Livre, Chap. |
[14, 4] |
εἶναι
ἰδέας·
εἰ
μὲν
γὰρ
|
τῶν |
ἀγαθῶν
μόνον,
οὐκ
ἔσονται
οὐσίαι |
[14, 3] |
ὄντων,
μᾶλλον
δ᾽
ἕν
τι
|
τῶν |
ἀδυνάτων.
Οἱ
μὲν
οὖν
Πυθαγόρειοι |
[14, 3] |
ἀλλὰ
εἰ
καὶ
εἰσί,
τῶνδε
|
τῶν |
αἰσθητῶν
ἔσονται
πάντα
(ἐπὶ
τούτων |
[14, 3] |
λέγειν
καὶ
σωμάτων
ἀλλ᾽
(οὐ
|
τῶν |
αἰσθητῶν·
οἱ
δὲ
χωριστὸν
ποιοῦντες, |
[14, 3] |
δὲ
χωριστὸν
ποιοῦντες,
ὅτι
ἐπὶ
|
τῶν |
αἰσθητῶν
οὐκ
ἔσται
τὰ
ἀξιώματα, |
[14, 2] |
τῶν
ἀριθμητικῶν
πάντα
καὶ
κατὰ
|
τῶν |
αἰσθητῶν
(ὑπάρξει,
καθάπερ
ἐλέχθη.
~Οἱ |
[14, 6] |
μὴ
χωριστὰ
εἶναι
τὰ
μαθηματικὰ
|
τῶν |
αἰσθητῶν,
ὡς
ἔνιοι
λέγουσι,
μηδὲ |
[14, 6] |
σημεῖον
εἰ
δ᾽
ὅτι
διπλάσιον
|
τῶν |
ἄλλων
ἕκαστον,
ἄλλο
δ᾽
οὔ, |
[14, 5] |
ὁμοίως
δὲ
καὶ
ἄνθρωπος
(καὶ
|
τῶν |
ἄλλων
ἕκαστον;
τὰ
δὲ
δὴ |
[14, 2] |
πρός
τι.
Ἐπὶ
μὲν
οὖν
|
τῶν |
ἄλλων
κατηγοριῶν
ἔχει
τινὰ
(καὶ |
[14, 1] |
οὐσίας
ὁμοίως.
Εἰ
δὲ
τῆς
|
τῶν |
ἁπάντων
ἀρχῆς
μὴ
ἐνδέχεται
πρότερόν |
[14, 2] |
ὢν
αἴτιος·
τὰ
γὰρ
θεωρήματα
|
τῶν |
ἀριθμητικῶν
πάντα
καὶ
κατὰ
τῶν |
[14, 3] |
δέ;
ὅτι
τὰ
πάθη
τὰ
|
τῶν |
ἀριθμῶν
ἐν
ἁρμονίᾳ
ὑπάρχει
καὶ |
[14, 4] |
θεωρῆσαι
ἕνεκεν
ποιοῦσι
τὴν
γένεσιν
|
τῶν |
ἀριθμῶν.
Ἔχει
δ᾽
(ἀπορίαν
καὶ |
[14, 2] |
αἰτίαν
(τοῖς
οὖσιν,
εἴπερ
ἕκαστος
|
τῶν |
ἀριθμῶν
ἰδέα
τις
ἡ
δ᾽ |
[14, 3] |
Πυθαγόρειοι
διὰ
τὸ
ὁρᾶν
πολλὰ
|
τῶν |
ἀριθμῶν
πάθη
ὑπάρχοντα
τοῖς
αἰσθητοῖς |
[14, 2] |
τις
τὴν
σκέψιν
καὶ
περὶ
|
τῶν |
ἀριθμῶν
πόθεν
δεῖ
λαβεῖν
τὴν |
[14, 1] |
τοῦ
ἑνός,
τρία
ταῦτα
(στοιχεῖα
|
τῶν |
ἀριθμῶν,
τὰ
μὲν
δύο
ὕλην |
[14, 6] |
τὸ
εὖ
ἐστὶ
τὸ
ἀπὸ
|
τῶν |
ἀριθμῶν
τῷ
ἐν
ἀριθμῷ
εἶναι |
[14, 3] |
ἀκινήτοις
ζητοῦμεν
ἀρχάς,
ὥστε
καὶ
|
τῶν |
ἀριθμῶν
τῶν
τοιούτων
ἐπισκεπτέον
τὴν |
[14, 6] |
ἐν
τοῖς
εἴδεσιν
ἀριθμοὶ
αἴτιοι
|
τῶν |
ἁρμονικῶν
καὶ
τῶν
τοιούτων
(διαφέρουσι |
[14, 5] |
τρόπον
ὁ
ἀριθμός
ἐστιν
ἐκ
|
τῶν |
ἀρχῶν.
