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Journal articles on the topic 'Dialectical logic'

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Published: 4 June 2021

Last updated: 11 February 2022

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1

Kuehne, Tobias. "Nietzsche and the rhetoric of dialectics." Journal of European Studies 48, no. 2 (April 16, 2018): 115–32. http://dx.doi.org/10.1177/0047244118767814.

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Despite Nietzsche’s frequent disavowals of Hegelianism, scholars have repeatedly stressed Nietzsche’s affinities with Hegelian dialectics. Other scholars have responded by denying such affinities. Taking On the Genealogy of Morality as a case study and comparing it to the paradigmatically Hegelian A Contribution to the Critique of Hegel’s Philosophy of Right by Marx, this article argues that the question of whether or not Nietzsche is a dialectician unduly narrows the scope that Nietzsche envisioned for philosophy. For Nietzsche, a certain mode of philosophizing (dialectical or otherwise) becomes activated within a rhetorical matrix. Marx sees dialectics as the inexorable logic of history, but has to rely on the rhetorical persuasiveness of the chiasmus to make his claim plausible. Nietzsche, on the other hand, conceives of two incompatible logics: the nobles’ positive affirmation (non-dialectical) and the priests’ negative oppositionality (enabling dialectics). Instead of arguing for one logic over another, Nietzsche foregrounds their rhetoricity by performing the historically contingent invigoration and desiccation of each, leaving it to the reader to assimilate whichever mode of philosophizing they find most plausible.

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2

Lucash, Frank. "Spinoza's Dialectical Method." Dialogue 34, no. 2 (1995): 219–36. http://dx.doi.org/10.1017/s0012217300014682.

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Errol Harris talks about a crypto-dialectic method that lies behind the geometrical disguise of Spinoza'sEthics.Spinoza's method, he argues, is not the linear formal deduction of traditional logic but a crypto-dialectical development of the structural implications of a systematic whole. Substance differentiates itself into infinite attributes and infinite modes. Each attribute is self-differentiated into a hierarchy of modes ranging from the most complex to the simplest. Harris calls this a dialectical scale or a crypto-dialectical development of the structural implications of a systematic whole. The self-specification of the whole into attributes and modes provides the framework for a dialectical system. Spinoza's hypotheses (propositions) are implications dialectically derived from his concept of substance, a concept of a whole which differentiates itself into infinite attributes and modes. Substance is not a hypothesis but is a postulate which s i absolutely certain. Everything follows from substance with dialectical necessity. Substance is the origin of all things and ideas.

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3

Priest, G. "Review: Hegel's Dialectical Logic." Mind 111, no. 443 (July 1, 2002): 643–46. http://dx.doi.org/10.1093/mind/111.443.643.

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4

Jiang, Yaozhi. "Dialectical Logic and Boolean Algebra." Journal of Mathematics Research 11, no. 2 (March 15, 2019): 92. http://dx.doi.org/10.5539/jmr.v11n2p92.

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Dialectical logic was founded by German famous philosopher F. Hegel, but it has not been laid on mathematics for a long time. In this paper author explains the dialectical logic pure mathematically, and shows that the classic formal logic, its mathematical expression is Boolean algebra(includes multiple value system), is a special case from dialectical logic, and the true-valued function for dialectical logic is a continuous function valued on closed interval  and defined on time-space axes system. The Aristotle three laws of formal logic are expanded into expression of dialectical logic, and Russell paradox is expanded into the case of multiple order. Some new theorems for Boolean operators and the matrix expression for De Morgan’s theorem of multiple variables dialectical logic are given. At the end of the paper, linear or nonlinear dialectical logic are defined and analysis properties of dialectical logic true-valued function are pointed. 

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5

Goeglein, Tamara A. "“Wherein hath Ramus been so offensious?”: Poetic Examples in the English Ramist Logic Manuals (1574-1672)." Rhetorica 14, no. 1 (1996): 73–101. http://dx.doi.org/10.1525/rh.1996.14.1.73.

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Abstract: The logic manuals of Peter Ramus (Pierre de la Ramée, 1515-72) enjoyed a wridespread pedagogical sueeess in the sixteenth and seventeenth centuries, especially in Protestant England. Historians of dialectical studies have judged these manuals, and Ramist dialectic more generally, as purveying a vitiated form of Aristotelian logic because the manuals cite examples frem poetry to illustrate logical principles and axioms. The semantics of Ramist method, however, blurs the neat line between literal and figurative language. A semiotie analysis of Ramist dialectic suggests that the oppesitien between logical discourse and poetic discourse is net stable and that Ramist logie is fundamentally representative or “poetic.”

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6

Collinge, Chris. "Positions without Negations? Dialectical Reason and the Contingencies of Space." Environment and Planning A: Economy and Space 40, no. 11 (November 2008): 2613–22. http://dx.doi.org/10.1068/a40272.

