3) the Posterior Analytics, i.
An Aristotelian work often goes on continuously at first, and then becomes disappointing by suddenly introducing discussions which break the connexion or are even inconsistent with the beginning; as in the Posterior Analytics, which, after developing a theory of demonstration from necessary principles, suddenly makes the admission, which is also the main theory of science in the Metaphysics, that demonstration is about either the necessary or the contingent, from principles either necessary or contingent, only not accidental.
The different works are more or less connected by a system of references, which give rise to difficulties, especially when they are cross-references: for example, the Analytics and Topics quote one another: so do the Physics and the Metaphysics; the De Vita and De Respiratione and the De Partibus Animalium; this latter treatise and the De Animalium Incessu; the De Interpretatione and the De Anima.
- Another example of Aristotle's gradual desertion of Plato is exhibited by the De Interpretatione as compared with the Prior Analytics, and it shows another gradual history in Aristotle's philosophy, namely, the development of subject, predicate and copula, in his logic.
This important difference between the De Interpretatione and the Prior Analytics can only be explained by supposing that the former is the earlier treatise.
The Categories earlier than some parts of the Metaphysics, because under the influence of Platonic forms it talks of inherent attributes, and allows secondary substances which are universal; the De Interpretatione earlier than the Analytics, because in it the Platonic analysis of the sentence into noun and verb is retained for the proposition; the Eudemian Ethics and the Magna Moralia earlier than the Nicomachean Ethics, because they are rudimentary sketches of it, and the one written rather in the theological spirit, the other rather in the dialectical style, of Plato; and the Rhetoric to Alexander earlier than the Rhetoric, because it contains a rudimentary theory of the rational evidences afterwards developed into a logic of rhetoric in the Rhetoric and Analytics.
He means that the logical analysis of demonstration in the Analytics would teach them beforehand that there cannot be demonstration, though there must be induction, of an axiom, or any other principle; whereas, if they are not logically prepared for metaphysics, they will expect a demonstration of the axiom, as Heraclitus, the Heraclitean Cratylus and the Sophist Protagoras actually did, - and in vain.
Hence the Posterior Analytics, which is Aristotle's authoritative logic of science, is of peculiar interest because, after beginning by defining science as investigating necessary objects from necessary principles (i.
He got so far as gradually to write short discourses and long treatises, which we, not he, now arrange in the order of the Categories or names; the De Interpretatione on propositions; the Analytics, Prior on syllogism, Posterior on scientific syllogism; the Topics on dialectical syllogism; the Sophistici Elenchi on eristical or sophistical syllogism; and, except that he had hardly a logic of induction, he covered the ground.
He may have laid out the sequence of syllogisms from the Analytics onwards; but how about the Categories and the De Interpretatione?
Secondly, he made no division of logic. In the Categories he distinguished names and propositions for the sake of the classification of names; in the De Interpretatione he distinguished nouns and verbs from sentences with a view to the enunciative sentence: in the Analytics he analysed the syllogism into premisses and premisses into terms and copula, for the purpose of syllogism.
But he never called any of these a division of all logic. Thirdly, he had no one name for logic. In the Posterior Analytics (i.
The Analytics, the most important part, so far from being dialectic or logic in that narrow sense, is called by him not logic but analytic science (avaXvro taTiipn, Rhet.
The Analytics then, which from the beginning claims to deal with science, is a science of sciences, without however forming any part of the classification.
2, 1356 a 33); and, since rhetorical arguments are examples and enthymemes analysed in the Analytics, rhetoric is finally regarded as a compound of analytic science and of morals, while it is like dialectical and sophistic arguments (i.
Then Aristotle himself regarded rhetoric as partly science and partly dialectic, perhaps he would have said that his works on reasoning are some science and others not, and that, while the investigation of syllogism with a view to scientific syllogism in the Analytics is analytic science, the investigation of dialectical syllogism, in the Topics, with its abuse, eristical syllogism, in the Sophistici Elenchi, is dialectic. At any rate, these miscellaneous works on reasoning have no right to stand first in Aristotle's writings under any one name, logic or Organon.
