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==== Number ==== [[Neo-Kantianism]] dominated the late 19th century in German philosophy. Edmund Husserl's 1891 book ''[[Philosophy of Arithmetic|Philosophie der Arithmetik]]'' argued that the concept of the [[cardinal number]] derived from psychical acts of grouping objects and counting them.<ref>{{cite journal |last=Willard |first=Dallas |title=Husserl on a Logic that Failed |journal=Philosophical Review |pages=52β53 |volume=89 |issue=1 |jstor=2184863 |year=1980}}</ref> In contrast to this "[[psychologism]]", Frege in ''[[The Foundations of Arithmetic]]'' (1884) and ''The Basic Laws of Arithmetic'' ({{langx|de|link=no|Grundgesetze der Arithmetik}}, 1893β1903), argued similarly to [[Mathematical platonism|Plato]] or [[Bernard Bolzano|Bolzano]] that mathematics and logic have their own public objects, independent of the private judgments or mental states of individual mathematicians and logicians. Following Frege, the logicists tended to advocate a kind of [[Philosophy of mathematics|mathematical Platonism]].
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