Seemingly the Publius Syrus line may well have been a quote from a play, so who knows what was going on, but I’m talking about how one might understand the phrase in general – what useful meaning one might take from it. My point is that it could be read as saying that the mind/soul will (as a rule) take up love rather than rejecting it. The body may well reject (or not be interested in) love (not just sexual desire – which is what the other reading may well be equating love with) because it is only interested in physical desires. [I’m not claiming this as my philosophy (who am I to knock physical desire?), just as a more interesting reading of the phrase. See Spinoza note below for a meshing of all this ancient disunity].
For the distinction between body and soul: here are some quotes from the Stanford Encyclopaedia of Philosophy, all of which go directly to the issue here. Then a little addendum of my own.
Porphyry
Through the body and its non-rational soul (the seat of appetitive and spirited desires and sense-perception) they [people] belong to the sensible realm, through their higher soul (intellect) to the intelligible. Actually, the true human being is to be identified with the intellect and the intelligible Man. It follows from this that the task set for human beings is to free themselves from the sensible and live by the intelligible, which after all is their true or real nature.
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As noted above, Porphyry distinguishes between the rational (higher) soul and the non-rational (lower) soul. The lower soul is presumably identical with this second power that originates in the soul's inclination toward the body. The higher soul is the same as reason, whereas the lower is responsible for soul-functions that directly involve the body, such as perception and desire. In the tradition before him, this distinction sometimes became so sharp that it was supposed that each person has two distinct souls.
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For Porphyry, as for Plotinus, what matters most in life is to free one's soul from the calamities of the body and the sensible world in general so that it may become purely what it originally and essentially is, viz., a part of the intelligible world.
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Thus, e.g., wisdom as a purgative virtue is defined as the soul's “not forming opinions in accordance with the body, but acting on its own”, whereas wisdom as a contemplative virtue consists in the contemplation of the essences inherent in the Intellect.
Plotinus
The drama of human life is viewed by Plotinus against the axis of Good and evil outlined above. The human person is essentially a soul employing a body as an instrument of its temporary embodied life (see I 1). Thus, Plotinus distinguishes between the person and the composite of soul and body. That person is identical with a cognitive agent or subject of cognitive states (see I 1. 7). An embodied person is, therefore, a conflicted entity, capable both of thought and of being the subject of the composite's non-cognitive states, such as appetites and emotions.
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A person in a body can choose to take on the role of a non-cognitive agent by acting solely on appetite or emotion. In doing so, that person manifests a corrupted desire, a desire for what is evil, the material aspect of the bodily. Alternatively, a person can distance himself from these desires and identify himself with his rational self.
Ancient theories of soul
The soul of the Phaedo [Plato] in fact seems to be precisely what in Republic 4 is identified as just one part of the soul, namely reason, whereas the functions of the lower parts, appetite and spirit, are assigned, in the psychological framework of the Phaedo, to the animate body. And just as the functions of reason (in the Republic) and of the soul (in the Phaedo) are not restricted to cognition, but include desire and emotion, such as desire for and pleasure in learning, so the functions of non-rational soul (in the Republic) and of the body (in the Phaedo) are not restricted to desire and emotion, but include cognition, such as beliefs (presumably) about objects of desire, ‘descriptive’ or (rather) non-evaluative (“there's food over there”) as well as evaluative (“this drink is delightful”) (cf. Phaedo 83d).
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The range of activities (etc.) that the soul is directly responsible for, and which may be described as activities of the soul strictly speaking, is significantly narrower than the range of mental activities. It does not include all of a person's desires, nor need it include all emotional responses, or even all beliefs. One plainly could not have (for instance) ‘bodily’ desires such as hunger and thirst without being ensouled, but that does not mean that it must be the soul itself that forms or sustains such desires.
Love
Such an understanding of eros is encouraged by Plato's discussion in the Symposium, in which Socrates understands sexual desire to be a deficient response to physical beauty in particular, a response which ought to be developed into a response to the beauty of a person's soul and, ultimately, into a response to the form, Beauty.
[Spinoza much later tries to solve the confusion by making soul and body one thing, but calls the soul/body active when acting on its own promptings and passive when “acting” on the promptings of external forces (he doesn’t talk about arbitrio animae/animus, but could do, to mean the action of the soul/body, which would be, by Spinoza’s lights, to accept (non-only-physical) love, because love will make the soul/body stronger and so even more able to act.)]