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The dialectical tradition that derives from Hegel and Marx has been very influential within social science, flowing into human geography from the early 1970s through the work of Lefebvre and Harvey. In their different ways these two scholars sought to extend dialectical logic to encompass the contingencies of space, and it is in this context that their seminal contributions to scale analysis can be understood. Since the 1980s, however, confidence in the dialectical tradition has been undermined by poststructural philosophers such as Derrida—who (whilst being careful to avoid simply negating Hegelian dialectics) has exposed the nontotalisable structure of contingency that both subtends and subverts dialectical reason. In this paper I draw upon Derrida's treatment of contingency, and explore the nondialectical ‘foundations’ of dialectical logic through a reading of Neil Smith's 1984 book on Uneven Development (Blackwell, Oxford), a classic text from Marxist geography which was the first to articulate a fully theorised scale framework.

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7

Jiang, Yaozhi. "Atomic Proposition and 1-Order Predicate Function for Dialectical Logic." Journal of Mathematics Research 11, no. 3 (May 13, 2019): 50. http://dx.doi.org/10.5539/jmr.v11n3p50.

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This paper has completed main fields of making dialectical logic pure mathematically, it is involved both atomic proposition and 1-order predicate function for dialectical logic, and by state-dual, true-valued function vector, state-contradiction law into basic logic law. In addition, also defines true-valued function for logic operators so that more easy to represent atomic proposition. Some examples are given and shown that Boolean algebra, as a special case of dialectical logic, is how to operate hybridize-able with dialectical logic.

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8

Jonkus, Dalius. "Vasily Sesemann’s Theory of Knowledge: Intuition, Logic and Dialectic." Problemos 98 (October 23, 2020): 21–32. http://dx.doi.org/10.15388/problemos.98.2.

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Nicolai Hartmann interprets the logic of knowledge as a dialectical process that must reveal the processionality of being itself. Sesemann not only extends Hartmann‘s philosophical insights, but also supplements them significantly. He also understands the knowledge of reality not as an analysis of static objects, but as a dynamic and temporal reconstruction of becoming reality. Acknowledging the limitations of intuition, he returns to the possibilities of logically formed knowledge. Sesemann argues that the logical constructions of knowledge must maintain a connection with primal intuition. However, logically formed knowledge is limited by its static nature. A dialectic is needed to reveal a dynamically changing being. I will begin the article by discussing the relationship between intuition and logical knowledge, then examine the problem of the ideal being and conclude by evaluating the significance of dialectics in Sesemann’s theory of knowledge. According to Sesemann, the dialectic, unlike formal logic, must reveal not the ideal laws of thought, but how live knowledge takes place. Dialectics allows one to analyze being as incomplete and indefinite, as becoming and open to infinite change, it allows one to relate a separate aspect of knowledge to the whole.

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9

Reuten, Geert. "The Interconnection of Systematic Dialectics and Historical Materialism." Historical Materialism 7, no. 1 (2000): 137–65. http://dx.doi.org/10.1163/156920600100414669.

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AbstractThis paper discusses some recent developments in the Marxian theory of value, called value-form theory, which have gone along with a methodological shift from a linear logic and historical dialectics to a dialectical logic and systematic dialectics. In order to appreciate these developments within the Marxian paradigm, it is useful to make two introductory remarks: first, on some peculiarities of Marxian discourse and, second, about discrepancies in Marx's Capital.

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10

Veraksa, N. E. "Dialectical Thinking: Logics and Psychology." Cultural-Historical Psychology 15, no. 3 (2019): 4–12. http://dx.doi.org/10.17759/chp.2019150301.

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The article is devoted to the relation of logic and psychology of dialectical thinking. It provides three lines of understanding of dialectical thinking: dialectical thinking as a form of developing content, based on the resolution of oppositions; dialectical thinking as postformal stage of intelligence; dialectical thinking as a form of operating relationships of the opposites. Each approach has its own applications to the organization of educational practice. The first approach is presented by the works of E.V. Il'enkov, B.M. Kedrov, P.V. Kopnin and other authors. On a meaningful understanding of dialectics V.V. Davydov developed his methodology of developmental learning. The second approach in the study of dialectical thinking was largely shaped by J.Piaget’s operational concept of the intellect. K. Riegel argued that the development of thinking cannot stop at the stage of formal operations. Later on, the subject develops a more complex form of cognition — dialectical thinking. Representatives of the postformal understanding of dialectical thinking apply it in trainings for the development of professional thinking in adult subjects as well as in psychotherapy. In Russian psychology it has been shown that dialectical thinking acts as the individual’s independent ability to operate with opposites that can be developed starting from preschool age.

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11

Axtell, G. S. "Comparative Dialectics: Nishida Kitaro's Logic of Place and Western Dialectical Thought." Philosophy East and West 41, no. 2 (April 1991): 163. http://dx.doi.org/10.2307/1399768.

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12

Brincat, Shannon. "Negativity and Open-Endedness in the Dialectic of World Politics." Alternatives: Global, Local, Political 34, no. 4 (October 2009): 455–93. http://dx.doi.org/10.1177/030437540903400405.

