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TAXON, Volume 71, Issue 6, Page 1268-1286, December 2022., 2022 Abstract The Carthamus‐Carduncellus complex is formed by approximately 50 taxa that are widely distributed throughout the Mediterranean basin and western Asia. The generic delineation of this complex has always been controversial. Currently, there are three widely diverging taxonomical proposals, suggesting that the complex is formed by (1) a single ...
Roser Vilatersana +4 more
wiley +1 more source
Goodwillie's calculus of functors and higher topos theory [PDF]
Journal of Topology, 2018 We develop an approach to Goodwillie's calculus of functors using the techniques of higher topos theory. Central to our method is the introduction of the notion of fiberwise orthogonality, a strengthening of ordinary orthogonality which allows us to give a number of useful characterizations of the class of $n$-excisive maps.
Georg Biedermann +4 more
openaire +6 more sources
Towards a Paraconsistent Quantum Set Theory [PDF]
Electronic Proceedings in Theoretical Computer Science, 2015 In this paper, we will attempt to establish a connection between quantum set theory, as developed by Ozawa, Takeuti and Titani, and topos quantum theory, as developed by Isham, Butterfield and Döring, amongst others.
Benjamin Eva
doaj +1 more source
Ennobling Love and Erotic Elevation: A Response to Six Readings of Ars Erotica
Eidos. A Journal for Philosophy of Culture, 2022 Preview: In various guises and cultures, the theme of elevating, ennobling love is a recurrent topos in the premodern erotic theory my book traces.
Richard Shusterman
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The over-topos at a model [PDF]
arXiv, 2021 With a model of a geometric theory in an arbitrary topos, we associate a site obtained by endowing a category of generalized elements of the model with a Grothendieck topology, which we call the antecedent topology. Then we show that the associated sheaf topos, which we call the over-topos at the given model, admits a canonical totally connected ...
arxiv
Applied Vegetation Science, Volume 25, Issue 4, October/December 2022., 2022 We demonstrated a new workflow to extend and map a national classification into a new area. Three associations could be mapped using remotely sensed predictors alone (Sentinel and LiDAR), whereas two also required environmental predictors. Our map will guide the indigenous peoples of the area to manage threats to valued communities and their species ...
Susan K. Wiser +5 more
wiley +1 more source
Fuzzy Set Theory and Topos Theory [PDF]
Canadian Mathematical Bulletin, 1986 AbstractThe relation between the categories of Fuzzy Sets and that of Sheaves is explored and the precise connection between them is explicated. In particular, it is shown that if the notion of fuzzy sets is further fuzzified by making equality (as well as membership) fuzzy, the resultant categories are indeed toposes.
openaire +1 more source
On the validity of the definition of a complement-classifier
Zagadnienia Filozoficzne w Nauce, 2020 It is well-established that topos theory is inherently connected with intuitionistic logic. In recent times several works appeared concerning so-called complement-toposes (co-toposes), which are allegedly connected to the dual to intuitionistic logic. In
Mariusz Stopa
doaj
tripleC: Communication, Capitalism & Critique, 2009 Generalizing the conceptual approach to a theory of biosemiotics which is primarily based on insight from mathematical topology , we discuss here the relevance of the cognitive representation of the category of space in terms of the consequences implied ...
Rainer Zimmermann, Wolfgang Hofkirchner
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Category-Theoretical and Topos-Theoretical Frameworks in Machine Learning: A Survey
AxiomsIn this survey, we provide an overview of category theory-derived machine learning from four mainstream perspectives: gradient-based learning, probability-based learning, invariance and equivalence-based learning, and topos-based learning.
Yiyang Jia +3 more
doaj +1 more source