Multialgebras have been much studied in mathematics and in computer science. In 2016 Carnielli and Coniglio introduced a class of multialgebras called swap structures, as a semantic framework for dealing with several Logics of Formal Inconsistency that cannot be semantically characterized by a single finite matrix. In particular, these LFIs are not algebraizable by the standard tools of abstract algebraic logic. In this paper, the first steps towards a theory of non-deterministic algebraization of logics by swap structures are given. Specifically, (...) a formal study of swap structures for LFIs is developed, by adapting concepts of universal algebra to multialgebras in a suitable way. A decomposition theorem similar to Birkhoff’s representation theorem is obtained for each class of swap structures. Moreover, when applied to the 3-valued algebraizable logics J3 and Ciore, their classes of algebraic models are retrieved, and the swap structures semantics become twist structures semantics. This fact, together with the existence of a functor from the category of Boolean algebras to the category of swap structures for each LFI, suggests that swap structures can be seen as non-deterministic twist structures. This opens new avenues for dealing with non-algebraizable logics by the more general methodology of multialgebraic semantics. (shrink)

Reedition of papers in English spanning from 1986 to 2009 /// Historical background -- An imposed legacy -- Twentieth century contemporaneity -- Appendix: The philosophy of teaching legal philosophy in Hungary /// HISTORICAL BACKGROUND -- PHILOSOPHY OF LAW IN CENTRAL & EASTERN EUROPE: A SKETCH OF HISTORY [1999] 11–21 // PHILOSOPHISING ON LAW IN THE TURMOIL OF COMMUNIST TAKEOVER IN HUNGARY (TWO PORTRAITS, INTERWAR AND POSTWAR: JULIUS MOÓR & ISTVÁN LOSONCZY) [2001–2002] 23–39: Julius Moór 23 / István Losonczy 29 // (...) ON THE SURVIVAL OF ILMAR TAMMELO’S LETTER AND MANUSCRIPT ADDRESSED TO PROFESSOR MOÓR [2009] 41–44 // PROFESSIONAL DISTRESS AND SCARCITY: ALEXANDER HORVÁTH AND THE LEGACY OF NATURAL LAW IN HUNGARY [2005] 45–50 // HUNGARIAN LEGAL PHILOSOPHY IN THE 20TH CENTURY [2011] 51–72: I. The Pre-war Period [1. Bódog (Felix) Somló (1871–1920) 52] / II. The Inter-war Period [2. Gyula (Julius) Moór (1888–1950) 54 / 3. Barna Horváth (1896–1973) 55 / 4. József Szabó (1909–1992) 57 / 5. István Bibó (1911–1979) 58 / 6. Tibor Vas (1911–1983) 59 / 7. István Losonczy (1918–1980) 60] III. The Post-war Period (Communism) 61 [8. Imre Szabó (1912–1991) 62 / 9. Vilmos Peschka (1929–2006) 63 / 10. Kálmán Kulcsár (1928–2010) 65] IV. Contemporary Trends and Perspectives 66 [11. Csaba Varga (b. 1941) 66 / 12. András Sajó (b. 1949) 69 / 13. Béla Pokol (b. 1950) 70] V. Our Understanding of the Law Today 71 --- AN IMPOSED LEGACY -- LOOKING BACK [1999] 75–94: 1. On Ideologies and Marxism in general 75 / 2. Life of an Intellectual in Communism 79 / 3. On Marxism and its Socialist Cultivation in Particular 82 / 4. Legal Philosophising [4.1. Approaches to Law 87 / 4.2. Arriving at a Legal Ontology 91] 5. Conclusion 94 // LEGAL PHILOSOPHY OF THE MARXISM OF SOCIALISM: HUNGARIAN OVERVIEW IN AN INTERNATIONAL PERSPECTIVE [2003] 95–151: I. Development and Balance of Marxist Philosophising on Law in Hungary [1. Preliminaries (until 1948) 96 / 2. Stalinism (from the Soviet Occupation on) {a) Liquidation of the »Residues« 98 / b) Soviet-type Uniformisation [Gleichschaltung] 99 / c) Denial of the Past, with a Dual Effect 99 / d) »Socialist Legality«, Drawn from the Progressive Past of Western Europe 103 / e) Search for the Germs of Scholarly Evolution 103} 3. Institutionalisation Accompanied by Relaxation (from the 1960s) [a) Epigonism Becoming the Scholarly Ideal 104 / b) Stalinism in a Critical Self-perspective 105 / c) Disciples Diversified Launching their own Trends 107 / d) Comparatism 110 / e) (Re)discovery of the Western Legal Philosophy as a Competitor 112 / f) A Leading Mediatory Role within the »Socialist World Order« 114} 4. Disintegration (in the 1980s) {a) Attempt at Laying New Foundations for Marxism with Epigonism Exhausted 115 / b) Competitive Trends Becoming Exclusive 115 / c) Western Legal Philosophy Acknowledged as a Fellow-traveller within the Socialist Orbit Proper 116 / d) Hungarian Legal Theory Transforming into a National Corpus 118 / e) The Practical Promotion of Some Balance 119} 5. End-game for a Substitute State Religion (in the 1990s) 120] II. Marxist Legal Philosophising in an International Perspective [Ad 1: To the Preliminaries 122 / Ad 2: To Stalinism 124 / Ad 3: To Institutionalisation Accompanied by Relaxation {a) Late Separation from Vishinskiy’s Theory 125 / b) From Ideological Self-closure to an Apparently Scholarly Openness 127 / c) From Political Ideology to Genuine Scholarship 130 / d) International Recognition of Socialist Jurisprudence as an Independent Trend 135 / e) Together with Western Trends 137} Ad 4: To Disintegration {a) Loss of Attraction as Mere Epigonism 139 / b) Exclusivity of Competing Trends 139 / c) Fellowship with »Bourgeois« Trends 140 / d) An own Trend, Internationally Recognised 141 / e) A yet Progressive Role 142} Ad 5: To the Present state 143] III. A Temporary Balance 145 // AUTONOMY AND INSTRUMENTALITY OF LAW IN A SUPERSTRUCTURAL PERSPECTIVE [1986] 151–175: 1. The Strange Fate of Concepts 151 / I. A Relational Category 2. Basis and Superstructure: The Genuine Meaning 154 / 3. Exerting Social Influence as a Conceptual Minimum 156 / 4. Relationships within the Prevailing Totality 158 / 5. Attempts at Interpretation in Hungary 159 / 6. The Lukácsian Stand 162 / 7. Lukács’s Recognitions 168 / 8. Some Criticism 169 / II. The Law’s Understanding 171 / 9. Law Interpreted as Superstructure 171 / 10. Conclusions Drawn for the Law’s Understanding 173 // LEGAL THEORY IN TRANSITION (A PREFACE FROM HUNGARY) [2000] 177–186 // DEVELOPMENT OF THEORETICAL LEGAL THOUGHT IN HUNGARY AT THE TURN OF THE MILLENNIUM [2006] 187–215: 1. International Environment 188 / 2. The Situation in Hungary 190 / 3. Outlook I: The Historical-comparative Study of Legal Cultures and of the Lawyerly Way of Thinking 203 / 4. Outlook II: The Paradigmatic Enigma of the Transition to Rule of Law 207 / 5. Incongruity in Practice 213 / 6. Perspectives 214 --- TWENTIETH CENTURY CONTEMPORANEITY -- CHANGE OF PARADIGMS IN LEGAL RECONSTRUCTION: CARL SCHMITT AND THE TEMPTATION TO FINALLY REACH A SYNTHESIS [2002] 219–234: 1. Dangers of Intellectualism 219 / 2. Schmitt in Facts 221 / 3. Schmitt and Kelsen 222 / 4. On Bordering Conditions 226 / 5. With Kelsen in Transubstantiation 230 / 6. Polarisation as the Path of Theoretical Development 232 // KELSENIAN DOCUMENTS IN HUNGARY: CHAPTERS ON CONTACTS, INCLUDING THE GENESIS OF AUTOBIOGRAPHY [2006] 235–243: 1. Preludes 235 / 2. The Search for Moór’s Bequeath 235 / 3. Moór’s Collegiality 238 / 4. Bibó as a Disciple Translating 241 // THE »HART-PHENOMENON« [2002] 245–267: I. The Hart-miracle 246 [1. The Scene of Britain at the Time 247 / 2. The Personal Career 250 / 3. The Opus’ Career 252 / 4. Verbal Sociologism 255 / 5. Growing into the British Pattern 259] II. The Hart-phenomenon 260 [6. Origination of a Strange Orthodoxy 261 / 7. Mastering Periods of the 20th Century 263 / 8. Raising the Issue of Reception in Hungary 365] // LITERATURE? A SUBSTITUTE FOR LEGAL PHILOSOPHY? [2007] 269–287: 1. The Enigma of Law and its Study 269 / 2. “Law and Literature” 271 / 3. Varieties of “Law and Literature” 274 / 4. The German Study of Artistic Representations 280 / 5. Some Literary Reconsiderations 285 / 6. Conclusion 287 --- APPENDIX -- THE PHILOSOPHY OF TEACHING LEGAL PHILOSOPHY IN HUNGARY [2007] 291–320: I. Why and How to Philosophise in Law? 291 / II. The State of Teaching Legal Philosophy 294 / III. The Philosophy of Teaching Legal Philosophy 296 / IV. Programme at the Catholic University of Hungary 300 [1. Graduate Studies 300 {a) Basic Subjects 301 / b) Facultative Seminars 305 / c) Closing Subjects 309 / d) Written Memoranda and the Thesis 312} 2. Postgraduate Studies 313 / 3. Conclusion 317] V. Perspectives 318 /// Index of Subjects 321 / Index of Normative Materials 328 / Index of Names 329 . (shrink)

