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TREE.
Last seen on: Irish Times Crosaire – Sep 16 2019
Random information on the term “TREE”:
In mathematical logic, the Paris–Harrington theorem states that a certain combinatorial principle in Ramsey theory, namely the strengthened finite Ramsey theorem, is true, but not provable in Peano arithmetic. This was the first “natural” example of a true statement about the integers that could be stated in the language of arithmetic, but not proved in Peano arithmetic; it was already known that such statements existed by Gödel’s first incompleteness theorem.
The strengthened finite Ramsey theorem is a statement about colorings and natural numbers and states that:
Without the condition that the number of elements of Y is at least the smallest element of Y, this is a corollary of the finite Ramsey theorem in K P n ( S ) {\displaystyle K_{{\mathcal {P}}_{n}(S)}} , with N given by: