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  • 21 μανθάνω

    Grammatical information: v.
    Meaning: `learn to know, experience' (Pi.).
    Other forms: aor. μαθεῖν (Il.), fut. μαθήσομαι (Thgn., Parm.), perf. μεμάθηκα (Anacr., Xenoph., Emp.).
    Compounds: also with prefix, e.g. κατα-, ἐκ-, προ-, μετα-.
    Derivatives: Nom. actionis: 1. μάθη f. `learning, insight' (Emp., H.). 2. μάθος n. `what is learnt, custom' (Alc., Hp., A.). 3. μάθησις = μάθη (Alcm., IA.; Holt Les noms d'action en - σις 99 w. n. 1). 4. μάθημα `what was learnt, knowledge', pl. `(mathematical) sciences' (IA., hell.) with μαθη-ματ-ικός `fond of learning, scientific, mathematic' (Pl., Arist.; Chantraine Études 131 f.), - ικεύομαι `argue mathematically' (Dam.). 5. μαθημοσύνη `learning' (Phryg., Empire; Wyss - συνη 64). Nom. agentis: μαθη-τής `disciple' (IA.), with - τικός `like a disciple' (Pl., Arist.) and - τικεύομαι (Dem.), - τεύω `be a disciple, make a d.' (NT, Plu.) with - τεία `education' (Timo, D. Chr.), - τιάω `want to be a disciple' (Ar.); f. - τρίς (Ph.), - τρια (D.S., Act.Ap. u.a.); μαθετής `id.' (Knossos IIa; after εὑρετής? Fraenkel Nom. ag. 1, 186).
    Origin: IE [Indo-European] [730] * mendʰ- `direct one's attention on'
    Etymology: On the meaning s. B. Snell Ausdrücke 74f., H. Dörrie, Leid und Erfahrung. Die Wort- und Sinnverbindung παθεῖν -- μαθεῖν im griech. Denken. Mainz 1956. The Greek forms all go back on the zero grade aorist μαθεῖν; full grades could have either μενθ-ήρη ' φροντίς, μέριμνα' (H., EM) or προ-μηθ-ής `design, careful'. The last is isolated (cf. s. v.); with μενθ- agrees OHG mendī `gladness' with menden `rejoice', beside zero grade e.g. in Goth. mundon sis `look at one, σκοπεῖν', OWNo. munda `aim (with a weapon), have a goal'. The root has more or less probable representatives in other languages: Alb. mund `can, overcome' (IE *mn̥dh-); Celt., e.g. Welsh mynnu `want', Lith. mañdras `lively, cheerful', OCS mǫdrъ ' φρόνιμος, σοφός', all with full grade (* mendh- or * mondh-). On Skt. medhā́ `wisdom, insight', Av. mazdā `rememberance' s. Mayrhofer Bibliotheca Orientalis (Leiden) 13 (1956), 112 Sp. 2, where with Duchesne-Guillemin a basis *mn̥sdhā (to mánas = μένος) is assumed. - Further forms in WP. 2, 270 f. (* mendh- `direct one's mind on'), Pok. 730, Fraenkel Wb. s. mañdras, Vasmer Wb. s. múdryj; there also on the further analysis in men-dh- (to μένος).
    Page in Frisk: 2,170-171

    Greek-English etymological dictionary (Ελληνικά-Αγγλικά ετυμολογική λεξικό) > μανθάνω

  • 22 Modernism

       Gottlob Frege, Georg Cantor, and Richard Dedekind were pure mathematicians who built no machines; but they did provide a means, laying the foundations of a new way of thinking in the West. If there is any utility to Modernism, Dedekind did something profoundly useful. The great event... came in the year he wrote his first letter to a fellow mathematician named Georg Cantor, and soon after published a mathematical definition of irrational numbers now known as the "Dedekind Cut." Separating forever the digital from the continuous, at least in arithmetic, Dedekind became the West's first Modernist in 1872. Everyone who has heard of Modernism has heard of Picasso. Most have heard of Joyce. But who has heard of Dedekind? Only mathematicians, the least likelylooking of those who aspire to change the world by using their minds. The public doesn't know what mathematicians are doing, and mathematicians are just as happy it doesn't, for they are as genuinely unworldly as artists claim to be.... Mathematicians did not invent. Instead, they insisted, they discovered things as Plato had-searching in a complicated alternate universe for elegant and beautiful relationships among objects that could not be said to exist outside the mind.
       Without their knowledge, however, the mathematicians of 1870s Germany were about to change the world. As a clutch of Victorian professors, avuncular, ascetic,... they were gathering unawares around the cradle of an infant Briar Rose that would one day be christened Modernism. (Everdell, 1997, pp. 30-31)

    Historical dictionary of quotations in cognitive science > Modernism

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