Academic journal article Linguistic and Philosophical Investigations

Infinity: New Research Frontiers

Academic journal article Linguistic and Philosophical Investigations

Infinity: New Research Frontiers

Article excerpt

Infinity: New Research Frontiers Michael Heller (Pontifical University of John Paul II) W. Hugh Woodin (University of California, Berkeley) New York: Cambridge University Press, 2011, 311 pp. ISBN 978-1-107-00387-3

Religious and scientific concepts of infinity are deeply intertwined. (Achtner) The set of all truths of the transfinite universe cannot be reduced to the set of truths of some explicit fragment of the universe. (Woodin) There is a close connection between the logic of mathematical concepts and the logic of informal concepts from commonsense thinking. (Friedman) We can refine the concepts that we use for understanding the world by enlarging, refining, and sharpening the ensemble of notions that we use for thinking about the world. The source of the problems raised by our intuition about infinity might be in the limitation of our intuition. What we feel as infinity is the immensity of what we realize that we cannot reach. Science and the history of science teach us a sense of the infinity of what we do not know. (Rovelli) Everlasting inflation brings into being an infinite number of bubble universes, each of which is spatially infinite at each time. …

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