Anonymous
Anonymous asked in Science & MathematicsMathematics · 2 months ago

What is infinity plus infinity?

Is it 2 infinity and beyond?

12 Answers

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  • 2 months ago
    Best answer

    Two points must be borne in mind

    • Infinity is not a number so we are not allowed to apply numerical rules.

    • There are an infinity of infinities all different from each other indicated by ℵ₀,ℵ₁,ℵ₂,....

    Being practical, very often, we use the symbols +, -, * ... but we must pay close attention to the meaning

    For example

    ℵ₀+ℵ₁=ℵ₁

    For example If I make the union between the set of natural numbers ℕ and the set of real number ℝ we got a set with numerical cardinality ℵ₁

    but

    ℵ₀+ℵ₀= ?

    Could be 0. Ex. ℕ\ℕ

    Could be 1. Ex ℕ\{ℕ\{0})

    Could be 2.....

    Could be ℵ₀ Ex. ℤ\ℕ

    But never will be ℵ₁.

  • Como
    Lv 7
    2 months ago

    Very funny !

    This made me laugh .

  • JOHN
    Lv 7
    2 months ago

    The set, U, of even numbers is infinite. The set ,V, of odd mbers is infinite. When you add them together you get the set W of all the integers, another infinite set. You can pair off any two of U V, and W one-to-one, so they are all of the same size. Thus ∞ + ∞ = ∞. But you can't pair off the integers and the real numbers one-to-one. The infinity of the integers (aleph_0) is smaller than that of the real numbers (aleph_1). aleph_0 < aleph_1.

  • 2 months ago

    cmc is correct. Simplifying, if you take only the lowest order of infinity, the set of numbers, then infinity+infinity = infinity.

    for example, set of positive even numbers, infinity, plus set of positive odd numbers, infinity, equals set of positive numbers, infinity.

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  • 2 months ago

    Ha!!! Ha!!! Ha!!! I like your answer

    'Its 2 (two/to) infinity and beyond

  • 2 months ago

    There is no such number called infinity. Conceptually, any number beyond the imagination is taken as infinity. Suppose, any integer (not zero) is divided by infinitesimally small number "x" (where x tends to zero) the answer becomes unthinkably large and it's called infinity. If you add anything to infinity it becomes infinity and, infinity plus infinity is also infinity. Understand the concept.

  • 2 months ago

    cute ............

  • 2 months ago

    ∞ + ∞ = ∞

  • It's infinity

    infinity - infinity can be infinity, 0, -infinity, or anything in between

    infinity/infinity can be infinity, 1, 0, etc...

    Infinity doesn't behave according to intuitive rules. That is, we can conceptualize rather easily how 1 + 1 = 2 and how 1 - 1 = 0. But infinity behaves differently, depending on the situation.

  • Anonymous
    2 months ago

    Infinity. There’s nothing beyond.

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