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This article illustrates the importance of negativity within the dialectical method, aiming to bring clarity to what has been rendered unnecessarily mystical within recent revisions of dialectics, particular in the conception of “meta-dialectics.” The negative element in dialectics, where in the movement of sublation the subject remains undetermined and nonidentical, is argued to be the productive moment in the dialectical movement that leads to open-ended and ongoing processes of change. The article argues that considerable conceptual difficulties arise if one attempts to counterpose negative dialectics to positive dialectics and particularly in interpretations of Hegel's Logic and Adorno's Negative Dialectics that attempt to do so. The two moments of positivity and negativity are shown to be mutually related. If conceived in this manner, dialectical analysis can provide radical insights into processes of social change in world politics that are, and remain, open ended.

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13

Jiang, Yaozhi. "Dialectical Logic K-Model: A Mathematical Model for Machine." Journal of Mathematics Research 9, no. 6 (October 27, 2017): 82. http://dx.doi.org/10.5539/jmr.v9n6p82.

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An axiom system for dialectical logic K-model which based on Kirchhoff energy-method is established by author in the paper. The author describes that subjective-laws is the mirror imagine reflected from objective-laws and defines that the three-step which named by sensation, abstraction and thinking in artificial intelligence. At same time, describes that axiom system for dialectical logic K-model, in which contains such as logic-variable energy conservation law, Mozi’s principle( mini-max principle) and forbidden law, etc. In the axiom system also contain such as a continuous true-value-function system valued on interval and the K-graph for logic-variable. And describes the giving value method by matrix based on K-graph satisfied Kirchhoff laws to the logic variable. The author describes simply the linear and nonlinear logic variable system. And describes simply the logic variable involved three-dimension Euclidean space and topology networks space separately. Dialectical logic K-model would supply an computation algorithm idea for machine so that the machine is able to think by dialectical logic method, thus an important information-treated method maybe the dialectical logic.

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14

Usó Doménech, José, Josué Nescolarde-Selva, and Lorena Segura-Abad. "Dialectical Multivalued Logic and Probabilistic Theory." Mathematics 5, no. 1 (February 23, 2017): 15. http://dx.doi.org/10.3390/math5010015.

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15

Kazumi, Inoue. "Dialectical Contradictions and Classical Formal Logic." International Studies in the Philosophy of Science 28, no. 2 (April 3, 2014): 113–32. http://dx.doi.org/10.1080/02698595.2014.932526.

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16

Button, Peter. "Negativity and Dialectical Materialism: Zhang Shiying's Reading of Hegel's Dialectical Logic." Philosophy East and West 57, no. 1 (2007): 63–82. http://dx.doi.org/10.1353/pew.2007.0002.

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17

Alker, Hayward R. "The Dialectical Logic of Thucydides' Melian Dialogue." American Political Science Review 82, no. 3 (September 1988): 805–20. http://dx.doi.org/10.2307/1962492.

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If the realist tradition has underappreciated the formalizable quality of Thucydides' scientific investigations, neorealist teachers and writers have generally failed to see the normative and dramatical features of Thucydides' political science, each an expression of his dialectical epistemology and ontology. Nicholas Rescher's partial formalization of dialectics as a controversy-oriented approach to knowledge cumulation and Kenneth Burkes dramaturgical approach to textual understanding are both shown to fit Thucydides' argumentation in the Melian dialogue. Thus argumentation produces new knowledge about the inner determinants of Athenian imperialism; simultaneously it dramatically reveals the constituting practical rationale of Athenian actions to be unjust. Once Thucydides' determining essences of power politics are properly uncovered, their false “eternal, mathematical necessity” can be appropriately criticized. A case is thus suggested for a “neoclassical polimetrics” more fundamentally grounded in “political argumentation” about practical choices in particular contexts than in ahistorical laws, inductive statistics or deductive mathematics.

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18

Vrhovski, Jan. "A Few Important Landmarks in the Chinese Debates on Dialectical and Formal Logic from the 1930s." Asian Studies 9, no. 2 (May 7, 2021): 81–103. http://dx.doi.org/10.4312/as.2021.9.2.81-103.

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With the rise of the discourse on dialectical materialism in the late 1920s, ideas related to the Marxist notion of dialectical logic started to circulate in the Chinese intellectual world. Not long after the first public discussions on dialectical materialism started to emerge in the early 1930s, the discussants on both sides started to address the question of the Marxist notion of logic and its relationship with Western formal logic. Consequently, over the 1930s, a series of separate public debates ensued, in which dialectical logic contended against the “conventional” forms of logic, such as traditional Aristotelian and modern formal logic. This paper outlines the major landmarks within the public as well as internal Marxist debates on logic in the 1930s. The discussion starts with a general overview of the intellectual background of the debates, and proceeds by analysing the principal developments in them, starting with Ye Qing’s and Zhang Dongsun’s polemic about “dynamic logic” from 1933, and concluding with the internal Marxist discussions on the sublation of formal logic in the last years of the decade.

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19

Usó Doménech, José Luis, Josué Antonio Nescolarde-Selva, Lorena Segura-Abad, and Mario Sabán. "Dialectical logic for mythical and mystical superstructural systems." Kybernetes 48, no. 8 (September 2, 2019): 1653–80. http://dx.doi.org/10.1108/k-03-2018-0110.

