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The Timpson Lyceum · History of Philosophy (2024)

Gorgias: The Nihilist – Lecture 13 (History of Philosophy)

Overview

Gorgias of Leontini (c. 483–375 BC) — from the Sicilian city of Leontini, near Syracuse — is the second great Sophist and the one who pushes skepticism to its outer limit: he is remembered as the nihilist. A pupil of Empedocles (whom Aristotle called the father of rhetoric), Gorgias inherited a florid, poetic rhetorical style and made his name as a diplomat, winning a celebrated embassy to Athens in 427 BC on behalf of Leontini against Syracuse. A dazzling public performer who fielded anonymous questions on any subject, he was, like Protagoras, more showman of persuasion than seeker of truth — but where Protagoras made man the measure, Gorgias argues there is nothing to measure at all.

The heart of the lecture is Gorgias' treatise On Nature, or On the Non-Existent (also rendered On Non-Being), a deliberate parody-in-reverse of Parmenides that advances three cascading theses: (1) nothing exists; (2) even if something existed, it could not be known; (3) even if it could be known, it could not be communicated. Each stage concedes the previous one for the sake of argument and pushes further, dismantling metaphysics (being), epistemology (knowledge), and language (communication) in turn. Whether Gorgias meant it as sincere philosophy or as a virtuoso demonstration that one can argue anything, later thinkers took the arguments seriously — and they crystallize the self-undermining character of radical skepticism, since a book that communicates the claim "nothing can be communicated" refutes itself in the act.

Key Concepts

Worked Example

The three-stage argument of On Nature, or On Non-Being, set out formally. Let E(x)E(x) = "xx exists," K(x)K(x) = "xx can be known," C(x)C(x) = "xx can be communicated."

Stage 1 — Nothing exists:  ¬∃x E(x).\ \neg\exists x\,E(x).

  1. Consider non-being. Suppose non-being exists. Then it both is (it exists) and is-not (it is non-being): E(nb)∧¬E(nb)E(\text{nb}) \wedge \neg E(\text{nb}) — a contradiction. Hence non-being does not exist.
  2. Consider being, and suppose it exists. Being must be eternal or created. If eternal, it has no beginning, so it is unbounded; the unbounded is in no container, hence in no place; what is nowhere does not exist — contradiction. If created, there was a prior time containing only non-being; but non-being cannot be (step 1) — contradiction. So being is neither eternal nor created, and therefore does not exist.
  3. Being must also be one or many. If one, it has magnitude, and magnitude is infinitely divisible, hence many — contradiction. If many, it is a collection of ones, but no single "one" is possible — contradiction. So being is neither one nor many, and does not exist.
  4. Since neither being nor non-being exists, nothing exists:

¬E(being)∧¬E(non-being)  ⇒  ¬∃x E(x).\neg E(\text{being}) \wedge \neg E(\text{non-being}) \;\Rightarrow\; \neg\exists x\,E(x).

Stage 2 — If anything existed, it could not be known:  ∀x(E(x)→¬K(x)).\ \forall x\big(E(x) \rightarrow \neg K(x)\big).

  1. To comprehend xx is for xx to be a concept of the mind: K(x)→Concept(x)K(x) \rightarrow \text{Concept}(x); contrapositive, ¬Concept(x)→¬K(x)\neg\text{Concept}(x) \rightarrow \neg K(x).
  2. But the mind conceives non-realities (a chariot on the sea): if concepts were realities, these fictions would exist. Since they do not, concepts are not realities — the objects of thought fail to track what is. Hence, granting E(x)E(x) for argument, xx is not captured as a concept, so ¬K(x)\neg K(x).

Stage 3 — If anything were known, it could not be communicated:  ∀x(K(x)→¬C(x)).\ \forall x\big(K(x) \rightarrow \neg C(x)\big).

  1. Existing things are grasped through percepts; communication runs through speech (logos); and speech is distinct from the perceptible object: Speech≠Percept\text{Speech} \neq \text{Percept}.

  2. Faculties do not transfer content across kinds — sight cannot deliver sound. Likewise speech, being its own kind, delivers only speech, never the percept: hearing "the dog is thirty feet long" conveys no perception of any dog. Therefore what is known cannot be handed to another: ¬C(x)\neg C(x).

  3. Chaining the three stages:

¬∃x E(x) ∧ (E(x) ⁣→ ⁣¬K(x)) ∧ (K(x) ⁣→ ⁣¬C(x)).\neg\exists x\,E(x)\ \wedge\ \big(E(x)\!\rightarrow\!\neg K(x)\big)\ \wedge\ \big(K(x)\!\rightarrow\!\neg C(x)\big).

Nothing is; if it were, it could not be known; if known, it could not be told. Radical skepticism reaches its terminus — and, by being written down and read, performatively refutes its own third thesis. ■\blacksquare

Summary