Final answer:
The student's statement '41 + 8 = 51' is an objective claim that can be proven to be false through mathematics, which deals with objective and verifiable truths.
Step-by-step explanation:
The equation 41 + 8 = 51 is an objective claim. This type of statement can be proven true or false using mathematical operations and is not influenced by personal feelings or opinions. Considering our understanding that truth is binary—we can verify this statement's accuracy by performing a simple addition. Upon adding 41 and 8, we indeed get 49, not 51. Therefore, we can say that the initial claim is false. However, the claim itself is objective, since it deals with mathematics which is based on objective truths.