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Metaphysics

§6.1

Three Theoretical Sciences and First Philosophy

Deals with the classification of sciences that seek the principles and causes of existing things, defining three theoretical sciences: physics, mathematics, and first philosophy (theology). It clarifies the relationship between them, establishing that first philosophy, which studies immovable and separate substances, is universal precisely because it is first.

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§6.1

αἱ ἀρχαὶ καὶ τὰ αἴτια ζητεῖται τῶν ὄντων, δῆλον δὲ ὅτι ᾗ ὄντα.1 ἔστι γάρ τι αἴτιον ὑγιείας καὶ εὐεξίας, καὶ τῶν μαθηματικῶν εἰσὶν ἀρχαὶ καὶ στοιχεῖα καὶ αἴτια, καὶ ὅλως δὲ πᾶσα ἐπιστήμη διανοητικὴ ἢ μετέχουσά τι διανοίας περὶ αἰτίας καὶ ἀρχάς ἐστιν ἢ ἀκριβεστέρας ἢ ἁπλουστέρας. ἀλλὰ πᾶσαι αὗται περὶ ὄν τι καὶ γένος τι περιγραψάμεναι περὶ τούτου πραγματεύονται, ἀλλʼ οὐχὶ περὶ ὄντος ἁπλῶς οὐδὲ ᾗ ὄν, οὐδὲ τοῦ τί ἐστιν οὐθένα λόγον ποιοῦνται, ἀλλʼ ἐκ τούτου, αἱ μὲν αἰσθήσει ποιήσασαι αὐτὸ δῆλον αἱ δʼ ὑπόθεσιν λαβοῦσαι τὸ τί ἐστιν, οὕτω τὰ καθʼ αὑτὰ ὑπάρχοντα τῷ γένει περὶ ὅ εἰσιν ἀποδεικνύουσιν ἢ ἀναγκαιότερον ἢ μαλακώτερον· διόπερ φανερὸν ὅτι οὐκ ἔστιν ἀπόδειξις οὐσίας οὐδὲ τοῦ τί ἐστιν ἐκ τῆς τοιαύτης ἐπαγωγῆς, ἀλλά τις ἄλλος τρόπος τῆς δηλώσεως. ὁμοίως δὲ οὐδʼ εἰ ἔστιν ἢ μὴ ἔστι τὸ γένος περὶ ὃ πραγματεύονται οὐδὲν λέγουσι, διὰ τὸ τῆς αὐτῆς εἶναι διανοίας τό τε τί ἐστι δῆλον ποιεῖν καὶ εἰ ἔστιν.—ἐπεὶ δὲ καὶ ἡ φυσικὴ ἐπιστήμη τυγχάνει οὖσα περὶ γένος τι τοῦ ὄντος (περὶ γὰρ τὴν τοιαύτην ἐστὶν οὐσίαν ἐν ᾗ ἡ ἀρχὴ τῆς κινήσεως καὶ στάσεως ἐν αὐτῇ, δῆλον ὅτι οὔτε πρακτική ἐστιν οὔτε ποιητική (τῶν μὲν γὰρ ποιητῶν ἐν τῷ ποιοῦντι ἡ ἀρχή, ἢ νοῦς ἢ τέχνη ἢ δύναμίς τις, τῶν δὲ πρακτῶν ἐν τῷ πράττοντι, ἡ προαίρεσις· τὸ αὐτὸ γὰρ τὸ πρακτὸν καὶ προαιρετόν), ὥστε εἰ πᾶσα διάνοια ἢ πρακτικὴ ἢ ποιητικὴ ἢ θεωρητική, ἡ φυσικὴ θεωρητική τις ἂν εἴη, ἀλλὰ θεωρητικὴ περὶ τοιοῦτον ὂν ὅ ἐστι δυνατὸν κινεῖσθαι, καὶ περὶ οὐσίαν τὴν κατὰ τὸν λόγον ὡς ἐπὶ τὸ πολὺ ὡς οὐ χωριστὴν μόνον.2 δεῖ δὲ τὸ τί ἦν εἶναι καὶ τὸν λόγον