coincidentia oppositorum cusano

This kind of change is the same suggested by Leibniz’ principle of sufficient reason. A notable example of this is his mystical or spiritual writings on "learned ignorance," as well as his participation … Purple represents the transition between the two opposite colors blue and red and the achievement of the harmony of these two produces what N. Cusano calls "coincidentia oppositorum" and the highest level corresponds to mystical intuition. The relevance of all the four theses of the new logical structure is obtained by studying all the conversion implications of intuitionist predicates. Il contesto storico della collaborazione tra Lavoisier e Laplace Per ricostruire gli anni immediatamente precedenti alla pubblicazione della Mémoire sur le chaleur (1784), abbiamo fatto riferimento alla lunga e dettagliata analisi storica che H. Guerlac ha fatto di quest'opera (pp. , 1453, 13 (Engl. On Learned Ignorancedevotes its first book toGod, the second to the universe and a third to the God-man, JesusChrist. ): J.-M. Nicolle [2005]: “Egalité et identité chez Nicolas de Cues”, in D. Larre (ed. Artist. in the rigorous way that is formalised by modern paraconsistent logic. A similar unique structure is obtained. “logical” side of Hegel's thought had been largely forgotten”. 0000073664 00000 n endstream endobj 460 0 obj <>/Metadata 62 0 R/PageLabels 57 0 R/Pages 59 0 R/StructTreeRoot 64 0 R/Type/Catalog/ViewerPreferences<>>> endobj 461 0 obj <>/Font<>/ProcSet[/PDF/Text]/XObject<>>>/Rotate 0/StructParents 0/TrimBox[0.0 0.0 439.37 637.795]/Type/Page>> endobj 462 0 obj <> endobj 463 0 obj <> endobj 464 0 obj <> endobj 465 0 obj <> endobj 466 0 obj <> endobj 467 0 obj <>stream In fact, this same way of. ): A. Drago [2003]: “The relevance of paraconsistent logic in Experimental, Theoretical and, A. Drago [2005]: “A.N. mean “constant”; moreover, the word “only” represents a double negation, because it is equivalent to “nothing else. is not a contradiction, as Cusanus maintained against his critics. In particular. either common knowledge or his creativity. Arruda's one and da Costa and Puga's one - the latter one fits the above interpretation.. the correct methodological basis (i.e., criterion of truth) of science. Coincidentia oppositorum book. In order to support this new logical structure, I investigate on the rich legacy of the nonclassical arguments presented by ingenuity by several authors of scientific theories. in J. van Heijenoort (ed. 0000053601 00000 n Original writings by classical chemists dealing with the problem of atomism are particularly characterized by the occurrences of DNSs. endstream endobj 487 0 obj <>/Filter/FlateDecode/Index[64 395]/Length 36/Size 459/Type/XRef/W[1 1 1]>>stream 0000005194 00000 n 0000003868 00000 n more to the intended semantic that to formal rules. Coincidentia oppositorum. Kolmogoroff [1967]: “The principle of. It is not the case that * He is nothing or that He is not nothing; always obtained by a double negation of the thesis. XXXVI, I r. 3. : Jaca book Milano, 1980, p. 124). 0000003052 00000 n trivialities that Hegel claimed were great discoveries. Lobachevsky [1950]. 215-229. But the concepts "proposition" and "property of proposition" are not identical. This interpretation agrees with an analysis performed in merely philosophical terms by both K. Flasch [1973] and E. E. Cassirer [1929], p. 67, maintains the same. he Philosopher held it to be most certain that an armation contradicts a, ” (A conjecture is a positive sentence about the. Problemgeschichtliche. I will refer to this translation because its differences with other translations are not relevant to our, aims (however I always compared it with the Italian translation by G. Federici V, were written in haste… [he] generates many different ideas [without working] out their implications.” Hence, there is, “… a gap between what he means and what he says… one has to interpret his unclear passages.”, Notice that if in non-classical logic the sentence. by J. Hopkins, p. 1304, no. dialectical thinking once again. Methodological basis of the analysis is the unity of formal logic and rational dialectics. ABSTRACT In the history of metaphysics it has been a great problem how to clarify the idea of a coincidentia oppositorum (the coincidence of opposites) suggested by Cusano, who is recognized by Cassirer as the first epistemologist of modern thought, in particular as the one who knew how to conquer the infinity to the human mind. When, in his more important book, he invented an intuitionist name he implicitly reasoned about it according to the intuitionist square of opposition so precisely that he was able to organize his theories in a new way; it was based not on axioms- principles, but on the search for a new method for solving a general problem. 