Convinced that the classically undecidable problems of mathematics possess determinate truth values, Gödel issued a programmatic call to search for new axioms for their solution. The platonism underlying his belief in the determinateness of those questions in combination with his conception of intuition as a kind of perception have struck many of his readers as highly problematic. Following Gödel's own suggestion, this article explores ideas from phenomenology to specify a meaning for his mathematical realism that allows for a defensible epistemology.

The aims of 'Anthropological Complementarism' in a nutshell(sect. 1). Against a watered-down conception of psychophysical complementarity (sect. 2). Linguistic and logical problems of identity and non-identity (sect. 3). A 'noematic' approach to consciousness (sect. 4). A plea for a pure noematics (sect. 5). My own consciousness as experienced by myself is not a part of nature (sect. 6). The major ontological tenets of mine (sect. 7). Complementarism proper (sect. 8). Suitable and unsuitable methods in philosophy (sect. 9). How to determine (...) the methods suitable for philosophical inquiries (sect. 10). Linguistic and phenomenological methods (sect. 11). 'Linguistic phenomenology' (sect. 12). A note on philosophical truth (sect. 13). (shrink)

ABSTRACTThe distinction between minimal self and narrative self has gained ground in recent discussions of selfhood. In this article, this distinction is reassessed by analysing Zahavi and Gallagher’s account of selfhood and supplementing it with Husserl’s concept of person. I argue that Zahavi and Gallagher offer two compatible and complementary notions of self. Nevertheless, the relationship between minimal self and narrative self requires further clarification. Especially the embeddedness of self, the interplay between passivity and activity, and the problems of uniqueness (...) and persistence are better understood with Husserl’s analysis of person and its central concepts of position-taking, habitualities, and overall style. The embeddedness of self is elucidated by outlining how person is related to its environment, to other people, and to its past. This relational notion of self is both passively constituted and actively shaped: person mediates between minimal self characterized by perspectival ownership... (shrink)

It is well known that in his later years Gödel turned to a systematic reading of phenomenology, whose founder, Edmund Husserl, was highly esteem as a philosopher who sought to elevate philosophy to the standards of a rigorous science. For reasons purportedly related to his earlier attraction to Leibnizian monadology, Gödel was particularly interested in Husserl's transcendental phenomenology and the way it may shape the discussion on the nature of mathematical‐logical objects and the meaning and internal coherence of primitive terms (...) in mathematics. This article, which is less interested in historical facts that are amply presented in other scholars’ accounts, rather tries to point to the mostly indirect influence that the ideas of transcendental phenomenology, including Gödel's reported reference to the notion of (inner) time, had on his philosophy of mathematics, especially with a view to key independent questions of mathematical foundations. A main source for Gödel's philosophical‐epistemological views (of course in addition to his own published material) will be his recorded discussions with H. Wang and S. Toledo, as well as various articles and drafts found in his Nachlass. (shrink)

Clarifying the nature of possibility is crucial for an evaluation of the phenomenological approach to ontology. From a phenomenological perspective, it is ontological possibility, and not spatiotemporal existence, that has pre-eminent ontological status. Since the sphere of phenomenological being and the sphere of experienceability turn out to be overlapping, this makes room for two perspectives. We can confer foundational priority to the acts of consciousness over possibilities, or to pre-set possibilities over the activity of consciousness. Husserl’s position on this issue (...) seems to change over time. Ultimately, the establishment of a phenomenological perspective must involve a rejection of any hypostatization of pre-set possibilities, but not all implications of this theoretical step seem to be drawn in Husserl’s texts. This paper is devoted to an illustration of how the phenomenological notion of possibility should change when we reject the hypostatization of possibility, that is, when we reject the idea that all acts of consciousness are to be conceived as realizations of pre-set “ideal forms”. We examine this question, first, by trying to clarify the conceptual constellation of “possibility” in Husserl’s texts. This leads to an overall classification of the features of constituted possibilities. Then we distinguish such constituted possibilities from their constituting conditions, which outlines a different sense of “possibility”. In the last instance two “possibilizing” dimensions are shown to lie at the root of all ontic possibilities. This leads to a final suggestion on the nature of the relation between experience and possibility. Actual experiences create the room for possibility: they are possibilizations. In this sense, experience is to be taken as a generative sphere which goes beyond the customary boundary between epistemic and ontological. From this point of view all experience is to be conceived as emergence. (shrink)