Verfasst von:	Dutilh Novaes, Catarina [VerfasserIn]
Titel:	The dialogical roots of deduction
Titelzusatz:	historical, cognitive, and philosophical perspectives on reasoning
Verf.angabe:	Catarina Dutilh Novaes, Vrije Universiteit Amsterdam and University of St Andrews
Verlagsort:	Cambridge ; New York, NY ; Port Melbourne ; New Delhi ; Singapore
Verlag:	Cambridge University Press
Jahr:	2021
Umfang:	xiii, 271 Seiten
Illustrationen:	Illustrationen
Fussnoten:	Enthält Literaturangaben und Index
ISBN:	978-1-108-47988-2
	978-1-108-80079-2
Abstract:	"Despite quite some variation in its numerous manifestations, three core features of deductive reasoning seem to stand out. They are aptly captured in the following definition of a mathematical proof, taken from the 1989 guideline of the National Council of Teachers of Mathematics (and quoted in (Balacheff, 1991) (p. 177)): a mathematical proof is "a careful sequence of steps with each step following logically from an assumed or previously proved statement and from previous steps." So a deductive argument is a (i) stepwise process, (ii) where each step 'follows logically' (iii) from assumed or previously established statements. In the remainder of the book, it will be further argued that focusing on these three aspects offers an adequate vantage point to investigate deduction in its many facets. Here they are presented in decreasing order of general recognition of their centrality for the notion of deduction"--
Schlagwörter:	(s)Deduktion    / (s)Mathematische Logik    / (s)Philosophie
Sprache:	eng
Bibliogr. Hinweis:	Erscheint auch als : Online-Ausgabe: Novaes, Catarina Dutilh: The dialogical roots of deduction. - Cambridge : Cambridge University Press, 2021. - 1 online resource (xiii, 271 pages)
K10plus-PPN:	1737232790