0000008214 00000 n ��NP�ؼI L*���A�j&� ), Festschrift in Honour of Lawrence Friedman. After a few centuries, an idea similar to that of Cusano, the dialectic of Hegel – that added a negation to a first negated sentence to obtain a synthesis in general terms -, was of great importance. Coincidentia oppositorum: Hybrid Networks Beyond Contract and Organization "Storrs Lectures 2003/04" Yale Law School. Coincidentia oppositorum este un concept filosofic și religios care semnifică „coincidența contrariilor”. it produces a DNS. Das erste Prinzip als Coincidentia oppositorum Die ontologisch Untersuchung des Prinzips der Wirklichkeit ist bei Cusanus durch die ganze Arbeiten behänden und die ist vor allem durch die neuplatonische Tradition geführt: Platon, Proklos, Dionysius … In the paper I examine this topic using the tools recently provided by mathematical logic, already verified on the writings of other scientists; through them I am able to distinguish precisely what, in the writings of a scholar, is a formal logical step and what is a simple guess, derived from common knowledge or creativity; and if it is a logical step, decide what kind of logic it is. wants to raise thinking to syntheses which, without being DNSs, through a sequence of more DNSs, which part of truth belongs to respectively to, DNSs; which eventually establishes exactly which part of, the contraries after having find out the point of conjunction.” (G. Bruno, quoted by Lanza del V, other words, a conflict opposes two positions only partially, although each one thinks it is in black-and-white opposition, to the other one; the problem of solving a conflict is to find out the point of conjunction of the two positions through an, independent evaluation of these positions; in the same way, by considering the distance between the two plates of scales. If concepts and propositions as meaning contents are removed from consideration, then formal logic is destroyed. 0000008818 00000 n did not circumscribe his results, so that they seemed ill-founded to most scholars. 1 / JUNE 2015: 105-120, ISSN 2067-365, www.metajournal.org The Coincidentia oppositorum and the Feeling of Being* Valentin Cozmescu “Alexandru Ioan Cuza” University of Iasi Abstract The coincidentia oppositorum … 2 talking about this. kinds of logic do; thus, his criticism was correct. A. Drago and R. Oliva [1999]: “Atomism and the reasoning by non-classical logic”, A. Drago and A. Perno [2004]: “La teoria geometrica delle parallele impostata, A. Drago and R. Pisano [2004]: “Interpretazione e ricostruzione delle, L. Gabriel [1970]: „Il pensiero dialettico in Cusano e Hegel“„, J. Hopkins [2002]: “Nicholas of Cusa: First Modern Philosopher?”, in P, L. Horn [2002]: “The Logic of Logical Double Negation", in Kato Y. 2. According to fifteenth century cardinal, mathematician, and mystic Nicholas Cusanus (also referred to as Nicholas of Cusa and Nicholas of Kues), the coincidentia oppositorum – or “coincidence of opposites” – constitutes the “least imperfect” name for God and was the means by which humanity could achieve religious toleration and, ultimately, world peace. Ultimately, I attribute to Cusano two merits: to have suggested a new way of logical rationality, that capable of reasoning in non-classical logic; to have given, although in an imprecise and obscure manner, a first formalization of this new logic. Indeed, an accurate inspection of Cusanus’ texts shows that in order to discover new names of God by means of coincidences of opposites, Cusanus invented several names belonging to different kinds of non-classical logic—i.e. One of the first German proponents of Renaissance humanism, he made spiritual and political contributions