Principio del tercero excluido (tertium non datur)

Principio del tercero excluido (tertium non datur) is the either-or rule John Spooke repeatedly uses to frame the group’s debate about the universe. Rather than resolving uncertainty, it forces questions into opposing alternatives and lets John claim that a correct answer exists even when he declines to identify who supplied it.

Definition and First Application

When Mario asks whether John has the key, the moderator continues without answering him. John states that either life exists elsewhere in the universe or it does not, and names the principle as Tertium non datur. He acknowledges that either possibility can leave the group perplexed: life might be abundant beyond Earth, or it might exist only on this planet. The uncertainty, in his presentation, does not create a third option.

John then says that four people at the table have answered the question correctly and precisely. Mario objects that John has not revealed which four; John replies that their identities do not matter to him. The exchange makes the principle less a solution than a rule for classifying answers: John is satisfied that the alternatives have been stated, while withholding the information that would let the group know who chose correctly.

A Method for Dividing the Group

John applies the same either-or structure to a succession of cosmological questions. He asks whether cosmic energy has always existed; if not, whether it arose on its own or through an act of creation from outside or within. He asks whether the universe will keep expanding or contains enough mass to contract and produce repeated big bangs and new universes. Other paired questions concern the existence of a transcendent consciousness, the survival of a human soul after the brain dies, and whether supposedly supernatural phenomena are real or merely remnants of mythical or animistic thinking.

As the questions accumulate, the group repeatedly divides between opposed views. John records the divisions and stresses that at least some people have answered correctly, although no question has produced a unanimous response. The principle thus gives the discussion a brisk, almost procedural rhythm: each question becomes a choice between two positions, and disagreement itself is evidence that the group has not settled on one answer.

The Latin Formula and Its Function

The rule becomes a verbal signature when John raises his resonant Oxford-accented voice, cries that it must be one thing or the other, and seals his second-degree equations with the Latin formula. Its recurrence lends the debate a mock-formal air, as if a compact logical maxim could contain questions about creation, consciousness, death, and the supernatural.

Yet John’s procedure leaves a tension unresolved. He treats the alternatives as exhaustive and says correct answers have been given, but he neither discloses which participants are right nor settles the larger questions for the group. The principle supplies a framework for making distinctions, not evidence for choosing between them. When the conversation moves on to brief presentations of each person’s outlook on life, the either-or questioning has already exposed the room’s divisions without reconciling them.

Significance in the Discussion

In this scene, Tertium non datur connects the smallest logical claim—that there is no third option—to the group’s largest uncertainties. Its force is rhetorical as well as classificatory: it makes the questions sound sharply decidable even while John’s own handling of the answers preserves their uncertainty. By insisting that some participants must be correct but refusing to name them, he keeps the authority to judge while leaving the debate open.