The Presocratic Reader

Zeno

DK 29

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Original textTranslation

Available translations: English

δείξας γὰρ ὅτι εἰ μὴ ἔχοι μέγεθος τὸ ὄν, οὐδ’ ἂν εἴη, ἐπάγει· εἰ δὲ ἔστιν, ἀνάγκη ἕκαστον μέγεθός τι ἔχειν καὶ πάχος καὶ ἀπέχειν αὐτοῦ τὸ ἕτερον ἀπὸ τοῦ ἑτέρου. καὶ περὶ τοῦ προύχοντος ὁ αὐτὸς λόγος. καὶ γὰρ ἐκεῖνο ἕξει μέγεθος καὶ προέξει αὐτοῦ τι. ὅμοιον δὴ τοῦτο ἅπαξ τε εἰπεῖν καὶ ἀεὶ λέγειν· οὐδὲν γὰρ αὐτοῦ τοιοῦτον ἔσχατον οὔτε ἕτερον πρὸς ἕτερον οὐκ ἔσται. οὕτως εἰ πολλά ἐστιν, ἀνάγκη αὐτὰ μικρά τε εἶναι καὶ μεγάλα· μικρὰ μὲν ὥστε μὴ ἔχειν μέγεθος, μεγάλα δὲ ὥστε ἄπειρα εἶναι.

For first showing that ‘if being did not have magnitude, it would not exist at all,’ he goes on, ‘if anything exists, it is necessary that each thing should have some magnitude and thickness, and that one part of it should be separated from another. The same argument applies to the thing that precedes this. That also will have magnitude and will have something before it. The same may be said of each thing once for all, for there will be no such thing as last, nor will one thing differ from another. So if there is a multiplicity of things, it is necessary that these should be great and small—small enough not to have any magnitude, and great enough to be infinite.’

Arthur Fairbanks · The First Philosophers of Greece (1898)
How this fragment survives
  • Simplicius

    Commentary on Aristotle’s Physics · 30 v 141, 1

    Citation in the source record

    Simpl. Phys. 30 v 141, 1.

    Compared the Greek of 29-B-1 with Fairbanks’ Zeno fragment 3; the numbering is not assumed to be identical.

    Passage correspondence

    3. Simpl. Phys. 30 v 141, 1. εἰ μὴ ἔχοι μέγεθος τὸ ὂν οὐδ’ ἂν εἴη, εἰ δὲ ἔστιν, ἀνάγκη ἕκαστον μέγεθός τι ἔχειν καὶ πάχος καὶ ἀπέχειν αὐτοῦ τὸ ἕτερον ἀπὸ τοῦ ἑτέρου. καὶ περὶ τοῦ προύχοντος ὁ αὐτὸς λόγος. καὶ γὰρ ἐκεῖνο ἕξει μέγεθος καὶ προέξει αὐτοῦ τι. ὅμοιον δὴ τοῦτο ἅπαξ τε εἰπεῖν καὶ ἀεὶ λέγειν· οὐδὲν γὰρ αὐτοῦ τοιοῦτον ἔσχατον ἔσται οὔτε ἕτερον πρὸς ἕτερον οὐκ ἔσται. οὕτως εἰ πολλά ἐστιν, ἀνάγκη αὐτὰ μικρά τε εἶναι καὶ μεγάλα, μικρὰ μὲν ὥστε μὴ ἔχειν μέγεθος, μεγάλα δὲ ὥστε ἄπειρα εἶναι.

    Check the source record ↗

    Fairbanks (1898) records this source for Zeno fragment 3, corresponding to part or all of this passage. The selected translation may use a different text or arrangement.

    Citation in a linked historical source record.

These are source citations recorded for this reading or its linked historical source unit. They do not describe the complete manuscript transmission. A supporting record may include a longer passage or a different editorial text.

