Ellis, G., Silk, J., Scientific method: Defend the integrity of physics (PDF), Nature 516, 321–323 (2014), https://doi.org/10.1038/516321a (scroll the pages)

For more: George F. R. Ellis, Joseph Silk

David Hilbert famously argued that infinity cannot exist in physical reality. The consequence of this statement — still debated today — has far-reaching implications.

References:
1. George F. R. Ellis, Krzysztof A. Meissner & Hermann Nicolai
Nature Physics, V.14, pages770–772 (2018)
2. Tegmark, M. in Science and Ultimate Reality: From Quantum to Cosmos (eds Barrow, J. D., Davies, P. C. W. & Harper, C. L. Jr) Ch. 21 (Cambridge Univ. Press, Cambridge, 2004)
3. Vilenkin, A. Many Worlds in One: The Search for Other Universes (Hill & Wang, New York, NY, 2007)
4. Hilbert, D. in David Hilbert’s Lectures on the Foundations of Arithmetics and Logic 1917–1933 (eds Ewald, W. & Sieg, W.) 730 (Springer, Heidelberg, 2013)
5. Hermann Nicolai, CERN Courier https://cerncourier.com/gravitys-quantum-side/ (2017)
6. Hawking, S. W. & Penrose, R. Proc. R. Soc. Lond. A 314, 529–548 (1970)
7. Wheeler, J. A. in Battelle Rencontres (Ed. Wheeler, J. A. & DeWitt, C. M.) (W. A. Benjamin, New York, NY, 1967, 1972)
8. Ellis, G. & Silk, J. Nature 516, 321–323 (2014)
9. Gisin, N. Preprint at https://arxiv.org/abs/1803.06824 (2018)

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