Plato and Aristotle: Defining Rules for Western Cosmology

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Fate of “physics” after -500. ➤ Shift from cosmology to politics and ethics. (“What is the good life?”) ➤ The gods return. □ Influence of Plato and Aristotle.
Plato and Aristotle: Defining Rules for Western Cosmology

Raphael, School of Athens, 1510

Last time ... 

Initial ordering of the heavens Horizon phenomena for seasonal calendars in N. Europe during Stone and Bronze Ages  Zodiacal constellations for calendars in Babylonia  Decans for daily clocks in Egypt 



“Physics” of the pre-Socratics Underlying reality is simple, unified  Two fundamental questions 

– What is the substance of the cosmos? – How is change possible?

Took the gods out, natural ≠ supernatural  Introduced debate, criticism, skepticism 

Task of today’s lecture 

Fate of “physics” after -500 Shift from cosmology to politics and ethics (“What is the good life?”)  The gods return 



Influence of Plato and Aristotle Timaeus 2d best-seller (after Bible) to 1600  Aristotle provides core curriculum for universities until 1750  Defined basic conceptual frameworks for Western tradition 

Context in -4c philosophy 

Socrates (d. -399), the sophist Shifted attention from physics to politics  Itinerant teacher who challenged authority 



Plato (d. -347) and his Academy Philosophical community of scholars  No fees, no fixed curricula  Many religious ceremonies 



Aristotle (d. -322) and his Lyceum Studied for 20 years at Plato’s Academy  Collaborative research  Train political philosophers for state 

Plato on “physics” 

Why study physics? Practical utility  Cultivation of reason 

– “Allegory of the Cave” (Republic, VII)



Dualism of form/matter, soul/body Pythagorean origins (geometry is true not in drawn diagrams but in abstract ideas of line)?  Objectively real = unchanging perfect forms  Solves problem of change 

– Imperfect matter changes, perfect forms do not 

Elevates reason above empiricism – Truth arises from philosophical reflection, not sensory experience, experiment or observation

Allegory of the cave

Fire

Statues

Chained prisoners

Eternal forms (mind)

Sensory experience (body)

Cosmogony in the Timaeus  

Only coherent non-biblical cosmogony in Western tradition through 1100 An imagined story of origins, a creation myth 



A sensible world cannot be eternal

Three explanatory entities – Mind (demiurge, divine craftsmen, abstract mind--a literal but limited god?) – Eternal forms – Recalcitrant matter forces compromises 

Rational plan (telos) of geometry – Four roots become Pythagorean solids

Plato’s geometrical atomism

Combines Pythagorean five regular solids & Empedocles’ (fl. -450) four “elements” (types of unchanging matter)

Implications of Plato’s geometrical atomism     

Only one type of matter (like Thales) Explains change by rearranging triangles of air/water/fire atoms Mathematization of nature Plenum cosmos, no void or “empty space” Gods return as principle of order 



World Soul produces all motion in cosmos

Spherical cosmos of uniform motion Creates problem of “saving the phenomena” (e.g., retrograde motion of planets) using ONLY uniform, circular motion  Sets rules for doing astronomy for next 1900 years! 

Platos’s spherical cosmos

Eudoxus’s nested spheres  

First “working” model of cosmos following Plato’s rules, c. -400 Twenty-seven nested spheres for 7 planets – 1 for fixed stars – 3 each for Sun and Moon – 4 per planet (Mer, Ven, Sun, Moon, Mars, Jup, Sat)  



2 for Hippopede, “figure-8” that produces retrograde 1 for annual, 1 for daily motions

“Mechanics” very vague – Saves retrograde motion of planets – Does not save variable brightness of planets

Eudoxan “Hippopede” model

As inner sphere rotates CW around DD’ and outer sphere CCW around CC’, at same speeds, planet moves from 1 to 2 to 3 … to 8, tracing a ‘hippopede’ or horse fetter

Full Eudoxen planetary model A B

Sphere A = daily rotation Sphere B = period of planet Spheres C, D = retrograde motions

Aristotle’s critique of Plato Places reality in sensible objects, not invisible forms  Separates objects into: 

 Properties

(color, temperature, weight,etc)  Subjects (that which possesses properties)

Reason downplayed; sensory experience emphasized  Sought comprehensive philosophy 

A’s conceptual frameworks 

Explain change by 4 causes 

    

Formal, material, moving, final

Natural and forced motion Matter of 4 substances combined with 4 qualities Spherical earth at the center of a spherical cosmos Separate physics for the terrestrial and the celestial realms Eternal cosmos, no beginning or end of time

Aristotle on matter fire

hot

dry

earth

air

wet

cold

water

Aristotle’s two physics 

Celestial realm Perfect, changeless  Aetherial spheres (56 total)  Natural motion =circular  Unmoved mover acts continuously (God’s love) 



Terrestrial realm Imperfect, changeable  Fire-air-earth-water  Natural motion = up and down  Forced motion requires continuously acting movers 

Aristotle’s cosmos, 1540

“Physics” for Plato & Aristotle Differently value reason and experience  Seek coherent, consistent, comprehensive explanations  Brought back the gods (or agency), demiurge and unmoved mover  Defined key conceptual vocabulary  Separate “physics” for heavens/earth 

Minority Greek cosmologies 

Heraclides (d. -339) Earth at center, in daily rotation  Sun circles Earth, Venus/Mercury circle Sun; other planets circle Earth 



Aristarchus (d. -230) Sun at center (largest object)  All planets circle Sun 



Both widely ridiculed for violating Aristotle’s physics by moving the Earth