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math.HO2022
Confirming Mathematical Conjectures by Analogy
Francesco Nappo, Nicolò Cangiotti, Caterina Sisti
Analogy has received attention as a form of inductive reasoning in the empirical sciences. However, its role in pure mathematics has received less consideration. This paper provide…
math.HO2022
Reasoning by Analogy in Mathematical Practice
Nicolò Cangiotti, Francesco Nappo
The testimony and practice of notable mathematicians indicate that there is an important phenomenological and epistemological difference between superficial and deep analogies in m…