image thanks to @zpr27
Claude Lorrain 1650
192 mm x 267 mm
British Museum
Sea coast with the landing of Aeneas in Latium, preliminary drawing for the painting; figures alighting from boats in the foreground, a shepherd with flock at right, trees on the rocky cliffs at right, ships at left. c.1650 Pen and brown ink and brown wash, touched with white; on pink-tinted paper; squared with diagonals.
“Quantum field theory is a very rich subject for mathematics as well as physics. But its development in the last seventy years has been mainly by physicists, and it is still largely out of reach as a rigorous mathematical theory despite important efforts in constructive field theory. So most of its impact on mathematics has not yet been felt. Yet in many active areas of mathematics, problems are studied that actually have their most natural setting in quantum field theory. Examples include Donaldson theory of four-manifolds, the Jones polynomial of knots and its generalizations, mirror symmetry of complex manifolds, elliptic cohomology, and many aspects of the study of affine Lie algebras.
To a certain extent these problems are studied piecemeal, with difficulty in understanding the relations among them, because their natural home in quantum field theory is not now part of the mathematical theory. To make a rough analogy (Figure1), one has here a vast mountain range, most of which is still covered with fog. Only the loftiest peaks, which reach above the clouds, are seen in the mathematical theories of today, and these splendid peaks are studied in isolation, because above the clouds they are isolated from one another. Still lost in the mist is the body of the range, with its quantum field theory bedrock and the great bulk of the mathematical treasures.”
this is most lovely….
see the entire film here
Euphronios, potter (signature); Onesimos, painter
Theseus and Amphitrite with Athena looking on. Interior from an Attic red-figure cup, 500–490 BC. From Cerveteri (ancient Caere), Latium.
Louvre Museum Department of Greek, Etruscan and Roman Antiquities, Sully, first floor, room 43, case 22
H. 9.6 cm (3 ¾ in.), Diam. 39.9 cm (15 ½ in.), W. 49 cm (19 ¼ in.)
In Greek mythology, the Nereids (/ˈnɪəriɪdz/ neer-ee-idz; Greek: Νηρηΐδες, sg. Νηρηΐς) are sea nymphs (female spirits of sea waters), the 50 daughters of Nereus and Doris, sister to Nerites.
This list is correlated from four sources: Homer’s Iliad, Hesiod’s Theogony, the Bibliotheca, and Hyginus. Because of this the total number of names goes beyond fifty. [ wikipedia entry ]
| Actaea (Ἀκταίη) Agaue (Ἀγαυὴ) Amatheia (Ἀμάθεια) Amphinome (Ἀμφινόμη) Amphithoe (Ἀμφιθόη) Amphitrite (Ἀμφιτρίτη); the youngest Nereid and wife of Poseidon Apseudes (Ἀψευδὴς) Arethusa Asia Autonoe (Αὐτονόη) Beroe Callianassa (Καλλιάνασσα) Callianeira (Καλλιάνειρα) Ceto Clio Clymene (Κλυμένη) Cranto Creneis Cydippe Cymo (Κυμώ) Cymatolege (Κυματολήγη) Cymodoce (Κυμοδόκη) Cymothoe (Κυμοθόη) Deiopea Dero |
Dexamene (Δεξαμένη) Dione Doris (Δωρίς) Doto (Δωτώ) Drymo Dynamene (Δυναμένη) Eione (Ἠιόνη) Ephyra Erato (Ἐρατώ) Euagore (Εὐαγόρη) Euarne (Εὐάρνη) Eucrante (Εὐκράντη) Eudore (Εὐδώρη) Eulimene (Εὐλιμένη) Eumolpe Eunice (Εὐνίκη) Eupompe (Εὐπόμπη) Eurydice Galene (Γαλήνη) Galatea (Γαλάτεια) Glauce (Γλαύκη) Glauconome (Γλαυκονόμη) Halie (Ἁλίη) Halimede (Ἁλιμήδη) Hipponoe (Ἱππονόη) |
Hippothoe (Ἱπποθόη) Iaera (Ἴαιρα) Ianassa (Ἰάνασσα) Ianeira (Ἰάνειρά) Ione Iphianassa Laomedeia (Λαομέδεια) Leiagore (Ληαγόρη) Leucothoe Ligea Limnoreia (Λιμνώρεια) Lycorias Lysianassa (Λυσιάνασσα) Maera (Μαῖρα) Melite (Μελίτη) Menippe (Μενίππη) Nausithoe Nemertes (Νημερτής) Neomeris Nerea (Νηρεας) Nesaea (Νησαίη) Neso (Νησώ) Opis Oreithyia (Ὠρείθυια) Panopea (Πανόπεια) |
Panope (Πανόπη) Pasithea (Πασιθέη) Pherusa (Φέρουσά) Phyllodoce Plexaure Ploto (Πλωτώ) Polynome Pontomedusa Pontoporeia (Ποντοπόρεια) Poulynoe (Πουλυνόη) Pronoe (Προνόη) Proto (Πρωτώ) Protomedeia (Πρωτομέδεια) Psamathe (Ψαμάθη) Sao (Σαώ) Speio (Σπειώ) Thaleia (Θάλειά) Themisto (Θεμιστώ) Thetis (Θέτις); Leader of the Nereids Thoe (Θόη) Xantho |
Hesiod, Theogony 240 ff (trans. Evelyn-White) (Greek epic C8th or 7th B.C.) :
“To Nereus and to Doris . . . there were born in the barren sea daughters greatly beautiful even among goddesses : Ploto and Eukrante and Amphitrite and Sao, Eudora and Thetis, and Galene and Glauke, Kymothoe and Speio, and Thoe and lovely Halia, Pasithea and Erato, Eunike of the rose arms, and graceful Melite and Eulimene and Agaue, Doto and Proto, Dynamene and Pherousa, Nesaie and Aktaie and Protomedeia, Doris and Panopeia, and Galateia the beautiful, Hippothoe the lovely and Hipponoe of the rose arms, Kymodoke who, with Kymatolege and Amphitrite, light of foot, on the misty face of the open water easily stills the waves and hushes the winds in their blowing. Kymo and Eione, Halimede of the bright garland, Glaukonome, the lover of laughter, and Pontoporeia, Leagore and Euagore and Laomedeia, Poulynoe and Autonoe and Lysianassa, Euarne of the lovely figure and face of perfection, Psamathe of the graceful form and shining Menippe, Neso and Eupompe, and Themisto and Pronoe, and Nemertes, whose mind is like that of her immortal father. These were the daughters born to irreproachable Nereus, fifty in all, and the actions they know are beyond reproach, also.”
Immortal Thetis with the mortal Peleus in the foreground, Boeotian black-figure dish, c. 500–475 BC – Louvre.
Thetis (/ˈθɛtɪs/; Greek: Θέτις [tʰétis]), is encountered in Greek mythology mostly as a sea nymph or known as the goddess of water, one of the 50 Nereids, daughters of the ancient sea god Nereus. [ wikipedia entry ]
Winged Giant (usually identified as Alcyoneus), Athena, Gaia (rising from the ground), and Nike, detail of the Gigantomachy frieze, Pergamon Altar, Pergamon museum, Berlin
In poetry from Homer, an oral tradition of the 8th or 7th century BC, onward, Athena’s most common epithet is Glaukopis (γλαυκῶπις), which usually is translated as, bright-eyed or with gleaming eyes. The word is a combination of glaukos (γλαυκός, meaning gleaming, silvery, and later, bluish-green or gray) and ops (ὤψ, eye, or sometimes, face) | wikipedia entry