Humanitext Reader

Aristotle · Metaphysics §4.6

Indemonstrability of First Principles and Relativism

Passage 39 of 159 · Greek

Summary

In response to skeptical and disputatious questions about the judge of perception, the author points out the self-contradictory demand for a demonstration of first principles. Furthermore, he argues that not all things are relative, thereby establishing the fundamental principle of non-contradiction, which rules out contraries coexisting in the same subject.

§4.6εἰσὶ δέ τινες οἳ ἀποροῦσι καὶ τῶν ταῦτα πεπεισμένων καὶ τῶν τοὺς λόγους τούτους μόνον λεγόντων· ζητοῦσι γὰρ τίς ὁ κρινῶν τὸν ὑγιαίνοντα καὶ ὅλως τὸν περὶ ἕκαστα κρινοῦντα ὀρθῶς.
But there are some, both among those who are convinced of these things and among those who only repeat these arguments, who are in difficulty; for they ask who is the one to judge the healthy person, and on the whole, who will judge correctly about each matter.
τὰ δὲ τοιαῦτα ἀπορήματα ὅμοιά ἐστι τῷ ἀπορεῖν πότερον καθεύδομεν νῦν ἢ ἐγρηγόραμεν, δύνανται δʼ αἱ ἀπορίαι αἱ τοιαῦται πᾶσαι τὸ αὐτό·
Such difficulties are similar to doubting whether we are now asleep or awake; and all such difficulties have the same force.
πάντων γὰρ λόγον ἀξιοῦσιν εἶναι οὗτοι· ἀρχὴν γὰρ ζητοῦσι, καὶ ταύτην διʼ ἀποδείξεως λαμβάνειν, ἐπεὶ ὅτι γε πεπεισμένοι οὐκ εἰσί, φανεροί εἰσιν ἐν ταῖς πράξεσιν.
For these people demand that there be a reason for everything; they seek a starting-point, and they want to obtain this by demonstration—since that they are not actually convinced is clear from their actions.
ἀλλʼ ὅπερ εἴπομεν, τοῦτο αὐτῶν τὸ πάθος ἐστίν· λόγον γὰρ ζητοῦσιν ὧν οὐκ ἔστι λόγος· ἀποδείξεως γὰρ ἀρχὴ οὐκ ἀπόδειξίς ἐστιν.
But as we said, this is their affection: they seek a reason for things for which there is no reason; for the starting-point of demonstration is not a demonstration.
οὗτοι μὲν οὖν ῥᾳδίως ἂν τοῦτο πεισθεῖεν (ἔστι γὰρ οὐ χαλεπὸν λαβεῖν)· οἱ δʼ ἐν τῷ λόγῳ τὴν βίαν μόνον ζητοῦντες ἀδύνατον ζητοῦσιν· ἐναντία γὰρ εἰπεῖν ἀξιοῦσιν, εὐθὺς ἐναντία λέγοντες.
Now these indeed might easily be convinced of this (for it is not difficult to grasp); but those who seek only force in argument seek the impossible, for they demand to state contraries, immediately stating contraries themselves.
εἰ δὲ μὴ ἔστι πάντα πρός τι, ἀλλʼ ἔνιά ἐστι καὶ αὐτὰ καθʼ αὑτά, οὐκ ἂν εἴη πᾶν τὸ φαινόμενον ἀληθές· τὸ γὰρ φαινόμενον τινί ἐστι φαινόμενον·
But if not all things are relative, but some are also independent in themselves, then not everything that appears could be true; for that which appears is what appears to someone.
ὥστε ὁ λέγων ἅπαντα τὰ φαινόμενα εἶναι ἀληθῆ ἅπαντα ποιεῖ τὰ ὄντα πρός τι.
So he who says that all appearances are true makes all things that are relative.
διὸ καὶ φυλακτέον τοῖς τὴν βίαν ἐν τῷ λόγῳ ζητοῦσιν, ἅμα δὲ καὶ ὑπέχειν λόγον ἀξιοῦσιν, ὅτι οὐ τὸ φαινόμενον ἔστιν ἀλλὰ τὸ φαινόμενον ᾧ φαίνεται καὶ ὅτε φαίνεται καὶ ᾗ καὶ ὥς.
Therefore, those who seek force in argument, and at the same time claim to sustain an argument, must guard themselves by this: that it is not simply the appearance that exists, but the appearance to whom it appears, and when it appears, and in what way, and how.
ἂν δʼ ὑπέχωσι μὲν λόγον, μὴ οὕτω δʼ ὑπέχωσι, συμβήσεται αὑτοῖς τἀναντία ταχὺ λέγειν.
And if they sustain an argument, but do not sustain it in this way, it will quickly happen that they contradict themselves.
ἐνδέχεται γὰρ τὸ αὐτὸ κατὰ μὲν τὴν ὄψιν μέλι φαίνεσθαι τῇ δὲ γεύσει μή, καὶ τῶν ὀφθαλμῶν δυοῖν ὄντοιν μὴ ταὐτὰ ἑκατέρᾳ τῇ ὄψει, ἂν ὦσιν ἀνόμοιαι·
For it is possible that the same thing appears to be honey to the sight, but not to the taste, and since we have two eyes, not the same things appear to each of the two sights, if they are unlike.
