English example sentences with "unalterable"

The unalterable rhythm of mathematics is definition, theorem, proof.
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For instance, here is a portrait of a man at eight years old, another at fifteen, another at seventeen, another at twenty-three, and so on. All these are evidently sections, as it were, three-dimensional representations of his four-dimensioned being, which is a fixed and unalterable thing.
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In the theory of knowledge, as in every other branch of science, we must think dialectically, that is, we must not regard our knowledge as ready-made and unalterable, but must determine how knowledge emerges from ignorance, how incomplete, inexact knowledge becomes more complete and more exact.
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