The Expressional Limits of Formal Languages in the Notion of Observation
| dc.creator | Livadas, Stathis | |
| dc.date | 2007-11-27 | |
| dc.date | 2009-02-10 | |
| dc.date.accessioned | 2026-07-07T12:39:02Z | |
| dc.date.available | 2026-07-07T12:39:02Z | |
| dc.description | In this article I deal with the notion of observation in the most fundamental sense and its representation by means of formal languages serving as expressional tools of formal-axiomatical theories. In doing so, I have taken this notion in two diverse contexts. In the first as an epistemic notion that refers to its interpretation in a formal mathematical environment and then to its interpretation in a quantum mechanical environment. The second context in which I tried to approach the notion of observation is that of a phenomenological constitution basically as it is described in E. Husserl's original works. Assuming that in phenomenological constitution mathematical objects are special cases of perceptual objects including consequently objects of a quantum mechanical measurement, the question is to inquire on the limits of their description in the language of a formal-axiomatical theory. On one hand, I derive an irreducibility on the level of observables as indecomposable atoms without any further syntactical content in formal representation and on the other a transcendence of a continuous substratum self-constituted as a kind of impredicative synthetic unity on which to define an observational frame and generate a predicative universe of discourse. | |
| dc.description | 20 pages | |
| dc.identifier | https://arxiv.org/abs/0711.4155 | |
| dc.identifier | http://arxiv.org/abs/0711.4155 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/218972 | |
| dc.subject | Quantum Physics | |
| dc.title | The Expressional Limits of Formal Languages in the Notion of Observation | |
| dc.type | text |