Rhys Hughes described The Knights of the Limits as a "superlative collection," containing stories that were "fabrics woven from pure thought" that were "threatening to push the genre over the edge of its own spectrum."

"[1] Brian Stableford reviewed The Knights of the Limits in 1979, summarising the collection thus: "These nine stories constitute a parade of ideas which is unparalleled in modern science fiction.

"[2] In Cheap Truth, Bruce Sterling described Bayley as writing science fiction "with the natural fluency of a man who can't help it."

"[3] John Clute commented in The Encyclopedia of Science Fiction that The Knights of the Limits was a "remarkable (though astonishingly bleak) assembly of experiments in the carrying of story ideas to the end of their tether.

"[4] Michael Moorcock selected The Knights of the Limits as the third of his top ten favorite science fiction books, arguing that the collection was "sharper and more substantial than Borges.