Parmenides

Παρμενίδης
by Plato
c. 370–360 BCEAncient Greek

Parmenides is a Platonic dialogue in which the elderly Eleatic philosopher Parmenides, accompanied by Zeno, examines the young Socrates’ emerging theory of Forms and then conducts a rigorous series of dialectical hypotheses concerning the One. In the first, shorter part, Parmenides raises powerful objections to the theory of Forms—questioning how Forms can relate to particulars without generating infinite regresses or violating their supposed unity and separateness. In the second, much longer part, Parmenides leads the young Aristoteles (not Aristotle the philosopher) through a systematic exercise in dialectic: starting from the hypotheses that the One is and that the One is not, he derives a complex network of paradoxical consequences about being, non‑being, unity, plurality, motion, rest, time, likeness, and unlikeness. The dialogue offers no explicit resolution, instead displaying dialectic as a demanding method for training philosophers and probing fundamental metaphysical concepts.

At a Glance

Quick Facts
Author
Plato
Composed
c. 370–360 BCE
Language
Ancient Greek
Status
copies only
Key Arguments
  • Critique of the Theory of Forms: Parmenides challenges Socrates’ notion that for each general predicate there is a separate, self-subsisting Form by raising problems about participation, separateness, and the so‑called “Third Man”–style regress, suggesting that Forms may become too many and lose explanatory power.
  • Participation and the One-over-Many Problem: The dialogue interrogates how many things can partake in a single Form (e.g., Largeness or Likeness) without that Form itself becoming many, exposing tensions between the unity of Forms and their role as shared universals.
  • Self‑Predication and Infinite Regress: Through examples such as the Large and the Largeness‑itself, Parmenides argues that if Forms are what their participants are, one risks an infinite series of higher-order Forms, undermining the simplicity and uniqueness of each Form.
  • Dialectical Method via Hypotheses: The second part of the dialogue presents dialectic as a systematic examination of the consequences of opposite hypotheses (the One is / is not), showing that philosophical understanding requires training in tracing all possible implications, even highly paradoxical ones.
  • Paradoxes of the One and the Many: By deducing conflicting attributes—such as the One being both limited and unlimited, in motion and at rest, both temporal and atemporal—the dialogue exposes deep puzzles about unity, plurality, and being, influencing later metaphysics and logic.
Historical Significance

Parmenides has been pivotal for the history of metaphysics, logic, and the interpretation of Plato’s own theory of Forms. Its sophisticated critique of Forms shaped Aristotle’s objections to separate universals and influenced later discussions of universals, participation, and self‑predication. The dialectic of the One and the many became central to Middle and Neoplatonic metaphysics, informing Plotinus’ doctrine of the One and Proclus’ systematic commentaries. In modern scholarship, the dialogue is a test case for reconstructing the development of Plato’s thought and the relationship between Eleatic monism and Platonic Forms, as well as a foundational text for studies of logical paradoxes and negative theology.

Famous Passages
Parmenides’ Critique of the Theory of Forms (including the Third Man–style regress)(130a–135d)
Parmenides on the Need for Dialectical Training(135d–137c)
Opening Scene with Parmenides, Zeno, and Young Socrates(126a–128e)
The Eight (or Multiple) Hypotheses on the One(137c–166c)
Key Terms
Parmenides: An Eleatic philosopher from Elea, presented in the dialogue as an elderly, highly respected thinker who critiques Socrates’ theory of Forms and conducts the dialectical exercise on the One.
[Zeno of Elea](/philosophers/zeno-of-elea/): Parmenides’ associate and fellow Eleatic, known for paradoxes against plurality and motion; in the dialogue he reads from his treatise defending Eleatic monism.
[Socrates](/philosophers/socrates-of-athens/) (young Socrates): A youthful Socrates who tentatively presents a theory of Forms and faces Parmenides’ searching criticism, highlighting the need for dialectical training.
Aristoteles (the young Aristoteles): A young member of the audience chosen by Parmenides as interlocutor in the second part; he is not the later philosopher [Aristotle](/philosophers/aristotle-of-stagira/) but an otherwise obscure character.
Form (εἶδος / ἰδέα): A separate, intelligible entity such as the Just‑itself or Beautiful‑itself, posited by Socrates as the one over the many [particulars](/terms/particulars/) that share a common feature.
Participation (μέθεξις): The relation by which particular things are said to partake in a Form, raising puzzles in the dialogue about how many can share in one Form without making it many.
The One (ἕν): The central subject of the dialectical exercise; a principle of unity whose being or non‑being is hypothesized to derive paradoxical consequences about unity, plurality, and being.
The Many / the Others (τὰ πολλὰ / τὰ ἄλλα): The multiplicity of things contrasted with the One, whose properties are explored under various hypotheses to expose tensions between unity and plurality.
[Third Man argument](/arguments/third-man-argument/): A [regress problem](/arguments/regress-argument/) suggested in Parmenides’ critique: if particulars and the Form are alike in [virtue](/terms/virtue/) of that Form, another higher Form seems required, leading to an infinite series.
Self‑[predication](/terms/predication/): The principle that a Form possesses the property it causes in particulars (e.g., Largeness is large), which in the dialogue contributes to regress and unity problems.
[Dialectic](/terms/dialectic/) (διαλεκτική): A rigorous method of philosophical inquiry in which one systematically examines the consequences of hypotheses, both affirming and denying them, as demonstrated by Parmenides.
Eleatic monism: The doctrine, associated with [Parmenides of Elea](/philosophers/parmenides-of-elea/), that reality is fundamentally one and unchanging, opposed to [belief](/terms/belief/) in plurality and change, and critically engaged by [Plato](/philosophers/plato/).
Likeness and Unlikeness (ὁμοιότης / ἀνομοιότης): Relational properties used in the dialogue’s arguments about Forms and participation, particularly in puzzles about how many things can be alike through one Form.
Motion and Rest (κίνησις / στάσις): Opposed predicates examined in the hypotheses about the One, leading to paradoxes where the One appears both in motion and at rest depending on how it is considered.
Hypothesis (ὑπόθεσις): A provisional assumption (e.g., that the One is or is not) used as a starting point for dialectical examination, whose consequences are then rigorously derived.

