Consider the following statements about the role of objectivity, bias, and methodology in historical research:

1. Objectivity in history is achieved when historians completely remove their personal biases, resulting in a purely factual account.

2. The use of heuristics and criticism in history allows historians to sift through sources, assess reliability, and synthesize information meaningfully.

3. Intellectual dishonesty in history writing is primarily a result of plagiarism rather than interpretative biases.

4. The historian’s imagination plays no role in history writing, as history is solely based on evidence and factual data.

Which of the above statements are correct?