Family __

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Possible Answers: TREE, TIES.

Last seen on: –LA Times Crossword 23 Apr 21, Friday

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:

TREE on Wikipedia

Random information on the term “TIES”:

The Theoretical Issues in Ergonomics Science (TIES) journal is an interdisciplinary peer-reviewed academic journal covering research in human factors and ergonomics. Unlike other ergonomics journals that deal primarily with applications, TIES focuses on theoretical aspects of the science. The journal was established in 2000 and is published by Taylor & Francis. The co-editors are Waldemar Karwowski (University of Central Florida) and Dylan Schmorrow (Chief Scientist, Soar Technology). TIES publishes 6 issues per year, and it is affiliated with the International Conference on Applied Human Factors and Ergonomics.

The journal is abstracted and indexed in:

TIES on Wikipedia