Final answer:
The statement provided is false because the current date cannot be August 2021 as it's already post-2023. The terms AD (Anno Domino) and CE (Common Era) are used in date designation, and the equivalent terms are BC (Before Christ) and BCE (Before Common Era).
Step-by-step explanation:
The statement "A date for this week would be August 2021 AD/CE" is false. Current dates should use the designations AD or CE (Anno Domino/Common Era) following the year number. Since we are well beyond the year 2021 at this point, specifically post-2023 based on the cutoff knowledge for this answer, a date for "this week" could not possibly be in August 2021. Instead, a date in "this week" would be a date in the current year, which is after 2023 according to the knowledge cutoff.
The terms Before Common Era (BCE) and Common Era (CE) are equivalent to Before Christ (BC) and Anno Domino (AD), respectively. These designations have been widely adopted in academic and scientific publications to provide a secular and inclusive method of date designation. Therefore, stating any current date as being in August 2021 would be inaccurate, given that we are currently after 2023 and, as such, the correct answer to the original question is option b) False.