Original-text edition
Original text: Diels fragment text as transcribed by Forage (CC BY-SA4.0), retaining the displayed witness and quotation boundaries. Published English is credited separately
Open the historical edition ↗

Notes & source

Fairbanks fragment3 corresponds to DK29 B1 by Greek identity. Simplicius’s introductory carrier is included on both sides (“For first showing ... he goes on”). Complete quoted argument, not just the first sentence. Published English words unchanged; page/line numbers, bibliographic fragment markers and footnote callouts removed

Original text: Diels fragment text as transcribed by Forage (CC BY-SA4.0), retaining the displayed witness and quotation boundaries. Published English is credited separately View original source ↗

English: Arthur Fairbanks · The First Philosophers of Greece (1898) Published translation ↗

English translation: Public domain

Available translations & credits

Available translations: English

εἰ γὰρ ἄλλωι ὄντι, φησί, προσγένοιτο, οὐδὲν ἂν μεῖζον ποιήσειεν· μεγέθους γὰρ μηδενὸς ὄντος, προσγενομένου δὲ οὐδὲν οἷόν τε εἰς μέγεθος ἐπιδοῦναι. καὶ οὕτως ἂν ἤδη τὸ προσγινόμενον οὐδὲν εἴη. εἰ δὲ ἀπογινομένου τὸ ἕτερον μηδὲν ἔλαττον ἔσται μηδὲ αὖ προσγινομένου αὐξήσεται, δῆλον ὅτι τὸ προσγενόμενον οὐδὲν ἦν οὐδὲ τὸ ἀπογενόμενον.

For if, he says, anything were added to another being, it could not make it any greater; for since greatness does not exist, it is impossible to increase the greatness of a thing by adding to it. So that which is added would be nothing. If when something is taken away that which is left is no less, and if it becomes no greater by receiving additions, evidently that which has been added or taken away is nothing.

Arthur Fairbanks · The First Philosophers of Greece (1898)
How this fragment survives
  • Simplicius

    Commentary on Aristotle’s Physics · 30 r 139, 11

    Citation in the source record

    Simpl. Phys. 30 r 139, 11.

    Compared the Greek of 29-B-2 with Fairbanks’ Zeno fragment 1; the numbering is not assumed to be identical.

    Passage correspondence

    1. Simpl. Phys. 30 r 139, 11. εἰ γὰρ ἄλλῳ ὄντι προσγένοιτο, οὐδὲν ἂν μεῖζον ποιήσειεν· μεγέθους γὰρ μηδενὸς ὄντος, προσγενομένου δὲ οὐδὲν οἷόν τε εἰς μέγεθος ἐπιδοῦναι. καὶ οὕτως ἂν ἤδη τὸ προσγινόμενον οὐδὲν εἴη. εἰ δὲ ἀπογινομένου τὸ ἕτερον μηδὲν ἔλαττόν ἐστι, μηδὲ αὖ προσγινομένου αὐξήσεται, δῆλον ὅτι τὸ προσγενόμενον οὐδὲν ἦν οὐδὲ τὸ ἀπογενόμενον.

    Check the source record ↗

    Fairbanks (1898) records this source for Zeno fragment 1, corresponding to part or all of this passage. The selected translation may use a different text or arrangement.

    Citation in a linked historical source record.

These are source citations recorded for this reading or its linked historical source unit. They do not describe the complete manuscript transmission. A supporting record may include a longer passage or a different editorial text.

Original-text edition
Original text: Diels fragment text as transcribed by Forage (CC BY-SA4.0), retaining the displayed witness and quotation boundaries. Published English is credited separately
Open the historical edition ↗

Notes & source

Fairbanks fragment1 corresponds by Greek content to DK29 B2. The complete quoted argument is extracted from his translation of Simplicius, Physics139.11; surrounding Simplicius commentary excluded. Greek includes his parenthetic φησί, corresponding to “he says”. Published English words unchanged; page/line numbers, bibliographic fragment markers and footnote callouts removed

Original text: Diels fragment text as transcribed by Forage (CC BY-SA4.0), retaining the displayed witness and quotation boundaries. Published English is credited separately View original source ↗

English: Arthur Fairbanks · The First Philosophers of Greece (1898) Published translation ↗

English translation: Public domain

Available translations & credits

Available translations: English

εἰ πολλά ἐστιν, ἀνάγκη τοσαῦτα εἶναι ὅσα ἐστὶ καὶ οὔτε πλείονα αὐτῶν οὔτε ἐλάττονα. εἰ δὲ τοσαῦτά ἐστιν ὅσα ἐστί, πεπερασμένα ἂν εἴη. εἰ πολλά ἐστιν, ἄπειρα τὰ ὄντα ἐστίν. ἀεὶ γὰρ ἕτερα μεταξὺ τῶν ὄντων ἐστί, καὶ πάλιν ἐκείνων ἕτερα μεταξύ. καὶ οὕτως ἄπειρα τὰ ὄντα ἐστί.