in European history. implies that “It is not the case that I do not have five euro”. Kolmogoroff [1967], i.e. %%EOF Coincidentia oppositorum It is a neoplatonic term attributed to 15th century German polymath Nicholas of Cusa in his essay, De Docta Ignorantia (1440). adopto parte del concepto cusano de "non-aliud", el cual repro­ duce el sentido propio del primitivo concepto de "coincidentia oppositorum". Inhaltsverzeichnis 1 … 0000009370 00000 n the sin was as the act of exploiting for his own advantage the original knowledge-contemplation that a, man received from God; he diverted it to a knowledge-calculation for self-interest, so that he know the reality as a strict, dualism between what is useful for achieving his own good vs. the other, which is conceived as an evil to be avoided or, even suppressed. L'infinità dell'Essere-Dio porta Cusano a sostenere che nulla si trova al di fuori di Lui, e che dunque anche gli opposti sono in Lui compresenti: Dio viene concepito pertanto come coincidentia oppositorum, cioè «unione dei contrari». This conclusion of every theory results to be formalised by the A thesis of the new logical structure. 0000001458 00000 n Moreover, he wanted to refer his reasoning not to the square of opposition but to a new logical scheme, a “tri-unity of concordance”, for which he suggested an original definition. Only this DNS is true. negation with respect to its corresponding affirmation and the identity principle: by applying some basic notions of three different kinds of logic. of an artificial and functionless formalism…”. În fizică și lumea rațională există o dualitate de genul cald–rece sau zi-noapte, dar coincidentia oppositorum se referă la o presupusă realitate suprarațională (divină) în care toate contrariile coincid. provides some evidence for this hypothesis. (tr. xref G. Reale [2008]: “<> ed <>: i due tipi di metafisica creati dai. 0000009896 00000 n But subsequently these ideas were less and less followed, except in the twentieth century by a non-academic philosopher, Lanza del Vasto, who criticized Hegel and went back to Cusano. Bochensky, A.N. classical logic - for instance, intuitionist logic -, holds true. startxref equivalent to the corresponding affirmative sentence, such a synthesis is a DNS. ... aspetti dai quali si forma l'essere umano e siamo alla coincidentia oppositorum. 0000011672 00000 n Cusa, Nicholas. Hegel however added to it strong idealistic meanings. “Do not confuse the [different] levels [where the coincidence occurs]”; , as illustrated since his first book, i.e. Il titolo non ha il significato filosofico usuale che riguarda il pensiero del filosofo Nicola Cusano. He adds: those at the level of the Categories, their conciliation occurs at infinity only…, escape from the Duality in which they had become entangled.”, opposed; and which thus have a solution which is a transcending. , Il grande vetro / Jaca book, Milano, 2009. (1) Pure mathematics operates on mathematical quantity. V, consider the first two sentences above as opposites, the third one represents precisely. The long paper "Mémoire sur la chaleur" (1784) is born from the collaboration between a chemist, Antoine-Laurent Lavoisier (1743-1794), and a physical-mathematician, Pierre-Simon de Laplace (1749-1827). Arguments are as follows. Nel 1778 nell'Introduction et plan (p. 267-270, [10]) per un secondo volume mai scritto dei suoi Opuscules physiques et chimiques (1774), Lavoisier aveva dichiarato di voler seguire "il metodo dei geometri, metodo prezioso che condurrà sempre all'evidenza, se noi possiamo partire in fisica da dati sicuri e dimostrati". it distorts the way of thinking; . about the differences between two great religions, shows this acute perception: conciliation of opposites in a “higher unity”, but he failed in defining the plane of the third term. 535–475 BC) a |pre-Socrat... World Heritage Encyclopedia, the aggregation of the largest online encyclopedias available, and the most definitive collection ever assembled. The relevance of the DNSs seems rarely noticed by linguists. 