Atomism and Adequacy

A Philosophical method must be adequate to its object of investigation.  For example, Logical Atomism is adequate to any object of investigation that is constituted by irreducibly simple basic particles that are essentially mutually independent.  So, Logical Atomism might be adequate to Physical Atomism, such as Newtonian Physics.  And, it might be adequate to a Physics that, following the microscopic discovery of a manifold within the erstwhile simplest particle, isolates new simplest particles within the manifold.  But, the standard characterization of these constituents obscures the inadequacy of the method that informs it.  For, though they are characterized as 'charged particles', they are charges, i. e. forces, not 'particles' at all. Furthermore, insofar as Charge is either Positive or Negative, they are not inherently mutually independent.  Now, microscopic investigation has discovered an entity that is, in one respect, irreducibly simple--the Cell.  But, Logical Atomism is inadequate to this entity because the latter contains within it a capacity to reproduce.  Thus, if any Atomism is adequate to this Biological Atom, it is Dialectical Atomism.  Nevertheless, despite these established inadequacies, Logical Atomism remains a predominant method in contemporary Philosophy, i. e. qua Analytic Philosophy, which presupposes the irreducibility and face value of, e. g. common utterances.