Abstract
It seems that by ‘having meaning’ or ‘significating’ (σημαίνειν) Aristotle has something like kind of determination in mind: ‘If ‘man’ has one meaning, let this be ‘two-footed animal’; by having one meaning I understand this: If such and such is a man, then if anything is a man, that will be what being a man is (τοῦτ’ ἔσται τὸ ἄνθρώπῳ εἶναι).’ (Met., Γ, 1006a31-34) This also brings kind of whole-particular or class-member relationship to mind: if a word has one meaning, everything that is a particular case of that word, has that meaning. If this is true, we can say ‘significating one thing’ not only determines a word to a sense, it also determines a particular to the sense of the universal word. And this determination is a determination of being, that is, it determines ‘being something’ to a specific sense: to say that A is the meaning of B, whatever will be a B, it will necessarily have A as its meaning. The mental process Aristotle hints as what happens in signification of something is also a determinative act: ‘Thought stops and arrests the hearer’ (ἵστησι γὰρ ὁ λέγων τὴν διὰνοιαν, καὶ ὁ ἀκούσας ἠρέμησεν). (OI., I, 3, 16b19-22)
That signification is kind of determination can be approved from Aristotle’s emphasis that the meaning must be ‘one’ thing, or at least a limited number of things. This is evident both by Aristotle’s accompanying ‘one’ with ‘having meaning’ in ‘having one meaning’ (σημαίνει ἓν ... ἓν σημαίνειν) and by his assertion of the necessity of limited determination just after the above mentioned text: ‘And it makes no difference even if one were to say a word has several meanings, if only they are limited in number.’ (Met., Γ, 1006a31-34)
Not having a limited number of senses, Aristotle argues, implies that there is no ‘one’ meaning for the word and this is not different from having no meaning at all: ‘For not to have one meaning is to have no meaning’ (Met., Γ, 1006b6-7) Aristotle takes this ‘signification of one’ as an argument for both reasoning and PNC. Not having ‘one’ thing as the meaning of a word annihilates reasoning: ‘For it is impossible to think of anything if we do not think of one thing.’ Therefore, Aristotle asks us not only to accept that a word has a meaning but that it has ‘one’ meaning: ‘Let it be assumed then … that the name is significant of something and signifies ‘one’ thing. (Met., Γ, 1006b8-13)
‘Having one signification’ has also another important result for Aristotle because it supports PNC: ‘It is impossible, then, that being a man should mean precisely not being a man, if ‘man’ is not only a signification of one subject but also has one meaning (μὴ μόνον καθ’ ἑνος ἀλλὰ καὶ ἓν).’ (Met., Γ, 1006b13-15) Rejecting PNC and approving both being and not being of a thing is indeed destroying signification: ‘He, then, who says this is and is not denies what he affirms, so that what the word signifies, he says it does not signify; and this is impossible. Therefore, if ‘this is’ signifies something, one cannot truly assert the contradictory.’ (Met., K, 1062a16-20; cf. a20-23)
1) Formula: what is signified
That which is signified by a word is a formula, which becomes the definition of the word out of its signification: ‘Out of their necessarily meaning something definition is created; for the formula, of which the word is a signification, becomes definition.’ (Met., Γ, 1012a21-24)
Now if we consider the three above mentioned points, namely that i) signification is of being, ii) signification is having one meaning and iii) what is signified is indeed a formula, together, we can understand Aristotle better when he says ‘being one’ and ‘having one formula’ are the same: ‘For being one means this, as in the case of ‘raiment’ and ‘dress,’ that the formula is one.’ (Met., Γ, 1006b25-27)
2) What has signification
Besides words, sentences have signification and ‘sentence is a speech significant based on synthesis.’ (OI, I, 4, 16b26) Syllables and parts of simple words do not have meaning and are mere sounds. About parts of composite words, however, although they contribute to the meaning of the whole, they do not have meaning by themselves (καθ’ αὑτό). (OI, I, 4, 16b30-)