Final answer:
The oldest known tarsier fossils were not explicitly mentioned in the provided information. Contextually, fossils from the Oligocene epoch are about 34 million years old, and radiometric dating techniques have demonstrated that earth's fossil record is extensive and ancient.
Step-by-step explanation:
Age of the Oldest Known Tarsier Fossils
The oldest known tarsier fossils have not been precisely referred to in the provided information. However, based on other related paleontological discoveries mentioned, we can contextualize the age of some fossils. For instance, the Primates of the Oligocene Epoch are noted to date back to approximately 34 million years ago (MYA). Although this information does not address tarsiers directly, the Oligocene epoch marks the appearance of the first fossil monkeys, suggesting that tarsier fossils could potentially be of a similar age, if not older. Meanwhile, it is stated that the oldest known rocks on Earth have been dated between 4 and 5 billion years old, and the oldest known fossils are between 3 and 4 billion years old, placing the earliest evidence of life quite far back in time.
As for radiometric dating, this technique is crucial in establishing the ages of various fossils and has proven that Earth is significantly older than previously believed during Darwin's time. However, without direct evidence from the tarsier fossil record, we cannot provide a definitive age for the oldest tarsier fossils.