If there is a multiplicity of things, it is necessary that these should be just as many as exist, and not more nor fewer. If there are just as many as there are, then the number would be finite. If there is a multiplicity at all, the number is infinite, for there are always others between any two, and yet others between each pair of these. So the number of things is infinite.

Arthur Fairbanks · The First Philosophers of Greece (1898)
How this fragment survives
  • Simplicius

    Commentary on Aristotle’s Physics · 30 r 140, 29

    Citation in the source record

    Simpl. Phys. 30 r 140, 29.

    Compared the Greek of 29-B-3 with Fairbanks’ Zeno fragment 2; the numbering is not assumed to be identical.

    Passage correspondence

    2. Simpl. Phys. 30 r 140, 29. εἰ πολλά ἐστιν, ἀνάγκη τοσαῦτα εἶναι ὅσα ἐστὶ καὶ οὔτε πλείονα αὐτῶν οὔτε ἐλάττονα. εἰ δὲ τοσαῦτά ἐστιν ὅσα ἐστί, πεπερασμένα ἂν εἴη. εἰ πολλά ἐστιν, ἄπειρα τὰ ὄντα ἐστίν. ἀεὶ γὰρ ἕτερα μεταξὺ τῶν ὄντων ἐστί, καὶ πάλιν ἐκείνων ἕτερα μεταξύ. καὶ οὕτως ἄπειρα τὰ ὄντα ἐστί.

    Check the source record ↗

    Fairbanks (1898) records this source for Zeno fragment 2, corresponding to part or all of this passage. The selected translation may use a different text or arrangement.

    Citation in a linked historical source record.

These are source citations recorded for this reading or its linked historical source unit. They do not describe the complete manuscript transmission. A supporting record may include a longer passage or a different editorial text.

Original-text edition
Original text: Diels fragment text as transcribed by Forage (CC BY-SA4.0), retaining the displayed witness and quotation boundaries. Published English is credited separately
Open the historical edition ↗

Notes & source

Fairbanks fragment2 corresponds to DK29 B3 by Greek identity. The complete quoted argument is extracted from Simplicius Physics140.29; surrounding commentary excluded. Published English words unchanged; page/line numbers, bibliographic fragment markers and footnote callouts removed

Original text: Diels fragment text as transcribed by Forage (CC BY-SA4.0), retaining the displayed witness and quotation boundaries. Published English is credited separately View original source ↗

English: Arthur Fairbanks · The First Philosophers of Greece (1898) Published translation ↗

English translation: Public domain

Available translations & credits

Available translations: English

Ζήνων δὲ τὴν κίνησιν ἀναιρεῖ λέγων, τὸ κινούμενον οὔτʼ ἐν ᾧ ἐστι τόπῳ κινεῖται οὔτʼ ἐν ᾧ μὴ ἔστι.

And Zeno endeavours to put an end to the doctrine of motion by saying: “The object moved does not move either in the place in which it is, or in that in which it is not.”

Charles Duke Yonge · The Lives and Opinions of Eminent Philosophers (1853; 1915 reprint), 9.72, p. 406
How this fragment survives
  • Diogenes Laertius

    Lives of Eminent Philosophers · 9.72

    Citation in the source record

    Diogenes Laertius, Lives 9.72

    Check the source record ↗

    The retained Greek source description identifies the same continuous statement in Hicks’s 1925 edition; the English is Yonge’s historical translation.

    Citation in a linked historical source record.

These are source citations recorded for this reading or its linked historical source unit. They do not describe the complete manuscript transmission. A supporting record may include a longer passage or a different editorial text.

