Preliminary studies and the labor of preparation

Use in the book

After naming astronomy and distinguishing its seven difficult circuits, the Athenian begins with moon and sun, then declines to repeat the remaining courses (990b–c2). Their difficulty creates the need for preparation. Suitable natures must receive much teaching beforehand and be habituated while the learner is a boy and a young man. The age expressions describe the pupil, not a young teacher.

The order is progressive: numbers themselves; geometry; stereometry; the double and the means of musical ratio; then the divine visible nature (990c–991b2). The account does not merely append several prestigious sciences to an otherwise complete education. The later objects depend on earlier ways of understanding quantity, likeness, dimensional relation, and proportion. The warning that the final object cannot be taken over with ease without these studies insists on that dependence.

Habit and intellectual understanding are not opposed. Early repeated work makes the learner capable of sustained engagement with difficult relations, but rote habituation alone is not the goal. The final method requires questioning inadequately stated claims, grasping precision, and seeing the natural bond among subjects. One can complete disconnected exercises without yet having taken up the curriculum “in this way.”

The closing triad identifies the method as a way, nourishment, and subjects of learning (992a). Trophē recalls the nourishment and education required by the best natures at 989c, giving intellectual formation the character of sustained care rather than a sudden revelation. Yet the command to travel this way “whether hard or easy” should not be converted into a claim that every person has the same capacity. The preceding selection of natures remains in force.

The studies also have a lifelong consequence. Those who have thoroughly labored at them become eligible for the greatest offices in old age. The youthful preparation and aged civic authority form the two ends of the same educational trajectory. The text gives no detailed timetable, compulsory number of years, examination schedule, or graded textbook sequence, so a modern syllabus constructed from it would be an adaptation rather than a transcription.

Places to read

1. 990cπαρασκευάζοντας φύσεις — Suitable natures must be prepared
2. 990cπολλὰ προδιδάσκοντα καὶ ἐθίζοντα — Much preliminary teaching and habituation are required
3. 990cἀεὶ διαπονήσασθαι παῖδα ὄντα καὶ νεανίσκον — The pupil's sustained labor begins in youth
4. 990cμαθημάτων δέον ἂν εἴη — Hence the need for subjects of learning
5. 991b–cἄνευ τῶν νῦν διειρημένων — The final study depends on the subjects just set out
6. 992aοὗτος ὁ τρόπος, αὕτη ἡ τροφή, ταῦτα τὰ μαθήματα — Way, nourishment, and subjects summarize the education
7. 992aεἴτε χαλεπὰ εἴτε ῥᾴδια — Difficulty does not cancel the prescribed route

Translation in this edition

Mathēmata is consistently “subjects of learning,” not automatically “mathematics” in its modern disciplinary sense. The “always” at 990c translates Burnet's correction ἀεί; the manuscripts' different reading is reported separately. “Nourishment” retains the link to the care of the learner rather than replacing the metaphor everywhere with “curriculum.”

Habituation of the learner — ἐθίζειν (ethizein)

ἐθίζειν (ethizein)

Habituation of the learner. Repeated formative work accompanies preliminary instruction; habituation alone is not the final synoptic understanding. Attested: ἐθίζοντα (990c). Preliminary studies and the labor of preparation.

Young learner — παῖς (pais)

παῖς (pais)

Young learner. The accusative age designation belongs to the pupil undergoing preparation, not to the teacher. Attested: παῖδα (990c). Preliminary studies and the labor of preparation.

Divine culminating object — γένεσις (genesis)

γένεσις (genesis)

Divine culminating object. After the prerequisites the learner approaches divine coming into being and the finest visible nature, linking the curriculum to the prior cosmic account. Attested: γένεσιν (991b). Preliminary studies and the labor of preparation.

Denied shortcut to the goal — ῥᾳστώνη (rhaistōnē)

ῥᾳστώνη (rhaistōnē)

Denied shortcut to the goal. The final divine visible study cannot be taken over with ease without the prerequisites just described. Attested: ῥᾳστώνῃ (991c). Preliminary studies and the labor of preparation.

Demand despite difficulty — ῥᾴδιος (rhaidios)

ῥᾴδιος (rhaidios)

Demand despite difficulty. Whether the studies are hard or easy, the prescribed educational way must be traveled. Attested: ῥᾴδια (992a). Preliminary studies and the labor of preparation.

Sustained youthful preparation — διαπονεῖσθαι (diaponeisthai)

διαπονεῖσθαι (diaponeisthai)

Sustained youthful preparation. The pupil is to work through the preparatory studies while a boy and young man. Attested: διαπονήσασθαι (990c). Preliminary studies and the labor of preparation.

Sustaining intellectual course — τροφή (trophē)

τροφή (trophē)

Sustaining intellectual course. The final curriculum is described as nourishment together with way and subjects, making formation more than accumulation of information. Attested: τροφή (992a). Preliminary studies and the labor of preparation.

Formation for advanced study — παρασκευάζειν (paraskeuazein)

παρασκευάζειν (paraskeuazein)

Formation for advanced study. Suitable natures must be prepared for the difficult celestial routes rather than immediately exposed to the final object without prerequisites. Attested: παρασκευάζοντας (990c). Preliminary studies and the labor of preparation.

Difficult celestial paths — ὁδός (hodos)

ὁδός (hodos)

Difficult celestial paths. The remaining routes already described are difficult to understand and therefore require extensive prior preparation. Attested: ὁδοὺς (990c). Preliminary studies and the labor of preparation.

Prerequisite disciplines — μάθημα (mathēma)

μάθημα (mathēma)

Prerequisite disciplines. The plural covers the ordered subjects required for astronomy, including numbers, plane and solid relations, and musical proportion. Attested: μαθημάτων (990c). Preliminary studies and the labor of preparation.

Prerequisite instruction — προδιδάσκειν (prodidaskein)

προδιδάσκειν (prodidaskein)

Prerequisite instruction. Much must be taught in advance during the pupil's youth, grounding later astronomical comprehension. Attested: προδιδάσκοντα (990c). Preliminary studies and the labor of preparation.

Continuing educational stage — νεανίσκος (neaniskos)

νεανίσκος (neaniskos)

Continuing educational stage. The learner's young manhood continues the earlier preparation; the text gives no precise numerical age boundary. Attested: νεανίσκον (990c). Preliminary studies and the labor of preparation.

The pupil is the boy and young man (contextual phrase)

παῖδα ὄντα καὶ νεανίσκον (990c)

The age designations belong to the learner undergoing sustained preparation. They should not be attached to the teacher or turned into a fully specified age schedule absent from the passage. Preliminary studies and the labor of preparation.

Whether hard or easy this way (contextual phrase)

εἴτε χαλεπὰ εἴτε ῥᾴδια, ταύτῃ πορευτέον (992a)

The paired alternatives deny that the difficulty of the studies excuses taking another route. They do not annul the preceding restrictions concerning appropriate natures, preparation, and guidance. Preliminary studies and the labor of preparation.