Greek named more than one way of being bound. It did not leave a numbered set of loves.
English uses one word for too many offices. Himeros, Pothos and Anteros already belong to the company of Eros. Other Greek words name other human work. They are neighbors. They are not a quiz.
Philia
φιλία
Friendship, goodwill, the wish that another fare well.
Aristotle spends two books of the Nicomachean Ethics on philia. He distinguishes bonds of use, of pleasure, and of virtue. The word also covers family and the city. It can sit beside eros. It is not eros with the wanting removed.
Xenia
ξενία
Guest-friendship.
A Homeric office: host and stranger bound by gift, protection, and Zeus Xenios. It is obligation and welcome. It is not a mood.
Philotes
φιλότης
Affection. In Empedocles, a cosmic force.
Empedocles names Love Philotes, set against Strife. Hesiod had already placed Eros near the beginning of a world. Two cosmogonies. Two names. They are not the same poem.
Storge
στοργή
Natural affection, especially of parents and children.
The word exists. High archaic poetry rarely leans on it. Later English made it one of four loves. The Greek is quieter than the chart.
Agape
ἀγάπη
The verb ἀγαπᾶν is old: to regard with affection, to be fond of. The noun becomes central in the Septuagint and the New Testament, where it can name God’s love and the love commanded of persons.
The later theology is later.
Anders Nygren opposed agape to eros as two religions of love. That argument belongs to the twentieth century. It is not Hesiod’s problem, and it is not this house’s verdict.
In 1960 C. S. Lewis published The Four Loves: storge, philia, eros, agape. Later lists added ludus, a Latin word, and pragma, a modern coinage. Those lists can help an English reader notice that love is not one thing. They are not a classical syllabus.
The chart is useful. It is not the source.
This walk stays with Eros because Eros is the problem of being moved toward what we do not yet have, or cannot keep.
The other words remain. They have their own offices.