The organization of taxonomic information in logical classification is known as

The correct option is Systematics.

Step-by-Step Explanation:

1. Understanding the Core Concept:
The question asks for the term that describes the organization of taxonomic information within a logical classification system.

2. Defining the Options:
- Systematics: This is the study of the diversification of living forms, both past and present, and their relationships through time. It encompasses taxonomy (the naming and classifying of organisms) and integrates evolutionary history and comparative biology to organize taxonomic information into a logical, evolutionary framework.
- Phenetic: Phenetics is an attempt to classify organisms based on overall similarity, usually in morphology or other observable traits, regardless of their evolutionary relation.
- Dendrogram: A dendrogram is a diagrammatic representation (a tree diagram) that shows taxonomic relationships, often used in phenetic or phylogenetic analyses, rather than the field of study itself.
- Phylogenetic: Phylogenetics refers specifically to the study of evolutionary relationships among biological entities, often represented as trees, which is a key component of systematics but does not represent the overarching study of organizing taxonomic information into classification systems by itself.

3. Conclusion:
Therefore, the scientific study and logical organization of taxonomic information and the relationships among organisms is known as Systematics.