πῶς ἐστὶ μὴ λανθάνειν, ὡς ἄνευ γε τούτου τὸ ζητεῖν μηδέν ἐστι ποιεῖν. ἔστι δὲ τῶν ὁριζομένων καὶ τῶν τί ἐστι τὰ μὲν ὡς τὸ σιμὸν τὰ δʼ ὡς τὸ κοῖλον. διαφέρει δὲ ταῦτα ὅτι τὸ μὲν σιμὸν συνειλημμένον ἐστὶ μετὰ τῆς ὕλης (ἔστι γὰρ τὸ σιμὸν κοίλη ῥίς), ἡ δὲ κοιλότης ἄνευ ὕλης αἰσθητῆς. εἰ δὴ πάντα τὰ φυσικὰ ὁμοίως τῷ σιμῷ λέγονται, οἷον ῥὶς ὀφθαλμὸς πρόσωπον σὰρξ ὀστοῦν, ὅλως ζῷον, φύλλον ῥίζα φλοιός, ὅλως φυτόν (οὐθενὸς γὰρ ἄνευ κινήσεως ὁ λόγος αὐτῶν, ἀλλʼ ἀεὶ ἔχει ὕλην), δῆλον πῶς δεῖ ἐν τοῖς φυσικοῖς τὸ τί ἐστι ζητεῖν καὶ ὁρίζεσθαι, καὶ διότι καὶ περὶ ψυχῆς ἐνίας θεωρῆσαι τοῦ φυσικοῦ, ὅση μὴ ἄνευ τῆς ὕλης ἐστίν. ὅτι μὲν οὖν ἡ φυσικὴ θεωρητική ἐστι, φανερὸν ἐκ τούτων· ἀλλʼ ἔστι καὶ ἡ μαθηματικὴ θεωρητική· ἀλλʼ εἰ ἀκινήτων καὶ χωριστῶν ἐστί, νῦν ἄδηλον, ὅτι μέντοι ἔνια μαθήματα ᾗ ἀκίνητα καὶ ᾗ χωριστὰ θεωρεῖ, δῆλον. εἰ δέ τί ἐστιν ἀΐδιον καὶ ἀκίνητον καὶ χωριστόν, φανερὸν ὅτι θεωρητικῆς τὸ γνῶναι, οὐ μέντοι φυσικῆς γε (περὶ κινητῶν γάρ τινων ἡ φυσικἤ οὐδὲ μαθηματικῆς, ἀλλὰ προτέρας ἀμφοῖν. ἡ μὲν γὰρ φυσικὴ περὶ χωριστὰ μὲν ἀλλʼ οὐκ ἀκίνητα, τῆς δὲ μαθηματικῆς ἔνια περὶ ἀκίνητα μὲν οὐ χωριστὰ δὲ ἴσως ἀλλʼ ὡς ἐν ὕλῃ· ἡ δὲ πρώτη καὶ περὶ χωριστὰ καὶ ἀκίνητα. ἀνάγκη δὲ πάντα μὲν τὰ αἴτια ἀΐδια εἶναι, μάλιστα δὲ ταῦτα· ταῦτα γὰρ αἴτια τοῖς φανεροῖς τῶν θείων. ὥστε τρεῖς ἂν εἶεν φιλοσοφίαι θεωρητικαί, μαθηματική, φυσική, θεολογική (οὐ γὰρ ἄδηλον ὅτι εἴ που τὸ θεῖον ὑπάρχει, ἐν τῇ τοιαύτῃ φύσει ὑπάρχει, καὶ τὴν τιμιωτάτην δεῖ περὶ τὸ τιμιώτατον γένος εἶναι. αἱ μὲν οὖν θεωρητικαὶ τῶν ἄλλων ἐπιστημῶν αἱρετώταται, αὕτη δὲ τῶν θεωρητικῶν. ἀπορήσειε γὰρ ἄν τις πότερόν ποθʼ ἡ πρώτη φιλοσοφία καθόλου ἐστὶν ἢ περί τι γένος καὶ φύσιν τινὰ μίαν (οὐ γὰρ ὁ αὐτὸς τρόπος οὐδʼ ἐν ταῖς μαθηματικαῖς, ἀλλʼ ἡ μὲν γεωμετρία καὶ ἀστρολογία περί τινα φύσιν εἰσίν, ἡ δὲ καθόλου πασῶν κοινή)· εἰ μὲν οὖν μὴ ἔστι τις ἑτέρα οὐσία παρὰ τὰς φύσει συνεστηκυίας, ἡ φυσικὴ ἂν εἴη πρώτη ἐπιστήμη· εἰ δʼ ἔστι τις οὐσία ἀκίνητος, αὕτη προτέρα καὶ φιλοσοφία πρώτη, καὶ καθόλου οὕτως ὅτι πρώτη·3 καὶ περὶ τοῦ ὄντος ᾗ ὂν ταύτης ἂν εἴη θεωρῆσαι, καὶ τί ἐστι καὶ τὰ ὑπάρχοντα ᾗ ὄν.