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Purpose The doctrine of coincidentia oppositorum (the coincidence of opposites), the interpenetration, interdependence and unification of opposites has long been one of the defining characteristics of mystical (as opposed to philosophical) thought. Mystics of various persuasions have generally held that such paradoxes are the best means of expressing within language, truths about a whole that is sundered by the very operation of language itself. Any effort, it is said, to analyze these paradoxes and provide them with logical sense is doomed from the start because logic itself rests upon assumptions, such as the principles of non-contradiction and excluded middle, that are violated by the mystical ideas. Design/methodology/approach Mathematical development of a dialectical logic with truth-values in a complex field. Findings The coincidentia oppositorum is a common trope in many religious traditions, particularly those with a mystical or initiatory aspect, and fields of knowledge such as Psychology and Quantum Physics, with wave-particle duality. The aim of this paper is to present a mathematical theory of the coincidence of opposites, and where truth-values are expressed in a complex field. A propositional coincidentia oppositorum algebra is developed. Originality/value Although the literature of paraconsistent logics is abundant, the authors think that this is the first time that a dialectical logic has been developed with truth-values belonging to a complex field. The impossibility of reaching an absolute truth from opposite propositions is discovered, both being true, because of the existence of irrational numbers in the truth-values.

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20

Winczewski, Damian. "Dialektyka wiedzy logikomatematycznej w ujęciu Jarosława Ładosza." Studia Philosophica Wratislaviensia 15, no. 4 (March 31, 2021): 27–47. http://dx.doi.org/10.19195/1895-8001.15.4.2.

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The aim of the article is an analysis of the early works of Jarosław Ładosz, a Polish philosopher and mathematician, who in the 1960s conducted a thorough examination of the most important scientiﬁc accomplishments in the ﬁeld of logic and mathematics from the perspective of Marxist philosophy. Being nowadays assessed as a symbol of dogmatism and orthodoxy in Polish Marxism, Ładosz revised most of the superstitions on the relationship between mathematical logic and dialectics, which have been legitimized in oﬃcial Marxist philosophy since the times of Marx and Engels, in his early works. Having rejected the claims of some Marxists for the formalization of dialectics, he presented the original concept of dialectics as a methodological tool for studying the sources of logical knowledge. Combining dialectical materialism with Jean Piaget’s epistemology, he formulated an elaborate, original hypothesis of the social construction of logico-mathematical knowledge, while at the same time transcending the subject-object division as-sumed in Marxist dogmatic epistemology.

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21

Amidei, Jacopo, Uri Andrews, Duccio Pianigiani, Luca San Mauro, and Andrea Sorbi. "Trial and error mathematics: Dialectical systems and completions of theories." Journal of Logic and Computation 29, no. 1 (November 26, 2018): 157–84. http://dx.doi.org/10.1093/logcom/exy033.

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AbstractThis paper is part of a project that is based on the notion of a dialectical system, introduced by Magari as a way of capturing trial and error mathematics. In Amidei et al. (2016, Rev. Symb. Logic, 9, 1–26) and Amidei et al. (2016, Rev. Symb. Logic, 9, 299–324), we investigated the expressive and computational power of dialectical systems, and we compared them to a new class of systems, that of quasi-dialectical systems, that enrich Magari’s systems with a natural mechanism of revision. In the present paper we consider a third class of systems, that of $p$-dialectical systems, that naturally combine features coming from the two other cases. We prove several results about $p$-dialectical systems and the sets that they represent. Then we focus on the completions of first-order theories. In doing so, we consider systems with connectives, i.e. systems that encode the rules of classical logic. We show that any consistent system with connectives represents the completion of a given theory. We prove that dialectical and $q$-dialectical systems coincide with respect to the completions that they can represent. Yet, $p$-dialectical systems are more powerful; we exhibit a $p$-dialectical system representing a completion of Peano Arithmetic that is neither dialectical nor $q$-dialectical.

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22

Vlasits, Justin. "Pyrrhonism and the Dialectical Methods." History of Philosophy and Logical Analysis 23, no. 1 (September 8, 2020): 225–52. http://dx.doi.org/10.30965/26664275-02301013.

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Abstract The aim of this paper is to show how Outlines of Pyrrhonism II constitutes an original, ambitious, and unified skeptical inquiry into logic. My thesis is that Sextus’ argument in Book II is meant to accomplish both its stated goal (to investigate the topics typically grouped together by dogmatists under the heading of “logic”) and an unstated goal. The unstated goal is, in my view, interesting in itself and sheds new light on Sextus’ methodology. The goal is: to suspend judgement on the effectiveness of dogmatic methodologies.

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Usó-Doménech, José, Josué Nescolarde-Selva, and Lorena Segura-Abad. "Proposal for the Formalization of Dialectical Logic." Mathematics 4, no. 4 (December 11, 2016): 69. http://dx.doi.org/10.3390/math4040069.

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24

Winfield, Richard Dien. "Dialectical Logic and the Conception of Truth." Journal of the British Society for Phenomenology 18, no. 2 (January 1987): 133–48. http://dx.doi.org/10.1080/00071773.1987.11007801.

