What is Abduction? The Fundamental Problem of Contemporary Epistemology

Hintikka, Jaakko

doi:10.1007/978-94-015-9313-7_4

Cited by 89 publications

(83 citation statements)

References 9 publications

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“…These rules are often forgotten and the emphasis is given to the learning of definitory rules (Paavola, 2004). As Hintikka (1999) states, students are not taught how to reason well but to maintain their logical virtue (i.e., to avoid logical fallacies and to learn what is and what is not admissible and valid). It is important to teach them how to select a gain strategy to solve a problem as well to explicit which theorems or properties they can use.…”

Section: Discussionmentioning

confidence: 99%

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Strategic vs Definitory Rules: Their Role in Abductive Argumentation and their Relationship with Deductive Proof

Pedemonte

2018

EURASIA J MATH SCI T

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This paper analyzes the role of abduction in proving process when students solve a geometrical problem. Solving a problem is like playing a game in which rules have to be defined. Two kinds of rules are considered: definitory rules that define the basic moves in the game and strategic rules that explain how to play the game. These two rules can be associated to two types of abductions that can be used to solve geometrical problems. The purpose of this paper is to compare these two abductions and to analyze their relationship with the deductive proof. In particular, the study reveals that abduction based on definitory rule can be an obstacle to the construction of the deductive proof, while abduction based on strategic rule seems to not be a challenge for students. In fact, this abduction is usually transformed into a deduction along the argumentation.

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Section: Discussionmentioning

confidence: 99%

“…Two sorts of rules can be distinguished in reasoning (Hintikka, 1999): the definitory rules and the strategic rules. The definitory rules tell what valid rules are in a particular system of logic, which moves are permitted and which ones are not.…”

Section: Strategic Rule Vs Definitory Rule In Abductionmentioning

confidence: 99%

Strategic vs Definitory Rules: Their Role in Abductive Argumentation and their Relationship with Deductive Proof

Pedemonte

2018

EURASIA J MATH SCI T

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“…None of these patch-up works could silence criticisms, but, instead, bred new questions. In an attempt to overcome the difficulties, Hintikka interpreted abduction in terms of a guessing strategy of throwing questions at Nature [79]. This modification was tantamount to shifting subjectivity to Nature as a way of hiding subjectivity instead of eliminating it.…”

Section: Single-mentioning

confidence: 99%

Deciphering the Enigma of Human Creativity: Can a Digital Computer Think?

Hong¹

2013

J Comput Sci Syst Biol

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The objective of the present article is a) to explain humans' high creativity in non-mystic and unambiguous terms, b) to evaluate the performance of problem-solving computer programs and c) to make suggestions about future designs of heuristics. Unlike many previous attempts in the past century, we sought inspiration from two sources that had been neglected or excluded from considerations by experts: artificial intelligence and introspections of a number of highly creative individuals, who confessed that they had a penchant for visual thinking. Simonton's chance-configuration model was refurbished accordingly. It is now possible for the refurbished model to explain a number of outstanding puzzles that had eluded our predecessors: a) what intuition is, b) why creators had no idea about their source of inspiration even after the fact, c) a peculiar event happening at the discovery time, known as the "aha" phenomenon, d) a type of accidental discoveries known as serendipity. Moreover, the elusive concept of abduction advanced by philosopher Charles Peirce is actually visual thinking in disguise. Blessed with this new understanding, we could evaluate the performance of a number of problem-solving computer programs from a cognitive point of view. It turned out that the common thread that links human creativity and computerbased creative problem solving is heuristic searching. Recognizing that a digital computer must perform heuristic searching in a digital environment, which is not the most user-friendly environment to do so, we made suggestions about how to circumvent the restrictions without sacrificing the principles in future designs of heuristics.

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“…One way of interpreting abduction in connection to diagrammatic reasoning is then to see abduction from the point of view of deductive (necessary, diagrammatic) reasoning (Hoffmann 1999; see also Hintikka 1998). These elements close to abduction within deduction are connected especially to "theorematic reasoning."…”

Section: The Relationship Between Diagrams and Abductionmentioning

confidence: 99%

Diagrams, iconicity, and abductive discovery

Paavola

2011

Semiotica

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What is Abduction? The Fundamental Problem of Contemporary Epistemology

Cited by 89 publications

References 9 publications

Strategic vs Definitory Rules: Their Role in Abductive Argumentation and their Relationship with Deductive Proof

Strategic vs Definitory Rules: Their Role in Abductive Argumentation and their Relationship with Deductive Proof

Deciphering the Enigma of Human Creativity: Can a Digital Computer Think?

Diagrams, iconicity, and abductive discovery

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