標(biāo)題: Titlebook: Connecting Humans to Equations; A Reinterpretation o Ole Ravn,Ole Skovsmose Book 2019 Springer Nature Switzerland AG 2019 Philosophy of mat [打印本頁] 作者: Thoracic 時(shí)間: 2025-3-21 18:21
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作者: octogenarian 時(shí)間: 2025-3-21 21:38
https://doi.org/10.1007/978-3-7643-8713-6gicians such as Frege and G?del voiced Platonist notions. Thus the chapter addresses Platonism after Plato, Platonism before Plato, as well as Plato’s Platonism. Furthermore, the chapter examines the idea of axiomatisation, and how this structures Euclid’s .. This work got a paradigmatic significanc作者: animated 時(shí)間: 2025-3-22 01:58
Mechthild Regenass-Klotz,Urs Regenasshematics is the “l(fā)anguage of nature,” infinitesimals must somehow relate to entities in reality. But as such, they are rather unmanageable, for how can a world that has actual extension be built by units so small that they have no extent? How many infinitesimals have to be added up in order to turn 作者: Malleable 時(shí)間: 2025-3-22 06:51 作者: 胰島素 時(shí)間: 2025-3-22 12:34 作者: miracle 時(shí)間: 2025-3-22 13:32
Introduction to tropical geometry,ure that they, when properly chosen, cannot lead to contradictions..This programme appears extremely ambitious, for how can one ensure that one cannot, sometime in the future, end up in deducing contradictions in some mathematical theories? Mathematics is continually developing, and one can imagine 作者: miracle 時(shí)間: 2025-3-22 20:21
Introduction to tropical geometry,about language, Wittgenstein has in mind the formal language provided by mathematics and logic. This leads to the slogan that mathematics is the language of science. Wittgenstein also makes the observation that mathematics is composed of tautologies, which points towards the formalist programme, acc作者: 物種起源 時(shí)間: 2025-3-22 21:35 作者: APNEA 時(shí)間: 2025-3-23 02:19
https://doi.org/10.1007/978-3-0346-0048-4sembles natural sciences. Mathematics is about concept development, and it is driven forward by particular observations concerning conceptual connections. With reference to Euler’s polyhedron theorem, Lakatos provides a detailed specification of how this development takes place, which he condenses i作者: 陪審團(tuán) 時(shí)間: 2025-3-23 07:03 作者: 嬉耍 時(shí)間: 2025-3-23 12:30 作者: 平躺 時(shí)間: 2025-3-23 14:42 作者: 雇傭兵 時(shí)間: 2025-3-23 20:34 作者: ODIUM 時(shí)間: 2025-3-24 01:02
Mathematics in Eternitygicians such as Frege and G?del voiced Platonist notions. Thus the chapter addresses Platonism after Plato, Platonism before Plato, as well as Plato’s Platonism. Furthermore, the chapter examines the idea of axiomatisation, and how this structures Euclid’s .. This work got a paradigmatic significanc作者: abysmal 時(shí)間: 2025-3-24 05:01 作者: 懲罰 時(shí)間: 2025-3-24 07:11 作者: COUCH 時(shí)間: 2025-3-24 12:27
A Solid House of Cardschocked. While Frege gave up solving the paradox and paralysed in his logical endeavours, Russell moved on and tried to locate a solution that could save the logicist programme. In his own time, Frege was an unknown German mathematician with a taste for logic. His work remained unknown to the wider 作者: 流浪 時(shí)間: 2025-3-24 16:49 作者: aesthetic 時(shí)間: 2025-3-24 19:13
Mathematics Without Contentabout language, Wittgenstein has in mind the formal language provided by mathematics and logic. This leads to the slogan that mathematics is the language of science. Wittgenstein also makes the observation that mathematics is composed of tautologies, which points towards the formalist programme, acc作者: 不如樂死去 時(shí)間: 2025-3-25 01:42 作者: Diluge 時(shí)間: 2025-3-25 03:25 作者: 縫紉 時(shí)間: 2025-3-25 08:53
Mathematics as Grammare call them games. Wittgenstein’s point is that it is a hopeless to try to provide a universal definition of “game.” And further: what can be said about “game” also applies to “mathematics.”. It is hopeless to try to answer the question: “What is mathematics?”作者: 滴注 時(shí)間: 2025-3-25 14:26 作者: genuine 時(shí)間: 2025-3-25 18:38
Beyond the Neutrality of Mathematicsons of risks refer to the possibility that when mathematics comes to make part of automatics procedures, for instance in form of automatics piloting, new forms of accidents turn possible. Finally, it becomes pointed out that mathematics provides illusions of objectivity. All such mathematics-based f作者: Iatrogenic 時(shí)間: 2025-3-25 21:33 作者: 改變 時(shí)間: 2025-3-26 02:29 作者: 愚笨 時(shí)間: 2025-3-26 06:53
