Infinity Misconceptions Reloaded

Number Theory Level 2

Janet places infinitely many balls in a bag, then Paul removes them leaving the bag empty. And since $\infty - \infty \neq 0$ , how many balls did Paul remove from the bag?

Janet never stops filling the bag All of the balls Paul never stops emptying the bag Infinity is not a rational quantity Nobody knows

1 solution

Sarah Louise Jennings
Jun 1, 2016

Since Infinity is Not Quantifiable, there is no Number of Balls that can Empty the Bag other than ‘ALL Of Them’. So if ∞ - n = 0 and ∞ - ∞ ≠ 0, n can only be (All Of Them)

your first statement is incorrect : "Janet Places Infinitely Many Ball" , you cannot put an infinite amount of something in something .

Sabhrant Sachan - 5 years ago

This is a Reload of an Existing Puzzle in Infinity Misconceptions, that Postulates that Somebody ‘Puts’ an Infinite Amount of Balls in a Bag and Asks How many must be Removed to Empty the Bag? Without any Regard to the Practicality of Dealing with the Term ∞ in any kind of Meaningful Way; So You are Right, but Given the Hypothetical Situation, Disregarding the Fact that an Infinite amount of Time would be Needed Nonmatter how fast the Balls where Loaded into the Bag, and an Infinite amount of Balls Nonmatter how Small could Not fit into a Universe that could Never Expand Enough to Contain Them. In Fact Any Answer Except ‘Infinitely Many’ would be Correct.

Sarah Louise Jennings - 5 years ago

Infinity Misconceptions Reloaded

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