Πότερον
μίξει;
ἀλλ᾽
οὔτε |
[14, 6] |
διαφεύγειν
(κατ᾽
οὐδένα
γὰρ
τρόπον
|
τῶν |
διωρισμένων
περὶ
τὰς
ἀρχὰς
οὐδὲν |
[14, 1] |
μεγάλου
καὶ
μικροῦ,
πόῤῥω
λίαν
|
τῶν |
δοκούντων
καὶ
δυνατῶν
λέγουσιν·
πάθη |
[14, 3] |
ὁ
μακρὸς
λόγος
ὥσπερ
ὁ
|
τῶν |
δούλων
ὅταν
μηθὲν
ὑγιὲς
λέγωσιν. |
[14, 2] |
ἀδύνατα·
οἷς
τοσαῦτα
μόνον
ἀφῄρηται
|
τῶν |
δυσχερῶν
ὅσα
διὰ
τὸ
ποιεῖν |
[14, 3] |
τοὺς
ἀριθμοὺς
ποιήσαντες,
τόν
τε
|
τῶν |
εἰδῶν
καὶ
τὸν
μαθηματικόν,
οὔτ᾽ |
[14, 1] |
ὁ
λόγος
μαρτυρεῖ.
Οὐθὲν
ἄρα
|
τῶν |
ἐναντίων
κυρίως
ἀρχὴ
πάντων
ἀλλ᾽ |
[14, 1] |
ἑτέρα.
Οἱ
δὲ
τὸ
ἕτερον
|
τῶν |
ἐναντίων
(ὕλην
ποιοῦσιν,
οἱ
μὲν |
[14, 6] |
πάλιν
τῶν
τῆς
σελήνης,
καὶ
|
τῶν |
ζῴων
γε
ἑκάστου
τοῦ
βίου |
[14, 5] |
τὰς
τοῦ
ὅλου
ἀρχὰς
τῇ
|
τῶν |
ζῴων
καὶ
φυτῶν,
ὅτι
ἐξ |
[14, 4] |
ἀλλ᾽
ὑστερογενῆ.
Παρὰ
μὲν
γὰρ
|
τῶν |
θεολόγων
ἔοικεν
ὁμολογεῖσθαι
τῶν
νῦν |
[14, 3] |
ὁ
αὐτὸς
ἐκείνῳ
ἔσται
τῷ
|
τῶν |
ἰδεῶν
(ἐξ
ἄλλου
δέ
τινος |
[14, 5] |
ποιῆσαι
(ὁ
μὲν
γὰρ
τόπος
|
τῶν |
καθ᾽
ἕκαστον
ἴδιος,
διὸ
χωριστὰ |
[14, 1] |
ἥκιστα
φύσις
τις
ἢ
οὐσία
|
(τῶν |
κατηγοριῶν)
ἐστι,
καὶ
ὑστέρα
τοῦ |
[14, 6] |
ἄλλα
δὴ
ὅσα
συνάγουσιν
ἐκ
|
τῶν |
μαθηματικῶν
θεωρημάτων
πάντα
ταύτην
ἔχει |
[14, 3] |
μὲν
τοῦ
ἀριθμοῦ
(παντὸς
καὶ
|
τῶν |
μαθηματικῶν
τὸ
μηθὲν
συμβάλλεσθαι
ἀλλήλοις |
[14, 5] |
ὡς
ὅροι
(οἷον
αἱ
(στιγμαὶ
|
τῶν |
μεγεθῶν,
καὶ
ὡς
Εὔρυτος
ἔταττε |
[14, 6] |
ἐν
προσθέσει
ἀριθμῶν
εἰσὶν
οἱ
|
τῶν |
μίξεων,
οὐκ
ἐν
ἀριθμοῖς,
οἷον |
[14, 4] |
γὰρ
τῶν
θεολόγων
ἔοικεν
ὁμολογεῖσθαι
|
τῶν |
νῦν
τισίν,
οἳ
οὔ
(φασιν, |
[14, 2] |
(τοῦ
ὄντος
ἀλλ᾽
ἕν
τι
|
τῶν |
ὄντων
πολύ
τε
μᾶλλον,
