標(biāo)題: Titlebook: Reflections on the Foundations of Mathematics; Univalent Foundation Stefania Centrone,Deborah Kant,Deniz Sarikaya Book 2019 Springer Nature [打印本頁] 作者: gingerly 時(shí)間: 2025-3-21 19:03
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作者: PRE 時(shí)間: 2025-3-21 21:22
What Do We Want a Foundation to Do?ious what makes it ‘foundational’. This paper begins with a taxonomy of the jobs set theory does that might reasonably be regarded as foundational. It then moves on to category-theoretic and univalent foundations, exploring to what extent they do these same jobs, and to what extent they might do other jobs also reasonably regarded as foundational.作者: 討人喜歡 時(shí)間: 2025-3-22 02:44
Book 2019undations. It shares the work of significant scholars across the disciplines of mathematics, philosophy and computer science. Readers will discover systematic thought on criteria for a suitable foundation in mathematics and philosophical reflections around the mathematical perspectives..The volume i作者: CORD 時(shí)間: 2025-3-22 04:53 作者: JAMB 時(shí)間: 2025-3-22 09:37 作者: 鞭打 時(shí)間: 2025-3-22 13:37 作者: 酷熱 時(shí)間: 2025-3-22 17:49
Proving Theorems from Reflectionthe axioms of set theory, but are of a less ‘problematic’ nature, as they can be solved by adopting the right axiomatic framework. We contend that any foundations for mathematics should be able to simply formulate such questions as well as to raise at least the theoretical hope for their resolution.作者: coagulation 時(shí)間: 2025-3-23 00:47 作者: Ordnance 時(shí)間: 2025-3-23 03:23 作者: 一條卷發(fā) 時(shí)間: 2025-3-23 06:03
Univalent Foundations and the UniMath Libraryf formalized mathematics implementing the ideas of the Univalent Foundations (Sect. 8.1), and the challenges one faces in attempting to design a large-scale library of formalized mathematics (Sect. 8.2). This leads us to a general discussion about the links between architecture and mathematics where作者: membrane 時(shí)間: 2025-3-23 09:43
Models of HoTT and the Constructive View of Theoriesnstructive view of theories according to which a theory is essentially characterised by its methods. The constructive view of theories was earlier defended by Ernest Nagel and a number of other philosophers of the past but available logical means did not allow these people to build formal representa作者: Fierce 時(shí)間: 2025-3-23 14:40
Set Theory and Structuresnguage focusses on properties that can be determined up to isomorphism within a category, whereas set theory admits of properties determined by the internal structure of the membership relation. Various objections have been raised against this aspect of set theory in the category-theoretic literatur作者: 小卷發(fā) 時(shí)間: 2025-3-23 19:06
A New Foundational Crisis in Mathematics, Is It Really Happening?overy has generated in the community of mathematicians, philosophers and computer scientists might indicate a new crisis in the foundation of mathematics. By examining the mathematical facts behind HoTT and their relation with the existing foundations, we conclude that the present crisis is not one.作者: grenade 時(shí)間: 2025-3-24 00:59 作者: LINES 時(shí)間: 2025-3-24 03:13
What Do We Want a Foundation to Do?d every classical mathematical theorem can be proved from the axioms of set theory. This is obviously a remarkable mathematical fact, but it isn’t obvious what makes it ‘foundational’. This paper begins with a taxonomy of the jobs set theory does that might reasonably be regarded as foundational. It作者: progestogen 時(shí)間: 2025-3-24 09:27
Formal and Natural Proof: A Phenomenological Approaches. Philosophia Mathematica (III) 15:291–320, 2007) that the formalization of a mathematical proof requires a quality of understanding that subsumes all acts necessary for checking the proof and that, consequently, automatic proof checking cannot lead to an epistemic gain about a proof. We present a作者: 斥責(zé) 時(shí)間: 2025-3-24 11:44
