akritas
12-03-2005, 04:49 AM
This article is an answer to the article entitled BIG Greek Lie # 6 (http://www.maknews.com/html/articles/stefov/stefov75.html) by Mr Risto Stefov
GEOMETRY
Greeks never claimed that Geometry discovered from them. Any student in the Greek schools , mathematician college (world wide) in the first day in the classrooms teached as about the history of the Geometry:
Egyptians (2000 - 500 B.C.)
Ancient Egyptians demonstrated a practical knowledge of geometry through surveying and construction projects. The Nile River overflowed its banks every year, and the river banks would have to be re-surveyed.
Babylonians (2 000 - 500 B.C. )
Ancient clay tablets reveal that the Babylonians knew the Pythagorean relationships.
Greeks (750-250 B.C. )
Ancient Greeks practiced centuries of experimental geometry like Egypt and Babylonia had, and they absorbed the experimental geometry of both of those cultures. Then they created the first formal mathematics of any kind by organizing geometry with rules of logic. Euclid's (400BC) important geometry book The Elements formed the basis for most of the geometry studied in schools ever since.
As you see the Greeks just transform Geometry from experimental practice into formal mathematics. Greeks were the first who asked why is that ? and attempted to answer because this speaking about geometrical or natural matters as first time expressed from the Euclides.
As already said all these thinks teached in the 1st grand of the Greek High School.
ALPHABET
Greek never claims that invented the alphabet even some scholars support this theory.
The major difreent between Phoenician and the Greek is that the first is Consonantal Alphabetic when the second is a C&V Alphabetic.
Phoenician alphabet has no vowels.
Both scripts belong in Proto- Sinaitic family tree.
From the shape of the letters, it is clear that the Greeks adopted the alphabet the Phoenician script, mostly like during the late 9th century BCE.
In fact, Greek historian Herotodus (5th century BCE) called the Greek letters "phoinikeia grammata" (foinikia grammata), which means Phoenician letters,
When the Greeks adopted the alphabet, they found letters representing sounds not found in Greek. Instead of throwing them away, they modified the extraneous letters to represent vowels. For example, the Phoenician letter 'aleph (which stood for a glottal stop) became the Greek letter alpha (which stands for [a] sound).
There were many variants of the early Greek alphabet, each suited to a local dialect. Eventually the Ionian alphabet was adopted in all Greek-speaking states, but before that happened, the Euboeanvariant was carried to the Italic peninsula and adopted by Etruscan and eventually the Romans.
Early Greek was written right-to-left, just like Phoenician. However, eventually its direction changed to boustrophedon (which means "oxturning"), where the direction of writing changes every line. For instance, you start on the right of the tablet and writes leftward, and when you reach the leftmost end, you reverse your direction and starting writing toward the right. Even more confusing is that the orientation of the letter themselves is dependent on the direction of writing as well. In the above chart, the letters are drawn as if they were being written from left-to-right. If I were to write right-to-left, I would horizontally flip the letters (like in a mirror).
Boustrophedon was an intermediate stage, and by the 5th century BCE, left-to right was the de-facto direction of writing.
The Greek alphabet was also the basis for Glagolitic, Cyrillic, and Coptic scripts among others.
Strangely, the Greeks tried writing once before. Between 1500 and 1200 BCE, the Mycenaeans, an early tribe of Greeks, has adapted the Minoan syllabary as Linear B to write an early form of Greek.
However, the syllabary was not well suited to write Greek, and leaves many modern scholars scratching their heads trying to figure out the exact pronunciation of Mycenaean words. The alphabet, on the other hand, allowed more precise record of the sounds in the language
More information’s as about the scripts into:
http://www.ontopia.net/i18n/scripts.jsp
to be continued.........
GEOMETRY
Greeks never claimed that Geometry discovered from them. Any student in the Greek schools , mathematician college (world wide) in the first day in the classrooms teached as about the history of the Geometry:
Egyptians (2000 - 500 B.C.)
Ancient Egyptians demonstrated a practical knowledge of geometry through surveying and construction projects. The Nile River overflowed its banks every year, and the river banks would have to be re-surveyed.
Babylonians (2 000 - 500 B.C. )
Ancient clay tablets reveal that the Babylonians knew the Pythagorean relationships.
Greeks (750-250 B.C. )
Ancient Greeks practiced centuries of experimental geometry like Egypt and Babylonia had, and they absorbed the experimental geometry of both of those cultures. Then they created the first formal mathematics of any kind by organizing geometry with rules of logic. Euclid's (400BC) important geometry book The Elements formed the basis for most of the geometry studied in schools ever since.
As you see the Greeks just transform Geometry from experimental practice into formal mathematics. Greeks were the first who asked why is that ? and attempted to answer because this speaking about geometrical or natural matters as first time expressed from the Euclides.
As already said all these thinks teached in the 1st grand of the Greek High School.
ALPHABET
Greek never claims that invented the alphabet even some scholars support this theory.
The major difreent between Phoenician and the Greek is that the first is Consonantal Alphabetic when the second is a C&V Alphabetic.
Phoenician alphabet has no vowels.
Both scripts belong in Proto- Sinaitic family tree.
From the shape of the letters, it is clear that the Greeks adopted the alphabet the Phoenician script, mostly like during the late 9th century BCE.
In fact, Greek historian Herotodus (5th century BCE) called the Greek letters "phoinikeia grammata" (foinikia grammata), which means Phoenician letters,
When the Greeks adopted the alphabet, they found letters representing sounds not found in Greek. Instead of throwing them away, they modified the extraneous letters to represent vowels. For example, the Phoenician letter 'aleph (which stood for a glottal stop) became the Greek letter alpha (which stands for [a] sound).
There were many variants of the early Greek alphabet, each suited to a local dialect. Eventually the Ionian alphabet was adopted in all Greek-speaking states, but before that happened, the Euboeanvariant was carried to the Italic peninsula and adopted by Etruscan and eventually the Romans.
Early Greek was written right-to-left, just like Phoenician. However, eventually its direction changed to boustrophedon (which means "oxturning"), where the direction of writing changes every line. For instance, you start on the right of the tablet and writes leftward, and when you reach the leftmost end, you reverse your direction and starting writing toward the right. Even more confusing is that the orientation of the letter themselves is dependent on the direction of writing as well. In the above chart, the letters are drawn as if they were being written from left-to-right. If I were to write right-to-left, I would horizontally flip the letters (like in a mirror).
Boustrophedon was an intermediate stage, and by the 5th century BCE, left-to right was the de-facto direction of writing.
The Greek alphabet was also the basis for Glagolitic, Cyrillic, and Coptic scripts among others.
Strangely, the Greeks tried writing once before. Between 1500 and 1200 BCE, the Mycenaeans, an early tribe of Greeks, has adapted the Minoan syllabary as Linear B to write an early form of Greek.
However, the syllabary was not well suited to write Greek, and leaves many modern scholars scratching their heads trying to figure out the exact pronunciation of Mycenaean words. The alphabet, on the other hand, allowed more precise record of the sounds in the language
More information’s as about the scripts into:
http://www.ontopia.net/i18n/scripts.jsp
to be continued.........