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25

Erismann, Christophe. "The Logic of Being: Eriugena's Dialectical Ontology." Vivarium 45, no. 2 (2007): 203–18. http://dx.doi.org/10.1163/156853407x217722.

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AbstractIn his major work, the Periphyseon, the ninth century Latin philosopher John Scottus Eriugena gives, with the help of what he calls "dialectic", a rational analysis of reality. According to him, dialectic is a science which pertains both to language and reality. Eriugena grounds this position in a realist ontological exegesis of the Aristotelian categories, which are conceived as categories of being. His interpretation tends to transform logical patterns, such as Porphyry's Tree or the doctrine of the categories, into a structure which is both ontological and logical, and to use them as tools for the analysis of the sensible world. The combination of dialectic interpreted as a science of being, capable of expressing truths about the sensible world as well as about discourse, with an ontological interpretation of logical concepts allows Eriugena to develop his metaphysical theory, a strong realism. Eriugena not only supports a theological realism (of divine ideas), but also, and principally, an ontological realism, the assertion of the immanent existence of forms. Eriugena claims that genera and species really subsist in the individuals: they are completely and simultaneously present in each of the entities which belong to them.

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Longaker, Mark Garrett. "John Locke on Inference and Fallacy, A Re-Appraisal." Informal Logic 34, no. 4 (December 10, 2014): 364. http://dx.doi.org/10.22329/il.v34i4.4133.

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John Locke, long associated with the “standard” approach to fallacies and the “logical” approach to valid inference, had both logical and dialectical reasons for favoring certain proofs and denigrating others. While the logical approach to argumentation stands forth in Locke’s philosophical writings (such as the Essay Concerning Human Understanding), a dialectical approach can be found in his contributions to public controversies regarding religion and toleration. Understanding Locke’s dialectical approach to argumentation not only makes his work more relevant to the contemporary discipline of informal logic, but this understanding also prompts a reconsideration of Locke’s rhetorical purpose. He approached argumentation dialectically (and logically) because he wanted to appeal to a universal audience of free rational subjects, people not unlike the real historical audience whom Locke addressed: radical Whigs, latitudinarian Anglicans, early-Enlightenment philosophes.

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Bocharova, A. V. "The binary opposition as the basis of logical development of dialogic communication in internet-forum." Cuadernos Iberoamericanos, no. 2 (June 28, 2015): 62–66. http://dx.doi.org/10.46272/2409-3416-2015-2-62-66.

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The article focuses on peculiarities of communication in forums of electronic periodicals from the perspective of dialectical logic, which allows supposing that today internet-communication is based on reducing of the standard dialectical triad «thesis-antithesis-synthesis» to the binary opposition «thesis- antithesis». Much attention is given to the typological differentiation between polemical and dialectic dialogue, as well as the concretization of the concept «forum» at this stage of development of the information society. This direction of the investigation is complemented by the definition of a binary method as one of the main mechanism of cognition.

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Beckett, Stephen J. "The Logic of the Design Problem: A Dialectical Approach." Design Issues 33, no. 4 (October 2017): 5–16. http://dx.doi.org/10.1162/desi_a_00470.

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This article analyzes the logic of the design problem by using a Hegelian dialectical approach. It begins by identifying the logical paradox at the heart of the design problem and clarifying the method of dialectical logic, and then applies this logic to the design problem by demonstrating how problems and solutions emerge simultaneously as “moments” of a single concept. Finally, the designer's role as a “speculative reader” in the process is briefly considered.

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Goncharov, Vitaly Viktorovich, Nurgun V. Afanasev, Elena A. Sverdlikova, Tatiana N. Mikhaleva, Grigory A. Vasilevich, and Jacek Zalesny. "The use of the dialectical method as a theory for understanding social change in the philosophy of global constitutionalism." LAPLAGE EM REVISTA 7, Extra-A (May 10, 2021): 385–94. http://dx.doi.org/10.24115/s2446-622020217extra-a827p.385-394.

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This article is devoted to the conceptual analysis of the dialectical method for understanding social change in the philosophy of global constitutionalism. The purpose of the research: from the position of socio-philosophical methods of cognition of social reality and ideas reflecting it, to analyze the dialectic model in the doctrine of social changes in the philosophy of global constitutionalism. An analysis of the dialectical method as a theory for understanding social change in the philosophical concept of global constitutionalism has shown that: in the process of its formation, the Hegelian concept of dialectical development and the dialectical materialism of the Marxist-Leninist type, including its basic laws; it is aimed at developing a system of arguments to justify the natural evolutionary nature of the origin of the world capitalist system; the process of removing the qualitatively heterogeneous opposites accumulated in the process of social development is also subordinate to the general logic of the development of the world capitalist system.

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Heidemann, Dietmar H. "Hegel on the Nature of Scepticism." Hegel Bulletin 32, no. 1-2 (2011): 80–99. http://dx.doi.org/10.1017/s0263523200000173.

