The Foundations Of Arithmetic: A Logico-Mathematical Enquiry Into The Concept Of Number - Gottlob Frege
Northwestern University Press (1980)
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Arithmetic - Foundations, Number concept

This book written by Gottlob Frege is one of the most influential books of the 20th century philosophy of mathematics. In here Frege establishes the nature of arithmetics as founded in logic, which is his logicist proposal. For that, he refutes the assertion that logic as such is founded on psychology.

Sometimes he distorts a little bit what others say about logic, so he argues against those thinkers more effectively. In here he establishes the anti-psycology difference between concept and object; though he has not made a difference yet between sense and reference. He also refers to a principle called the contextual principle, in which the word makes reference to something depending on the context. Afterwards after he wrote the book, he would reject this principle, because of his doctrine of sense and reference: the sense of the words determine the sense of the sentence; and the reference of the words determine the reference of the sentence.

This is a great philosophical work, and I would suggest it to anyone who is starting to study Analytic philosophy (philosophy of mathematics, logic and language), and also those who want to consider the platonist proposal.

Product Details
LoC Classification QA9 .F7514 1980
Dewey 512.81
Format Paperback
Cover Price 22,00 €
No. of Pages 144
Height x Width 220 x 140 mm