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Infinities in Cosmology

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Abstract

Traditionally, the problem of infinity in cosmology appeared in the form of questions concerning space and time. These questions were notoriously difficult and led to paradoxes. Does space extend to infinity? If so, how can something by definition beyond empirical control be a subject matter of scientific inquiry? If not, what is beyond the edges of space? Similar questions were involved in the time problem: If time had a beginning, what was "before" the beginning? If the age of the universe is infinite, what supplies infinite amounts of energy indispensable to compensate for dissipative losses? Relativistic cosmology did not solve these questions; it only tamed them by elaborating strict mathematical tools, in terms of which they could be expressed while awaiting more empirical data that would help to further elucidate them.

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