1. Introduction

Plato’s Parmenides is widely regarded as one of the most difficult and enigmatic of his dialogues. It stages an encounter between a youthful Socrates and the Eleatic philosophers Parmenides and Zeno, in which Socrates’ emerging theory of Forms is rigorously examined and subjected to searching criticism. In its second and much longer part, the dialogue presents an elaborate dialectical exercise on the One and the many, exploring the implications of opposite hypotheses about the being and non‑being of unity.

Scholars commonly treat the dialogue as a pivotal text for understanding Plato’s metaphysics and method. It juxtaposes:

  • an exploratory, “early”‑seeming account of Forms,
  • a powerful critique of that account, and
  • a highly formal sequence of arguments whose status—logical, metaphysical, or theological—remains contested.

Because the dialogue ends without a doctrinal resolution, it has been read in strikingly different ways. Some interpreters view it as Plato’s self‑critique of the theory of Forms, others as a propaedeutic to a more refined metaphysics, and still others as primarily a display of dialectic for training philosophers.

The Parmenides is also central for the history of Eleaticism, since it dramatizes an encounter between Socratic–Platonic philosophy and the monism of Parmenides of Elea. Later Platonists, especially Neoplatonists, treated it as a key to Plato’s theology of the One, while modern commentators have mined it for insights into issues of universals, participation, logical paradox, and the nature of being and non‑being.

This entry examines the dialogue’s historical background, dramatic structure, major arguments, and subsequent interpretation, presenting the principal scholarly views on each topic without endorsing any single reading.

2. Historical Context and the Eleatic Background

2.1 Eleatic Philosophy

The dialogue presupposes the doctrines of the historical Parmenides of Elea and his associate Zeno. Parmenides’ own poem, as reconstructed from fragments, advances Eleatic monism: reality is one, ungenerated, indestructible, unchanging, and homogeneous. Change, plurality, and coming‑to‑be are relegated to the deceptive realm of opinion (δόξα).

Zeno’s arguments, known from later reports and echoed in the dialogue, aim to defend Parmenides’ monism by showing that assuming plurality or motion leads to contradictions (e.g., the paradoxes of Achilles and the tortoise, the dichotomy, and the arrow).

Eleatic ThesisCharacteristic Claim
MonismWhat truly is, is one and indivisible.
ImmutabilityWhat is cannot change or move.
RationalismReason, not the senses, discloses being.

2.2 Plato’s Intellectual Milieu

The Parmenides was composed within the environment of Plato’s Academy in the 4th century BCE, when debates about Eleatic doctrines, Pythagorean mathematics, and Socratic ethics intersected. The dialogue reflects contemporary concerns about:

  • how to reconcile Eleatic strictures against change and plurality with common‑sense experience,
  • how to articulate a theory of Forms that preserves unity while explaining the many.

Some scholars suggest that Plato is here confronting Eleatic objections that had become pressing within the Academy; others see him appropriating Eleatic rigor to refine his own metaphysics.

2.3 Plato’s Engagement with Eleaticism

Interpreters differ on how the Parmenides positions Plato relative to Eleatic thought:

  • One view holds that the dialogue stages a dialectical confrontation, in which Parmenides’ methods are adopted but his strict monism is ultimately to be transcended by a richer account of Forms.
  • Another interpretation sees the second part as continuous with Eleatic metaphysics, elaborating a hierarchy of unity in a way compatible with Parmenidean being.
  • A more skeptical reading regards the dialogue as a critical testing ground, using Eleatic arguments to expose tensions both in Eleatic monism and in naïve Platonism, without endorsing either.

In all these perspectives, the Eleatic background functions as both a challenge and a resource for Plato’s exploration of unity, plurality, and being.

3. Author, Composition, and Dramatic Setting

3.1 Authorship and Date

The Parmenides is universally attributed to Plato. Stylistic analysis and its sophisticated handling of Forms and dialectic have led most scholars to classify it among his late dialogues, typically dated c. 370–360 BCE. Some dissenting views place it slightly earlier, but the consensus links it with works such as the Sophist, Statesman, and Theaetetus in thematic and stylistic terms.

Arguments for a late date include:

Evidence TypeIndication
Style and vocabularyCloseness to Sophist and Philebus.
Philosophical contentSophisticated critique and refinement of the theory of Forms.
Dramatic choicesUse of elaborate frame narrative and retrospective setting.

3.2 Dramatic Frame and Narrators

The dialogue is unusual in employing a double narrative frame. The main philosophical conversation between Parmenides, Zeno, and young Socrates in Athens is not narrated directly but reported:

  1. Cephalus of Clazomenae recounts the conversation to Adeimantus and others.
  2. Cephalus himself learned it from Antiphon, who in turn had memorized the dialogue from Pythodorus, an eyewitness host of the original meeting.

