<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

Goldbach's Conjecture — A Route to the Inconsistency of Arithmetic

Name: Goldbach's Conjecture — A Route to the Inconsistency of Arithmetic
Creator: Wüsthofen, Ralf
Keywords: Goldbach problem

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Research , Other literature type 12 Mar 2014Publisher:Zenodo

Authors: Wüsthofen, Ralf;

doi: 10.5281/zenodo.7363726 , 10.5281/zenodo.7901049 , 10.5281/zenodo.7133031 , 10.5281/zenodo.7150838 , 10.5281/zenodo.7504099 , 10.5281/zenodo.7484363 , 10.5281/zenodo.7293822 , 10.5281/zenodo.7265849 , 10.5281/zenodo.7015217 , 10.5281/zenodo.8096766 , 10.5281/zenodo.7950503 , 10.5281/zenodo.6985218 , 10.5281/zenodo.7513741 , 10.5281/zenodo.7240021 , 10.5281/zenodo.7537756 , 10.5281/zenodo.7982652 , 10.5281/zenodo.7958284 , 10.5281/zenodo.7388388 , 10.5281/zenodo.7063228 , 10.5281/zenodo.7557619 , 10.5281/zenodo.7414905 , 10.5281/zenodo.7110502 , 10.5281/zenodo.7118747 , 10.5281/zenodo.6999014 , 10.5281/zenodo.7857157 , 10.5281/zenodo.7392441 , 10.5281/zenodo.7344264 , 10.5281/zenodo.7245850 , 10.5281/zenodo.6991129 , 10.5281/zenodo.7422492 , 10.5281/zenodo.7977158 , 10.5281/zenodo.7144604 , 10.5281/zenodo.7066874 , 10.5281/zenodo.7387078 , 10.5281/zenodo.8063954 , 10.5281/zenodo.7540747 , 10.5281/zenodo.7484366 , 10.5281/zenodo.7414890 , 10.5281/zenodo.7328522 , 10.5281/zenodo.7430231 , 10.5281/zenodo.7444257 , 10.5281/zenodo.7062753 , 10.5281/zenodo.7133344 , 10.5281/zenodo.7341928 , 10.5281/zenodo.7088791 , 10.5281/zenodo.7135189 , 10.5281/zenodo.8075722 , 10.5281/zenodo.7199522 , 10.5281/zenodo.7435010 , 10.5281/zenodo.7315869 , 10.5281/zenodo.7455339 , 10.5281/zenodo.7027741 , 10.5281/zenodo.7366273 , 10.5281/zenodo.6982062 , 10.5281/zenodo.8039381 , 10.5281/zenodo.7504091 , 10.5281/zenodo.7058856 , 10.5281/zenodo.7369052 , 10.5281/zenodo.7396523 , 10.5281/zenodo.7382325 , 10.5281/zenodo.7487396 , 10.5281/zenodo.7833952 , 10.5281/zenodo.7422496 , 10.5281/zenodo.7489678 , 10.5281/zenodo.7324509 , 10.5281/zenodo.7396530 , 10.5281/zenodo.7242926 , 10.5281/zenodo.7513738 , 10.5281/zenodo.7840893 , 10.5281/zenodo.7975646 , 10.5281/zenodo.7043771 , 10.5281/zenodo.7537759 , 10.5281/zenodo.7392446 , 10.5281/zenodo.7154774 , 10.5281/zenodo.7455332 , 10.5281/zenodo.6969498 , 10.5281/zenodo.7241682 , 10.5281/zenodo.7079483 , 10.5281/zenodo.6959178 , 10.5281/zenodo.7955020 , 10.5281/zenodo.7933501 , 10.5281/zenodo.8047941 , 10.5281/zenodo.7377083 , 10.5281/zenodo.7226831 , 10.5281/zenodo.7387026 , 10.5281/zenodo.7126387 , 10.5281/zenodo.7857476 , 10.5281/zenodo.7908563 , 10.5281/zenodo.7272243 , 10.5281/zenodo.8079399 , 10.5281/zenodo.7477778 , 10.5281/zenodo.7388394 , 10.5281/zenodo.7860569 , 10.5281/zenodo.7853011 , 10.5281/zenodo.7444250 , 10.5281/zenodo.7330806 , 10.5281/zenodo.7489675 , 10.5281/zenodo.7986360 , 10.5281/zenodo.7487405 , 10.5281/zenodo.7864250 , 10.5281/zenodo.6963748 , 10.5281/zenodo.7540730 , 10.5281/zenodo.7189126 , 10.5281/zenodo.7557610 , 10.5281/zenodo.7829541 , 10.5281/zenodo.7944736 , 10.5281/zenodo.8100195 , 10.5281/zenodo.4292141 , 10.5281/zenodo.7983229 , 10.5281/zenodo.7435003 , 10.5281/zenodo.7430222 , 10.5281/zenodo.7106233 , 10.5281/zenodo.7191459 , 10.5281/zenodo.7480538 , 10.5281/zenodo.7480543 , 10.5281/zenodo.7311311 , 10.5281/zenodo.7257733 , 10.5281/zenodo.7031962 , 10.5281/zenodo.773369 , 10.5281/zenodo.7481971 , 10.5281/zenodo.7477800 , 10.5281/zenodo.7090892 , 10.5281/zenodo.7046805 , 10.5281/zenodo.7181122 , 10.5281/zenodo.6989572 , 10.5281/zenodo.7335916 , 10.5281/zenodo.7481958 , 10.5281/zenodo.6965149 , 10.5281/zenodo.7019102 , 10.5281/zenodo.7164473

Goldbach's Conjecture — A Route to the Inconsistency of Arithmetic

- Summary
- Subjects
- Related research
  (4)
- Metrics

Abstract

This paper proves an inconsistency in Peano arithmetic (PA). We express two propositions — a strengthened form of the strong Goldbach conjecture and its negation — using a specific set that varies according to which of the propositions holds. On the other hand, we show that this set remains unchanged under the assumptions of the two statements. This causes a contradiction.

First submission to the Annals of Mathematics on March 24, 2013

Keywords

Goldbach problem

4 Research products, page of 1

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).	0
	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

Usage byUsageCounts

visibility	views	218
download	downloads	214

218
views
214
downloads
Powered by

Found an issue? Give us feedback

visibility

download

Average

218

214

Green