Varieties of Pluralism and Objectivity in Mathematicsbased on basic principles and ideas (later axioms) to which the rest of mathematics could be reduced. There was supposed to be only one foundational theory and it was to carry the philosophical weight of giving the ultimate ontology and truth of mathematics. Under this conception of ‘foundation’ plu作者: Concomitant 時(shí)間: 2025-3-24 15:09
Higher Structures in Homotopy Type Theoryse involving an infinite hierarchy of coherence data such as semi-simplicial types, as well as the problem of developing the meta-theory of homotopy type theories in Univalent Foundations. We also discuss some proposed solutions.作者: MAIZE 時(shí)間: 2025-3-24 22:59 作者: 女上癮 時(shí)間: 2025-3-25 00:29
A New Foundational Crisis in Mathematics, Is It Really Happening? We reiterate a pluralist vision of the foundations of mathematics..The article contains a short survey of the mathematical and historical background needed to understand the main tenets of the foundational issues.作者: PANEL 時(shí)間: 2025-3-25 05:39 作者: Epidural-Space 時(shí)間: 2025-3-25 07:44
Maddy On The Multiverseccount salient aspects of multiverse-related mathematics, in particular, research programmes in set theory for which the use of the multiverse seems to be crucial, and show how one may provide responses to Maddy’s concerns based on a careful analysis of ‘multiverse practice’.作者: Diastole 時(shí)間: 2025-3-25 11:58 作者: esoteric 時(shí)間: 2025-3-25 19:19
Set Theory and Structures that it provides an important perspective on plausibly structural properties such as cardinality. We conclude the language of set theory can provide useful information about the notion of mathematical structure.作者: 的闡明 時(shí)間: 2025-3-25 23:08 作者: Entirety 時(shí)間: 2025-3-26 02:36 作者: homeostasis 時(shí)間: 2025-3-26 07:55
tion of classic as well as tools, novel implementation techn.While standardization has empowered the software industry to substantially scale software development and to provide affordable software to a broad market, it often does not address smaller market segments, nor the needs and wishes of indi作者: Exuberance 時(shí)間: 2025-3-26 11:37
Mirna D?amonja,Deborah Kantarket, it often does not address smaller market segments, nor the needs and wishes of individual customers.? Software product lines reconcile mass production and standardization with mass customization in software engineering. Ideally, based on a set of reusable parts, a software manufacturer can ge作者: RADE 時(shí)間: 2025-3-26 12:37
Laura Fontanellaarket, it often does not address smaller market segments, nor the needs and wishes of individual customers.? Software product lines reconcile mass production and standardization with mass customization in software engineering. Ideally, based on a set of reusable parts, a software manufacturer can ge作者: 踉蹌 時(shí)間: 2025-3-26 20:27
Claudio Ternullotion of classic as well as tools, novel implementation techn.While standardization has empowered the software industry to substantially scale software development and to provide affordable software to a broad market, it often does not address smaller market segments, nor the needs and wishes of indi作者: 蝕刻術(shù) 時(shí)間: 2025-3-26 23:13 作者: 無可爭辯 時(shí)間: 2025-3-27 04:25 作者: ADORE 時(shí)間: 2025-3-27 08:03
Thorsten Altenkirchs FIPS-Gesamtsystems beschrieben. In Abschnitt 13.1 erfolgt eine überblicksartige Darstellung der Einzelaufgaben bei der Zuordnung von Herstellressourcen zu Bearbeitungsschritten. Die im Rahmen des FIPS-Projekts durchgeführte prototypische Realisierung der dynamischen Ressourcenauswahl wird im vorli作者: 直覺沒有 時(shí)間: 2025-3-27 11:10
Benedikt Ahrens,Paige Randall Norths FIPS-Gesamtsystems beschrieben. In Abschnitt 13.1 erfolgt eine überblicksartige Darstellung der Einzelaufgaben bei der Zuordnung von Herstellressourcen zu Bearbeitungsschritten. Die im Rahmen des FIPS-Projekts durchgeführte prototypische Realisierung der dynamischen Ressourcenauswahl wird im vorli作者: entail 時(shí)間: 2025-3-27 13:36 作者: 藐視 時(shí)間: 2025-3-27 18:15