ὥσπερ |
[14, 4] |
διὰ
τὸ
μεταβάλλειν
τοὺς
ἄρχοντας
|
τῶν |
ὄντων
συμβαίνει
τοιαῦτα
λέγειν,
ἐπεὶ |
[14, 5] |
στοιχείων
εἶναι
τὰ
ὄντα
καὶ
|
τῶν |
ὄντων
τὰ
πρῶτα
τοὺς
ἀριθμούς, |
[14, 4] |
οὔ
(φασιν,
ἀλλὰ
προελθούσης
τῆς
|
τῶν |
ὄντων
φύσεως
καὶ
τὸ
ἀγαθὸν |
[14, 2] |
ἀπόφασις
ἐκείνων,
μία
τε
φύσις
|
τῶν |
ὄντων
ὥσπερ
καὶ
τὸ
τί |
[14, 2] |
ἑκάστῳ
γένει,
πλὴν
χωριστὴν
ἀδύνατον
|
τῶν |
οὐσιῶν
ἀλλ᾽
ἐπὶ
τῶν
τόδε |
[14, 5] |
οὐδὲ
ὁποτέρως
οἱ
ἀριθμοὶ
αἴτιοι
|
τῶν |
οὐσιῶν
καὶ
τοῦ
εἶναι,
πότερον |
[14, 4] |
αἱ
ἰδέαι,
εἰ
δὲ
καὶ
|
τῶν |
οὐσιῶν,
πάντα
τὰ
ζῷα
καὶ |
[14, 5] |
ὕλη
οὔτε
λόγος
καὶ
εἶδος
|
(τῶν |
πραγμάτων.
Ἀλλὰ
μὴν
οὐδ᾽
ὡς |
[14, 5] |
τὰ
τελειότερα,
διὸ
καὶ
ἐπὶ
|
τῶν |
πρώτων
οὕτως
ἔχειν
φησίν,
ὥστε |
[14, 1] |
ἀριθμὸν
πρότερον
τῆς
δυάδος
ἐκ
|
τῶν |
στοιχείων·
καθόλου
γὰρ
ἀμφότερα
(μᾶλλόν |
[14, 1] |
οὐθὲν
ὡς
εἰπεῖν
πρὸς
ἔνια
|
τῶν |
συμβαινόντων,
ἀλλὰ
(πρὸς
τὰς
λογικὰς |
[14, 6] |
ἡλίου
(φορῶν
ἀριθμός,
καὶ
πάλιν
|
τῶν |
τῆς
σελήνης,
καὶ
τῶν
ζῴων |
[14, 2] |
ἀδύνατον
τῶν
οὐσιῶν
ἀλλ᾽
ἐπὶ
|
τῶν |
τόδε
τι
ἔχει
τινὰ
λόγον |
[14, 6] |
ἀριθμοὶ
αἴτιοι
τῶν
ἁρμονικῶν
καὶ
|
τῶν |
τοιούτων
(διαφέρουσι
γὰρ
ἐκεῖνοι
ἀλλήλων |
[14, 3] |
ἀρχάς,
ὥστε
καὶ
τῶν
ἀριθμῶν
|
τῶν |
τοιούτων
ἐπισκεπτέον
τὴν
γένεσιν.
~Τοῦ |
[14, 6] |
ἢ
ἄδηλον;
οἷον
ἔστι
τις
|
τῶν |
τοῦ
ἡλίου
(φορῶν
ἀριθμός,
καὶ |
[14, 4] |
τιθέασι,
καὶ
οἱ
Μάγοι,
καὶ
|
τῶν |
ὑστέρων
δὲ
σοφῶν
οἷον
Ἐμπεδοκλῆς |
[14, 3] |
ἡ
φύσις
ἐπεισοδιώδης
οὖσα
ἐκ
|
τῶν |
(φαινομένων,
ὥσπερ
μοχθηρὰ
τραγῳδία
τοῖς |
[14, 5] |
ἀφομοιῶν
ταῖς
ψήφοις
τὰς
μορφὰς
|
τῶν |
φυτῶν
ἢ
ὅτι
(ὁ)
λόγος |