Several authors have made claims, none of which has been rebutted, that
the flatness problem, as formulated by Dicke and Peebles, is not really
a problem but rather a misunderstanding. In particular, no
fine-tuning in the early Universe is needed, neither in general nor
in order to explain the fact that no strong departure from flatness is
observed today. Nevertheless, the flatness problem is still widely
perceived to be real. Most of the arguments against the idea of a
flatness problem are based on the change with time of the density
parameter Ω and normalized cosmological constant λ and,
since the Hubble constant H is not considered, are independent of
timescale. However, it is sometimes claimed that fine-tuning is
required in order to produce a Universe which neither collapsed after
a short time nor expanded so quickly that no structure formation could
take place. I show that these arguments also do not imply that
fine-tuning of the basic cosmological parameters is necessary and
discuss some pitfalls of the typical Gedankenexperiment involved.
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