization of nonviolence as the conversion from not only personal negative drives, but also from the influences of negative social institutions and the entire civilization. His intellectual categories comprise an ethical conception of four essentially different models of development. This pluralism subsists inasmuch as the representatives of …Read more

8Defining Peirce’s Reasoning Processes Against the Background of the Mathematical Reasoning of Computability TheoryIn Lorenzo Magnani & Claudia Casadio (eds.), Model Based Reasoning in Science and Technology. Logical, Epistemological, and Cognitive Issues, Springer Verlag. 2016.In the present paper Peirce’s inferential processes are accurately defined against the background of the four ways of reasoning in Computability theory, i.e. general recursion, unbounded minimalization, oracle and undecidabilities. It is shown that Peirce anticipated almost all them.

32Suggestion for Teaching Science as a Pluralist EnterpriseTransversal: International Journal for the Historiography of Science 5 6683. 2018.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 educ…Read more

41A Pluralist Foundation of the Mathematics of the First Half of the Twentieth CenturyJournal of Indian Council of Philosophical Research 34 (2): 343363. 2017.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 ligh…Read more

397EINSTEINS 1905 REVOLUTIONARY PAPER ON QUANTA AS A MANIFEST AND DETAILED EXAMPLE OF A PRINCIPLE THEORYAdvances in Historical Studies (No.3). 2014.In the last times some scholars tried to characterize Einsteins 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 nondeductive theories. By a mutual comparison of them a set of features  mainly the arguing according to nonclassical logic  are extracted. They manifest a new ideal model of …Read more

5Atomism and the Reasoning by a NonClassical LogicHyle 5 (1). 1999.Often, in the original scientific writings, a double negated statement (DNS) is not equivalent to his corresponding positive one; that means the inferring law 'non non A > A' does not apply. Recent studies recognized in the failure of this logical law the borderline between classical and nonclassical logics. Original writings by classical chemists dealing with the problem of atomism are particularly characterized by the occurrences of DNSs. An historical case, Avogadro's contribution to atomis…Read more

Traduzione, doppia negazione ed ermeneuticaStudium 99 (5): 769780. 2003.As a basic work of a translation I suggest to be attentive to the doubly negated propositions because they do not belong to classical logic, rather to intuitionist logic. I offer several instances of these propositions and classify the typical ways of their occurrences in a text.

36Information science as a paradigmatic instance of a problem‐based theoryWorld Futures 49 (3): 251273. 1997.(1997). Information science as a paradigmatic instance of a problem‐based theory. World Futures: Vol. 49, The Quest for a Unified Theory of Information, pp. 251273

17Vasiliev's paraconsistent logic interpreted by means of the dual role played by the double negation lawJournal of Applied NonClassical Logics 11 (34): 281294. 2001.I prove that the three basic propositions of Vasiliev's paraconsistent logic have a semantic interpretation by means of the intuitionist logic. The interpèretation is confirmed by amens of the da Costa's model of Vasiliev's paraconsistent logic.

17Pluralism in Logic: The Square of Opposition, Leibniz'Principle of Sufficient Reason and Markov's PrincipleIn J.Y. Beziau & Dale Jacquette (eds.), Around and Beyond the Square of Opposition, Birkhäuser. pp. 175189. 2012.

Alternative mathematics and alternative theoretical physics: The method for linking them togetherEpistemologia 19 (1): 3350. 1996.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 ge…Read more

21The foundations of mathematics from a historical viewpointEpistemologia 38 (1): 133151. 2015.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  mo…Read more

4La Filosofia di Lanza Del Vasto: Un Ponte Tra Occidente Ed Oriente (edited book)Jaca Book. 2009.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 an…Read more

7Which kind of mathematics for quantum mechanics? A survey, a new interpretation and a program of researchIn V. Fano, M. Stanzione & G. Tarozzi (eds.), Prospettive Della Logica E Della Filosofia Della Scienza, Rubettino. pp. 161. 2001.

Sul «metodo scientifico»Nuova Civiltà Delle Macchine 13 (1/2): 5354. 1995.I illustrate my thesis; the scientific method relies on two basic options  n the kind of infinity and the kind of organization , on which a scientist founding a new theory has to choose. Galileo was attentive to these options by means of his two last books.

The Several Categories Suggested for the "New Historiography of Science"Epistemologia 24 (1): 4382. 2001.Having characterized the foundations of science by means of two basic options  one on the kind of the infinity, the other on the kind of the organization  I characterize the categories of all historians of science and classify them. In particular Koyré's and Kuhn's categories are explained through their choices on the two options. Mach result to be the main historian of the dominant attitudes of the historians of science.

18Mach's thesis: Thermodynamics as the basic theory for physics teachingScience & Education 3 (2): 189198. 1994.

4What Was the Role of Galileo in the CenturyLong Birth of Modern Science?Philosophia Scientae 21 3554. 2017.Quel est le rôle de Galilée dans la naissance séculaire de la science moderne? Je réponds à la question cidessus 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 …Read more