Poste wrote translations of the Posterior Analytics and Sophistici Elenchi; R.
The great commentaries exist only for the Posterior Analytics, Physics, De Caelo, De Anima and Metaphysics.
In this way the Presocratics and Sophists, and still more Socrates and Plato, threw out hints on sense and reason, on inferential processes and scientific methods which may be called anticipations of logic. But Aristotle was the first to conceive of reasoning itself as a definite subject of a special science, which he called analytics or analytic science, specially designed to analyse syllogism and especially demonstrative syllogism, or science, and to be in fact a science of sciences.
The Prior Analytics, on syllogism; 4.
The Posterior Analytics, on demonstrative syllogism, or science; 5.
The main problem which Aristotle set before him was the analysis of syllogism, which he defined as " reasoning in which certain things having been posited something different from them of necessity follows by their being those things " (Prior Analytics, i.
Prior Analytics, ii.
This analysis, regarded as a whole and as it is applied in the Analytics and in the other logical treatises, was evidently intended as a linguistic analysis.
In the Analytics he took the final step of originating the logical analysis of the proposition as premise into subject and predicate as terms mediated by the copula, and analysed the syllogism into these elements.
The Analytics end (Post.
The Prior A T h e Analytics then are concerned with a formal logic to niytics.
Prior Analytics, ii.
21; Posterior Analytics, i.
In the Posterior Analytics the syllogism is brought into decisive connexion with the real by being set within a system in which its function is that of material implication Posterior from principles which are primary, immediate and Analytics.
7 Posterior Analytics, i.
4 Posterior Analytics, ii.
13.6 Posterior Analytics, ii.
6 Posterior Analytics, i.
7 Posterior Analytics, i.
8 Posterior Analytics, ii.
"° Prior Analytics, i.
16 Posterior Analytics, 72a 16 seq.
Posterior Analytics, 77a 26, 76a 37 sqq.
18 Posterior Analytics, ii.
5 Posterior Analytics, ii.
' Prior Analytics, ii.
8 IIapaSeiy sa, Prior Analytics, ii.
The Analytics of Aristotle now entered quite definitely into the logical thought of Scholasticism and we have the contrast of a logica vetus and logica nova .
These include works on the Physica, the Prior and the Posterior Analytics, the Meteorologica, the De anima, the De generatione animalium, the De generatione et interitu and the Metaphysica.
There is no evidence from Galen's own works that he did make this addition to the doctrines of syllogism, and the remarkable passage quoted by Minoides Minas from a Greek commentator on the Analytics, referring the fourth figure to Galen, clearly shows that the addition did not, as generally supposed, rest on a new principle, but was merely an amplification or alteration of the indirect moods of the first figure already noted by Theophrastus and the earlier Peripatetics.
These they expounded, translated, epitomized and made the basis of their compilations, and the few who were bold enough to attempt the Analytics seem to have left their task unaccomplished.
At the same time his psychology, though maintaining his empiricism, contained some seeds of conceptual logic, and indirectly of formal logic. Intellectual development, which according to the logic of the Analytics consists of sense, memory, experience, induction and intellect, according to the psychology of the De Anima consists of sense, imagination and intellect, and one division of intellect is into conception of the undivided and combination of conceptions as one (De An.
Aristotle's was a logic which steered, as Trendelenburg has shown, between Kantian formalism and Hegelian metaphysics; it was a logic which in the Analytics investigated the syllogism as a means to understanding knowledge and science: it was a logic which, starting from the psychological foundations of sense, memory and experience, built up the logical structure of induction and deduction on the profoundly Aristotelian principle that " there is no process from universals without induction, and none by induction without sense."
10 This is the explanation of the formal definition of induction, Prior Analytics, ii.
1 Prior Analytics, i.