Where is that which is in a place? And if not every being is in a place, how will some beings not be the same as non-being, if indeed not being in a place is common to both? And if only a movable body is in a place, how is the heaven, being a movable body, not in a place? 31. From the same discourse. One might suspect from these things, therefore, that it either does not exist at all or only barely and dimly. For one part of it has come to be and is not, and the other is about to be and is not yet. And from these is composed both infinite time and time that is always being grasped. And that which is composed of non-beings would seem unable to partake of substance. For of every divisible thing, if it exists, it is necessary, when it exists, that either some or all of its parts exist; but of time, some parts have come to be, and others are about to be, and nothing is, though it is divisible. But the "now" is not a part; for the part must measure, and the whole must be composed of the parts; but time does not seem to be composed of "nows." If everything that comes to be, before it came to be, was not, then time is not eternal and without beginning; therefore neither is motion eternal and without beginning, of which time is the number. For if the future part of time is not yet, and the past part of time, before it came to be, was future, there was then a time when the past part of time was not. And if the infinite must be without beginning, then time is not infinite, since it has the change from the future as the beginning of its being. And if the past part of time is time in actuality, and the future in potentiality, and actuality and potentiality are among the things that are, then time, which is composed of the past and the future, is not composed of non-beings. And if time does not partake of substance, yet it does partake of being present to substances, so that from this it is also clear that time is among the things that are. And if the past part of time is observed in the past parts of the divisible, how is no part of time existing, though it is divisible? And if the "now" is not the smallest part of time, what is that which is called the sudden and the indivisible and the instant of time? How is it possible for the change to occur from the future into the "now," and from the "now" into the past, if the "now" is not a part of time? For all is a part of time: first, future; later, now; then, past. 32. From the same fourth discourse of the same treatise. That time, therefore, is neither motion nor without motion, is clear. But that time is created and not eternal, having a beginning and not without beginning, finite and not infinite, this too is clear. And if time is such, then necessarily so too is motion, of which time is the number. 33. From the same discourse. For however great the motion is, so great also does the time always seem
