Zobrazeno 1 - 10
of 35
pro vyhledávání: '"Emanuele Bottazzi"'
Autor:
Emanuele Bottazzi
Publikováno v:
Examples and Counterexamples, Vol 2, Iss , Pp 100061- (2022)
We provide some examples and counterexamples regarding hyperfinite representations of real distributions. We examine some hyperfinite representatives of the null distribution and of the Dirac distribution, we discuss hyperfinite representations of an
Externí odkaz:
https://doaj.org/article/7c942554db7b42eabc96bc3000d56541
Autor:
Emanuele Bottazzi, Roberta Ferrario
Publikováno v:
Phenomenology and Mind, Iss 3 (2016)
Social institutions are considered as generally stable entities but, at the same time, prone to unpredictable and even dramatical changes. The paper draws some considerations on this issue by means of an analysis of the notions of validity and object
Externí odkaz:
https://doaj.org/article/306ddc168e5c4fcea1179336d12bfe8f
Autor:
Emanuele Bottazzi, Roberta Ferrario
Publikováno v:
Rivista di Estetica, Vol 36, Pp 43-58 (2007)
Externí odkaz:
https://doaj.org/article/f59386202c5249a6a2e112ab42042638
Autor:
Emanuele Bottazzi
Publikováno v:
p-Adic Numbers, Ultrametric Analysis and Applications. 13:316-319
We prove that a Riemann-like integral on non-Archimedean extensions of $$\mathbb{R}$$ cannot assign an integral to every function whose standard part is measurable and simultaneously satisfy the fundamental theorem of calculus. We also discuss how ex
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0c3395dc84f7bad3ca2623594ba6d44e
https://doi.org/10.1134/s2070046621040063
https://doi.org/10.1134/s2070046621040063
Autor:
Emanuele Bottazzi, Mikhail G. Katz
Publikováno v:
Philosophia Mathematica. 29:88-109
We analyze recent criticisms of the use of hyperreal probabilities as expressed by Pruss, Easwaran, Parker, and Williamson. We show that the alleged arbitrariness of hyperreal fields can be avoided by working in the Kanovei–Shelah model or in satur
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::89b270cb90bdac190b9c6328bc92ddea
https://doi.org/10.1093/philmat/nkaa032
https://doi.org/10.1093/philmat/nkaa032
Autor:
Emanuele Bottazzi
Publikováno v:
Indagationes Mathematicae. 31:650-694
We introduce the ℒ p spaces of measurable functions whose p th power is summable with respect to the uniform measure over the Levi-Civita field. These spaces are the counterparts of the real L p spaces based upon the Lebesgue measure. Nevertheless,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::55c61725a0a8e1ab0a4b4f740245abe9
https://doi.org/10.1016/j.indag.2020.06.005
https://doi.org/10.1016/j.indag.2020.06.005
Autor:
Emanuele Bottazzi, Monroe Eskew
We introduce a notion of integration defined from filters over families of finite sets. This procedure corresponds to determining the average value of functions whose range lies in any algebraic structure in which finite averages make sense. The aver
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::05e8d9840ed94398ad5d976f7b8cb722
https://doi.org/10.4115/jla.2022.14.1
https://doi.org/10.4115/jla.2022.14.1
Autor:
Emanuele Bottazzi
In functional analysis, there are different notions of limit for a bounded sequence of $$L^1$$ L 1 functions. Besides the pointwise limit, that does not always exist, the behaviour of a bounded sequence of $$L^1$$ L 1 functions can be described in te
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::371fe4f14cfacf1e83c68e7af03a036f
http://arxiv.org/abs/2101.08108
http://arxiv.org/abs/2101.08108
Autor:
Mikhail G. Katz, Emanuele Bottazzi
Publikováno v:
Open Mathematics, Vol 19, Iss 1, Pp 477-482 (2021)
A refinement of the classic equivalence relation among Cauchy sequences yields a useful infinitesimal-enriched number system. Such an approach can be seen as formalizing Cauchy's sentiment that a null sequence "becomes" an infinitesimal. We signal a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fe094c22d9e173a36acd6359e4f64b0f
Autor:
Mikhail G. Katz, Emanuele Bottazzi
A probability model is underdetermined when there is no rational reason to assign a particular infinitesimal value as the probability of single events. Pruss claims that hyperreal probabilities are underdetermined. The claim is based upon external hy
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c3078ef534214f7ac8b3dfd7eaacc03f
http://arxiv.org/abs/2008.11513
http://arxiv.org/abs/2008.11513