ἐπεὶ πρός γε τοὺς διὰ τὰς πάλαι εἰρημένας αἰτίας τὸ φαινόμενον φάσκοντας ἀληθὲς εἶναι, καὶ διὰ τοῦτο πάνθʼ ὁμοίως εἶναι ψευδῆ καὶ ἀληθῆ· οὔτε γὰρ ἅπασι ταὐτὰ φαίνεσθαι οὔτε ταὐτῷ ἀεὶ ταὐτά, ἀλλὰ πολλάκις τἀναντία κατὰ τὸν αὐτὸν χρόνον (ἡ μὲν γὰρ ἁφὴ δύο λέγει ἐν τῇ ἐπαλλάξει τῶν δακτύλων ἡ δʼ ὄψις ἕν)· —ἀλλʼ οὔ τι τῇ αὐτῇ γε καὶ κατὰ τὸ αὐτὸ αἰσθήσει καὶ ὡσαύτως καὶ ἐν τῷ αὐτῷ χρόνῳ, ὥστε τοῦτʼ ἂν εἴη ἀληθές.
Since, indeed, to those who on account of the aforementioned causes assert that what appears is true, and for this reason that all things are likewise false and true—for neither do the same things appear to all, nor always the same things to the same person, but often contrary things at the same time (for touch says there are two things when the fingers are crossed, but sight says there is one)—yet not, surely, to the same sense and in the same respect and in the same way and at the same time; so that this would be true.
ἀλλʼ ἴσως διὰ τοῦτʼ ἀνάγκη λέγειν τοῖς μὴ διʼ ἀπορίαν ἀλλὰ λόγου χάριν λέγουσιν, ὅτι οὐκ ἔστιν ἀληθὲς τοῦτο ἀλλὰ τούτῳ ἀληθές.
But perhaps for this reason those who speak not from difficulty but for the sake of argument must say that this is not simply true, but true to this person.
καὶ ὥσπερ δὴ πρότερον εἴρηται, ἀνάγκη πρός τι ποιεῖν ἅπαντα καὶ πρὸς δόξαν καὶ αἴσθησιν, ὥστʼ οὔτε γέγονεν οὔτʼ ἔσται οὐθὲν μηθενὸς προδοξάσαντος.
And as indeed has been said before, they must make everything relative, both to opinion and to sensation, so that nothing has come to be or will be without someone having first opined it.
εἰ δὲ γέγονεν ἢ ἔσται, δῆλον ὅτι οὐκ ἂν εἴη ἅπαντα πρὸς δόξαν.
But if anything has come to be or will be, it is clear that not all things could be relative to opinion.
ἔτι εἰ ἕν, πρὸς ἓν ἢ πρὸς ὡρισμένον· καὶ εἰ τὸ αὐτὸ καὶ ἥμισυ καὶ ἴσον, ἀλλʼ οὐ πρὸς τὸ διπλάσιόν γε τὸ ἴσον.
Furthermore, if a thing is one, it is relative to one thing or to a definite thing; and if the same thing is both a half and equal, yet the equal is surely not relative to the double.
πρὸς δὴ τὸ δοξάζον εἰ ταὐτὸ ἄνθρωπος καὶ τὸ δοξαζόμενον, οὐκ ἔσται ἄνθρωπος τὸ δοξάζον ἀλλὰ τὸ δοξαζόμενον.
If indeed, in relation to that which opines, man and that which is opined are the same, that which opines will not be man, but that which is opined.
εἰ δʼ ἕκαστον ἔσται πρὸς τὸ δοξάζον, πρὸς ἄπειρα ἔσται τῷ εἴδει τὸ δοξάζον.
And if each thing is to be relative to that which opines, that which opines will be relative to things infinite in species.
ὅτι μὲν οὖν βεβαιοτάτη δόξα πασῶν τὸ μὴ εἶναι ἀληθεῖς ἅμα τὰς ἀντικειμένας φάσεις, καὶ τί συμβαίνει τοῖς οὕτω λέγουσι, καὶ διὰ τί οὕτω λέγουσι, τοσαῦτα εἰρήσθω·
That, then, the most secure opinion of all is that contradictory assertions are not true at the same time, and what happens to those who speak thus, and why they speak thus, let so much be said.
ἐπεὶ δʼ ἀδύνατον τὴν ἀντίφασιν ἅμα ἀληθεύεσθαι κατὰ τοῦ αὐτοῦ, φανερὸν ὅτι οὐδὲ τἀναντία ἅμα ὑπάρχειν ἐνδέχεται τῷ αὐτῷ· τῶν μὲν γὰρ ἐναντίων θάτερον στέρησίς ἐστιν οὐχ ἧττον, οὐσίας δὲ στέρησις· ἡ δὲ στέρησις ἀπόφασίς ἐστιν ἀπό τινος ὡρισμένου γένους·
And since it is impossible for contradiction to be true at the same time of the same subject, it is clear that contraries also cannot belong to the same subject at the same time; for of contraries, one is no less a privation, and indeed a privation of substance; and privation is a negation from some definite genus.
εἰ οὖν ἀδύνατον ἅμα καταφάναι καὶ ἀποφάναι ἀληθῶς, ἀδύνατον καὶ τἀναντία ὑπάρχειν ἅμα, ἀλλʼ ἢ πῇ ἄμφω ἢ θάτερον μὲν πῇ θάτερον δὲ ἁπλῶς.
If, then, it is impossible to affirm and deny truly at the same time, it is also impossible for contraries to belong to the same subject at the same time, unless both belong in a certain respect, or one in a certain respect and the other absolutely.

