<script type="text/javascript">
<!--
document.write('<div id="oa_widget"></div>');
document.write('<script type="text/javascript" src="https://www.openaire.eu/index.php?option=com_openaire&view=widget&format=raw&projectId=undefined&type=result"></script>');
-->
</script>

COPY SCRIPT

For further information contact us at helpdesk@openaire.eu

The limits of mathematics course outline and software

Name: The limits of mathematics course outline and software
Creator: Gregory J. Chaitin
Keywords: 0209 industrial biotechnology, FOS: Physical sciences, 02 engineering and technology, 0101 mathematics, Chaotic Dynamics (nlin.CD), Nonlinear Sciences - Chaotic Dynamics, 01 natural sciences, Adaptation and Self-Organizing Systems (nlin.AO), Nonlinear Sciences - Adaptation and Self-Organizing Systems

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Article , Preprint , Other literature type 01 Jan 1995Embargo end date: 01 Jan 1993Publisher:Springer Berlin Heidelberg

Authors: Gregory J. Chaitin;

doi: 10.1007/3-540-58843-4_11 , 10.48550/arxiv.chao-dyn/9312006

arXiv: http://arxiv.org/abs/chao-dyn/9312006

The limits of mathematics course outline and software

- Summary
- Subjects
- Metrics

Abstract

A remarkable new definition of a self-delimiting universal Turing machine is presented that is easy to program and runs very quickly. This provides a new foundation for algorithmic information theory. This new universal Turing machine is implemented via software written in Mathematica and C. Using this new software, it is now possible to give a self-contained ``hands on'' mini-course presenting very concretely the latest proofs of the fundamental information-theoretic incompleteness theorems.

LaTeX

Related Organizations

IBM (United States)
United States

Keywords

FOS: Physical sciences, Chaotic Dynamics (nlin.CD), Nonlinear Sciences - Chaotic Dynamics, Adaptation and Self-Organizing Systems (nlin.AO), Nonlinear Sciences - Adaptation and Self-Organizing Systems

Impact byBIP!

	citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	1
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average

Found an issue? Give us feedback

Average

Green

Fields of Science (4) View all

Fields of Science