The Foundations of Arithmetic (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "The Foundations of Arithmetic" in English language version.

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Frege 1884, §27. Frege, Gottlob (1884). Die Grundlagen der Arithmetik. Eine logisch-mathematische Untersuchung über den Begriff der Zahl. Breslau: Verlag von Wilhelm Koebner.
Frege 1884, §12: "But an intuition in this [Kant's] sense cannot serve as ground of our knowledge of the laws of arithmetic." Frege, Gottlob (1884). Die Grundlagen der Arithmetik. Eine logisch-mathematische Untersuchung über den Begriff der Zahl. Breslau: Verlag von Wilhelm Koebner.
Frege 1884, §5: "Kant declares [statements such as 2 + 3 = 5] to be unprovable and synthetic, but hesitates to call them axioms because they are not general and because the number of them is infinite. Hankel justifiably calls this conception of infinitely numerous unprovable primitive truths incongruous and paradoxical." Frege, Gottlob (1884). Die Grundlagen der Arithmetik. Eine logisch-mathematische Untersuchung über den Begriff der Zahl. Breslau: Verlag von Wilhelm Koebner.
Frege 1884, §14: "The fact that [denying the parallel postulate] is possible shows that the axioms of geometry are independent of one another and of the primitive laws of logic, and consequently are synthetic. Can the same be said of the fundamental propositions of the science of number? Here, we have only to try denying any one of them, and complete confusion ensues." Frege, Gottlob (1884). Die Grundlagen der Arithmetik. Eine logisch-mathematische Untersuchung über den Begriff der Zahl. Breslau: Verlag von Wilhelm Koebner.
Shapiro 2000, p. 96: "Frege's Foundations of Arithmetic contains a sustained, bitter assault on Mill's account of arithmetic" Shapiro, Stewart (2000). Thinking about Mathematics: The Philosophy of Mathematics. New York: Oxford University Press. pp. 95–98. ISBN 9780192893062. OCLC 43864339.
Shapiro 2000, p. 98: "Frege also takes Mill to task concerning large numbers." Shapiro, Stewart (2000). Thinking about Mathematics: The Philosophy of Mathematics. New York: Oxford University Press. pp. 95–98. ISBN 9780192893062. OCLC 43864339.
Frege 1884, §22: "Is it not in totally different senses that we speak of a tree having 1000 leaves and again as having green leaves? The green colour we ascribe to each single leaf, but not the number 1000." Frege, Gottlob (1884). Die Grundlagen der Arithmetik. Eine logisch-mathematische Untersuchung über den Begriff der Zahl. Breslau: Verlag von Wilhelm Koebner.
Frege 1884, §57: "For example, the proposition 'Jupiter has four moons' can be converted into 'the number of Jupiter's moons is four'" Frege, Gottlob (1884). Die Grundlagen der Arithmetik. Eine logisch-mathematische Untersuchung über den Begriff der Zahl. Breslau: Verlag von Wilhelm Koebner.
Frege 1884, §63: "Hume long ago expressed such a means: 'When two numbers are so combined as that one has always a unit answering to every unit of the other, we pronounce them equal'" Frege, Gottlob (1884). Die Grundlagen der Arithmetik. Eine logisch-mathematische Untersuchung über den Begriff der Zahl. Breslau: Verlag von Wilhelm Koebner.

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Frege 1960. Frege, Gottlob (1960). The Foundations of Arithmetic: A Logico-Mathematical Enquiry Into the Concept of Number. Translated by Austin, J. L. (2nd ed.). Evanston, Illinois: Northwestern University Press. ISBN 0810106051. OCLC 650.
Frege 1960, p. 9-12. Frege, Gottlob (1960). The Foundations of Arithmetic: A Logico-Mathematical Enquiry Into the Concept of Number. Translated by Austin, J. L. (2nd ed.). Evanston, Illinois: Northwestern University Press. ISBN 0810106051. OCLC 650.
Shapiro 2000, p. 96: "Frege's Foundations of Arithmetic contains a sustained, bitter assault on Mill's account of arithmetic" Shapiro, Stewart (2000). Thinking about Mathematics: The Philosophy of Mathematics. New York: Oxford University Press. pp. 95–98. ISBN 9780192893062. OCLC 43864339.
Frege 1960, p. 10: "If the definition of each individual number did really assert a special physical fact, then we should never be able to sufficiently admire, for his knowledge of nature, a man who calculates with nine-figure numbers." Frege, Gottlob (1960). The Foundations of Arithmetic: A Logico-Mathematical Enquiry Into the Concept of Number. Translated by Austin, J. L. (2nd ed.). Evanston, Illinois: Northwestern University Press. ISBN 0810106051. OCLC 650.
Shapiro 2000, p. 98: "Frege also takes Mill to task concerning large numbers." Shapiro, Stewart (2000). Thinking about Mathematics: The Philosophy of Mathematics. New York: Oxford University Press. pp. 95–98. ISBN 9780192893062. OCLC 43864339.
Frege 1960, p. 11: "[...] the number 0 would be a puzzle; for up to now no one, I take it, has ever seen or touched 0 pebbles." Frege, Gottlob (1960). The Foundations of Arithmetic: A Logico-Mathematical Enquiry Into the Concept of Number. Translated by Austin, J. L. (2nd ed.). Evanston, Illinois: Northwestern University Press. ISBN 0810106051. OCLC 650.
Boolos 1998, p. 154: "Frege defines 0 as the number of the concept: being non-self-identical. Since everything is self-identical, no object falls under this concept. Frege defines 1 as the number of the concept being identical with the number zero. 0 and 0 alone falls under this latter concept." Boolos, George (1998). "Chapter 9: Gottlob Frege and the Foundations of Arithmetic". Logic, logic, and logic. Edited by Richard C. Jeffrey, introduction by John P. Burgess. Cambridge, Mass: Harvard University Press. ISBN 9780674537675. OCLC 37509971.