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Notes
Hopkins can be criticized on several fronts. First, Husserl’s position in PA may not reduce symbolic numbers to authentic numbers so simply as he believes (Ierna, 2014: 255–259). Second, he disregards Husserl’s historical context, with its development of the concepts of set and manifold, the emergence of the paradoxes, the formalization of logic itself and the separation of semantics and syntax, which obscures Husserl’s distinction between formal abstraction to any-object-whatsoever and the formal ‘game-meaning’ of algorithmic technique (Hartimo, 2013). Third, he fails to distinguish Husserl’s project of recovering the evidential presuppositions of formal ontology from the problem of the constitution of formal mathematics as traditionally understood, the former being a matter of truth logic as a critique of tradition from the point of view of its implicit telos (Husserl, 1969: 203–205) and likely connected to constructivist concerns about the paradoxes. Fourth, he fails to see how the project of the Crisis involves a new horizon of problems that may bring into question aspects of the project of formal ontology.
The metaphysical dimension of the crisis is mentioned, but it is understood as a matter of metaphysics bestowing cultural meaning on the sciences rather than a problem that enters into the cognitive content of the sciences (p. 16). This assumes that the content of a science can somehow be cleanly separated from the ultimate metaphysical presuppositions of its conceptuality.
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Gasteiger, T. Ian H. Angus: Groundwork of Phenomenological Marxism: Crisis, Body, World. Hum Stud 45, 179–187 (2022). https://doi.org/10.1007/s10746-022-09622-w
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DOI: https://doi.org/10.1007/s10746-022-09622-w