Notes

  1. 1011a8φυλακτέον τοῖς τὴν βίαν ἐν τῷ λόγῳ ζητοῦσιν — The verbal adjective `φυλακτέον` is construed with the dative `τοῖς ... ζητοῦσιν` as a dative of agent. This is preferred over interpreting it as a dative of the object to be guarded against, fitting the context where the interlocutors must guard themselves by adding strict qualifications to their arguments.
  2. 1011a28ἐπεὶ πρός γε τοὺς διὰ τὰς πάλαι εἰρημένας αἰτίας — The subordinate clause introduced by `ἐπεὶ` is interrupted by parenthetical illustrations and finally met with the main clause starting at `ἀλλʼ οὔ τι ...` (1011a34). This constitutes an anacoluthon; the structural core is 'Since, in reply to those who assert..., yet they do not indeed appear so to the same sense at the same time.'
  3. 1011b9πρὸς δὴ τὸ δοξάζον εἰ ταὐτὸ ἄνθρωπος καὶ τὸ δοξαζόμενον — The prepositional phrase `πρὸς τὸ δοξάζον` is fronted for emphasis. Clarifying the contrast between the active `τὸ δοξάζον` (the opining subject) and the passive `τὸ δοξαζόμενον` (the opined object) reveals the argument: if man is identical to the object of opinion, the opining subject itself is reduced to the object.

Cite this passage

Aristotle, Metaphysics §4.6. Humanitext Reader, https://reader.humanitext.ai/en/text/urn:cts:greekLit:tlg0086.tlg025.humanitext-grc2:4.6

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