標(biāo)題: Titlebook: Diagrams, Visual Imagination, and Continuity in Peirce‘s Philosophy of Mathematics; Vitaly Kiryushchenko Book 2023 Springer Nature Switzer [打印本頁(yè)] 作者: ossicles 時(shí)間: 2025-3-21 16:57
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作者: 感激小女 時(shí)間: 2025-3-21 23:25
https://doi.org/10.1007/978-3-531-91429-9ment upon it and to visually demonstrate the necessity of a given conclusion. On the other hand, it represents an abstract mathematical entity that cannot be reduced to a sum total of its particular representations. It follows, then, that a diagram partakes the characteristics of both an individual 作者: 不可知論 時(shí)間: 2025-3-22 03:48 作者: 誘惑 時(shí)間: 2025-3-22 06:04 作者: entitle 時(shí)間: 2025-3-22 11:36 作者: 無(wú)孔 時(shí)間: 2025-3-22 15:59
Manfred Thumm,Werner Wiesbeck,Stefan Kern of the ways to “prove” his version of pragmatism. The most notable attempt at such proof is provided by Peirce in MS 318, where he integrates his pragmatism within his semiotics by reconciling his pragmatic maxim and his general definition of a sign (EP2: 398–433). Pragmatically speaking, the meani作者: 無(wú)孔 時(shí)間: 2025-3-22 17:45
Darstellung linearer Schaltungen,, the absence of intuitive guidance, which initially paved the way to the solution, leads to the exponential growth in the number of possible rewrites that are, at times, too much to handle even for a powerful AI (Kulpa 2009, p. 76). Mathematicians tend to make shortcuts in their demonstrations, and作者: 陰郁 時(shí)間: 2025-3-22 23:24 作者: 確定無(wú)疑 時(shí)間: 2025-3-23 01:55 作者: 重疊 時(shí)間: 2025-3-23 08:28
2522-5405 cal andmathematical ideas, bits and pieces of his biography, his personal intellectual predispositions, and his scientific practice as an applied mathematician..978-3-031-23247-3978-3-031-23245-9Series ISSN 2522-5405 Series E-ISSN 2522-5413 作者: 祝賀 時(shí)間: 2025-3-23 11:25
Introduction,ment upon it and to visually demonstrate the necessity of a given conclusion. On the other hand, it represents an abstract mathematical entity that cannot be reduced to a sum total of its particular representations. It follows, then, that a diagram partakes the characteristics of both an individual 作者: Sleep-Paralysis 時(shí)間: 2025-3-23 14:48
Iconicity, Novelty, and Necessity,set of fully determinate particulars. This means that, in order to see and make perceptual judgments, we need to be able to lay stress on some features and drop some others. This inferential selectiveness of vision results from a process that is beyond our conscious control. During the construction 作者: archaeology 時(shí)間: 2025-3-23 18:29
Diagrams Between Images and Schemata,ange as I move the piece closer to the fire. The only characteristics that remain unchanged are the extension and changeability of the piece, neither of which is perceived directly through the senses or the imagination. On this view, what helps me hold on to the concept of wax and understand what it作者: 結(jié)構(gòu) 時(shí)間: 2025-3-24 01:08 作者: Allege 時(shí)間: 2025-3-24 04:15
Iconicity, Similarity, and Habitual Action, of the ways to “prove” his version of pragmatism. The most notable attempt at such proof is provided by Peirce in MS 318, where he integrates his pragmatism within his semiotics by reconciling his pragmatic maxim and his general definition of a sign (EP2: 398–433). Pragmatically speaking, the meani作者: 使混合 時(shí)間: 2025-3-24 10:21
,L’image-Mouvement, Mathematically Sublime, and the Perception of Totality,, the absence of intuitive guidance, which initially paved the way to the solution, leads to the exponential growth in the number of possible rewrites that are, at times, too much to handle even for a powerful AI (Kulpa 2009, p. 76). Mathematicians tend to make shortcuts in their demonstrations, and作者: neuron 時(shí)間: 2025-3-24 12:25 作者: 認(rèn)為 時(shí)間: 2025-3-24 18:46
