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Abduction, Deduction, Induction

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Abduction, deduction, and induction are three forms of reasoning in logic and philosophy. Abduction involves forming hypotheses to explain observations, deduction entails deriving specific conclusions from general premises, and induction involves inferring general principles from specific instances. Each method plays a crucial role in scientific inquiry and critical thinking.
lightbulbAbout this topic
Abduction, deduction, and induction are three forms of reasoning in logic and philosophy. Abduction involves forming hypotheses to explain observations, deduction entails deriving specific conclusions from general premises, and induction involves inferring general principles from specific instances. Each method plays a crucial role in scientific inquiry and critical thinking.

Key research themes

1. How do distinct cognitive processes differentiate deduction and reasoning in human inferential practice?

This theme investigates the fundamental mental phenomena underpinning deduction and reasoning, challenging the classical view that they are unified processes. Understanding these differences is crucial for advancing theories of inference, rationality, and the psychology of reasoning.

Key finding: The paper argues that reasoning and deduction are distinct mental phenomena rather than a single norm-governed mental process that revises attitudes based on others. Deduction is characterized as a mental process operating on... Read more
Key finding: This work contrasts Aliseda’s model of abduction as semantic tableaux-based inference, representing abductive reasoning as a formalized logical process, with a more general model by Gabbay and Woods that views abduction as an... Read more

2. What is the logical and epistemic status of abduction relative to deduction and induction, and how is it justified?

This area addresses the characterization of abduction as a unique form of inference distinct from deduction and induction, its epistemic nature (a priori vs a posteriori), and justificatory frameworks. It critically evaluates traditional conflations with inference to the best explanation and proposes formal-logical accounts emphasizing abduction’s hypothesis-generation role and its place in scientific inquiry.

Key finding: The paper challenges the standard conflation of abduction with inference to the best explanation (IBE), arguing that while abduction involves hypothesis generation, evaluating best explanation is a separate step. It proposes... Read more
Key finding: This work argues against the orthodoxy that abduction is an a posteriori mode of inference, showing instead that the epistemic value of abduction can and should be justified a priori, independent of empirical evidence about... Read more
Key finding: The paper reconstructs Peirce's sophisticated view that abduction’s justification involves a fundamental (ur-)abduction asserting that we can know by abduction, which itself must be verified inductively by appeal to the... Read more
Key finding: This study enriches the Gabbay-Woods abductive schema by incorporating illocutionary acts from logic for pragmatics, capturing how scientific abduction involves justification in assertions and dialogue. This... Read more

3. How can abductive reasoning be formalized dynamically to model scientific hypothesis generation and discovery?

This research focus addresses the development of formal logical systems capturing abduction as a dynamic, conjectural process integral to scientific inquiry and creativity. It aims to move beyond static models and integrate abductive reasoning with contemporary dynamic epistemic logic frameworks, reflecting the iterative and revisable nature of scientific hypothesis formation.

Key finding: The paper presents a novel dynamic logic of abduction based on Peirce’s post-1903 conception, characterizing abductive inference as dynamic conjecture-making (pre-belief) processes. It introduces a decidable,... Read more
Key finding: This work proposes a naturalistic cognitive-biological model linking Peirce’s late semiotic conception of abduction with the modern Free Energy Principle and active inference frameworks in computational neuroscience. It... Read more

4. What roles do abduction, deduction, and induction play in mathematical creativity and scientific methodology?

This theme explores the application and interplay of abduction, deduction, and induction in generating new knowledge, particularly mathematical creativity and scientific discovery. It focuses on abduction’s unique role in hypothesis generation, diagrammatic reasoning, and integrating empirical investigation with theoretical innovation.

Key finding: The paper argues that mathematical creativity is grounded in Peirce’s concept of abduction as hypothesis generation through diagrammatic reasoning, distinguishing it from deduction and induction. It illustrates how abductive... Read more
Key finding: This historical review highlights the development of automated theorem proving focusing on the automation of mathematical induction as a specialized and crucial component. Although centered on deduction, the work... Read more
Key finding: This paper reviews the classical difficulties of induction and deduction in scientific reasoning, emphasizing the limitations of both. While deductive reasoning preserves truth, it cannot generate new knowledge, and induction... Read more