Anthony Bordgs FIPS-Gesamtsystems beschrieben. In Abschnitt 13.1 erfolgt eine überblicksartige Darstellung der Einzelaufgaben bei der Zuordnung von Herstellressourcen zu Bearbeitungsschritten. Die im Rahmen des FIPS-Projekts durchgeführte prototypische Realisierung der dynamischen Ressourcenauswahl wird im vorli作者: institute 時(shí)間: 2025-3-27 23:33 作者: 開花期女 時(shí)間: 2025-3-28 03:19
cterized by the potential occurrence of a wide range of clinical presentations with signs and symptoms suggestive of extrapulmonary involvement. In particular, the term neuro-COVID is used to indicate the neurological manifestations of COVID-19. It is an umbrella that collects disparate clinical exp作者: 認(rèn)識(shí) 時(shí)間: 2025-3-28 08:34
Neil Barton,Sy-David Friedmany of cancer pain treatment, but it is possible to use a great variety of drugs, such as NSAIDs, acetaminophen, and several adjuvant drugs. In 1986, the World Health Organization (WHO) established a three-step ladder as a guideline for the treatment of cancer pain [3]. The document was translated int作者: Debility 時(shí)間: 2025-3-28 12:52
Mirna D?amonjay of cancer pain treatment, but it is possible to use a great variety of drugs, such as NSAIDs, acetaminophen, and several adjuvant drugs. In 1986, the World Health Organization (WHO) established a three-step ladder as a guideline for the treatment of cancer pain [3]. The document was translated int作者: voluble 時(shí)間: 2025-3-28 17:11 作者: Alcove 時(shí)間: 2025-3-28 19:21 作者: Lucubrate 時(shí)間: 2025-3-28 23:25
ominal arguments, and in particular the cross-linguistic variation that can be found among the Germanic languages in this domain of the syntax. The empirical topics that are discussed include variable vs. fixed argument order, the distribution of subjects with respect to adjuncts, expletive construc作者: jealousy 時(shí)間: 2025-3-29 03:25
Merlin Carlross-linguistic variation in this domain of the syntax. The central questions that will be addressed on the basis of the Germanic languages are: (a) What are the common underlying properties which determine the distribution of nominal arguments across languages? and (b) How can the considerable cros作者: alliance 時(shí)間: 2025-3-29 08:30 作者: 指派 時(shí)間: 2025-3-29 13:02 作者: Oration 時(shí)間: 2025-3-29 17:03
Models of HoTT and the Constructive View of Theoriesnstructive view of theories according to which a theory is essentially characterised by its methods. The constructive view of theories was earlier defended by Ernest Nagel and a number of other philosophers of the past but available logical means did not allow these people to build formal representational frameworks that implement this view.作者: bleach 時(shí)間: 2025-3-29 22:25 作者: BRAND 時(shí)間: 2025-3-30 00:15
Reflections on the Foundations of Mathematics978-3-030-15655-8Series ISSN 0166-6991 Series E-ISSN 2542-8292 作者: 口訣 時(shí)間: 2025-3-30 05:51
Na?ve Type TheoryWe introduce Type Theory, in its latest incarnation of Homotopy Type Theory, as an alternative to set theory as a foundation of Mathematics. We emphasize the na?ve, intuitive understanding of Type Theory.作者: Lignans 時(shí)間: 2025-3-30 08:41 作者: 玉米棒子 時(shí)間: 2025-3-30 13:36
Synthese Libraryhttp://image.papertrans.cn/r/image/824729.jpg作者: 云狀 時(shí)間: 2025-3-30 19:27 作者: 鋪?zhàn)?nbsp; 時(shí)間: 2025-3-30 21:57 作者: INCUR 時(shí)間: 2025-3-31 03:00
Claudio Ternulloser’s feature selection. The book consists of three parts. Part I provides a general introduction to feature-oriented software product lines, describing the product-line approach and introducing the product-lin978-3-662-51300-2978-3-642-37521-7作者: Nebulizer 時(shí)間: 2025-3-31 06:22
0166-6991 ntribute to discussions on foundational criteria with more general thoughts on the foundations of mathematics which are not connected to particular theories..This book shares the work of some of the most import978-3-030-15657-2978-3-030-15655-8Series ISSN 0166-6991 Series E-ISSN 2542-8292 作者: DEI 時(shí)間: 2025-3-31 11:53