The principles and causes of existing things are sought, and clearly, insofar as they exist. For there is a cause of health and of good condition, and of the mathematical objects there are principles, elements, and causes, and in general every intellectual science, or one which shares in some way in intellect, is about causes and principles, either more precise or simpler. But all these sciences, having circumscribed some being and some genus, busy themselves about this, but not about being simply nor insofar as it is being, nor do they make any account of the “what it is”, but starting from this—some making it manifest by perception, others taking the “what it is” as a hypothesis—they thus demonstrate the attributes that belong in themselves to the genus they are concerned with, either more necessarily or more loosely. Wherefore it is clear that there is no demonstration of substance or of the “what it is” from such an induction, but some other way of making it manifest. Similarly, they say nothing about whether the genus they are busy with exists or does not exist, because it belongs to the same thinking to make manifest both what it is and if it exists. —Since physical science also happens to be about some genus of being (for it is about such a substance in which the principle of movement and rest is in itself), it is clear that it is neither practical nor productive (for of productive things the principle is in the producer, whether it is intellect or art or some power, and of practical things in the agent, namely choice; for the thing done and the thing chosen are the same), so that if all thinking is either practical or productive or theoretical, physical science would be a certain theoretical science, but theoretical about such a being as is capable of being moved, and about the substance according to the definition, for the most part, as not separate only. But we must not fail to notice how the essence and the definition exist, since without this, searching is doing nothing. And of things defined and of the “what it is”, some are like the “snub” and others like the “hollow”. These differ because the “snub” is taken together with matter (for the snub is a hollow nose), whereas “hollowness” is without sensible matter. If indeed all physical things are spoken of similarly to the “snub”, such as nose, eye, face, flesh, bone, and in general animal, and leaf, root, bark, and in general plant (for the definition of none of these is without movement, but always has matter), it is clear how we must seek and define the “what it is” in the case of physical things, and why it also belongs to the physicist to contemplate a certain kind of soul, namely as much as is not without matter. That physical science, then, is theoretical is clear from these things. But mathematics is also theoretical; though whether it is of immovable and separate things is now unclear, but that some mathematical branches contemplate them insofar as they are immovable and insofar as they are separate is clear. But if there is something eternal and immovable and separate, it is clear that to know it belongs to a theoretical science, but not to physics (for physics is about certain movable things) nor to mathematics, but to a science prior to both. For physics is about things that are separate but not immovable, and some branches of mathematics are about things that are immovable but perhaps not separate, but as in matter; whereas the first science is about things that are both separate and immovable. And all causes must be eternal, but most of all these; for these are causes of the visible things among the divine. So there would be three theoretical philosophies: mathematics, physics, and theology (for it is not unclear that if the divine belongs anywhere, it belongs in such a nature, and the most honorable science must be about the most honorable genus). The theoretical sciences, then, are more desirable than the other sciences, but this theology is more desirable than the theoretical sciences. For one might raise the question whether first philosophy is universal or about some genus and some single nature (for the way is not the same even in the mathematical sciences, but geometry and astronomy are about some nature, while universal mathematics is common to all). If, then, there is no other substance besides those constituted by nature, physics would be the first science; but if there is some immovable substance, this is prior and first philosophy, and universal in this way because it is first; and it would belong to this to contemplate being insofar as it is being, both what it is and the attributes that belong to it insofar as it is being.

Syntax notes3 items
  1. 1025b3ᾗ ὄντα

    The conjunction ᾗ ("insofar as") accompanied by the participle ὄντα ("existing"). This indicates that the search for principles and causes is conducted "insofar as they exist." It is interpreted not as an attributive modifier directly modifying τῶν ὄντων, but as an adverbial or predicative expression limiting the aspect of the inquiry (modifying the main verb ζητεῖται or the entire predicate).

  2. 1025b27ὡς οὐ χωριστὴν μόνον

    The particle ὡς here qualifies the definitional status of the substance (οὐσίαν) which physics studies. Although literally translated as "only as not separate (ὡς οὐ χωριστήν... μόνον)", in this context it signifies that physical substances do not exist entirely separate from matter, but are always combined with it (though distinguishable in thought). μόνον limits the entire phrase rather than modifying the negation οὐ directly.

  3. 1026a30καὶ καθόλου οὕτως ὅτι πρώτη

    A crucial passage showing Aristotle's metaphysical logic: "first philosophy is universal precisely because it is first." Here οὕτως means "in this way, namely because (ὅτι) it is first (πρώτη)." It bases the claim that the "first" science (which studies immovable substance) can be the "universal" science of being qua being (not limited to a specific genus) on its very "priority."

Translated by Gemini 3.5 Flash (published 2026-05-22) · Revision history (3, latest 2026-09-22)
  • 2026-09-22 AI review — source 1
  • 2026-09-21 AI review — source 2
urn:cts:greekLit:tlg0086.tlg025.humanitext-grc2:6.1