All papers in Abduction, Deduction, Induction

This study was written few months ago at the suggestion of L’institute for Epistemological Studies Europe (IESE) in Belgium, and it was written in Arabic, and considering its importance, I decided to translate it into English. The... more
The revolutionary dimension of the theories of the rejection of "the hegemony of the method" in postmodern society.
This work pays tribute to the work of Professor Magnani by analyzing and applying his Eco-Cognitive Abduction Model (also known as the EC-Model) to introduce axiological values’ role in the generation of scientific hypotheses. For this... more
Towards the middle of the eighteenth century Hume asked: Why should we accept non-deductive inferences? Strangely enough he didn’t ask the corresponding question: Why should we accept deductive inferences? This was not due to an oversight... more
Human thoughts and behaviors, though complex, exhibit identifiable patterns that are observable across various contexts. This article introduces the concept of a "microlect," a specialized sub-language that emerges within natural language... more
This paper explores mathematical creativity through the lens of Charles Sanders Peirce's concept of abductive reasoning. Peirce, who defined mathematics as the study of pure hypotheses and their consequences, saw abduction as the process... more
The notion of nihilism does not take center stage in Flusser's philosophy as other concepts, like existentialism, phenomenology, communication, translation, telematics or technical images, but it plays a major role at the beginning of his... more
This essay focuses on the role of nihilism in the development of Vilém Flusser’s work, a notion that plays a major role at the beginning of his intellectual adventure and keeps resurfacing in various guises and different moments. Nihilism... more
Hermeneutics can play a key role in advancing human well-being, but its potential remains underexplored. In this paper, I discuss the importance of Inner Development Goals relative to sustainable development to address global challenges... more
"Wild pigs (Sus scrofa) in the early Holocene were nimble, fierce combatants for humans who sought them out for sport, as rites-of-passage and as flesh food in the hinterlands of their isolated agrarian settlements. In contrast,... more
Scurt rezumat Voi încerca să creionez un scurt rezumat care poate fi de folos cititorului precizând principalele argumente ale lucrării și concluziile la care am ajuns, omiţând însă mai multe aspecte particulare şi de detaliu... more
The capability of a computational system to deal with unexpected, changing situations and limited perception of the environment is becoming more a more relevant, in oder to make systems flexible and more reliable. Multi-agent Systems... more
Dans une perspective de clarification, cet article revient sur la liaison existant entre les concepts d'abduction et d'hypothèse. Il vise d'une part à préciser et établir la logique de l'inférence abductive en la replaçant dans la... more
Our purpose in this paper is to propose the concept of "artificial Kansei/sensibility". In recent years, artificial intelligence (AI) has been the focus of many people, but here we propose the basic concept of "artificial... more
Our purpose in this paper is to propose the concept of "artificial Kansei/sensibility". In recent years, artificial intelligence (AI) has been the focus of many people, but here we propose the basic concept of "artificial... more
This text presents a thoughtful and nuanced exploration of how we understand and categorize phenomena in our world. It divides observable phenomena into four categories: Mechanistic, Contingent, Stochastic, and Super Random. Each category... more
I show that James Joyce’s Ulysses makes use of “a department of knowledge belonging to the order of what is not as opposed to what is critical resolution at the empirical level.” John Deely discusses in his “Editorial Afterward” to... more
Fitzhugh, K. 2014. Character mapping and cladogram comparison versus the requirement of total evidence: does it matter for polychaete systematics? Memoirs of Museum Victoria 71: 67-78. The practice of partitioning data for the inferences... more
We present a dynamic approach to Peirce's original construal of abductive logic as a logic of conjecture making, and provide a new decidable, contractionfree and cut-free proof system for the dynamic logic of abductive inferences with... more
Patients in the Western world are presenting more and more complex cases, with an increase in many people having multiple longterm conditions. Most junior doctors are still trained in linear diagnostic models based on a person have one or... more
Robert Larmer and Alvin Plantinga have argued that modern physics is compatible with the idea that the physical universe is open to God's supernatural action and that such action would not involve any violation of laws of nature. Thus,... more
Orte of the challenges Kuhn's work poses to philosophy of science concems the insight that theory-choice and, accordingly, theory-change is governed by a more complex and subtle procedure than anticipated. In particular, this procedure is... more
This paper discusess how management of technology can be made more critical and a new method of reasoning is incorporated into this dicsipline to stimulate more widely application. Management of technology is found as a discipline that... more
