Regressively

Regressively

In Brief

The abstract, Latinate, rational language of Ithaca can paradoxically intensify the presentation of Bloom's emotional states, by gazing down blankly from olympian heights on his human griefs and longings. The first such moment comes as Bloom recollects other nights when he enjoyed meaningful intellectual conversation. After mentally ticking off a list of such talks, the narrative asks what inference he draws from "the irregular sequence of dates 1884, 1885, 1886, 1888, 1892, 1893, 1904." Answer: "He reflected that the progressive extension of the field of individual development and experience was regressively accompanied by a restriction of the converse domain of interindividual relations." The more we become ourselves, in other words, the less companionship we experience with others. This observation of an inverse relationship feels mathematical, and indeed it owes something to Bertrand Russell's Introduction to Mathematical Philosophy.

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Bloom's memories of other stimulating conversations involve particular people (Owen Goldberg, Cecil Turnbull, Percy Apjohn, "casual acquaintances and prospective purchasers," "major Brian Tweedy and his daughter Miss Marion Tweedy," Julius Mastiansky), places (streets, parlors, railway cars, doorsteps, a garden wall), and times ("at night," "in the evenings," "occasionally," "frequently," "once"). But the bare list of numbers, abstracted from their experiential contexts, invites depressive thoughts. Although its "irregular sequence" hardly justifies the formulation of a mathematical law, it does suggest an inverse relationship between age and companionship. Adult personality displays a pattern of "progressive extension of the field of individual development and experience": as one ages one becomes more intellectually capable, more confident in one's observations and judgments, more set in one's ways, more oneself. Meanwhile, in "the converse domain of interindividual relations," those same years see a "restriction." As we progress, we regress.

Bloom may be thinking this thought only about himself, and he certainly is not doing so in such hyper-abstract terms, but the quasi-mathematical language suggests a universal law of human experience: "progressive" individuality is inevitably accompanied by "regressive" interindividuality. Slote, Mamigonian, and Turner note that two of the narrative's terms, "field" and "converse domain," come from Russell's Introduction to Mathematical Philosophy (1919): "The field of a relation consists of its domain and converse domain together" (32). Joyce jotted down these terms in one of his notebooks: "field = domain & converse" and "converse domain of relations." He also wrote there, "0 = 1/many, ∞ = many/1, other = 1/1," this time reflecting another of Russell's comments: "It will be observed that zero and infinity, alone among ratios, are not one-one. Zero is one-many, and infinity is many-one" (65).

These sentences clearly lie behind the answer to the next question in Ithaca: "From inexistence to existence he came to many and was as one received: existence with existence he was with any as any with any: from existence to nonexistence gone he would be by all as none perceived." Here Russell's zero (1/many) is the person being born, his integers (1/1) are life, and his infinity (many/1) is death. Joyce's formulation describes birth as the process of one individual coming into relationship with many others. Life is a process of one-on-one encounters, searching for meaningful relationship amid a sea of impersonal others. And death is a return to nothingness (or allness, depending on one's beliefs) in which all relationship ceases. The largest knowable expanse of human life, then, exemplifies the law articulated previously: we start out meaningfully connected to many others and see that plenitude shrink toward the vanishing point.

These dark philosophical reflections on human life are echoed emotionally, later in the chapter, in the "lonechill" that Bloom feels when the young man whom he has invited into his life walks cheerfully out of it.

John Hunt 2024

1924 photograph of Bertrand Russell. Source: Wikimedia Commons.