"logical shortcomings" is correct and usable in written English.
You can use it to refer to flaws in an argument or point of view due to logic. For example, "The professor's opinion on the issue of gun control had several logical shortcomings that he was unable to explain."
Popper's arguments against holism, and in particular his arguments against the propriety of large-scale planning of social structures, are interconnected with his demonstration of the logical shortcomings of the presuppositions of historicism.
Below, we argue that recent studies systematically underestimate the phylogenetic support for the existence of multiple Hox genes in the cnidarian-bilaterian ancestor due to three important logical shortcomings.
Finally, Mathew Guest's essay, "The Plausibility of Creationism: A Sociological Comment," examines the current popularity of creationism in the USA (and to a much lesser degree in the UK), suggesting some sociological forces that may contribute to its acceptance, despite its logical or factual shortcomings.
We hypothesise that by reifying conversations as logical maps to address the shortcomings of chronological streams, CCSAV tools underestimate the importance of participation and interaction in enhancing collaborative knowledge-building.
Because of this shortcoming, several traditional definitions of logic seem to be inapplicable to these parts of logical studies.
But there has to be more going on, since, as we have just seen above, the nature of bodies also obliges with this type of necessity that is, logical necessity but such obliging falls short of genuine causation, a shortcoming that does not apply to divine volitions.
Declarative models of syntax were developed to overcome these shortcomings by providing – in line with standard practice in the natural sciences – a logical, non-procedural characterization of the empirical domain.
