Hallo everybody,

have a look at this finding.
Is there any follow up from its first publication in 2006?

The text below is translated using "google translate" - the original article is written in Greek.

The mathematics of the Ancient Minoans
http://www.ellinikoarxeio.com/2010/1...t-minoans.html

Compound and complex math knew how to make the Minoans in the 16th century BC fractions and use the decimal system, which completely reverses the picture we have so far on science and its applications in the ancient world and especially so early.

The shocking discovery was made by the researcher Aegean scripts Tsikritsis Minas, an original mathematical text is engraved on the wall of the corridor of the Minoan villa of Agia Triada which is near the palace. The same text was identified in 1965 by Mr Pope, published in the journal BSA, as reported by Minas Tsikritsis, saying that it is exponentially but without any other comment. Indeed, the Greek researcher stresses that the relevant mathematics are found only in Euclid, that 11 centuries later.

This innovative discovery is to justify the creation of the architectural complex and labyrinthine Minoan palace, that needed a robust scientific background and theoretical knowledge in different scientific fields, not just good empirical craftsmen. Also developed Minoan trade in the Mediterranean, advanced miniature, the discovery of the whole village Psiloritis at 1,200 meters altitude (Zominthos) requiring a pretty advanced technology.

The researcher Minas Tsikritsis, using a mathematical algorithm has read Linear A Scripture, finding that it is related to Linear B, while 70% of the letters of Linear A is an early Wind Bible and 30% is a unknown script possibly Louviki. The study adopted versions of the Library Vikelaia in Iraklion.

According to Mr. Tsikritsi, "The numerical symbols used in the decimal system of linear A are similar to those of Linear B:

* The vertical line I for the unit I

* The horizontal line - to ten -

* The dot or circle on the hundred

* The symbol for thousand. + A

eg The number 1224 was written by + o = I I I I



Except for integer arithmetic symbols recorders Minoans used a complicated system of fractional-point measures of solid and liquid products.

For this system, the researcher himself says: "Typically the employee was employed by the distribution of goods, if he wanted to give 4 and 3 / 8 (ie 4> 7) units of wine count whole first 4 feet, then 1 / 4 and finally 1 / 8 measure.

The following table contains the basic symbols, as found in Linear A, indicating sizes measuring liquids and solids. Most have been associated, by E. Bennett and other researchers, with fractional sizes. In the last two lines shows the corresponding size fraction of volume in liters, by reference to the unit of 144 liters for solid and 36 liters for liquids.

Fractional sizes with reduction in unit

Symbol 7 +> l> 7 <7 t <l Fraction 1 / 8 1 / 5 1 / 4 1 / 3 3 / 8 1 / 2 5 / 8 1 / 6 3 / 4 5 / 6 144 18 28.8 Solid 36 48 54 72 90 24 108 120 Liquid 36 4.5 7.2 9 12 13.5 18 25 6 27 30 For the complexity of the Minoan Palace and the use of mathematics, Mr. Tsikritsis, states: "In architecture curtain manufacturing sites of the palaces W. Graham has identified a sacred foot 36 cm (observed at Knossos the central courtyard has dimensions 180CH90 feet, Malia and Phaistos 170CH80 feet and Zakros 100CH60 feet). Interestingly, the sub-foot units (2, 3, 4, 6, 9, 12 and 18) may help in fractional operations.

Minoan Mathematics

po-to ku-ro 400 +50 +2 +0,5

POSSI gum 452.5

ku-ro 31 +1 31 +1 oulo

ku-ro 65 65 oulo

qo-to - ku-ro 97 97 POSSI oulo

Analyzing the system of Minoan Mathematics, the same researcher states: "In 32 Linear A is in the last line, the word ku-ro = = oulon hula, followed by the numeric value, which is the sum of the units listed in previous series. In two signs of the Holy Trinity entered a partial sum with the word gum, and end a line with a reference po-to - ku-ro = po-(s) o-ku-lo, which is interpreted "amount oulon" and follows the sum total of the foregoing subtotals.


The shocking finding

In addition to these everyday ways of recording the mathematics needs of Minoan bureaucracy, there is a unique discovery in the St. Trinity (villa close to Phaistos). On the north side of the room, which had murals depicting lilies and wildcats to hunt pheasants, a staircase leads to a hallway with three columns. The wall of the corridor was a swab, which was 3 incised inscriptions (graffiti). Both incised inscription in Linear A 'phrases: "I am running to be the thought of Zeus" and "treat the thought of Zeus."

The major focus is on the third inscribed inscription, which bring with linear fractional symbols of A in the first four terms of a geometric progress. The text of the inscription engraved on the case-seeing image. The transcription of the numbered points of the text and convert them into modern form is:

1 1 21 / 4 3 1 / 4 1 / 8 ta 3 1 / 6

1 3 / 2 9 / 4 27 / 8 fold 19 / 6

In these conditions the exponential we see that resolved a complex fractional problem: (1 +3 / 2) + (9/4/27/8) = 19 / 6. Where the results of operations assigned (instead of =) with the word ta = fold (epic type anafxitos indefinite second in importance to Homer were weighed). A similar mathematical form of seeing the same period of the 16th BC century in the Egyptian Papyrus Rhind. The problem solving is associated with an exponential with multiples of 7 and finally finds the sum of the first four terms.

Papyrus Rhing

The problem is this: in 7 houses (pr w) is 7 cats (myw w), each of which eats mice 7 (pnw w). If each mouse ate 7 ears of wheat (bd t), that if you sow someone would produce 7plasia unit Hekat, how much wheat was saved. The result (dmd) acts observed by the cited table, in the end makes the act:

(7 +49 +343 +2301 +16807) = 19607

The mathematical problem of exponentially observe that known to the Egyptians in the 16th century BC with integer numbers, namely a multiple of 7.

The prototype that we observe in numerical text engraved on the wall of the corridor of the Trinity are that around 1550 BC Minoans record a fractional exponential ratio of 3 / 2, which no other people are not found, but only after 11 centuries in mathematics of Euclid. At the same time not solve a complex mathematical fractional problem.

The period around the 16th century. The Minoans, as can be seen both from the text engraved figure of the Holy Trinity with fractional exponential, and other signs of the book with the sum of the subtotals that were discovered complex mathematical operations . This phenomenon can be described as innovative in the world history of mathematics (at least the hitherto known written sources).

source
By Panayiotis Georgoudas
ELEFTHEROTYPIA - 09/12/2006