The foundations of arithmetic : a logico-mathematical enquiry into the concept of number / by 461049 Frege, Gottlob

The foundations of arithmetic : a logical-mathematical investigation into the concept of number 1884 / by 197843 Kolak, Daniel

Husserl Between Frege’s Logicism And Hilbert’s Formalism by Ulrich Majer

“…'Essentially incomplete' because there was - and still exists - beside Frege's Logicism, Brouwer's Intuitionism and Hilbert's Formalism at least one further position, namely Husserl's phenomenological approach to the foundations of arithmetic, which is also philosophically interesting. …”
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Is Incompatibilism Compatible with Fregeanism? by Nils Kürbis

“…This paper considers whether incompatibilism, the view that negation is to be explained in terms of a primitive notion of incompatibility, and Fregeanism, the view that arithmetical truths are analytic according to Frege’s definition of that term in §3 of Foundations of Arithmetic, can both be upheld simultaneously. …”
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Frege, Hankel, and Formalism in the Foundations by Richard Lawrence

“…Frege says, at the end of a discussion of formalism in the Foundations of Arithmetic, that his own foundational program “could be called formal” but is “completely different” from the view he has just criticized. …”
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Fregean One-to-one Correspondence and Numbers as Object Properties by Boris Grozdanoff

“…The paper critically examines an unpopular line of Frege’s view on numbers in the Foundations of Arithmetic. According to this view, which analyzes numbers in terms of properties and not in terms of extensions, numbers are properties of concepts vs. properties of objects. …”
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24.400 Proseminar in Philosophy I, Fall 2003 by Byrne, Alex

“… A large selection of classic texts, from Frege's Foundations of Arithmetic to Wittgenstein's Philosophical Investigations, is covered in this course.…”
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George Duke, Dummett on Abstract Objects by Bob Hale

“…Austin as The Foundations of Arithmetic, Oxford, Basil Blackwell, second revised edition 1953. …”
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Russell’s Paradox: a historical study about the paradox in Frege’s theories by Aline Germano Fonseca Coury, Denise Silva Vilela

“…For over twenty years, Frege tried to find the foundations of arithmetic through logic, and by doing this, he attempted to establish the truth and certainty of the knowledge. …”
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Russell's Paradox: A Historical Study about the Paradox in Frege's Theories by Aline Germano Fonseca Coury, Denise Silva Vilela

“…For over twenty years, Frege tried to find the foundations of arithmetic through logic, and by doing this, he attempted to establish the truth and certainty of the knowledge. …”
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Opening the Door to Cloud-Cuckoo-Land: Hempel and Kuhn on Rationality by Alexander George

“…Gottlob Frege. The Foundations of Arithmetic. Northwestern University Press, 1959. …”
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What is Analytic Philosophy by Hanjo Glock

“…G. Frege. The Foundations of Arithmetic. Translated by J. Austin. Oxford, Blackwell, 1958. …”
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24.400 Proseminar in Philosophy I, Fall 2013 by Byrne, Alex, Yablo, Stephen

“…A large selection of classic texts, such as Frege's Foundations of Arithmetic, Russell's Problems of Philosophy, and Wittgenstein's Philosophical Investigations, is covered in this course.…”
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The Development of Arabic Digit Knowledge in 4- to 7-Year-Old Children by Birgit Knudsen, Martin H. Fischer, Anne Henning, Gisa Aschersleben

“…Recent studies indicate that Arabic digit knowledge rather than non-symbolic number knowledge is a key foundation for arithmetic proficiency at the start of a child’s mathematical career. …”
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QUINE’S PROXY-FUNCTION ARGUMENT FOR THE INDETERMINACY OF REFERENCE AND FREGE’S CAESAR PROBLEM by DIRK GREIMANN

“…Abstract In his logical foundation of arithmetic, Frege faced the problem that the semantic interpretation of his system does not determine the reference of the abstract terms completely. …”
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Numerical activities and information learned at home link to the exact numeracy skills in 5 to 6 years-old children by Silvia eBenavides-Varela, Silvia eBenavides-Varela, Brian eButterworth, Francesca eBurgio, Francesca eBurgio, Giorgio eArcara, Daniela eLucangeli, Carlo eSemenza, Carlo eSemenza, Carlo eSemenza

“…We also found that particular activities, such as board games, correlate with the children’s counting skills, which are foundational for arithmetic. Crucially, tests relying on approximate representations were not predicted by the numerical knowledge acquired at home. …”
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