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Mathematical cognition and mathematical structuralism
MCMP – Mathematical Philosophy (Archive 2011/12)
English - April 20, 2019 16:43 - 35 minutes - 318 MB Video - ★★★★★ - 6 ratingsPhilosophy Society & Culture philosophy logic science language mathematics hannes leitgeb stephan hartmann mcmp lmu Homepage Download Apple Podcasts Google Podcasts Overcast Castro Pocket Casts RSS feed
Valentin Sorin Costreie (Bucharest) gives a talk at the MCMP Colloquium (9 Feb, 2012) titled "Mathematical cognition and mathematical structuralism". Abstract: Recent studies concerning mathematical cognition show that we may find mathematical cognitive capacities in young infants and monkeys. They show that we possess an innate intuition of small natural integers around the age of six month, and thus they are commonly interpreted in the sense of providing new grounds for a revival of Kantian intuitionism. Yet, if we speak of intuitions, they are intuitions of what? So, the target of my study will be to clarify the role played by intuitions in mathematical cognition, trying to better see the connection between mathematical cognition, intuitionism and structuralism.