Leonid Grinin

Andrey Korotayev

The present Yearbook (which is the eighth in the series) is subtitled Investigating Past and Future. It is devoted to three problems: the analysis of the aspects of past and present in the light of formal methods; singularity, i.e. forthcoming abrupt shift in development, the approach (or even presence) of which we already feel; the aspects of the cosmic future of human race. This issue consists of four sections: (I) History, Technologies, Politics, and Mathematics includes five articles on different directions of factual or theoretical content: history, technology, politics, and studies covering past, present, and future; (II) Singularity includes two contributions and is devoted to a rather interesting phenomenon of singularity. They suggest that indeed the hyperbolic planetary evolutionary trend observed since the origins of life on the Earth cannot continue beyond the forthcoming singularity, whereas the post-singular evolutionary trend should be qualitatively different from what has been observed before; (III) Beyond the Earth also consists of two very different articles, but they are united by their interest in the future of human race in terms of their interaction with the space; (IV) Reviews and Notes. We hope that this issue will be interesting and useful both for historians and mathematicians, as well as for all those dealing with various social and natural sciences.

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