Charles Sanders Peirce (1839—1914) made a distinction between formal and informal reasoning, and argued that the formal reasoning processes of induction and deduction were not sufficient to explain those instances when individuals entertain new ideas to explain surprising facts. Peirce asserted the existence of another kind of reasoning, abduction, through which the individual generates a novel hypothesis to account for or explain surprising facts under consideration.
CITATION STYLE
Cifarelli, V. V. (2016). The Importance of Abductive Reasoning in Mathematical Problem Solving. In Semiotics as a Tool for Learning Mathematics (pp. 209–225). SensePublishers. https://doi.org/10.1007/978-94-6300-337-7_10
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