Hoyle's enduring insights into stars, nucleosynthesis, and the large-scale universe rank among the greatest achievements of 20th-century astrophysics. Moreover, his theories were unfailingly stimulating, even when they proved transient.
In the popular mind, if Hoyle is remembered it is as the prime mover of the discredited Steady State theory of the universe. "Everybody knows" that the rival Big Bang theory won the battle of the cosmologies, but few (not even astronomers) appreciate that the mathematical formalism of the now-favoured version of Big Bang, called inflation, is identical to Hoyle's version of the Steady State model.John Gribbin
This argument [that life is too improbable to have arisen by chance] comes up repeatedly: its latest manifestation is Hoyle's discussion of the likelihood of a wind blowing through a junkyard assembling a Boeing 707 [sic]. What is wrong with it? Essentially, it is that no biologist imagines that complex structures arise in a single step.john maynard smith
[The steady-state theory] was a minority view, but [Hoyle] and a few like-minded theorists were able to keep the plate spinning for years. Another Cambridge luminary, Martin Ryle, finally brought it crashing down. An irascible, hardheaded experimenter, Ryle thought theorists like Hoyle were daffy. In a colloquium on sunspots, Mitton reports, Ryle became so incensed by Hoyle's speculations that he dashed to the blackboard and angrily erased the equations.martin ryle