https://doi.org/10.1007/978-3-531-91429-9principle, or to extract an algorithm that defines the seemingly chaotic movement of pigeons picking bread crumbs from the ground. Using diagrams helps mathematicians identify patterns that solve particular mathematical problems by making the force of necessary reasoning .. An important question, th作者: fetter 時(shí)間: 2025-3-24 20:39
https://doi.org/10.1007/978-3-531-91429-9e (1809–1880), a disciple of a famous American mathematician and cartographer Nathaniel Bowditch (1773–1838), is best known for his book on linear associative algebra (Peirce 1882), his original calculations of Neptune’s orbit, and the so-called “Peirce Criterion,” which is still used today in mathe作者: milligram 時(shí)間: 2025-3-25 02:42
https://doi.org/10.1007/978-3-658-19722-3he architectonic of Peirce’s pragmatism. Apart from this, during Peirce’s lectureship at Johns Hopkins University (1879–1883), statistical methods instigated his interest in different theories of the natural conditions of criminality and unconventional behavior in general, and his research into the 作者: 小丑 時(shí)間: 2025-3-25 03:37
Hochfrequenztechnik in der Medizin,bits, according to Peirce, condition the aptitude for visual thinking, our next goal is to build a link between Peirce’s idea of a visual diagram and his conception of the universal categories. This task opens a more technical part of the current study. Accomplishing it first requires explaining wha作者: SEVER 時(shí)間: 2025-3-25 09:27 作者: instulate 時(shí)間: 2025-3-25 12:35
Elektrotomie unter Flüssigkeitsapplikationt, to a broader understanding of them as the most basic mathematical elements inherent in nature and thought. From this perspective, Peirce’s early trichotomy of categories (quality, relation, and representation) may be restated as comprising ., ., and ., or, as Peirce preferred to call his categori作者: fatty-streak 時(shí)間: 2025-3-25 16:44 作者: CAMEO 時(shí)間: 2025-3-25 20:49
Hochfrequenz-diathermie in der Endoskopiee initially predefined in the precept (for instance, a diagram of a square may not show diagonal lines connecting its vertices, a given number sequence may not reveal certain new patterns unless it undergoes certain change, etc.). In this respect, mathematical diagrams are like any other language in作者: xanthelasma 時(shí)間: 2025-3-26 02:52
Aufbau von Hochfrequenzdiathermieger?tenries and classical rationalism. On the one hand, empiricists believed in sense-contents as the pre-theoretical empirical basis of knowledge and in theory-independent data immediately accessible to us in either outer or introspective sensation. According to this view, there are judgements (like “this作者: tenuous 時(shí)間: 2025-3-26 04:41
Manfred Thumm,Werner Wiesbeck,Stefan Kernd. Peirce accepts Kant’s overall treatment of mathematical knowledge, which implies that what is available in ordinary visual experience, already contains pure mathematical intuitions. According to Kant, this is one of the reasons why mathematics is a deductive science. Even if, as Kant says, I cons作者: 逢迎春日 時(shí)間: 2025-3-26 08:37
Manfred Thumm,Werner Wiesbeck,Stefan Kernan object consists in is an account of our would-be responses to the changes resulting from our experiments with this object. What ideas . to us lies in whatever we are prepared to . with the objects those ideas are about. Peircean sign systems, therefore, act like any language, with the proviso tha作者: 智力高 時(shí)間: 2025-3-26 14:52 作者: 1分開 時(shí)間: 2025-3-26 18:48 作者: Costume 時(shí)間: 2025-3-27 00:15 作者: 館長(zhǎng) 時(shí)間: 2025-3-27 04:45