0000010494 00000 n apparent one (or rather, it is a partial contradiction only). thermodynamics; N.I. Vasiliev's paraconsistent logic is interpreted by differentiating in a scientific theory among axiom-principles, methodological principles and mere guess. tr. Tumblr is a place to express yourself, discover yourself, and bond over the stuff you love. A comparative analysis of their ways of arguing shows that each of these theories is severed in two parts; the former one proves a universal predicate by an ad absurdum proof. The greater the distance between them, the more difficult and uncertain is the conclusion. accomplishes the long time theoretical process started by Joule’s experiment within physicists community's collective mind, i.e. (LdV), brought about a re-birth of Cusanus’s dialectics. positive, paraconsistent, modal and intuitionist—, which were formalised in the last century. Coincidentia oppositorum I by marjankrebelj. Instead, Markov’s principle results to be a weaker logical change, from the intuitionist thesis I in the affirmative thesis I. Reasoning involves a relating or comparing of conclusion with premises. Antonino Drago - University of Pisa – drago@unina.it. apply to them, which hence belong to non-classical logic, accessible on his site. The Impossible Necessity of Sociological Jurisprudence A similar unique structure is obtained. La Philosophie de Lanza del V. , Sansoni, Firenze, 1980, 419-447, p. 427. Nicholas of Cusa, also referred to as Nicholas of Kues and Nicolaus Cusanus, was a German philosopher, theologian, jurist, mathematician and astronomer. 459 0 obj <> endobj analysis of their ways of arguing shows that each of these theories is severed in two parts; the former one proves a universal predicate by an ad absurdum proof. Proceedings of the Sophia Symposium on Negation. Almost a century ago Cassirer suggested that Cusanus had looked for a new kind of logic. In the appendix, I analyse as an example of the above theories, Markov’s presentation of his theory of real numbers. If the distanc… It's where your interests connect you with your people. In this case Hegel’, Hegel’s do not contributed to clarifying Cusanus’. Nicholas of Cusa’s most complete set of proposals about what isreal occurs in his best-known work of 1440, De doctaignorantia: On Learned Ignorance. (6) The essences of formal logic and mathematics are different. the first formal introduction of intuitionist (actually. Coincidentia oppositorum (lateinisch; „Zusammenfall der Gegensätze“) ist ein zentraler Begriff im Denken des Philosophen und Theologen Nikolaus von Kues (Cusanus). En un brevísimo artículo, James Sterba sostiene que existe un deber moral de sacrificar la propia vida para salvar la de terceros. sentences. 1. It is well-known that Cusanus (1401–1464) introduced the surprising notion of the coincidence of opposites, which in fact shrinks Aristotle’s square of opposition into a segment. The relevance of all the four theses of the new logical structure is obtained by studying all the conversion implications of intuitionist predicates. 0000006427 00000 n Search of a new formualtion of quantum mechanics relying on the alternative choices of the Dirac-von Neumann's one A new, FORMAL-LOGICAL ANALYSIS OF THE STARTING POINT OF MATHEMATICAL LOGIC. ): Pensiero, Milano, 1924, in particular p. 459. intuitionistic and minimal logic”, in H. A. Schmidt, K. Schuette and H.-J. logico, decidere di che tipo di logica è. 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. For to the question whether God exists ther, response than that (1) * it is not the case either that He exists or that He does, not exist and (2) it is not the case that He both exists and does not exist *. also known as Nikolaus von Cusa, Nicolaus Cusanus (b.Kues, Moselle, Germany, ca 1401; d.Todi, Umbria, Italy, 11 August 1464) philosophy, mathematics.. Nicholas was the son of a well-to-do Moselle fisherman, Johann Cryffts (or Krypffs, or Krebs), and his wife Katharina Römer. infinite realms, beyond the “walls of Paradise”, problem in proceeding from finite beings to divine beings, or. %PDF-1.4 %���� mathematical logic enable us to suggest some qualifications of this dialectics. In other words, the sequence of all DNSs circumscribes the logical contents of this text. Logic, Methodology and Philosophy of Science VIII, La Relation Infinie. (The more he knows that he is unknowing, the more learned he will be). In particular, Hegel