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In the Encyclopaedia Logic, Hegel states that ‘philosophy … contains the sceptical as a moment within itself — specifically as the dialectical moment’ (§81, Addition 2), and that ‘scepticism’ as ‘the dialectical moment itself is an essential one in the affirmative Science’ (§78). On the one hand, the connection between scepticism and dialectic is obvious. Hegel claims that scepticism is a problem that cannot be just removed from the philosophical agenda by knock-down anti-sceptical arguments. Scepticism intrinsically belongs to philosophical thinking; that is to say, it plays a constructive role in philosophical thinking. On the other hand, scepticism has to be construed as the view according to which we cannot know whether our beliefs are true, i.e., scepticism plays a destructive role in philosophy no matter what. It is particularly this role that clashes with Hegel's claim of having established a philosophical system of true cognition of the entirety of reality. In the following I argue that for Hegel the constructive and the destructive role of scepticism are reconcilable. I specifically argue that it is dialectic that makes both consistent since scepticism is a constitutive element of dialectic.In order to show in what sense scepticism is an intrinsic feature of dialectic I begin by sketching Hegel's early view of scepticism specifically with respect to logic and metaphysics. The young Hegel construes logic as a philosophical method of human cognition that inevitably results in ‘sceptical’ consequences in that it illustrates the finiteness of human understanding. By doing so, logic not only nullifies finite understanding but also introduces to metaphysics, i.e., the true philosophical science of the absolute.

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Chan, Shui-fun F. "Formal logic and dialectical thinking are not incongruent." American Psychologist 55, no. 9 (2000): 1063–64. http://dx.doi.org/10.1037/0003-066x.55.9.1063.

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Morgan, Brandon L. "Love as the Logic of Reconciliation in Hegel." Philosophy and Theology 30, no. 1 (2018): 59–78. http://dx.doi.org/10.5840/philtheol201882796.

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This essay explores the significance of Hegel’s considerations of love for his later dialectical philosophy in order to bring to attention love’s continued import as a category of logical and theological unity and reconciliation. A lingering question for Hegel scholarship is why he seemingly drops the unifying notion of love in his more developed dialectical philosophy, choosing instead to expound a philosophy of the concept that solely grants to reason the task of dialectical recovery. On my reading, this interpretation suffers from a failure to imagine Hegel’s early writings on love as contributing to the working out of his later dialectical logic and philosophy of spirit, specifically in terms of the unifying and reconciling principle of Vernunft (reason) in contrast to Verstand (understanding). Furthermore, Hegel’s substantial appeals to love in the later Lectures on the Philosophy of Religion show love's continued significance for him, not only as a logical but a theological principle of unity between finite and infinite spirit, a unity lost on the understanding alone. Reading Hegel’s Vernunft as a form of rationally reconciling love, therefore, shows a continuity in Hegel’s thinking that brings to bear Hegel’s later philosophical developments of reason and spirit on his philosophical theology.

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BOGAERTS, BART, and GUY VAN DEN BROECK. "Knowledge compilation of logic programs using approximation fixpoint theory." Theory and Practice of Logic Programming 15, no. 4-5 (July 2015): 464–80. http://dx.doi.org/10.1017/s1471068415000162.

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AbstractRecent advances in knowledge compilation introduced techniques to compilepositivelogic programs into propositional logic, essentially exploiting the constructive nature of the least fixpoint computation. This approach has several advantages over existing approaches: it maintains logical equivalence, does not require (expensive) loop-breaking preprocessing or the introduction of auxiliary variables, and significantly outperforms existing algorithms. Unfortunately, this technique is limited tonegation-freeprograms. In this paper, we show how to extend it to general logic programs under the well-founded semantics.We develop our work in approximation fixpoint theory, an algebraical framework that unifies semantics of different logics. As such, our algebraical results are also applicable to autoepistemic logic, default logic and abstract dialectical frameworks.

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Byrd, Jeremy. "The Dialectical Advantage of the Direct Argument." Erkenntnis 79, no. 2 (June 22, 2013): 431–44. http://dx.doi.org/10.1007/s10670-013-9503-y.

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Smith, Tony. "The Debate Regarding Dialectical Logic in Marx’s Economic Writings." International Philosophical Quarterly 30, no. 3 (1990): 289–98. http://dx.doi.org/10.5840/ipq199030314.

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Gaskins, Richard H. "The Structure of Self-Commentary in Hegel’s Dialectical Logic." International Philosophical Quarterly 30, no. 4 (1990): 403–17. http://dx.doi.org/10.5840/ipq199030434.

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He, Huacan, Yanquan Zhou, and Zhicheng Chen. "Research on Mathematical Dialectical Logic for Intelligent Information Processing." Proceedings 1, no. 3 (June 9, 2017): 149. http://dx.doi.org/10.3390/is4si-2017-03993.

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Woods, John. "Dialectical Considerations on the Logic of Contradiction: Part I." Logic Journal of the IGPL 13, no. 2 (March 1, 2005): 231–60. http://dx.doi.org/10.1093/jigpal/jzi016.

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Usó Doménech, José Luis, Josué Antonio Nescolarde-Selva, Hugh Gash, and Lorena Segura-Abad. "Dialectical logic for mythical and mystical superstructural systems (ii)." Kybernetes 48, no. 8 (September 2, 2019): 1851–70. http://dx.doi.org/10.1108/k-08-2018-0433.

