Marco Malvaldi’s L’infinito tra parentesi is a book about infinity that distrusts the grand gesture. That is its best instinct. It does not use infinity as a fog machine for making science sound profound. It keeps putting infinity inside usable forms: a unit of measure, an analogy, a model, a poem, a bit, a memory, a machine instruction, a sentence that has to end.

The subtitle calls it a sentimental history of science from Homer to Borges, and the phrase is accurate. Malvaldi’s real subject is the practical problem shared by science and literature: finite creatures need ways to handle what exceeds them. We cannot hold the world whole. We scale it, cut it, compare it, compress it, and then try not to forget that the compression is not the world. The book matters because it defends this operation without shame. Limitation is not the failure of intelligence. It is the condition under which intelligence becomes possible.

Measurement as a human trick#

The early chapters drag abstraction back to size. Atoms, distances, magnitudes, and universal measures are not treated as neutral schoolbook facts but as tools invented against the chaos of scale. To measure is to admit that the world will not arrive already formatted for the human hand. It has to be translated into something repeatable.

That translation is always partial. Malvaldi is good at the double edge of analogy: without it, nothing becomes thinkable; with it, everything becomes a little false. Homer, Lucretius, Dante, Shelley, Szymborska, Montale, Borges are not decorative names pinned to scientific content. They are examples of the same operation in another discipline. A poem also measures the immeasurable by choosing a form and accepting the violence of the choice. The title’s brackets do real work: a parenthesis isolates something long enough for thought to move.

Rules and runaway worlds#

The strongest middle movement returns to a paradox: finite rules can generate enormous spaces of possibility. This appears through organization, entropy, automata, prediction, and the stubborn fact that some systems can be generated more easily than they can be understood.

Here Malvaldi avoids a common vulgar error in science writing: he does not confuse explanation with mastery. A rule can be clear and its consequences still run away from us. The world is mysterious because looking has costs, scales, delays, and limits.

That line becomes sharper when the book reaches information. Shannon and Landauer prevent information from becoming a ghost. A bit is not an angel. Forgetting is not free. Memory has a physical price. Information becomes a bridge between physics and human finitude. We remember by making marks somewhere; we forget by paying, or refusing to pay, the cost of keeping them.

Ada Lovelace and the symbolic leap#

The chapter on Ada Lovelace shifts the discussion from number to symbol. The programmable machine does not merely calculate faster; it opens the possibility that operations can act on signs according to rules. That is the hinge between computation as arithmetic and computation as culture.

Malvaldi is careful not to inflate Lovelace into a saint of hindsight, which is a mercy. Her importance is structural: if a machine can manipulate symbols, and if symbols can stand for more than quantities, then the machine’s domain is not confined to calculation in the narrow sense. Music, language, pattern, procedure — these become thinkable as formal operations.

This does not make machines intelligent in the easy promotional sense. It makes the question harder. The book suggests that intelligence is a discipline of representation: what must be kept, what can be discarded, what has to be transformed before it can be used. A machine can process symbols. A mind lives in the dangerous interval between symbol and situation.

The virtue of not saying everything#

The final movement, on ambiguity and communication, is where the book earns its title most fully. A perfectly explicit message would have to include every condition of its own interpretation, every possible misunderstanding, every context that might matter. It would expand without end. Real communication survives because it does not attempt that madness. It uses metaphor, convention, omission, trust, and repair.

That is not a defect to be eliminated. It is the human solution to finite time. The same logic runs through the entire book: a measurement leaves things out; a model leaves things out; memory leaves things out; a poem leaves things out; a program leaves things out. The question is not whether we can avoid loss. We cannot. The question is whether the loss is structured well enough to let something true pass through.

There are weaknesses. Malvaldi sometimes enjoys the elegant turn a little too much, and the book occasionally slides toward clever divulgation: the bright comparison, the graceful anecdote, the page that wants to charm before it cuts. The sentimental frame also smooths over harder conflicts inside scientific history. Institutions, money, war, labor, and exclusion remain mostly background weather. This is an essayistic path, not an excavation.

But the path holds. The book’s coherence is stronger than its occasional lightness. Its real subject is not infinity as an object but boundedness as a method. Malvaldi understands that the mind does not become freer by pretending to have no edges. It becomes freer by learning which edges are useful, which are false, and which must be redrawn.

That is why L’infinito tra parentesi stays with me. It makes a modest claim with large consequences: we do not think despite brackets; we think through them. The bracket is not a cage. It is the small engineered space where an impossible object can be handled.