Final answer:
The argument provided is a valid and deductive argument in mathematics, confirming that 56, as an even number, must be divisible by 2 based on the defined premises and conclusion.
Step-by-step explanation:
The argument "All even numbers are divisible by 2; 56 is even; Therefore, 56 is divisible by 2." is a valid and deductive argument. The structure of this argument is such that, assuming the premises are true, the conclusion must also be true.
The argument follows a common logical structure similar to a disjunctive syllogism, where if (X) then (Y); and since we have X (56 is even), then we must have Y (56 is divisible by 2).
Within the scope of mathematical rules, this argument demonstrates a universally valid application of the basic property of even numbers.
The argument given is a valid deductive inference. The statement 'All even numbers are divisible by 2' is a true premise. The conclusion, '56 is divisible by 2' follows logically from the premise.
This argument can be represented in the form of a disjunctive syllogism:
X or Y
Not Y
Therefore X