Final answer:
The statement is generally false; perjury involves lying under oath, and although an immaterial fact is less likely to result in perjury charges, it could still be considered perjury if the false statement was made intentionally to mislead.
Step-by-step explanation:
The statement that one is not guilty of perjury if he falsely testifies as to some immaterial fact is generally false. Perjury is the act of lying or making misrepresentations under oath in court. The materiality of the fact is key because the law considers a statement to be perjurious if it is not only false but also material to the case at hand. Material facts are those that could affect the outcome of the case. An immaterial fact, while not as likely to lead to a perjury conviction, could still be considered perjury if it is proven that the false statement was made willfully with the intent to mislead.
The references to self-incrimination and legal procedures highlight the importance of truthfulness and procedural safeguards in the legal system. Also, the concept of materiality is critical as only falsehoods that bear a strong likelihood of influencing the tribunal in making a determination are typically actionable.