God as Architect of the World, frontispiece of the Bible moralisée, Codex Vindobonensis 2554, c. 1220–30
τί ἐστι;

God as Architect of the World, frontispiece of the Bible moralisée, Codex Vindobonensis 2554, c. 1220–30

Socratic metaphysics · wrap-up

Definition, Form, Receptacle

Three steps: Plato needs definitions; definitions with an ontological dimension become Forms; Forms need a receptacle to give rise to sensibles. Each branch gives the short answer first, then the books behind it.

  1. 1 Plato needs definitions
  2. 2 Definitions become Forms
  3. 3 Forms need a receptacle
Socratic question What is F? (ethics) Definition true belief + logos Form itself by itself Receptacle the third kind Sensibles images that come to be extended to all knowing the leap Tim. 51d–e images need a bearer, 52c a fixed site for becoming Regress of accounts each logos must itself be known a logos needs a logos stops here? contested Regress of becoming becoming can’t explain becoming stops it Miller 2003: 217 Socratic question What is F? (ethics) Definition true belief + logos Form itself by itself Receptacle the third kind Sensibles images that come to be extended to all knowing the leap Tim. 51d–e images need a bearer, 52c a fixed site for becoming Regress of accounts each logos must itself be known stops here? contested Regress of becoming can’t explain becoming stopped by it: Miller 2003: 217
How the steps connect. Solid arrows are Plato’s moves, labelled with the passage that makes each one. The dashed boxes are two regresses the steps are meant to stop: an account that needs another account, and becoming that would need more becoming to explain it.

The mind map

Root

Plato’s route

From the Socratic “What is F?” to a world of sensible images: definition, then Form, then receptacle.

  • Step 1

    Plato needs definitions

    Why Plato, not Socrates?

    Socrates sought definitions only in ethics, to judge cases and act well. For Plato a definition is the account (logos) that turns true belief into knowledge, so anything that can be known needs one: equality and fire as much as virtue.

    Meno 98aTim. 51eRep. 534b
    • Socrates stayed with ethics

      Socrates was “busying himself with moral excellence”; the founders of the theory were “concerned with questions of knowledge and its ontological requirements.”

      Sayre 2005: 3Dancy 2004: 12Met. M4 1078b17–32
    • Knowledge needs a logos

      “to know a form requires knowing what it is; and that, in turn, is to know its definition”

      Fine 2003: 12–13Meno 98aRep. 534b
    • Ethics forces epistemology

      “the ethical philosopher is forced to face the problems of epistemology”

      Cherniss 1936, in Vlastos 1971: 19
    • Beyond ethics

      Plato “took the questions Socrates was raising about definitions to pertain to a realm of objects different from the ones we perceive.”

      Dancy 2004: 12Phd. 74aTim. 49b–51b
  • Step 2

    Definitions become Forms

    How does Plato get from knowledge to what exists?

    He argues from the existence of knowledge to the existence of its objects. Knowledge differs from true belief, each cognitive power has its own objects, and sensibles are in flux or both F and not-F, so if there is knowledge there must be stable, non-sensible things for it to be about: the Forms.

    Tim. 51d–eRep. 477c–480a
    • The inference

      “An epistemological premiss, ‘there is knowledge’ gives rise to an ontological conclusion, ‘there are Forms’.”

      Jordan 1983: 48–49Grabowski 2008: 8Met. M4 1078b12–17
    • Step 2 in Silverman’s words

      “Since knowledge requires definitions and definitions require ousia, if there is knowledge there must be things that have or are ousia.”

      Silverman 2002: 126
    • Different powers, different objects

      “the proof that knowledge and opinion are different faculties is conclusive evidence for the fact that the objects with which they are concerned must be different”

      Cherniss 1936, in Vlastos 1971: 21Rep. 477c–d
    • The premises are assumed

      Knowledge “is unerring, and takes only what exists as its proper object”; its stability is “an unargued assumption at Meno 98a.”

      Sayre 2005: 4Moss 2021: 83
    • direction

      Plato’s order of explanation runs the other way: “he takes the explanatory order to be metaphysics-first.” White: “Certainly in Plato there is no such divide.”

      Moss 2021: 82–84White 1992: 277
    • the premise

      The Timaeus argument “does not pretend to be conclusive” (Crombie); it is “as pure an example of ‘deductive metaphysics’ as one could hope to find” (Vlastos); “different faculties could have the same object” (Cross & Woozley).

      Crombie 1963: 521Vlastos 1981: 376Cross & Woozley, in Vlastos 1971: 74
    • what it proves

      The Timaeus “assumes, and does not argue, that the latter are Forms” (Annas); Plato “invalidly jumps” to separate substances (Irwin); Republic V shows only that “to have any knowledge at all, one must know forms” (Fine).

