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Here are three possible meanings derived right from a Yahoo search:

(1) Cantor's diagonal argument, also called the diagonalisation argument, the diagonal slash argument or the diagonal method, was published in 1891 by Georg Cantor as a proof that there are infinite sets which cannot be put into one-to-one correspondence with the infinite set of natural numbers. Such sets are now known as uncountable sets, and the size of infinite sets is now treated by the theory of cardinal numbers which Cantor began.

The diagonal argument was not Cantor's first proof of the uncountability of the real numbers; it was actually published much later than his first proof, which appears in 1874. However, it demonstrates a powerful and general technique, which has since been reused many times in a wide range of proofs, also known as diagonal arguments by analogy with the argument used in this proof. The most famous examples are perhaps Russell's paradox, the first of Gödel's incompleteness theorems, and Turing's answer to the Entscheidungsproblem.

(2) Primates who walk on all fours do it in a diagonal sequence. They put down a foot on one side and then a hand on the other side, continuing that pattern as they move along. Most other mammals move in a lateral sequence, moving a foot and then a hand on the same side and then moving in the same sequence on the other side.

(3) FINGERPRINT DIAGONAL REVERSE SEQUENCE ARRANGEMENT

Purpose and Innovative Aspects:

Copyright © Andres J. Washington

The original sequence found in section “A” is for the sixty-four possibilities when the # 2,3,4,7,8 and 9 fingers are considered; this sequence only includes the inner and outer loops. When a number is assigned to each box from left to right and working down to the last box # 64, box 64 would equal

.

Due to the fact that the inked fingerprint is in actual reverse, (Mirroring) it has been determined that if the sequence in section “A” was to be arranged to the sequence found in section “B” it would then be in reverse displaying a different perspective of the total possibilities in relation to each other. This diagonal reverse is then used to provide the arrangement of the Second Reference Sequence found in section “C”.

The second reference sequence works as a verification in its outcome of how the first reference sequence was established. If the first reference sequence was not in proper arrangement then the second reference sequence would not be in a uniform sequencing pattern. A close examination of the fingerprint codes found in the second reference sequence reveals a definite pattern along a diagonal basis.

For further analysis, the second reference sequence has been divided into three areas; named area A, area B, and area C. In area “A” the extreme diagonal of each box contains it’s opposite code. In area “B” and “C” the extreme diagonal of each box contains the same code in reverse.

Source(s):
(1) http://en.wikipedia.org/wiki/Image:Diagonal_argument_2.svg

(2) http://www.utexas.edu/research/features/story.php?item=2838

(3) http://home.att.net/~dermatoglyphics/diagonal/

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