query: The following is an incorrect proof of “if a set of n balls contains a green ball then all the balls in the set are green”. Find the error.
positive_passages.docid: 37466
positive_passages.text: Questions on "All Horse are the Same Color" Proof by Complete Induction
negative_passages.docid: 51877
negative_passages.text: Why is this 'Proof' by induction not valid?
negative_passages.docid: 111830
negative_passages.text: When is the closure of an open ball equal to the closed ball?
negative_passages.docid: 151009
negative_passages.text: semigroup in which Green's relations are different
negative_passages.docid: 152084
negative_passages.text: Binomial-Theorem proof
negative_passages.docid: 103463
negative_passages.text: Mantel's Theorem proof verification
negative_passages.docid: 41418
negative_passages.text: $2+2 = 5$? error in proof
negative_passages.docid: 72052
negative_passages.text: Combinatorics the number of options for $k$ different balls in n different cells, with at least $1$ ball in each cell
negative_passages.docid: 62009
negative_passages.text: Probability that the bag contains all balls white given that two balls are white
negative_passages.docid: 11817
negative_passages.text: Proving that every set $A \subset \Bbb N$ of size $n$ contains a subset $B \subset A$ with $n | \sum_{b \in B} b$
negative_passages.docid: 101179
negative_passages.text: Partition of a set and Hall's theorem
negative_passages.docid: 45204
negative_passages.text: Combinatorial proofs: having a difficult time understanding how to write them out
negative_passages.docid: 39908
negative_passages.text: Finding the error in this proof that 1=2
negative_passages.docid: 58481
negative_passages.text: Exclusion Inclusion Principle Induction Proof
negative_passages.docid: 25553
negative_passages.text: elementary set theory (cartesian product and symmetric difference proof)
negative_passages.docid: 77859
negative_passages.text: Prove or find a counter example to the claim that for all sets A,B,C if A ∩ B = B ∩ C = A ∩ C = Ø then A∩B∩C ≠ Ø
negative_passages.docid: 1318
negative_passages.text: What is wrong with this proof that the power set of the natural numbers is countable?