Completeness: From Husserl to Carnap

Husserl and Hilbert on Completeness and Husserl's Term Rewrite-based Theory of Multiplicity (Invited Talk)

Hilbert and Husserl presented axiomatic arithmetic theories in different ways and proposed two different notions of “completeness” for arithmetic, at the turning of the 20th Century (1900– 1901). The former led to the completion axiom, the latter completion of rewriting. We look into the latter in comparison with the former. The key notion to understand the latter is the notion of definite mult...

Husserl ’ s Preemptive Responses to Existentialist Critiques

The Indo-Pacific Journal of Phenomenology (IPJP) can be found at www.ipjp.org. The IPJP is a joint project of Rhodes University in South Africa and Edith Cowan University in Australia. This document is subject to copyright and may not be reproduced in whole or in part via any medium (print, electronic or otherwise) without the express permission of the publishers. Husserl’s Preemptive Responses...

An Apology of Carnap

This paper is focused on dismissive metaontological views about ontology. The paper’s first section deals with radical dismissivism: a view which I interpret as Carnap’s (1956). The second section approaches moderate dismissivism: a view which I interpret as Hirsch’s (2011). My first claim is stated in section three: that there are significant differences between the mentioned authors. However,...

Husserl on Collective Intentionality

Carnap on empirical significance

Carnap’s search for a criterion of empirical significance is usually considered a failure. I argue that the results from two out of his three different approaches are at the very least problematic, but that one approach led to success. Carnap’s criterion of translatability into logical syntax is too vague to allow for definite results. His criteria for terms—introducibility by chains of reducti...