quote of the day

[G]iven the fundamental principles of set theory and the simplest of intuitions regarding truth, there is not and cannot be any set of all truths… Of course, [this] result goes well beyond the case of sets. What [it] show[s] is not that our logic leaves out a totality of truths or a notion of “all truths” but that, given fundamental logical principles, there cannot be any such totality, there can be no consistent notion of “all truths.” Given fundamental logical principles, the notion of total knowledge must prove similarly impossible; it is not simply omitted, not transcendentally ineffable, but logically incoherent.

Patrick Grim, The Incomplete Universe, p. 128.

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