‘Let none but geometers enter here’
While Plato was publishing his dialogues, his Academy was researching and teaching sacred arithmetic and geometry. This explains the constant references to mathematics in the dialogues.
At the Platonic Academy of Melbourne we believe that a full understanding of Plato’s philosophy is only achieved by seeing and experiencing just how it was informed by the mystical mathematics practiced at Plato’s original Academy. This is why this very special course mixes discussion of the philosophical teaching with hands-on geometric drawing.
Join us for six small-group weekly sessions consisting of a talk, a discussion and then some drawing with compass and ruler.
Not for beginners: do Reading Plato first.
Wednesday Nights from 15 July 2020, 6:30 – 8pm Greek Community Centre, Melbourne Cancelled due to Covid-19 restrictions.
Week 1 | Overview of the Platonic arts
Philosophy: The medieval quadrivium (arithmetic, geometry, music, astronomy) from Plato Republic
Activity: Introduction to compass & ruler by drawing polygons
Week 2 | The shape of numbers: gnomic expansions
Philosophy: the hierarchy of numbers linear, plane and solid.
Activity: Gnomonic expansions of squares, triangles and lines
Week 3 | Ratio and proportion
Philosophy: the 4-term proportion, the 3-term continuous proportion & musical proportions
Activity: width-length geometric expansion and logarithmic spiral
Week 4 | Doubling of the square and the diagonal
Philosophy: Plato’s theory of learning-as-remembering
Activity: Doubling the square; √2 expansion; Spiral of Theodorus
Week 5 | Two-term proportion: the Golden Ratio
Philosophy: the Republic’s ‘Divided Line’
Activity: Finding the Golden Ratio in the line, Pentagon & Pentagram
Week 6 | Platonic solids, sacred geometry and Islamic design
Philosophy: The Platonic solids + Christian and Islamic design
Activity: A selection of sacred geometric designs