“Pythodorus told Antiphon… Antiphon, who heard it from Pythodorus, told it to us.”

— Plato, Parmenides 126b–c (paraphrase)

This layered transmission raises questions, discussed in scholarship, about historicity and about Plato’s interest in oral preservation of philosophical discussions.

3.3 Time and Place of the Action

Dramatically, the core conversation is set decades before Plato’s own time, during a visit of Parmenides and Zeno to Athens, when Socrates is very young (perhaps in his late teens). The venue is the house of Pythodorus in the deme of Cerameicus. The framing conversation with Cephalus and Adeimantus occurs still later, in what appears to be Plato’s own generation.

Interpreters note that this temporal distancing allows Plato to stage:

  • an anecdotal encounter between prominent historical figures who could not in fact have met in this way, and
  • a retrospective perspective on the early Socrates, whose views can be portrayed as provisional and in need of refinement.

The elaborate setting thus supports Plato’s exploration of philosophical development, both personal (Socrates’) and doctrinal (the theory of Forms).

4. Structure and Organization of the Dialogue

4.1 Bipartite Overall Structure

Most commentators divide the Parmenides into two major parts:

PartStephanusFocus
I126a–135d (sometimes to 137c)Dramatic prologue; Zeno’s book; Socrates’ sketch of Forms; Parmenides’ critique and methodological advice.
II137c–166cParmenides’ demonstration of dialectical method via hypotheses on the One and the others.

Some propose finer subdivisions, but there is wide agreement that the shift at 137c—from discussion about Forms to the extended hypothesis‑testing exercise—is structurally decisive.

4.2 Internal Organization of Part I

Within the first part, the dialogue moves through a clear sequence:

  1. Dramatic introduction and Zeno’s reading (126a–130a): establishes the Eleatic background and Socrates’ initial response.
  2. Socrates’ presentation of Forms (130a–131e): outlines the early doctrine.
  3. Parmenides’ critical questions (131e–135d): participation, Third Man‑style regress, and separation.
  4. Transition to method (135d–137c): Parmenides prescribes dialectical training and proposes an exercise.

This progression allows the text to move from relatively concrete metaphysical claims to increasingly abstract methodological concerns.

4.3 Internal Organization of Part II

The second part consists of a sequence of hypotheses about the One and the others. Ancient and modern readers have parsed this sequence in different ways:

  • A widespread modern scheme identifies eight hypotheses, usually grouped under the overarching assumptions “if the One is” and “if the One is not.”
  • Others reduce them to four larger blocks, emphasizing thematic continuity over finer divisions.

Despite these disagreements, there is broad agreement that the hypotheses systematically vary:

  • whether the One or the others are the primary subject,
  • whether the One is considered in itself or in relation to others, and
  • whether the One is assumed to be or not to be.

The formal, almost mathematical organization of this section has contributed to the dialogue’s reputation for intellectual rigor and opacity.

5. Characters and Dramatic Roles

5.1 Main Dramatic Figures

The key figures in the dialogue and their roles are:

CharacterRole in Dialogue
Parmenides (of Elea)Elderly Eleatic philosopher; critic of Socrates’ Forms; demonstrator of dialectical method.
Zeno (of Elea)Parmenides’ associate; author of a treatise against plurality; prompts Socrates’ initial response.
Socrates (young)Proponent of a nascent theory of Forms; interlocutor in the first part; observer in the second.
Aristoteles (the young Aristoteles)Chosen as Parmenides’ interlocutor for the hypotheses on the One.
Cephalus, Adeimantus, Glaucon, othersParticipants in the outer frame, preserving and transmitting the conversation.
Pythodorus and AntiphonLinks in the chain of transmission for the inner dialogue.

5.2 Parmenides as Instructor

Parmenides is portrayed as both formidable critic and pedagogical guide. In the first part, he presses Socrates with objections about Forms; in the second, he adopts a didactic stance, leading the younger Aristoteles through the dialectical exercise. Many interpreters view him as a dramatic embodiment of rigorous dialectic, whether or not Plato intends to endorse his substantive doctrines.

5.3 Socrates as Learner

The depiction of Socrates as very young and philosophically immature is distinctive. His theory of Forms appears in “sketch” form, and he is explicitly said to lack dialectical training. This allows Plato to:

  • distance the tentative theory from the more developed positions of other dialogues,
  • dramatize philosophical growth through exposure to criticism.

Some scholars see this as signaling that the views criticized are not Plato’s final word on Forms; others caution against reading the dramatic role as straightforward autobiography.

5.4 Zeno and Aristoteles

Zeno’s presence underscores the Eleatic setting and provides a foil for Socrates: his written arguments against plurality prompt Socrates’ appeal to Forms. Aristoteles, by contrast, serves primarily as a responsive partner for Parmenides in the second part. His relative silence and compliance highlight the formal character of the hypothesis‑testing, with little independent philosophical contribution.

5.5 The Frame Characters

Cephalus, Adeimantus, Antiphon, and Pythodorus collectively emphasize themes of memory, transmission, and the preservation of philosophical discussions. Some interpreters see their roles as reinforcing the dialogue’s concern with how subtle arguments are learned and passed down, while others regard the frame as a largely literary device marking the text as an advanced, esoteric discussion.

