query: Simple & Intuitive Statements that are Difficult to Prove
positive_passages.docid: 94180
positive_passages.text: "It looks straightforward, but actually it isn't"
negative_passages.docid: 79686
negative_passages.text: How can I prove these statements?
negative_passages.docid: 115996
negative_passages.text: Misleading Definitions and Unanswerable Problems in Spivak's Calculus
negative_passages.docid: 49298
negative_passages.text: What are some examples of induction where the base case is difficult but the inductive step is trivial?
negative_passages.docid: 129430
negative_passages.text: Hardy-Ramanujan theorem's "purely elementary reasoning"
negative_passages.docid: 141496
negative_passages.text: Could someone make the proof into a hinted exercise?
negative_passages.docid: 16168
negative_passages.text: Intuitive Bernoulli numbers
negative_passages.docid: 58530
negative_passages.text: The definition of independence is not intuitive
negative_passages.docid: 45204
negative_passages.text: Combinatorial proofs: having a difficult time understanding how to write them out
negative_passages.docid: 83778
negative_passages.text: An incorrect proof by exhaustion
negative_passages.docid: 101136
negative_passages.text: The Monty Hall Problem - where does our intuition fail us?
negative_passages.docid: 143882
negative_passages.text: Why sometimes evidence is said to be too complex to compute and other times is negelected cause it is fixed?
negative_passages.docid: 43700
negative_passages.text: Are proofs by contradiction really logical?
negative_passages.docid: 113065
negative_passages.text: Proving equivalences of statements equivalent to AC
negative_passages.docid: 135509
negative_passages.text: Proof writing: how to write a clear induction proof?
negative_passages.docid: 32950
negative_passages.text: Fake induction proofs
negative_passages.docid: 50306
negative_passages.text: Why Goldbach's conjecture is difficult to prove?