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Titlebook: Diagrams, Visual Imagination, and Continuity in Peirce‘s Philosophy of Mathematics; Vitaly Kiryushchenko Book 2023 Springer Nature Switzer

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樓主: ossicles
11#
發(fā)表于 2025-3-23 11:25:35 | 只看該作者
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
12#
發(fā)表于 2025-3-23 14:48:54 | 只看該作者
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
13#
發(fā)表于 2025-3-23 18:29:10 | 只看該作者
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
14#
發(fā)表于 2025-3-24 01:08:20 | 只看該作者
15#
發(fā)表于 2025-3-24 04:15:51 | 只看該作者
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
16#
發(fā)表于 2025-3-24 10:21:17 | 只看該作者
,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
17#
發(fā)表于 2025-3-24 12:25:22 | 只看該作者
18#
發(fā)表于 2025-3-24 18:46:36 | 只看該作者
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
19#
發(fā)表于 2025-3-24 20:39:12 | 只看該作者
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
20#
發(fā)表于 2025-3-25 02:42:21 | 只看該作者
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
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