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Greek philosophy: Socrates, Plato and Aristotle

Philosophy (BA) · Western philosophy · free study notes for exams, placements and interviews

In short

Greek philosophy of the classical period (5th–4th century BCE) is the point at which enquiry into nature turned into systematic questioning about knowledge, virtue, reality and the state. Socrates (c. 470–399 BCE) gave the West its method of cross-examination; Plato (c. 428–348 BCE) built the first full metaphysics and epistemology around the Forms; Aristotle (384–322 BCE) founded logic, biology, ethics as a discipline and political science. It is examined in UGC CBCS BA/MA Philosophy (Western Philosophy and History of Western Philosophy papers), UGC-NET/JRF Philosophy (Unit on Western philosophy), CUET-UG and CUET-PG, and UPSC Civil Services Philosophy optional Paper I; Aristotle's syllogistic and the square of opposition also appear in Logic papers and in the logical-reasoning sections of CAT, CLAT, bank and campus aptitude tests. For jobs, the reasoning and argument-analysis skills feed into teaching, law, journalism, policy research, UPSC General Studies Paper IV (Ethics), and the ethics and critical-thinking training run by Indian corporates.

Explained

Background: the pre-Socratics and the Sophists

Socrates: method and ethics

Plato: Forms, knowledge, soul and state

Aristotle: logic and metaphysics

Aristotle: ethics, politics, poetics

Key points

Formulas and examples

Standard-form categorical proposition = Quantifier + Subject term (S) + Copula + Predicate term (P)
A: All S are P (universal affirmative) · E: No S is P (universal negative) · I: Some S are P (particular affirmative) · O: Some S are not P (particular negative)
Distribution: A distributes S only · E distributes S and P · I distributes neither · O distributes P only
Syllogism: Major premise (P, M) + Minor premise (S, M) ⟹ Conclusion (S–P). M = middle term, in both premises, never in the conclusion. S = minor term, P = major term.
Figure = position of M: I (M–P, S–M) · II (P–M, S–M) · III (M–P, M–S) · IV (P–M, M–S)
Mood = the three letters in order, e.g. AAA. Total forms = 4 figures × 4³ moods = 256; valid = 24 in traditional logic (15 if existential import is disallowed, i.e. excluding the 9 that need a non-empty subject class).
Six rules of validity: (1) M must be distributed at least once; (2) a term distributed in the conclusion must be distributed in its premise; (3) two negative premises give no conclusion; (4) one negative premise ⟹ negative conclusion, and conversely; (5) two particular premises give no conclusion; (6) one particular premise ⟹ particular conclusion.
Square of opposition: A–O and E–I are contradictories (one true, one false) · A–E contraries (not both true) · I–O sub-contraries (not both false) · A→I and E→O subalternation (valid only with existential import).
Virtue (Aristotle) = the mean between excess and deficiency, *relative to the agent*, fixed by practical wisdom — NOT the arithmetic mean of the two extremes.

Example 1 — Test a syllogism for validity. Premises: "All philosophers are thinkers. All Greeks are philosophers." Conclusion: "All Greeks are thinkers."

  1. S = Greeks, P = thinkers, M = philosophers.
  2. Major: All M are P (A). Minor: All S are M (A). Conclusion: All S are P (A) → mood AAA, arrangement M–P, S–M → Figure I.
  3. Rule 1: M is the subject of the A-major, so it is distributed once — satisfied.
  4. Rule 2: S is distributed in the conclusion and also in the minor premise — satisfied; P is undistributed in both — satisfied.
  5. No negative or particular premise, so rules 3–6 are idle. Valid — AAA-1, Barbara.

Example 2 — Spot the fallacy. "All Platonists are idealists. All Hegelians are idealists. Therefore all Hegelians are Platonists."

  1. M = idealists; it is the predicate of two A-propositions, so undistributed in both.
  2. Rule 1 is broken: fallacy of undistributed middle.
  3. Check rule 2 too: P = Platonists is the predicate of an A-conclusion, so it is undistributed there (and distributed as subject of the major premise) — rule 2 is satisfied, so there is no illicit major. The undistributed middle alone makes it invalid.

Example 3 — Square of opposition. Given "All Forms are eternal" (A) is true, what follows?

  1. A and O are contradictories → "Some Forms are not eternal" (O) is false.
  2. A and E are contraries → "No Form is eternal" (E) is false.
  3. Subalternation A→I → "Some Forms are eternal" (I) is true (assuming the class of Forms is non-empty).

If instead the E-proposition is false, only its contradictory I is determined true; A and O remain undetermined.

Example 4 — The mean is not an average (NE II.6). A trainer must prescribe food. 10 minae of food a day is too much for most people; 2 minae is too little.

  1. Arithmetic mean = (10 + 2)/2 = 6 minae.
  2. Aristotle's point: the trainer does not automatically prescribe 6. For Milo the wrestler 6 may be deficient; for a beginner it may be excessive.
  3. So the mean "relative to us" might be 8 for Milo and 4 for the novice — fixed by *phronēsis* reading the particular case, not by calculation. Conclusion: the doctrine of the mean is not a formula for moderation.

Example 5 — Four causes applied to an Indian artefact. A terracotta diya from Khurja: material cause = clay; formal cause = the shape of a lamp with a wick-lip; efficient cause = the potter and the wheel; final cause = to hold oil and give light at Diwali. Removing the final cause leaves the object unexplained — which is why Aristotle insists all four are needed.

PlatoAristotle
UniversalsTranscendent, separate FormsImmanent forms in particulars
What is primary realityThe FormThe individual substance (matter + form)
KnowledgeRecollection; dialectic; distrusts the sensesBegins in sense-perception, rises by induction to first principles
MethodDialectic, a prioriEmpirical observation plus syllogistic demonstration
SoulImmortal, imprisoned in the body, tripartiteForm/first actuality of the body; three faculties
EthicsKnowledge of the Good; justice as internal harmonyHabituated virtue as a mean; eudaimonia; *phronēsis*
Best stateRule of philosopher-kings, guardians' communismMixed constitution, middle class, rule of law
ArtImitation of an imitation; poets banishedImitation of the universal; tragedy gives catharsis
Aristotelian syllogismNyāya *pañcāvayava* (five-membered)
Members3 (two premises, conclusion)5: *pratijñā, hetu, udāharaṇa, upanaya, nigamana*
Example neededNoYes — a concrete *udāharaṇa* is essential
BasisFormal relation of terms*Vyāpti* (invariable concomitance), psychologically and logically
PurposeDemonstration of a conclusionDemonstration *to another* (*parārthānumāna*)

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Related topics

Modern Western philosophy: rationalism, empiricism and Kant · Metaphysics and epistemology · Existentialism and phenomenology · Logic: categorical and symbolic · Indian philosophy: Nyāya and Vaiśeṣika · Ethics and political philosophy.

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