Practice question · Multiple choice
The Milesians identified the primary principle with a material substance, whereas the Pythagoreans identified it with number. What follows from this shift for what it means to explain a natural phenomenon?
Hints
- What makes two notes sound harmonious to the Pythagorean ear rather than simply different?
- Did the musical discovery point towards what things are composed of, or how they are structured?
Show the answer
D. Explanation shifts from identifying constituent matter to discovering formal ratios
Why
The Milesians sought a material substratum, but the Pythagoreans showed that properties like musical consonance depend on mathematical proportion rather than matter. Confusing this with elemental reduction or teleology misses that formal order itself became the explanatory principle.
Practise Pythagoras and Early Pythagoreanism
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More questions on Pythagoras and Early Pythagoreanism
- A string of length 60 cm sounds a note. What length, in centimetres, sounds the octave above it?
- Why was the discovery of incommensurable magnitudes so damaging to Pythagoreanism?
- Arrange the steps of the classical proof that the square root of two is irrational.
- Which were features of the Pythagorean community?
- The Pythagoreans kept their mathematics strictly separate from their religious practice.
- Match each musical interval to its string-length ratio.
- Sort each claim by whether the Pythagoreans could maintain it after the discovery of incommensurables.