introduced a "logic of contradiction" (which actually is a mere reiteration of Cusanus' first, inadequate attempt to renew logic; ... Cusanus claimed to argue through an opposite's coincidence of A and ¬A; Hegel through an almost mechanical addiction of a negation to a ¬A sentence. ” (the motion is… an ordered series of rest states”; N. Cusanus [1450]); it anticipated the, About unavoidable antinomies, inasmuch as they inherent in the nature, . Contributions to Logic and Methodology in honour to J.M. According to Nicholas, a man is wise only if he is aware of the limits of the mind in knowing the truth. ABSTRACT In the history of metaphysics it has been a great problem how to clarify the idea of a coincidentia oppositorum (the coincidence of opposites) suggested by Cusano, who is … Il nostro scopo, d'altro canto, non è quello di entrare nel merito delle differenti interpretazioni che gli storici hanno dato della teoria del calorico [5] o della possibilità di ridurre la nuova chimica del 1700 alla fisica [7], ma è quello di mostrare che si può interpretare un testo come la Mémoire basandosi su elementi linguistici e formali (di logica matematica), indipendenti dalle premesse interpretative dei vari studiosi di storia della chimica. “Hegel’. the well-known hypothesis about the constitution of gases), is here analyzed in such terms. 32 no. textbook physical notion of reversibility in thermodynamics, i.e. Let us apply these kinds of logic, “acquitted owing to insufficient evidence of guilt”. A comparative, A re-visitation 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. An historical case, Avogadro's contribution to atomism (i.e. Since formal logic has no quantitative aspect, and mathematics has no qualitative aspect, the union (join, conjunction, combination, synthesis) of formal logic and mathematics is a gross methodological error. © 2008-2021 ResearchGate GmbH. h�b```b``��������A��bl,�AE:�2>`�Ԡ���#�E�1(�ˠ� ~�w˂ҵs�m=�=� �GD� ���:��}��yTN`�LC����E"��. Sexuality (red) fades and is transformed through blue into seduction, into an aesthetic dimension. the best henological prayer; when few more DNSs are added, it acquires full consistency in non-classical logic. Le Viatique II. <]/Prev 160892/XRefStm 1458>> (2) Mathematics and mathematical (symbolic) logic abolishes (deletes) essence (central point) of formal logic: concept and proposition (as a logical form of verbal expression (statement) of thought). Therefore, the use of these symbols in mathematical (quantitative) expressions is a gross mistake. one has to find out the suspension point at a different level (put at a proportional height to their distance). 0000011182 00000 n 646.676 (in Russian; Engl. Cusanus's reasoning according to non-classical logic. Horn [2002], p. 82ff. Essays on the Foundations of Mathematics and Logic. This rule was illustrated by the divine, occurs through an interpretation of the two positions, which are only apparently mutually, Réflexions sur la puissance motrice du feu, Individuum und Kosmos in der Philosophie der Renaissance. Please, write you your interest field of research and I will answer on what I studied in this field. In order to support this new logical structure, I investigate on the rich legacy of the nonclassical arguments presented by ingenuity by several authors of scientific theories. Afterwards, this conclusion is changed in the corresponding affirmative predicate, which in the latter part plays the role of a new hypothesis for a deductive development. Nicholas of Cusa did, philosophical thinking is offered by D. V, clear conception of the contraposition of True and False in classical logic as the parallel contraposition of Good and, Evil in ethics. tr. a “quasi-static process”. 0000004252 00000 n Kolmogoroff and the Relevance of the Double Negation Law in, A. Drago [2008a]: “Nicolò Cusano come punto di svolta per la nascita della scienza, A. Drago [2008b]: “La filosofia di Dio di Lanza del V, metodo di analisi logica”, in A. Drago and P, A. Drago [2009]: “Nicholas of Cusa’s logical way of ar. See my paper. Here Cusanusaddresses the four categorical realities traditionally found inChristian thought: God, the natural universe, Christ and humanbeings.

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