6. The Early Theory of Forms in the First Part

6.1 Socrates’ Sketch of the Forms

Prompted by Parmenides, the young Socrates outlines a nascent theory of Forms (130a–131e). He suggests that for each general predicate or kind—such as Just, Beautiful, Good—there exists a corresponding Form (εἶδος/ἰδέα), a separate, intelligible entity that accounts for the many particular things called by that name.

“I am often puzzled, Parmenides, whether there are Forms for things, and whenever I turn my mind to them they seem to me to be of a sort…”

— Plato, Parmenides 130b–c (paraphrase)

Socrates characterizes Forms as:

  • one over many: a single F‑itself in virtue of which many things are F,
  • separate from particulars: existing “itself by itself”,
  • causally explanatory: particulars are F by “participating” in the relevant Form.

6.2 Selective Admission of Forms

A notable feature is Socrates’ selectivity about which predicates have Forms:

  • He confidently posits Forms for ethical and aesthetic qualities (Just, Beautiful, Good) and for some natural kinds (Man, Fire).
  • He expresses doubt about Forms for trivial or base things such as hair, mud, and filth (130c–d).
  • He is uncertain about Forms for artifacts (e.g., beds, tables), anticipating puzzles seen elsewhere in Plato.

This selectivity raises questions about the criteria for Formhood. Some scholars argue that Socrates implicitly privileges what is normatively significant or value‑laden; others see this hesitation as evidence that the theory is still under development.

6.3 Participation and Self‑Predication

Socrates employs the notion of participation (μέθεξις) to explain the relation between Forms and particulars: a beautiful thing is beautiful by “sharing in” the Beautiful‑itself. He also appears to accept self‑predication: the Form itself is F (e.g., the Beautiful is beautiful).

These features later become focal points for Parmenides’ criticism. Interpreters disagree whether Socrates is here voicing Plato’s own early views or a deliberately simplified version designed to be tested and refined. In any case, the first part presents a relatively straightforward, if schematic, account of Forms that contrasts sharply with the technical dialectic of the second part.

7. Parmenides’ Critique: Participation, Regress, and Separation

7.1 Problems about Participation

Parmenides first targets the relation of participation (131e–132b). He asks how many things can partake in a single Form without making it many. If a large number of large things are large by participating in Largeness‑itself, does the Form become spread out and thus somehow multiple? Various options—participating in the whole Form, in a part of it, or by “being like” it—each face difficulties, which Parmenides systematically exposes.

7.2 Regress and the “Third Man”‑Style Argument

A central strand (132a–b, 132d–133a) is often identified with the later Third Man argument. Roughly:

  1. Many large things are large by participating in Largeness‑itself.
  2. The Form and the particulars are all alike in being large.
  3. By the one‑over‑many principle, this group seems to require a further Form—Largeness2—in virtue of which they are all large.
  4. This reasoning can be repeated ad infinitum, producing an infinite series of Largeness‑Forms.

Proponents of the “Third Man” interpretation see this as undermining the explanatory unity of Forms. Some scholars, however, argue that Plato intends only to flag a specific assumption (e.g., naive self‑predication or a certain likeness principle) as problematic, not the entire notion of Forms.

7.3 Separation and the “Great Difficulty”

Parmenides next considers the separation of Forms from particulars (133a–134e). If Forms exist in a distinct realm—“with the gods,” as Socrates suggests—then several puzzles arise:

  • Epistemological: How can humans know these Forms if they are in a separate realm?
  • Causal/Explanatory: How can Forms be causes of what happens here if they do not interact with us?
  • Relational: If gods know their own Forms and we know ours, there may be two disconnected domains of knowledge.

“You see, Socrates, that you have not yet adequately trained yourself for such an investigation… This is the greatest difficulty regarding the Forms.”

— Plato, Parmenides 133b–c (paraphrase)

Some interpreters see Parmenides as pressing an epistemic gap objection that anticipates Aristotle’s criticism of separated universals. Others hold that the critique is internal: Plato is testing whether Forms can be both separate and yet relevant to the sensible world.

7.4 Interpretative Assessments

Scholars diverge on how to understand the force of these criticisms:

  • One influential line reads them as devastating for the naive theory presented by Socrates, forcing a substantial revision of the doctrine of Forms.
  • Another suggests they are pedagogical rather than destructive, designed to push Socrates (and readers) toward more refined notions of participation and predication.
  • A more skeptical view contends that the arguments also expose tensions in Eleatic assumptions, so that no straightforward alternative is endorsed.

In all readings, this section functions as a major ancient critique of robust, separate universals.

8. Philosophical Method: Dialectic and Hypothesis‑Testing

8.1 Parmenides’ Pedagogical Prescription

After presenting his objections, Parmenides attributes Socrates’ difficulties to a lack of dialectical training (135d–137c). He proposes a demanding method whereby one:

  • takes a hypothesis about any entity or concept (e.g., the One),
  • examines what follows if it is and if it is not,
  • and does so both in relation to itself and in relation to others.

This propaedeutic is portrayed as necessary for attaining a firm grasp of Forms and being.

8.2 The Structure of Dialectical Inquiry

Parmenides’ description suggests a systematic, almost combinatorial procedure:

DimensionVariants
Status of hypothesisIt is; it is not
ReferenceItself; others; others in relation to it; it in relation to others

He insists that this pattern be applied broadly—to just, beautiful, good, and anything else one posits—as a rigorous exercise in logical consequence.

