Konstrukcije:
- Geometry is the basis of everything
- Numbers arise from the geometry
- Constructable numbers
- Famous problems:
    Squaring the circle
    Trisecting an angle
    Doubling the cube

- 17 - gon (heptagon) construction

Zeno of Elea:
- Famous Zeno's paradoxes
- reductio ad absurdum
- Achilles and the tortoise
- Dichotomy paradox
- Arrow paradox
- "if everything that exists has a place, place too will have a place, and so on ad infinitum" - Aristotel

Diophantus
- "the father of algebra"
- forgotten during the Dark Ages
- puzzle of Metrodorus:
    'Here lies Diophantus,' the wonder behold.
    Through art algebraic, the stone tells how old:
    'God gave him his boyhood one-sixth of his life,
    One twelfth more as youth while whiskers grew rife;
    And then yet one-seventh ere marriage begun;
    In five years there came a bouncing new son.
    Alas, the dear child of master and sage
    After attaining half the measure of his father's life chill fate took him.
    After consoling his fate by the science of numbers for four years, he ended his life.'
- Arithmetica
- Polygonal numbers