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Purpose The distinction between essence and existence cannot be a distinction in God: in the actual infinite, essence and existence coincide and are one. In it, maximum and minimum coincide. Coincidentia oppositorum is a Latin phrase meaning coincidence of opposites. It is a neo-Platonic term, attributed to the fifteenth-century German scholar Nicholas of Cusa in his essay, Docta Ignorantia. God (coincidentia oppositorum) is the synthesis of opposites in a unique and absolutely infinite being. God transcends all distinctions and oppositions that are found in creatures. The purpose of this paper is to study Cusanus’s thought in respect to infinity (actual and potential), Spinoza’s relationship with Cusanus, and present a mathematical theory of coincidentia oppositorum based on complex numbers. Design/methodology/approach Mathematical development of a dialectical logic is carried out with truth values in a complex field. Findings The conclusion is the same as has been made by thinkers and mystics throughout time: the inability to know and understand the idea of God. Originality/value The history of the Infinite thus reveals in both mathematics and philosophy a development of increasingly subtle thought in the form of a dialectical dance around the ineffable and incomprehensible Infinite. First, the authors step toward it, reaching with their intuition beyond the limits of rationality and thought into the realm of the paradoxical. Then, they step back, struggling to express their insight within the limited scope of reason. But the Absolute Infinite remains, at the border of comprehensibility, inviting them with its paradoxes, to once again step forward and transcend the apparent division between finite and Infinite.

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GRECHKO, Mikhail V., and Larisa A. KOBINA. "The evolution of economic systems: The dialectics of regress." National Interests: Priorities and Security 17, no. 7 (July 15, 2021): 1296–325. http://dx.doi.org/10.24891/ni.17.7.1296.

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Subject. We herein examine, sort out and integrate economic knowledge to analyze systemic contradictions, which constitute necessary and sufficient conditions for the evolution of macrosystems. In this research, we draw upon the cognitive potential of the dialectical systemic-historical approach. Objectives. We examine the gradual transformation of complex subjects with weak structure and the qualitative representation of the regress dialectics in terms of the logic of the evolution of economic systems. Methods. The study draws upon the cognitive potential of the dialectical method, the method of ascending from the abstract to the concrete, with some elements of the formation approach added, which helped definitely determine and capture systemic traits and principles of the regress dialectics of old systems, and their possible development trajectories. Results. The article sets forth systemic contradictions, qualities and traits of the regress dialectics, referring to the evolutionary phases of economic systems. To display the regress dialectics properly, we formulated respective principles for studying mutated forms, demonstrating the inevitability of their self-reproduction, and revealing the real, though concealed, substance. Conclusions. The article sorts out key conclusions. The findings may underlie the scientific basis for comprehending the evolution of complex subjects with weak structure and macrosystems.

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Jiang, Yaozhi. "Dialectical Logic K-Model: the Discrete Time Dynamical Sampling System, Multidimensional Logic Variable and Associate Database(ADB)." Journal of Mathematics Research 10, no. 2 (March 5, 2018): 88. http://dx.doi.org/10.5539/jmr.v10n2p88.

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Following the earlier works about dialectical logic K-model by the author, in this succeed paper author described the three problems : the first is that discrete time dynamical sampling system to solve which the true-value function is unknown and need discrete time dynamical sampling system to obtain a series of sampled discrete time true-value function points to predict the continuous true-value function or we need some properties of true value function in the frequency domain, a several formulas for true-value function of single-dimensional logic variable via discrete Fourier transformation are explained; the second is the graph expression and matrices expression for the multidimensional logic variables in dialectical logic K-model. Multidimensional logic variable is important that can be used in multidimensional contradictions and in multiple-person games. In fact, author also described the graph $G_K^p$ and corresponding matrices of the multidimensional logic variables; the third is the machine oriented database, associated database i.e. ADB, this is a new database for artificial intelligence, in present paper author describes theoretical properties and some features of ADB.

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Szanto, Thomas. "Hass und die negative Dialektik affektiver Herabsetzung." Deutsche Zeitschrift für Philosophie 69, no. 3 (June 1, 2021): 422–37. http://dx.doi.org/10.1515/dzph-2021-0035.

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Abstract In the past few years, social and cultural theorists have pointed to the dynamic and performative character of forms of disparagement such as public shaming, humiliation, invective or hate speech. In this paper, I endorse a different route and focus on the distinctive affective and dialectical nature of what might be called the ‘politics of disparagement’. I will do so by elaborating on the affective intentionality of hatred, which can be seen as an affective attitude that paradigmatically encapsulates the dialectical antagonism at play in the politics of disparagement. I argue that the affective intentionality of hatred is distinctive in three interrelated ways: First, it has an overgeneralising, indeterminate affective focus, which typically leads to a certain collectivisation of its target. Secondly, short of a determinate affective focus, haters derive the indeed extreme affective powers of the attitude not in reaction to any specific features or actions of the targets or from some phenomenological properties of the attitude but, rather, from the sheer commitment to the attitude itself. Finally, in sharing this commitment to hate with others, hatred involves a certain negative dialectics and becomes entrenched as a shared habitus. Ultimately, I suggest that we can only counteract the politics of disparagement if we understand how a shared commitment to disparagement and hatred establishes its own normative logic, which not only concerns their victims but also, dialectically, sanctions their enactors.