Original-text edition
Diogenes Laertius, Lives 9.72, R. D. Hicks (1925), Perseus TEI, CC BY-SA 4.0
Open the historical edition ↗

Notes & source

Published English copied exactly from Yonge’s 1915 reprint. Greek is the same continuous statement in Hicks’s 1925 text; only the terminal punctuation is normalized

Diogenes Laertius, Lives 9.72, R. D. Hicks (1925), Perseus TEI, CC BY-SA 4.0 View original source ↗

English: Charles Duke Yonge · The Lives and Opinions of Eminent Philosophers (1853; 1915 reprint), 9.72, p. 406 Published translation ↗

Additional original-language witness

Ζ. δὲ τὴν κίνησιν ἀναιρεῖ λέγων· τὸ κινούμενον οὔτ’ ἐν ὧι ἐστι τόπωι κινεῖται οὔτ’ ἐν ὧι μὴ ἔστι.

Witness source ↗

English translation: Public-domain historical English translation; source-specific attribution retained.

Available translations & credits
  • English · Charles Duke Yonge. The Lives and Opinions of Eminent Philosophers (1853; 1915 reprint), 9.72, p. 406. Default reading. Published translation ↗ Paired original ↗

    Translation: Public-domain historical English translation; source-specific attribution retained.

Available translations: English

Ὁ Ζήνωνος λόγος ἀναιρεῖν ἐδόκει τὸ εἶναι τὸν τόπον ἐρωτῶν οὕτως· «εἰ ἔστιν ὁ τόπος, ἔν τινι ἔσται· πᾶν γὰρ ὂν ἔν τινι· τὸ δὲ ἔν τινι καὶ ἐν τόπωι. ἔσται ἄρα καὶ ὁ τόπος ἐν τόπωι, καὶ τοῦτο ἐπ’ ἄπειρον· οὐκ ἄρα ἔστιν ὁ τόπος».

Zeno’s argument seems to deny that place exists, putting the question as follows: ‘If there is such a thing as place, it will be in something, for all being is in something, and that which is in something is in some place. Then this place will be in a place, and so on indefinitely. Accordingly there is no such thing as place.’

Arthur Fairbanks · The First Philosophers of Greece (London: Kegan Paul, Trench, Trübner & Co., 1898), pp. 115–116, Simplicius on Physics 562.3
How this fragment survives
  • Simplicius

    Commentary on Aristotle’s Physics · 130 ν 562, 4

    Citation in the source record

    Simpl. Phys. 130 ν 562, 4.

    Compared the Greek of 29-B-5 with Fairbanks’ Zeno fragment 4; the numbering is not assumed to be identical.

    Passage correspondence

    4. Simpl. Phys. 130 ν 562, 4. εἰ ἔστιν ὁ τόπος, ἔν τινι ἔσται· πᾶν γὰρ ὂν ἔν τινι· τὸ δὲ ἔν τινι καὶ ἐν τόπῳ. ἔσται ἄρα καὶ ὁ τόπος ἐν τόπῳ καὶ τοῦτο ἐπ’ ἄπειρον· οὐκ ἄρα ἔστιν ὁ τόπος.

    Check the source record ↗

    Fairbanks (1898) records this source for Zeno fragment 4, corresponding to part or all of this passage. The selected translation may use a different text or arrangement.

    Citation in a linked historical source record.

These are source citations recorded for this reading or its linked historical source unit. They do not describe the complete manuscript transmission. A supporting record may include a longer passage or a different editorial text.

Original-text edition
Original text from the linked source, with the quotation boundaries recorded in the notes
Open the historical edition ↗

Notes & source

Complete Simplicius passage in this entry. Fairbanks’s parenthetic fragment label “(Fr. 4)” and the page marker are excluded; his wording and argument remain intact

Fairbanks’s fragment numbering differs from DK 29 B5. The exact Greek boundary, not the historical fragment number, establishes the match

Original text from the linked source, with the quotation boundaries recorded in the notes View original source ↗

English: Arthur Fairbanks · The First Philosophers of Greece (London: Kegan Paul, Trench, Trübner & Co., 1898), pp. 115–116, Simplicius on Physics 562.3 Published translation ↗

English translation: Public domain (identified historical translation; edition and contributor evidence reviewed for Romania/EU and US)

Available translations & credits
  • English · Arthur Fairbanks. The First Philosophers of Greece (London: Kegan Paul, Trench, Trübner & Co., 1898), pp. 115–116, Simplicius on Physics 562.3. Default reading. Published translation ↗ Paired original ↗

    Translation: Public domain (identified historical translation; edition and contributor evidence reviewed for Romania/EU and US)

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