Ancient Greeks used pebbles alongside written numerals; the Metonic cycle reconciled calendars

Keith Critchlow | Time Stands Still: The Timeless Geometry of the Megalithic Arts | Mega 2007 AUDIO
Source: Keith Critchlow | Time Stands Still: The Timeless Geometry of the Megalithic Arts | Mega 2007 AUDIO by MegalithomaniaUK

Ancient Greeks used written numerals as well as pebble counters. Their systems included acrophonic numerals and alphabetic numerals, where alpha (Α) stood for 1 and beta (Β) for 2. No writings by Pythagoras survive, but Greek written numerals were in use throughout the eras of Pythagoras, Plato, Aristotle and Euclid. Greek kalkos meant a small stone or pebble; calculus is Latin for a counting stone. The video argues that pebble-based thinking influenced mathematics from Pythagoras through Euclid, and links seven to lunar cycles and twelve to the solar year before presenting 7 + 12 as the Metonic cycle. Historically, the Metonic cycle reconciled 235 lunar months with 19 solar years; it was not created by adding seven and twelve.

Key facts

  • Ancient Greeks used both acrophonic and alphabetic written numerals; alpha (Α) represented 1 and beta (Β) represented 2.
  • No writings by Pythagoras survive, but Greek written numerals were in use throughout the eras of Pythagoras, Plato, Aristotle and Euclid. The claim that these thinkers had no written numbers is false.
  • Greek kalkos meant a small stone or pebble. Calculus is Latin for a pebble or counting stone, not a Greek word.
  • The Metonic cycle reconciled 235 lunar months with 19 solar years. Its historical basis was not the addition of seven and twelve.
  • The video argues that pebble-based thinking influenced mathematics from Pythagoras through Euclid and links seven with lunar cycles and twelve with the solar year; these are the presenter’s interpretations.

Related stories

Sources

megalithomania.co.uk
Linked in video description
megalithomania.co.uk
Linked in video description
Greek numeralsen.wikipedia.org
Greek numerals, also known as Ionic, Ionian, Milesian, or Alexandrian numerals, is a system of writing numbers using the letters of the Greek alphabet : 30 ...
Greek Numerals -- from Wolfram MathWorldmathworld.wolfram.com
Greek numerals form a numeral system based on the 24 letters of the Greek alphabet plus three special signs called episemons--vau or digamma or stigma (6), ...
Interpreting Greek Numerals: Lesson for Kids - Videostudy.com
The ancient Greeks had two numeral systems. The acrophonic system was used until around 100 BCE and inspired the Roman numeral system.
Greek numeralsfuturelearn.com
The Greeks used two number systems, one mainly for currency and everyday counting and a more sophisticated number system which was used by the learned.
(PDF) Greek numerals and numeracyacademia.edu
In the archaic age, several numerical systems emerged of which two came to prevail: alpha- betic and acrophonic numerals.
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