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Goddu, André. "The Logic of Copernicus's Arguments and His Education in Logic At Cracow." Early Science and Medicine 1, no. 1 (1996): 28–68. http://dx.doi.org/10.1163/157338296x00105.

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AbstractThe astronomical traditions on which Copernicus drew for his major works have been well researched. Questions about Copernicus's arguments and his education in logic have been less thoroughly treated. The arguments supplied by Copernicus in his major works are shown to rely to a large extent on well-known dialectical topics or inference warrants. Some peculiar features of his arguments, however, point to sources at Cracow that very likely inspired him to construct arguments based on the requirement of real connections between antecedents and consequents as a condition for the validity of hypothetical conditionals.

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Jiang, Yaozhi. "Axiom System and Some Theorems for Dialectical-Logic K-Model." OALib 04, no. 08 (2017): 1–10. http://dx.doi.org/10.4236/oalib.1103817.

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Lobovikov, V. "Mathematical model of “dialectical logic”, and relatively autonomous cognitive robots." Antinomies 19, no. 1 (April 1, 2019): 29–48. http://dx.doi.org/10.17506/aipl.2019.19.1.2948.

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ALCÂNTARA, JOÃO, SAMY SÁ, and JUAN ACOSTA-GUADARRAMA. "On the Equivalence Between Abstract Dialectical Frameworks and Logic Programs." Theory and Practice of Logic Programming 19, no. 5-6 (September 2019): 941–56. http://dx.doi.org/10.1017/s1471068419000280.

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AbstractAbstract Dialectical Frameworks (ADFs) are argumentation frameworks where each node is associated with an acceptance condition. This allows us to model different types of dependencies as supports and attacks. Previous studies provided a translation from Normal Logic Programs (NLPs) to ADFs and proved the stable models semantics for a normal logic program has an equivalent semantics to that of the corresponding ADF. However, these studies failed in identifying a semantics for ADFs equivalent to a three-valued semantics (as partial stable models and well-founded models) for NLPs. In this work, we focus on a fragment of ADFs, called Attacking Dialectical Frameworks (ADF+s), and provide a translation from NLPs to ADF+s robust enough to guarantee the equivalence between partial stable models, well-founded models, regular models, stable models semantics for NLPs and respectively complete models, grounded models, preferred models, stable models for ADFs. In addition, we define a new semantics for ADF+s, called L-stable, and show it is equivalent to the L-stable semantics for NLPs.

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Verheij, Bart. "Dialectical Argumentation with Argumentation Schemes: An Approach to Legal Logic." Artificial Intelligence and Law 11, no. 2/3 (2003): 167–95. http://dx.doi.org/10.1023/b:arti.0000046008.49443.36.

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Conway, Daniel W. "Circulus Vitiosus Deus? The Dialectical Logic of Feminist Standpoint Theory." Journal of Social Philosophy 28, no. 1 (March 1997): 62–76. http://dx.doi.org/10.1111/j.1467-9833.1997.tb00363.x.

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Lobastov, G. V. "Logic as Methodology." Ekonomicheskie i sotsial’no-gumanitarnye issledovaniya, no. 4(28) (December 2020): 91–100. http://dx.doi.org/10.24151/2409-1073-2020-4-91-100.

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The article expresses the idea that the actual methodology is logic as a universal form, which is freely modified in accordance with the subject content of reality. Based on this principle, the socalled applied Sciences are criticized. This confirms the idea that method as logic and logic as a universal form of thinking adequately perform themselves only as an individual-personal ability within the subject-transforming activity. The principle of mind as the ability to Express the essence of a thing and form a concept is developed. The dialectical nature of this process and its opposite to the formal-empirical method are shown. The nature of consciousness is expressed through the problem of the relation of the universal and the special, and the logical form of judgment is expressed as its basis.

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Li, Xin. "Can Yin-Yang Guide Chinese Indigenous Management Research?" Management and Organization Review 10, no. 1 (March 2014): 7–27. http://dx.doi.org/10.1111/more.12042.

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In this article, I argue that it is misleading to dichotomize the West as being either/or and the East as being both/and. The West has thought dialectically since ancient Greece. I offer a typology to compare and contrast three dialectical or non-either/or logical systems or ways of thinking: Chinese Yin-Yang philosophy, Hegel's dialectic, and Niels Bohr's complementarity principle, as well as Aristotle's formal (either/or) logic. I show that the four logical systems have differences and similarities and show that Westerners can and do think dialectically. I also argue that Chinese Yin-Yang philosophy, while useful and powerful in some situations, is not always superior to the other logical systems and philosophies. My purpose is to alert Chinese management scholars to the dangers of overconfidence and to stimulate discussion and debate on the true value of Yin-Yang in particular and the promotion of Chinese indigenous management research in general. To that end, I present my opinion on the merits and drawbacks of Yin-Yang and posit that it may inspire but cannot guide Chinese indigenous management research because Chinese philosophy lacks a well-defined methodology and operationalizable methods.

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