“You must examine each hypothesis both in relation to itself and in relation to others, whether it is or is not…”

— Plato, Parmenides 136a–b (paraphrase)

8.3 Interpretative Views of the Method

There is significant debate about how this dialectic relates to Plato’s method in other dialogues:

  • Some see it as spelling out the hypothesis‑testing foreshadowed in works like the Republic (VI–VII) and more fully developed in the Sophist and Statesman: a procedure for ascending from hypotheses to first principles.
  • Others treat it as a more technical, logical exercise, closer to a study of modalities of predication than to metaphysical ascent.
  • A further view, often associated with Neoplatonists, regards the method as a theological ladder, where successive hypotheses delineate levels of reality (from the absolutely One down to the sensible many).

Modern scholars also differ about whether the method is intended primarily as:

  • an educational tool for training philosophical judgment,
  • a testing ground for doctrines (such as Eleatic monism or Forms),
  • or a neutral logical calculus that can be applied regardless of metaphysical commitments.

In all interpretations, the second part of the dialogue operationalizes this method, using the One as the subject of a model exercise.

9. The Hypotheses on the One: Overview

9.1 General Scheme

From 137c to 166c, Parmenides conducts a systematic examination of hypotheses concerning the One and the others. While ancient and modern commentators differ in their subdivisions, a common modern classification identifies eight hypotheses:

Hypothesis (modern label)Rough Content (very schematic)
1. If the One is, considered itselfThe absolutely One is beyond parts, magnitude, motion, and time.
2. If the One is, in relation to othersThe One appears to possess many contradictory attributes when related to others.
3–4. Consequences for the others if the One isThe others, given the One’s being, have complex, often paradoxical properties.
5–8. Consequences if the One is notEven under the denial of the One’s being, both the One and the others yield intricate, conflicted predicates.

Not all scholars accept this eightfold breakdown; some reduce or rearrange the groupings, but the overarching alternation between being / not being and One / others is widely recognized.

9.2 Aims and Features

The hypotheses share several characteristic features:

  • They proceed by reductive reasoning, drawing out consequences of each assumption.
  • They generate sets of apparently inconsistent or mutually incompatible predicates (e.g., the One is both at rest and in motion).
  • They switch between considering the One in abstraction and as engaged with plurality.

Interpreters disagree about the purpose and status of these features:

  • Some regard them as displaying logical tensions inherent in notions like unity, plurality, and being.
  • Others see them as mapping ontological levels or modes of participation in the One.
  • Yet others take them primarily as training exercises in following complex inferential chains.

9.3 Relation to the First Part

The hypotheses are explicitly introduced as an illustration of the dialectical method prescribed after Parmenides’ critique of Forms. However, how they connect substantively to that critique is disputed:

  • One line of interpretation sees the exercise as indirectly clarifying problems about participation and separation, by exploring what follows when an ultimate principle (the One) is posited or denied.
  • Another maintains that the second part is largely independent, functioning more as a logical treatise inserted into a dramatic frame.

In any case, this section offers Plato’s most elaborate exploration of the conceptual interrelations among unity, multiplicity, and being.

10. First and Second Hypotheses: The One in Itself and in Relation to Others

10.1 First Hypothesis: The One in Itself (137d–142a)

Under the first hypothesis, Parmenides considers “if the One is”, but restricts attention to the One in itself, without regard to others. He derives a series of conclusions:

  • The One has no parts, since parts would make it many.
  • It has no magnitude (neither great nor small), as magnitude presupposes divisible extension.
  • It has no shape, since shape requires limits and distinct extremities.
  • It is neither in something nor in itself, as spatial inclusion or self‑containment imply plurality.
  • It is neither in motion nor at rest, because both states presuppose relation to place or to other things.
  • It is not in time: it does not become older or younger, nor does it undergo change.

These results portray the One as a kind of utterly transcendent unity, stripped of all predicates associated with plurality, change, or relation. Some interpreters associate this with a “negative theology” of the One; others caution that the text simply shows what follows from a strict construal of absolute unity.

10.2 Second Hypothesis: The One in Relation to Others (142b–155e)

The second hypothesis still assumes that the One is, but now considers it in relation to the others. Here the conclusions are strikingly different and often paradoxical:

  • The One appears to be both one and many, as it is related to others that are themselves plural.
  • It is both limited and unlimited, since its relations generate boundaries, yet its connections extend indefinitely.
  • It is in motion and at rest, depending on whether one focuses on its changing relations or its own identity.
  • It is like and unlike, the same and different, in various respects.
  • It participates in time, becoming older and younger relative to others.

These opposing predicates arise from shifting perspectives: considering the One as it appears within a network of relations versus as it is in itself. Many scholars see this hypothesis as dramatizing how participation in plurality complicates the status of unity. Others interpret it as revealing the relative and context‑dependent nature of many predicates.

10.3 Interpretative Significance

The contrast between the first and second hypotheses has been read in several ways:

  • As distinguishing an absolute One (beyond all predicates) from a relative or participated One that structures the realm of beings.
  • As showing that attempts to treat unity as a thing among things inevitably generate contradictions.
  • As a logical exploration of how attributing properties to a subject changes when one shifts from intrinsic to relational descriptions.

Neoplatonic readers in particular used this contrast to ground multi‑level ontologies, while some modern interpreters prefer a more modest, logical reading focused on predication and perspective.

