Philosophy of Arithmetic

E492936

Philosophy of Arithmetic is Edmund Husserl’s early work in which he investigates the psychological and logical foundations of numbers and arithmetic.

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Philosophy of Arithmetic canonical 1

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Predicate Object
instanceOf book
academicDiscipline mathematics
philosophy
author Edmund Husserl NERFINISHED
countryOfOrigin Germany
criticizedBy Gottlob Frege NERFINISHED
criticizedFor psychologism about arithmetic
examines concept formation in arithmetic
how numbers are given in intuition
relation between collections and numbers
focusesOn constitution of number in consciousness
logical foundations of arithmetic
psychological foundations of arithmetic
genre non-fiction
philosophical treatise
hasPart analysis of number concepts
critique of previous theories of number
theory of collective combinations
hasTheme empirical basis of arithmetic knowledge
intentional acts and mathematical objects
origin of numerical concepts
relationship between psychology and logic
influenced Husserl’s Logical Investigations NERFINISHED
early phenomenology
influencedBy Bernard Bolzano NERFINISHED
Franz Brentano NERFINISHED
Gottlob Frege NERFINISHED
languageOfWork German
laterReassessedBy Edmund Husserl NERFINISHED
originalTitle Philosophie der Arithmetik NERFINISHED
philosophicalTradition phenomenology
psychologism
positionOnNumbers numbers as products of acts of collecting
numbers grounded in mental acts
publicationYear 1891
relatedWork Ideas Pertaining to a Pure Phenomenology and to a Phenomenological Philosophy NERFINISHED
Logical Investigations NERFINISHED
subject arithmetic
foundations of mathematics
logic
number
philosophy of mathematics
psychologism
psychology of number
timePeriod late 19th century

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Edmund Husserl notableWork Philosophy of Arithmetic