We present a dynamic approach to Peirce's original construal of abductive logic as a logic of conjecture making, and provide a new decidable, contractionfree and cut-free proof system for the dynamic logic of abductive inferences with... more
Bayesian theory now incorporates a vast body of mathematica l, statistical and computational techniques that are widely applied in a panop ly of disciplines, from artificial intelligence to zoology. Yet Bayesians rarely ag ree on the... more
Theory-generating abductions introduce new (theoretical) concepts into their conclusion. This form of abduction underlies all uncertain inferences from (singular or general) empirical facts to theoretical hypotheses that explain these... more
This piece of work would never have emerged in its present form, were it not for the support of many. In particular, I want to thank my love Nel, for being there and complementing me; my daughter Ada for bringing her liveliness into our... more
En la actualidad el análisis científico de las cuestiones probatorias se centra en la etapa jurisdiccional… ofrecimiento, admisión, valoración, estándares de prueba son algunos de los temas más tratados en la literatura respectiva, sin... more
was the greatest of our American philosophers, the parent of our country's distinct contribution to philosophy: pragmatism. A great scientist, a master logician, what captured my interest was his understanding of creativity. He provided... more
In this lecture, first I discuss general aspects of qualitative projects: project planning, thereafter the traditional workspace for hermeneutic textual analysis as a blueprint for software systems such as ATLAS.ti. The last part... more
This chapter (Ch. 9) addresses noetic contemplation through Coleridge’s higher logic, or rather ‘Noetic’, of the ‘tetrad’, relating absolutes (the Trinity, reality, being, the good, etc.), and his pentad, relating non-absolutes (human... more
Modern explainable AI (XAI) methods remain far from providing human-like answers to ‘why’ questions, let alone those that satisfactorily agree with human-level understanding. Instead, the results that such methods provide boil down to... more
Abductive conclusions are drawn in a special, co-hortative mood (Peirce’s ‘investigand’). Abductive conclusions are representative interpretants that represent abduction (or retroduction) as a form of reasoning that can convey a general... more
Abstract: New users learning to use text-processing systems, especially those who are using self-study materials without expert supervision, must often make sense of actions and events in situations where they have little basis, in prior... more
The current generation has a series of technological tools that facilitate multivariate analysis, both qualitative and quantitative, inferring using inductive and deductive methods interchangeably, that is, applying the abductive method... more
While in his Science of Logic, Hegel employed neither diagrams nor formulae, his reinterpretation of Aristotle’s syllogistic logic in the “Subjective Logic” of Book III strongly suggests a diagrammatic dimension. Significantly, an early... more
In this paper I aim to defend a twofold thesis. On one hand, I will support, against Perini [7], the indispensability of diagrams when structurally complex biomolecules are concerned, since it is not possible to satisfactorily use... more
We advance efforts to explicate and improve inference in qualitative research that iterates between theory development, data collection, and data analysis, rather than proceeding linearly from hypothesizing to testing. We draw on the... more
Peirce regards mathematics as an informative science capable of really increasing our knowledge. This means that mathematics is not limited to conceptual analysis but possesses a real object of investigation. The core of Peirce's view of... more
Peirce regards mathematics as an informative science capable of really increasing our knowledge. This means that mathematics is not limited to conceptual analysis but possesses a real object of investigation. The core of Peirce's view of... more
Éthique de l'indice dans le récit d'énigme « De la trace au tracé » : cette formule lapidaire, que j'emprunte à la critique Annie Combes, retrace elle-même, toute en esquisse, la démarche que se donne le récit d'énigme classique. Au... more
A proposta deste breve texto é apresentar de forma clara as teses gerais do artigo “Defending Abduction” de Ilka Niiniluoto, publicado na Philosophy of Science em 1999. Em geral, é possível sintetizar que Niiniluoto buscou apresentar uma... more
We start from the premise that the retroductive mode of reasoning is not well understood in the theorizing and research process. Retroduction and abduction, less well known and rarely acknowledged in scientific contributions, stems from... more
Intellectualists tell us that a person who knows how to do something therein knows a proposition. Along with others, they may say that a person who intends to do something intends a proposition. I argue against them. I do so by way of... more
Corroboration or confirmation is a prominent philosophical debate of the 20th century. Many philosophers have been involved in this debate most notably the proponents of confirmation led by Hempel and its most powerful criticism by the... more
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