∞ + ∞ = infinity
∞ x ∞ = infinity
1 / ∞ = 0
Technically, the others should be called "undefined" but I guess he was using the word "indeterminate" in the same way. Infinity isn't a number, it is a concept. It cannot be used in arithmetical statements.
His use of it leads to some glaring errors. For instance, if we are to take the first one as correct (∞ + ∞ = ∞) then we can deduce that ∞ - ∞ = ∞ by substitution, but he has already said ∞ - ∞ = indeterminate.
The same can be said of ∞ x ∞ = ∞ and any division of ∞.
1 / ∞ = 0 is the most ridiculous though, as can be seen here when you apply algebra:
1 / ∞ = 0
Multiply both sides by ∞ (which he says you can do from his answer above).
1 = 0 x ∞
Simplify.
1 = 0.
FAIL.
∞ x ∞ = infinity
1 / ∞ = 0
Technically, the others should be called "undefined" but I guess he was using the word "indeterminate" in the same way. Infinity isn't a number, it is a concept. It cannot be used in arithmetical statements.
His use of it leads to some glaring errors. For instance, if we are to take the first one as correct (∞ + ∞ = ∞) then we can deduce that ∞ - ∞ = ∞ by substitution, but he has already said ∞ - ∞ = indeterminate.
The same can be said of ∞ x ∞ = ∞ and any division of ∞.
1 / ∞ = 0 is the most ridiculous though, as can be seen here when you apply algebra:
1 / ∞ = 0
Multiply both sides by ∞ (which he says you can do from his answer above).
1 = 0 x ∞
Simplify.
1 = 0.
FAIL.