11. Later Hypotheses: The One Not Being and Consequences for the Many

11.1 Hypotheses Under “If the One Is”

Before turning to the non‑being of the One, Parmenides explores further consequences for the others assuming that the One is (often labeled the third and fourth hypotheses, 155e–163b). These sections derive complex properties for the many:

  • The others are both one and many, possessing unity in each thing and multiplicity across them.
  • They are limited and unlimited, in motion and at rest, and subject to temporal predicates.
  • Their status depends on their relations to the One and to each other.

Interpreters generally see these hypotheses as complementing the first two by examining how the being of the One conditions the ontological profile of plurality.

11.2 Hypotheses Under “If the One Is Not” (163b–166c)

The final set of hypotheses assumes that the One is not and investigates the resulting consequences for both the One and the others. Surprisingly, even under this denial, Parmenides argues that:

  • The One must in some sense be, at least as the object of denial or as something spoken of.
  • It acquires a host of negative and relational properties, being said to be “not this,” “not that,” and so on.
  • The others, in the absence of the One, still appear to be many, but their plurality becomes unstable and riddled with contradictory predicates.

The arguments yield paradoxical outcomes, such as the suggestion that if the One is not, it both is and is not, and that the others are likewise caught in tensions between being and non‑being.

11.3 Logical and Metaphysical Readings

There is no consensus on how to interpret these results:

  • A logical reading treats the arguments as revealing constraints on denial, negation, and reference: even to deny that something is requires, in some way, presupposing it.
  • A metaphysical interpretation views the non‑being of the One as articulating lower levels of reality where unity is attenuated but not entirely absent.
  • A more skeptical view regards the later hypotheses as reductio arguments, showing that denying the One’s being leads to incoherence for both unity and plurality.

In all cases, the later hypotheses intensify the dialogue’s exploration of how being, non‑being, and unity are conceptually intertwined, and they contribute substantially to the text’s reputation for complexity and paradox.

12. Key Concepts: Unity, Plurality, Being, and Non‑Being

12.1 Unity (The One)

The notion of unity (to hen) is central to all the hypotheses. The dialogue explores different ways of understanding “one”:

  • as an absolutely simple principle without parts (first hypothesis),
  • as a relational unity among many things (second hypothesis),
  • as a structural feature present in each of the others (later hypotheses).

Interpreters debate whether the One is a concrete principle (like a highest Form), a logical notion (numerical one), or an ontological condition of intelligibility. Neoplatonic readings tend to ontologize the One as a supreme reality; many modern scholars adopt a more cautious, conceptual interpretation.

12.2 Plurality (The Many / the Others)

The many (ta polla, ta alla) represent all that is other than the One. The dialogue investigates:

  • how plurality arises from or coexists with unity,
  • whether the many can be conceived without presupposing some form of oneness (e.g., each thing being one thing),
  • and how predicates like likeness, unlikeness, motion, and rest apply differently to the many compared to the One.

A recurring theme is that plurality seems to presuppose unity (each of the many is one), raising questions about whether the many are ultimately dependent on some principle of oneness.

12.3 Being

Being (to einai) is treated both as:

  • existence: whether something “is” or “is not,” and
  • predication: being F (e.g., being large, being in motion).

The dialogue exploits ambiguities between these senses, showing how statements about what is or is not can generate paradoxes when combined with assumptions about unity and plurality. Some scholars see here an anticipation of later distinctions between existential and copular uses of “is.”

12.4 Non‑Being

Non‑being (to mē on) plays a crucial role, especially in the hypotheses that deny the One’s being. The text examines:

  • how one can think or speak about what is not,
  • whether non‑being can be an object of reference,
  • and how negative predications (“is not F”) differ from outright non‑existence.

Comparisons are often drawn with the Sophist, where Plato distinguishes non‑being as difference rather than absolute nothingness. Some commentators argue that Parmenides already grapples with similar issues; others maintain that it approaches non‑being less systematically, through the lens of dialectical paradox.

12.5 Interdependence of the Concepts

A recurrent pattern in the dialogue is that unity, plurality, being, and non‑being cannot be isolated:

  • Unity seems required for any countable plurality.
  • Plurality introduces differentiation that affects how being is predicated.
  • Denying the being of unity paradoxically reintroduces it as something denied.

The text thus functions as a laboratory for testing the conceptual interdependence of these notions, without settling on a single definitive theory.

13. Famous Passages and Central Puzzles

13.1 Parmenides’ Critique of the Forms (130a–135d)

The section in which Parmenides challenges Socrates’ theory of Forms is one of the most frequently cited passages in Platonic studies. It includes:

  • the discussion of Forms for trivial or base things (hair, mud, filth),
  • puzzles about participation (whole/part, mixture, likeness),
  • and the regress often associated with the Third Man argument.

This passage is central because it offers a rare, extended intra‑Platonic critique of the Forms, influencing later ancient and modern debates about universals.

13.2 The “Greatest Difficulty” (133a–134e)

The so‑called “greatest difficulty” concerns the separation of Forms and the problem of how we can know or be affected by them if they exist in a distinct realm:

“If someone, Socrates, should say that the Forms must necessarily be knowledge itself, or beauty itself, and the like… this would be the greatest difficulty for the one who maintains that the Forms are separate.”

— Plato, Parmenides 133b–c (paraphrase)

This passage is often treated as a focal point for assessing whether Plato can reconcile transcendence and immanence in his metaphysics.

13.3 The Program of Dialectical Training (135d–137c)

Parmenides’ prescription of hypothesis‑testing as a training method is another widely discussed passage. It is famous for articulating a rigorous, systematic approach to philosophical inquiry and for connecting this method with the capacity to understand Forms. Comparisons are frequently drawn with the divided line and dialectic in the Republic.

