In set theory, the symbol "ω" represents the smallest infinite ordinal number, which corresponds to the set of all natural numbers 0, 1, 2, .... When we add 1 to ω, denoted as "ω + 1," we are extending this ordinal by one additional element. This means that "ω + 1" includes all the natural numbers plus one more element that comes after all of them. The ordinal "ω + 1" is not the same as the number "1" added to infinity. Instead, it represents a specific ordering where all natural numbers are followed by a new element, making it larger than any finite number but still part of the ordinal number system.