Do you also find the scientific doctrine of light, and mater, being both particle and wave internally incoherent.
Depending on what exactly you mean by “particle” that’s either no less tautological than dogs being both mammals and animals or a possibly-only-approximate provisional model (complete with well-studied mathematical techniques to sweep the consequences of the incoherence under the rug) we’re using while we figure out how to extend quantum field theory down to the quantum gravity scale and beyond.
Depending on what exactly you mean by “particle” that’s either no less tautological than dogs being both mammals and animals or a possibly-only-approximate provisional model (complete with well-studied mathematical techniques to sweep the consequences of the incoherence under the rug) we’re using while we figure out how to extend quantum field theory down to the quantum gravity scale and beyond.