structural:reformatting
Number

Neo-Kantianism dominated the late 19th century in German philosophy. Edmund Husserl's 1891 book Philosophie der Arithmetik argued that the concept of the cardinal number derived from psychical acts of grouping objects and counting them.

In contrast to this " psychologism ", Frege in The Foundations of Arithmetic (1884) and The Basic Laws of Arithmetic (German: Grundgesetze der Arithmetik, 1893–1903), argued similarly to Plato or 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 mathematical Platonism.