The essay offers an original view on the issues of identity and self-identification. Self-identification is being studied in the process of its implementation in different time flows. Two directions of thought (to the past and the future) which are defined according to Hameroff»s hypothesis as the bi-directional time flows, constitute the concept of a dream. Using this concept, the author explains how self-identification is realized in two time flows. The strategy of self-identification is explained using a stochastic algorithm which balances (...) the present and the future states at the same stage. The Kalman filter is used as the stochastic algorithm. (shrink)

Self-identification strategy is presented so that a being identify itself wherein a subject is not an outer observer. A being is able to observe as a subject and be observed as an object. Thus, self-identification could be realized because a being acts to observe and be observed. A being is supposed to consist of spatio and temporal identities. They are considered to provide a basis of respective a spatio object to be observed and a temporal subject to observe. Two thought (...) experiments are presented for self-identification. In the first place, self-identification is explained by using the Out-of-Boddy experiences in no time flows. Secondly, a dream in a dream is provided to reveal a self-identification strategy in time flows. For this, dream is described by bi-directional movements in time flows. A teleological philosophy from the Aristotelian paradigm insists that the future decides the past which is thought to be the source of potentiality. Accordingly, the Aristotelian paradigm is modified to include the concept of a dream between the future and the past so that the reason why versatile a priori being such as Schrödinger's cat is created is explained and how they are distinguished among ontological potentiality by a teleological causation. (shrink)