https://doi.org/10.1007/978-3-663-10313-4thematician at the US Coast and Geodetic Survey, his interpretations of Kant’s critical philosophy, and some of the major themes in his philosophy of mathematics pertaining to diagrammatic reasoning. Such admixture of data, as unrelated as they . might seem, is, in fact, more than appropriate to the作者: canvass 時(shí)間: 2025-3-27 09:20
https://doi.org/10.1007/978-3-031-23245-9semiotics; patterns; psychology of vision; Kant‘s transcendental schemata; continuity of spacial represe作者: 誘惑 時(shí)間: 2025-3-27 10:31 作者: Regurgitation 時(shí)間: 2025-3-27 15:15 作者: Truculent 時(shí)間: 2025-3-27 18:30 作者: 搖晃 時(shí)間: 2025-3-28 00:01 作者: Axillary 時(shí)間: 2025-3-28 03:27
Mathematics in Mindhttp://image.papertrans.cn/d/image/270836.jpg作者: 半球 時(shí)間: 2025-3-28 09:41
One, Two, Three,t, to a broader understanding of them as the most basic mathematical elements inherent in nature and thought. From this perspective, Peirce’s early trichotomy of categories (quality, relation, and representation) may be restated as comprising ., ., and ., or, as Peirce preferred to call his categories from the mid-1880s on, ., ., and ..作者: mechanical 時(shí)間: 2025-3-28 11:56 作者: Type-1-Diabetes 時(shí)間: 2025-3-28 16:08 作者: AVOW 時(shí)間: 2025-3-28 20:02
Grundlagen der Leitungstheorie,etimes mentions mapping as an operation that helps one organize and clarify his thinking process (see, e.g., CP1: 364; CP4: 533). “Prolegomena to an Apology for Pragmaticism,” one of Peirce’s papers on diagrammatic logic, begins with the following imaginary dialogue, which reveals an important comparison between maps and diagrams:作者: 時(shí)代 時(shí)間: 2025-3-28 23:56 作者: GRIN 時(shí)間: 2025-3-29 03:17
,Peirce’s Transcendental Deduction and Beyond: Categories, Community, and the Self,r the basic diagrammatic representation of this idea in Chapters . and .. On the other hand, this will help us better understand how Peirce’s views on the nature of generality and community of inquiry are related to his idea of continuity (Chapter .).作者: 寵愛(ài) 時(shí)間: 2025-3-29 08:19
https://doi.org/10.1007/978-3-658-19722-3ematical genius, this discipline formed in him a steady habit of self-interpretation―the habit that, with time, developed to the extent that, in one of his letters to his lifelong friend William James, Peirce confessed: “I have been forced to study myself until I have become a devoted .” (MHFC Peirce to James, 07/16/1907).作者: candle 時(shí)間: 2025-3-29 12:30 作者: 茁壯成長(zhǎng) 時(shí)間: 2025-3-29 15:52
Logic and Mathematics,ematical genius, this discipline formed in him a steady habit of self-interpretation―the habit that, with time, developed to the extent that, in one of his letters to his lifelong friend William James, Peirce confessed: “I have been forced to study myself until I have become a devoted .” (MHFC Peirce to James, 07/16/1907).作者: 模范 時(shí)間: 2025-3-29 21:45 作者: Neutral-Spine 時(shí)間: 2025-3-30 01:08
Meritocratism, Errors, and The Community of Inquiry,matical statistics for the elimination of suspect experimental data (Kent 2011; Ross 2003). Like his son Charles, Benjamin Peirce was a highly unusual individual. The incomprehensibility and hermetic character of his lectures at Harvard were the subject of many legends and anecdotes. As one of his colleagues once wrote:作者: Expediency 時(shí)間: 2025-3-30 05:50
Sign Relation,nized sense data to general concepts that unify the manifold of the data. With this in mind, we are now set to approach the idea of a diagram in the context of Peirce’s definitions of sign and sign relation.作者: Ptosis 時(shí)間: 2025-3-30 08:40
The Metaphysics of Continuity,he . of a law cannot be exhausted by the . of facts that confirm its truth. A law, if it is truly a law, exceeds all its effects. There is, one might say, a “normative residue” that defines a law even when all the facts that instantiate it are gone.作者: commune 時(shí)間: 2025-3-30 15:52 作者: 柔聲地說(shuō) 時(shí)間: 2025-3-30 18:58