      Annas, in Jordan 1983: 48Irwin, in Blackson 1995: 14–15Fine 2003: 12
  • Step 3

    Forms need a receptacle

    Why can’t Forms give rise to sensibles on their own?

    Sensibles are images, and an image has nothing of its own, so it must come to be in something else. Elemental change needs the same stable “in which”, so Plato posits a third kind that receives becoming, not Forms.

    Tim. 48e–52dὑποδοχή · χώρα
    • The image argument

      “it stands to reason that the image should therefore come to be in something else, somehow clinging to being, or else be nothing at all”

      Tim. 52cZeyl 2000: 42 (tr.)
    • The change argument

      Asked what a reshaped piece of gold is, “your safest answer by far, with respect to truth, would be to say, ‘gold’.”

      Tim. 49b–50bZeyl 2000: 39 (tr.)
    • It receives becoming, not Forms

      “The third Kind is said equally to be that which receives coming-to-be and that in which coming-to-be occurs.” The image is “in” the receptacle and “of” the Form; Form and receptacle “neither are ‘of’ nor ‘in’ each other.”

      Miller 2003: 55, 57Zeyl 2000: 42 n. 57
    • It stops a regress

      “If what comes to be explains what comes to be, there will be an infinite regress”

      Miller 2003: 217
    • Known only by inference

      Grasped by “a kind of bastard reasoning”: “Not only must its existence be inferred, but its role can be illustrated only by cumbersome analogies.”

      Tim. 52bZeyl 2000: lxv
  • Follow-up

    What makes knowledge knowledge?

    If a logos turns true belief into knowledge, what certifies the logos?

    True belief can be right by luck or by persuasion; knowledge is tied down by an explanation. But if each account must itself be known, the accounts regress, and each way out Plato offers has a cost.

    αἰτίας λογισμόςMeno 98a
    • Why true belief is not knowledge

      A jury persuaded of the truth still lacks the eyewitness’s knowledge. True beliefs run away like Daedalus’ statues until tied down. Knowledge comes by instruction, has an account and resists persuasion; only it is infallible.

      Theaet. 201a–cMeno 97d–98aTim. 51eRep. 477eCornford 1935: 140–41Cherniss, in Vlastos 1971: 20Moss 2021: 4, 6
    • Can belief become knowledge?

      In the Meno, yes: a true belief is tied down by working out the explanation, which Socrates calls recollection. In the Republic, belief “excludes” knowledge, so one turns to a different object instead of upgrading the belief.

      Meno 85c–d, 98aFine 2003: 4–6Moss 2021: 6, 216
    • Is that verification?

      Partly. The method of hypothesis checks consequences for consistency and backs each hypothesis with a higher one, “verifying or confirming the truth of the hypotheses.” The check stays internal: understanding and verification “cannot be strictly separated.”

      Phd. 101d–eRep. 534b–cBenson 2006: 89–91Moravcsik, in Vlastos 1971: 58
    • The regress

      Knowledge needs a logos that must itself be known: “the famous regress of reasons.” Plato meets it in the Theaetetus (a “circulus in definiendo”), and recollection meets it too: “Is there to be another process of recollection…? If so, we have an infinite regress.”

      Fine 2003: 13–14Theaet. 200c, 201d–210aCherniss, in Vlastos 1971: 21Scott, in Fine 1999: 101Dancy 2004: 223
    • Three ways out

      A foundation: the unhypothetical first principle, “a sort of foundation for all scientific knowledge,” grasped by infallible, self-reflexive knowing. A circle that is “virtuous, not vicious” if large and explanatory enough. Or left open: Plato “has no answer to this at his finger tips.”

      Rep. 511bWhite 1976: 99–100Gerson 2003: 82–84Fine 2003: 14, 27Crombie 1963: 553
    • do the Forms stop it?

      Partly. Knowledge’s objects must be “intelligible Forms and truths about them.” But self-standing Forms bring the Third Man regress, and “if the Forms are entirely separate from things of sense, then we cannot know them as they are in themselves.” Natorp: treat Forms as explanations, not things.

      Cornford 1935: 162Prior 1985: 65Sayre 2005: 35Politis, in Natorp 2004: 27Parm. 132a–b, 133b–134e

Across the map: where each regress stops

The same move recurs at every level of the discussion: a chain that would run forever ends in something that does not need the next link.

Accounts
the Forms and the Good

Dialectic climbs to the unhypothetical first principle. Contested: Fine reads Plato as holist instead.

Rep. 511bFine 2003: 14–15
Becoming
the receptacle

What comes to be cannot explain what comes to be; it needs a principle that is not itself a step.

Miller 2003: 217
Causes of coming-to-be
the craftsman

Whatever comes to be has a cause; the chain ends in the craftsman looking to the eternal model.

Tim. 28a–29a

Works cited

Page numbers are the printed pages of the editions in the library; quotations were checked against the PDFs. Annas, Irwin and Burnyeat are cited as quoted by the authors named.