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Frege's Theory of Natural Numbers and Kantian Intuitions

Autor Ekin Özge
en Limba Engleză Paperback – 5 ian 2013
This work argues against Frege's theory of arithmetic and points out the logical and mathematical discrepancies of his system according to which arithmetic could be built on purely logical grounds and hence could have foundations devoid of intuitions. It concentrates mainly on the "definite article premise" as one of the faults of Frege's theory of arithmetic where the definite article serves to classify something as an object. Although Frege's formulation had failed, it is so alluring to build arithmetic on logical grounds with the new rules introduced by him and again so tempting to ascribe numbers to concepts, that appearance of these discrepancies did not stop pursuing logicists trying to find better formulations still for similar purposes. This book explains that why such attempts fail and why intuitions are required in mathematics.
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Specificații

ISBN-13: 9783847328599
ISBN-10: 384732859X
Pagini: 72
Dimensiuni: 152 x 229 x 4 mm
Greutate: 0.12 kg
Editura: LAP Lambert Academic Publishing AG & Co. KG
Colecția LAP Lambert Academic Publishing

Notă biografică

Özge Ekin is currently working on Diagrams in connection to Kantian characterisation of mathematics in Freie University Berlin, as a PhD student and a research assistant. She studied mathematics and philosophy in Istanbul, Turkey. Her passion is to discover the nature of mathematical reasoning.