Book 2019of mathematics, while adding new dimensions to this philosophy. Mathematics is an integral part of human and social life, meaning that a philosophy of mathematics must include several dimensions. This book describes these dimensions by the following four questions that structure the content of the b作者: Needlework 時(shí)間: 2025-3-26 09:08 作者: originality 時(shí)間: 2025-3-26 14:43
Mathematics in Eternityathematics is dealing with. The chapter examines different suggestions. According to Plato, mathematics is about immutable entities that constitute a world of ideas. This world is real—although not palpable to our senses. We cannot sense mathematical objects, but we can grasp them by means of our ra作者: 社團(tuán) 時(shí)間: 2025-3-26 20:05 作者: 隨意 時(shí)間: 2025-3-26 21:32 作者: Inkling 時(shí)間: 2025-3-27 03:06 作者: NICHE 時(shí)間: 2025-3-27 06:44 作者: Proponent 時(shí)間: 2025-3-27 13:30 作者: paradigm 時(shí)間: 2025-3-27 16:39
Mathematics as Intuitioned to as intuitionism. Brouwer is also concerned about the paradoxes that troubled Frege, Russell, Whitehead and Hilbert. However, in order to eliminate the paradoxes, he suggests a radically different remedy. A basic idea of intuitionism is that the very language we use to communicate mathematics g作者: Bernstein-test 時(shí)間: 2025-3-27 17:59 作者: BYRE 時(shí)間: 2025-3-28 01:36
Mathematics as Grammarittgenstein emphasises the profound social component in mathematical constructions. He interprets mathematics as basically a rule-following system, and he sees mathematical rules as being similar to grammatical rules. Rule-following can be interpreted as a social practice, or as a social constructio作者: debouch 時(shí)間: 2025-3-28 04:10
Beyond the Isolation of Mathematics own intrinsic priorities. In general, it is important to considered to what extent mathematics becomes formed through worldviews, metaphysical assumptions, ideologies, political priorities, economic conditions and technologies. The chapter addresses such social structurings of mathematics, and conc作者: 故意釣到白楊 時(shí)間: 2025-3-28 09:26
Beyond the Neutrality of Mathematicschapter considers to what extent mathematics forms part of technological and political actions by establishing new forms of actions as well as by providing justifications for actions. Like any form of action, also mathematics-based actions are not neutral. They are expressions of particular interest作者: 條街道往前推 時(shí)間: 2025-3-28 12:29 作者: 人工制品 時(shí)間: 2025-3-28 17:32 作者: 劇本 時(shí)間: 2025-3-28 21:09 作者: 失望未來 時(shí)間: 2025-3-29 02:46
Springer Nature Switzerland AG 2019作者: 領(lǐng)帶 時(shí)間: 2025-3-29 03:17 作者: fodlder 時(shí)間: 2025-3-29 09:42 作者: 形容詞詞尾 時(shí)間: 2025-3-29 14:39
https://doi.org/10.1007/978-3-7643-8713-6athematics is dealing with. The chapter examines different suggestions. According to Plato, mathematics is about immutable entities that constitute a world of ideas. This world is real—although not palpable to our senses. We cannot sense mathematical objects, but we can grasp them by means of our ra作者: Noctambulant 時(shí)間: 2025-3-29 18:30 作者: Insubordinate 時(shí)間: 2025-3-29 20:42 作者: arousal 時(shí)間: 2025-3-30 03:18
https://doi.org/10.1007/978-94-009-0467-5mathematics to the secure foundation that has been established in logic. It suggests how mathematical concepts can be defined in terms of logical concepts, and how mathematical theorems can be derived from logical proposition..The chapter considers Frege’s critique of important philosophic conceptio作者: Compassionate 時(shí)間: 2025-3-30 05:54
Introduction to tropical geometry,try to demonstrate that mathematics is without contradictions. Meta-mathematics should establish a critical mathematical investigation of mathematics itself. This strategy for a mathematical self-critique was formulated by Hilbert, who did not, as Frege and Russell had suggested, try to establish a 作者: 蕨類 時(shí)間: 2025-3-30 12:12
Introduction to tropical geometry,ught also holds the key to understanding the formalist interpretation of mathematics that can be considered a further development of the meta-mathematical programme..A particular input to logical positivism is provided by Wittgenstein’s .. But what are the messages in the .? In his own preface, Witt作者: Minuet 時(shí)間: 2025-3-30 13:33