ποῦ τῷ ἐν τόπῳ; Καὶ εἰ μὴ ἅπαν ἐν τόπῳ τὸ ὄν, πῶς οὐκ ἔσται ταὐτὰ τῷ μὴ ὄντι τινὰ τῶν ὄντων, εἴ γε τὸ μὴ εἶναι ἐν τόπῳ κοινόν ἐστιν ἀμφοτέρων; Καὶ εἰ τὸ κινητὸν σῶμα μόνον ἐν τόπῳ ἐστί, πῶς ὁ οὐρανός, σῶμα ὂν κι νητόν, οὐκ ἔστιν ἐν τόπῳ; λα. Ἐκ τοῦ αὐτοῦ λόγου. Ὅτι μὲν οὖν ἢ ὅλως οὐκ ἔστιν ἢ μόλις καὶ ἀμυδρῶς, ἐκ τῶνδέ τις ἂν ὑποπτεύσειε. Τὸ μὲν γὰρ αὐτοῦ γέγονε καὶ οὐκ ἔστι, τὸ δὲ μέλλει καὶ οὔπω ἐστίν. Ἐκ δὲ τούτων καὶ ὁ ἄπειρος καὶ ὁ ἀεὶ λαμβανόμενος χρόνος σύγκειται. Τὸ δὲ ἐκ μὴ ὄντων συγκείμενον ἀδύνατον ἂν δόξειε μετέχειν οὐσίας. Παντὸς γὰρ μεριστοῦ, ἐάν περ ᾖ, ἀνάγκη, ὅτε ἔστιν, ἤτοι ἔνια ἢ πάντα τὰ μέρη εἶναι· τοῦ δὲ χρόνου τὰ μὲν γέγονε, τὰ δὲ μέλλει, ἔστι δὲ οὐθέν, ὄντος μεριστοῦ. Τὸ δὲ νῦν οὐ μέρος· μετρεῖν γὰρ τὸ μέρος καὶ συγκεῖσθαι δεῖ τὸ ὅλον ἐκ τῶν μερῶν· ὁ δὲ χρόνος οὐ δοκεῖ συγκεῖσθαι ἐκ τῶν νῦν. Eἰ πᾶν τὸ γιγνόμενον πρὸ τοῦ γενέσθαι οὐκ ἦν, οὐκ ἄρα ἀΐδιός τε καὶ ἄναρχος ὁ χρόνος· διὸ οὔτε ἡ κίνησίς ἐστιν ἀΐδιός τε καὶ ἄναρχος, ἧς ὁ χρόνος ἐστὶν ἀριθμός. Eἰ γὰρ τὸ μέλλον μέρος τοῦ χρόνου οὔπω ἐστίν, ἦν δὲ καὶ τὸ γεγονὸς μέρος τοῦ χρόνου πρὸ τοῦ γενέσθαι μέλλον, ἦν ἄρα ὅτε οὐκ ἦν τὸ γεγονὸς μέρος τοῦ χρόνου. Καὶ εἰ δεῖ τὸ ἄπειρον ἄναρχον εἶναι, οὐκ ἄρα ἄπειρος ὁ χρόνος, τὴν μετα βολὴν τοῦ μέλλοντος ἔχων ἀρχὴν τοῦ εἶναι. Καὶ εἰ μὲν τὸ γεγονὸς μέρος τοῦ χρόνου ἐνεργείᾳ ἐστὶ χρόνος, τὸ δὲ μέλλον δυνάμει, ἐν δὲ τοῖς οὖσιν ἡ ἐνέργεια καὶ δύναμις, οὐκ ἄρα ἐκ μὴ ὄντων σύγκειται ὁ ἐκ τοῦ γεγονότος καὶ μέλλοντος συγκείμενος χρόνος. Καὶ εἰ τῆς οὐσίας οὐ μετέχει ὁ χρόνος, ἀλλ' ὅμως τοῦ παρακεῖσθαι ταῖς οὐσίαις μετέχει, ὡς καὶ ἐκ τούτου φανερὸν ὅτι τῶν ὄντων ἐστὶν ὁ χρόνος. Καὶ εἰ τὸ γεγονὸς μέρος τοῦ χρόνου ἐν τοῖς γεγονόσι μέρεσι τοῦ μερι στοῦ θεωρεῖται, πῶς οὐθὲν μέρος ἐστὶ τοῦ χρόνου, μεριστοῦ ὄντος; Καὶ εἰ τὸ νῦν οὐκ ἔστιν ἐλάχιστον μέρος τοῦ χρόνου, τί ἐστι τὸ ἐξαίφνης καὶ τὸ ἄτομον καὶ ἡ στιγμὴ τοῦ χρό νου λεγόμενον; Πῶς ἐνδέχεται ἐκ μὲν τοῦ μέλλοντος γί νεσθαι εἰς τὸ νῦν τὴν μεταβολήν, ἐκ δὲ τοῦ νῦν εἰς τὸ παρεληλυθός, τοῦ νῦν μὴ ὄντος μέρους τοῦ χρόνου; Πάντα γὰρ μέρος τοῦ χρόνου, πρῶτον, μέλλον, ὕστερον, νῦν, ἔπειτα, παρεληλυθός. λβ. Ἐκ τοῦ αὐτοῦ τετάρτου λόγου τῆς αὐτῆς πραγματείας. Ὅτι μὲν τοίνυν οὔτε κίνησις οὔτε ἄνευ κινήσεως ὁ χρόνος ἐστί, φανερόν. Ἀλλ' ὅτι γενητὸς ὁ χρόνος καὶ οὐκ ἀΐδιος, ἠργμένος καὶ οὐκ ἄναρχος, πεπερασμένος καὶ οὐκ ἄπειρος, φανερόν ἐστι καὶ τοῦτο. Eἰ δὲ ὁ χρόνος τοιοῦτος, ἐξ ἀνάγκης καὶ ἡ κί νησις, ἧς ἀριθμός ἐστιν ὁ χρόνος. λγ. Ἐκ τοῦ αὐτοῦ λόγου. Ὅση γὰρ ἡ κίνησις, τοσοῦτος καὶ ὁ χρόνος ἀεὶ δοκεῖ