13.4 Paradoxes of the One (137d–155e)

The first and second hypotheses generate some of the dialogue’s most striking paradoxes: the One being both limited and unlimited, at rest and in motion, like and unlike. These have been interpreted as:

  • exposing contradictions in treating unity as a thing among things,
  • demonstrating the context‑dependence of predicates,
  • or mapping different levels of reality.

These arguments are also of interest to historians of logic and paradox.

13.5 Final Paradoxes of Non‑Being (163b–166c)

The concluding section, where the hypothesis “if the One is not” leads to the claim that somehow the One both is and is not, and that the others are similarly conflicted, has been a central puzzle. It raises questions about:

  • how negation works,
  • whether absolute non‑being is thinkable,
  • and whether the dialogue is constructing deliberate aporias to stimulate further inquiry.

The abrupt ending, with no explicit resolution, reinforces the open‑ended, puzzle‑driven character of the work.

14. Interpretative Debates: Metaphysics, Logic, and Theology

14.1 Metaphysical vs. Logical Readings

A central debate concerns whether the second part of the Parmenides should be read primarily as a metaphysical system or as a logical exercise:

  • Metaphysical readers (e.g., some Middle Platonists and Neoplatonists) see the hypotheses as describing a hierarchy of being, from the absolutely One to the sensible many.
  • Logical or methodological readers emphasize the exploration of predication, inference, and hypothesis‑testing, treating the content as largely schematic.

Hybrid positions acknowledge metaphysical implications while stressing that the explicit focus is on what follows if certain assumptions are made, rather than on asserting them as doctrines.

14.2 Status of the Theory of Forms

Another major issue is how the dialogue affects our understanding of Plato’s theory of Forms:

  • One view holds that Plato here abandons or radically revises the naive notion of separate Forms, moving toward more immanent or “conceptual” universals.
  • A more conservative view suggests that the critique targets only simplistic formulations, pushing toward a more sophisticated conception of participation, while the core commitment to Forms remains intact.
  • Some scholars, doubting that the first part reflects Plato’s personal views, see the dialogue as primarily a dialectical critique of certain Platonist positions circulating in the Academy.

The text itself does not explicitly state any revised theory, leaving the debate largely reconstructive.

14.3 Theological Interpretations

Especially in late antiquity, the dialogue was read theologically:

  • Neoplatonic commentators (e.g., Proclus) interpreted the first hypothesis as referring to a supra‑essential One, beyond being and knowledge; subsequent hypotheses were taken to describe descending levels of divinity, intelligible Forms, and soul.
  • Modern scholars are divided: some argue that such theological readings are anachronistic, imposing later systems on Plato; others contend that the dialogue’s language of transcendence and “beyond being” invites at least proto‑theological interpretation.

These disagreements shape broader debates about whether Plato anticipates negative theology and a hierarchy of reality.

14.4 Dramatic vs. Doctrinal Unity

The relation between the dramatic frame, the critique of Forms, and the hypotheses on the One is also contested:

  • Some argue for a strong doctrinal unity, claiming that the second part provides tools to resolve problems from the first.
  • Others see primarily dramatic unity: both parts feature Parmenides training a young philosopher, but without a single doctrinal message.
  • A more skeptical stance holds that the dialogue may intentionally resist doctrinal synthesis, functioning as an aporetic work designed to cultivate philosophical perplexity.

These interpretative options influence how scholars integrate Parmenides into overall reconstructions of Plato’s philosophical development.

15. Reception, Commentarial Traditions, and Modern Scholarship

15.1 Ancient Reception

In antiquity, the Parmenides was renowned for its difficulty and depth. It appears to have been used within the Academy as an advanced text for practicing dialectic. Aristotle engages with issues reminiscent of its critiques—such as the Third Man and separation of Forms—although he does not always refer explicitly to the dialogue.

Later Middle Platonists and Neopythagoreans showed interest in its discussions of the One, but it is in Neoplatonism that the work became central:

  • Plotinus drew on themes of the One’s transcendence, though he cites the dialogue less systematically.
  • Proclus wrote an extensive commentary treating the hypotheses as a theological schema of levels of reality.
  • Other Neoplatonists used the dialogue as a key source for doctrines about the One, Intellect, and Soul.

15.2 Medieval and Renaissance Transmission

Through late antique commentaries and translations, elements of the Parmenides influenced Byzantine and Islamic philosophy, though often indirectly. In the Latin West, access was more limited, but interest revived during the Renaissance with renewed study of Greek texts. Humanist scholars approached the dialogue largely as a challenging, esoteric work, often mediated by Neoplatonic interpretations.

15.3 Modern Scholarship

From the 19th century onward, the Parmenides has occupied a prominent place in Platonic studies. Key trends include:

  • Philological and historical analyses of the text’s authenticity, dating, and relation to Presocratic sources.
  • Systematic philosophical interpretations focusing on universals, participation, and logical paradox.
  • Detailed commentaries (e.g., Cornford, Scolnicov, Meinwald) that offer competing readings of the hypotheses and their relation to the theory of Forms.

Modern debates often center on:

  • the dialogue’s place in Plato’s development,
  • the status of the arguments (serious, pedagogical, ironic, or exploratory),
  • and the extent to which Neoplatonic interpretations should inform contemporary readings.

