Problem 7 - Chemistry: The Central Science

Question

What is wrong with the following statement? Twenty years ago an ancient artifact was determined to be 1900 years old. It must now be 1920 years old. [Section 1.5]

Step-by-Step Solution

Answer

The error in the statement is that it doesn't account for the 20 years that have passed since the artifact was determined to be 1900 years old. The correct age of the artifact should be \(1900 + 20 = 1940\) years old, not 1920 years old.

Step 1: Understand the given statement

The statement says that an ancient artifact was determined to be 1900 years old twenty years ago. Now, it is claimed that the artifact must be 1920 years old.

Step 2: Identify the error in the statement

The error lies in the fact that the 1900-year age of the artifact was determined twenty years ago. Therefore, 20 years have passed since the artifact was considered 1900 years old. So, the artifact's age should be 1900 years plus the 20 years that have passed since the determination to correctly calculate its current age.

Step 3: Calculate the correct age of the artifact

To find the correct age, we add the time that has passed (20 years) to the initial age (1900 years): \[Age = 1900 + 20 = 1920\]

Step 4: Conclusion

The statement is incorrect because the artifact is not "now 1920 years old," it was already 1920 years old when it was determined to be 1900 years old 20 years ago. The correct age of the artifact is now 1940 years old, taking into account the 20 years that have passed.

Key Concepts

Archaeological Time Reckoning

Understanding how archaeologists track time is crucial when examining the past. Archaeologically, the age of an artifact is determined through various dating methods appropriate to the time period in question.

For artifacts from more recent history, methods like carbon-14 dating can be extremely accurate, as this form of radiometric dating measures the decay of carbon-14 within organic materials. However, for much older items, like those from prehistory, techniques like stratigraphy and typological dating come into play.

Stratigraphy relies on the analysis of soil layers (strata) to understand the sequence of historical deposits, whereas typological dating compares artifacts to similarly aged counterparts. This field requires expertise in understanding both absolute and relative dating techniques and using context-specific approaches to determine the most accurate age possible.

In doing so, archaeologists piece together the puzzle of human history, taking into account the chronological error identification to update or revise the previously estimated ages of archaeological finds based on new evidence or methods.

Chronological Error Identification

Chronological errors can occur for many reasons – from simple miscalculations to misapplication of dating methods. It's critical for historians and archaeologists to identify and correct these errors to maintain historical accuracy.

When dealing with artifacts or contexts, it's important to remember that the passage of time affects everything. An artifact that was 1900 years old twenty years ago would logically be 1920 years old today assuming the dating at the time was correct. Nevertheless, it's essential to remain vigilant and re-evaluate findings with new information.

Identification and correction of chronological errors involve reassessing the original dating procedures and outcomes. In some cases, advancements in technology or new archaeological evidence can lead to a reevaluation of an artifact’s age. This revision process is an ongoing task, as new dating methods are developed and existing ones are refined.

Historical Artifact Age Calculation

The calculation of an artifact's age is a fundamental aspect of archaeological analysis and requires a blend of science and history. To calculate an artifact's historical age, knowledge of when the object was first created or used is key.

In the textbook exercise solution, we saw an instance where the age of an artifact was previously determined and how to correctly adjust this age with the passage of time. The essential calculation is straightforward: one simply adds the number of years since the initial dating to the originally determined age.

However, it's important to note that dating accuracy can vary and that recalibration of techniques might be necessary. For example, a radiocarbon date from fifty years ago may differ slightly from a date measured today due to improvements in calibration curves. Experts must, therefore, not only compute numerical ages but also understand the context and confidence levels associated with them.