The accelerated growth and advances in taxonomy as a science occurred during the 18th and 19th centuries. Here's why:

* Linnaeus's System (1700s): Carolus Linnaeus, a Swedish botanist, revolutionized taxonomy with his binomial nomenclature system. This standardized way of naming species made it easier to classify and communicate about organisms.

* Exploration and Discovery (1700s-1800s): European voyages of exploration brought back a wealth of new plants and animals, greatly expanding the known diversity of life. This influx of new species fueled the need for a more robust classification system.

* Darwin's Theory of Evolution (1859): Charles Darwin's theory of evolution by natural selection provided a new framework for understanding relationships between organisms. This led to the development of phylogenetic classifications, which aim to reflect evolutionary history.

* Microscopy and Other Technologies (1800s-Present): Advances in microscopy, genetics, and molecular techniques allowed scientists to delve deeper into the structure and relationships of organisms. This opened up new avenues for taxonomic research, leading to the discovery of new species and the refinement of existing classifications.

While the 18th and 19th centuries saw a significant acceleration, taxonomy continues to evolve and expand. New discoveries, technological advancements, and the ongoing development of phylogenetic methods continue to refine our understanding of the tree of life.