15.4 Contemporary Perspectives

Current scholarship is diverse:

  • Some philosophers mine the dialogue for insights into modal logic, self‑reference, and paradox.
  • Others situate it within a broader Platonic project of exploring rational method and metaphysical structure.
  • Interdisciplinary studies connect the Parmenides with contemporary discussions of set theory, mereology, and ontology, while historians of philosophy examine its impact on subsequent Greek, medieval, and early modern thought.

No single interpretative school dominates, and the dialogue remains a focal point for ongoing scholarly controversy and innovation.

16. Legacy and Historical Significance

16.1 Impact on Ancient Philosophy

The Parmenides has had a lasting influence on ancient metaphysics and logic:

  • Its critique of separate Forms informed Aristotle’s objections to Plato and shaped subsequent discussions of universals.
  • Its exploration of unity and plurality provided a conceptual framework for later Platonist and Aristotelian ontologies.
  • Through Neoplatonic exegesis, it became foundational for late antique metaphysical and theological systems centered on the One.

In this way, the dialogue functioned as both a source of doctrine and a model of rigorous dialectical reasoning.

16.2 Influence on Medieval and Early Modern Thought

Via Neoplatonic and patristic intermediaries, themes from the Parmenides—especially the notion of a transcendent One beyond being—contributed to medieval negative theology and conceptions of divine simplicity in Christian, Jewish, and Islamic traditions. Early modern philosophers, including some rationalists, engaged (directly or indirectly) with issues reminiscent of the dialogue’s concerns about infinite regress, abstract entities, and the relation between unity and multiplicity.

16.3 Role in Modern Metaphysics and Logic

In contemporary philosophy, the Parmenides continues to be studied for:

  • its arguments about universals, self‑predication, and regress, relevant to debates over realism and nominalism;
  • its subtle treatment of being and non‑being, which anticipates later concerns about existence, reference, and negation;
  • its use of systematic hypothesis‑testing, seen as an early exploration of formal reasoning about consequences.

Some logicians and metaphysicians draw analogies between the dialogue’s puzzles and modern issues in set theory, mereology, and paradox (e.g., Russell‑type regress problems).

16.4 Continuing Philosophical Relevance

The dialogue’s enduring significance lies in its combination of:

  • deep conceptual challenges about unity, plurality, and being,
  • a sophisticated dialectical method,
  • and an open‑ended, aporetic stance that resists easy resolution.

Because it presents powerful arguments without explicit doctrinal closure, the Parmenides remains a touchstone for discussions about the nature of philosophical inquiry itself—whether philosophy should aim at fixed systems or at the ongoing clarification and testing of our most fundamental concepts.

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  title = {parmenides},
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Study Guide

advanced

Parmenides is one of Plato’s most technically demanding dialogues. The first part already presupposes comfort with abstract metaphysics (Forms, universals, participation); the second part adds intricate dialectical exercises whose point is contested in scholarship. It is best approached after some experience with Plato’s more accessible works and basic logic.

Key Concepts to Master

Form (εἶδος / ἰδέα)

A separate, intelligible entity such as the Just‑itself or Beautiful‑itself, posited as the one over the many particulars that share a common feature and explain why they are what they are.

Participation (μέθεξις)

The relation by which particular things are said to partake in a Form (for example, a beautiful object is beautiful by participating in the Beautiful‑itself).

The One (ἕν)

The focal subject of the second part’s dialectical exercise; a principle of unity whose being or non‑being, considered in itself and in relation to others, yields paradoxical consequences about being, motion, time, and plurality.

The Many / the Others (τὰ πολλὰ / τὰ ἄλλα)

All things other than the One, representing plurality and difference; their properties are explored under various hypotheses about the One’s being and non‑being.

Third Man argument (regress problem)

A regress that arises when a Form and its participants seem to require a further Form to account for what they share (e.g., large particulars and Largeness‑itself all being large, calling for another Largeness), leading to an infinite series of Forms.

Self‑predication

The principle that a Form has the property it causes in its participants (e.g., the Beautiful is beautiful, the Just is just).

Dialectic (διαλεκτική) and hypothesis‑testing

A rigorous method in which one systematically examines what follows if a given hypothesis is true or false, both in relation to itself and to other things, as Parmenides demonstrates with the One.

Eleatic monism

The doctrine, associated with the historical Parmenides of Elea, that reality is fundamentally one, ungenerated, unchanging, and indivisible, and that plurality and change belong only to deceptive opinion.

Discussion Questions
Q1

In what ways does Parmenides’ critique of participation and the Third Man‑style regress challenge the explanatory role of Forms as ‘one over many’?

Q2

Why does Parmenides insist that Socrates’ main problem is lack of dialectical training rather than the mere falsity of his views about Forms?

Q3

Compare the portrayal of the One in the first hypothesis (beyond parts, motion, and time) with its portrayal in the second hypothesis (having contradictory relational predicates). Are these two ‘Ones’ compatible, or do they represent different notions?

Q4

How does the dialogue’s multi‑layered narrative frame (Cephalus → Antiphon → Pythodorus → Parmenides and Socrates) affect the way we should interpret its arguments and their authority?

Q5

What is the ‘greatest difficulty’ regarding the separation of Forms, and how might a defender of Forms respond to Parmenides’ epistemological worry?

Q6

In the final hypotheses, how can the One both ‘be’ and ‘not be’ under the assumption that the One is not? What does this reveal about Plato’s view of negation or non‑being?

Q7

To what extent should we read the second part of Parmenides as a metaphysical hierarchy versus a purely logical exercise?