Zobrazeno 1 - 10
of 510
pro vyhledávání: '"P. Atten"'
Autor:
Bair, Jacques, Borovik, Alexandre, Kanovei, Vladimir, Katz, Mikhail G., Kutateladze, Semen S., Sanders, Sam, Sherry, David, Ugaglia, Monica, van Atten, Mark
Publikováno v:
The Mathematical Intelligencer 45 (2023), no. 1, 8
Leibniz scholarship is currently an area of lively debate. We respond to some recent criticisms by Archibald et al.
Comment: 2 pages, appeared in The Mathematical Intelligencer
Comment: 2 pages, appeared in The Mathematical Intelligencer
Externí odkaz:
http://arxiv.org/abs/2212.12422
Leibniz described imaginary roots, negatives, and infinitesimals as useful fictions. But did he view such 'impossible' numbers as mathematical entities? Alice and Bob take on the labyrinth of the current Leibniz scholarship.
Comment: 12 pages, t
Comment: 12 pages, t
Externí odkaz:
http://arxiv.org/abs/2111.00922
Autor:
Dantchi Koulova, Pierre Atten
Publikováno v:
Fluids, Vol 9, Iss 9, p 200 (2024)
In this paper, the instability of two layers of insulating and conducting immiscible liquids separated by a deformable interface and subjected to unipolar injection is examined. Taking into account the slight deformation of the interface between the
Externí odkaz:
https://doaj.org/article/dc4930a1c07842d89dbb63365c0dbb22
Autor:
van Atten, Mark
Kripke's Schema (better the Brouwer-Kripke Schema) and the Kreisel-Troelstra Theory of the Creating Subject were introduced around the same time for the same purpose, that of analysing Brouwer's 'Creating Subject arguments'; other applications have b
Externí odkaz:
http://arxiv.org/abs/1805.00404
Autor:
van Atten, Mark
As Weyl was interested in infinitesimal analysis and for some years embraced Brouwer's intuitionism, which he continued to see as an ideal even after he had convinced himself that it is a practical necessity for science to go beyond intuitionistic ma
Externí odkaz:
http://arxiv.org/abs/1803.05014
Autor:
van Atten, Mark
A common objection to the definition of intuitionistic implication in the Proof Interpretation is that it is impredicative. I discuss the history of that objection, argue that in Brouwer's writings predicativity of implication is ensured through para
Externí odkaz:
http://arxiv.org/abs/1710.07704
Autor:
van Atten, Mark, Sundholm, Göran
We present a new English translation of L.E.J. Brouwer's paper `De onbetrouwbaarheid der logische principes' (The unreliability of the logical principles) of 1908, together with a philosophical and historical introduction. In this paper Brouwer for t
Externí odkaz:
http://arxiv.org/abs/1511.01113
Autor:
van Atten, Mark
In Mathematical Thought and Its Objects, Charles Parsons argues that our knowledge of the iterability of functions on the natural numbers and of the validity of complete induction is not intuitive knowledge; Brouwer disagrees on both counts. I will c
Externí odkaz:
http://arxiv.org/abs/1510.01094
Akademický článek
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Autor:
M. N. van Doorn-van Atten, A. Haveman-Nies, P. Pilichowski, R. Roca, J. H. M. de Vries, C. P. G. M. de Groot
Publikováno v:
BMC Geriatrics, Vol 18, Iss 1, Pp 1-8 (2018)
Abstract Background A good nutritional status is key for maintaining health and quality of life in older adults. In the Netherlands, 11 to 35% of the community-dwelling elderly are undernourished. Undernutrition or the risk of it should be signalled
Externí odkaz:
https://doaj.org/article/053777f3bdfa4b3bb991c46125388ce9