不如乐死去 发表于 2025-3-23 10:57:14

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阻碍 发表于 2025-3-23 17:10:12

Computers in the Human Interaction Loopucial relationship to propositional logic, Boolean algebras enter the proofs of the completeness of first-order logic, or the independence of the axiom of choice and the continuum hypothesis in set theory (p.187).

Aerophagia 发表于 2025-3-23 18:25:43

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山羊 发表于 2025-3-24 00:59:58

Zur Einordnung der Untersuchung, attributes of being discrete or complete/connected mirror the concrete ideas of counting and measurement, and in ancient times might have prodded the need for the conceptual development of the notion of number.

Permanent 发表于 2025-3-24 04:15:54

Computerspiele und lebenslanges Lernenof what we would call imaginary numbers, although he didn’t understand their properties. The basic working rules of ± . were described for the first time by his contemporary Bombelli, who in 1572 solved equations with the del Ferro/Tartaglia method (cf. Remark .).

Innocence 发表于 2025-3-24 06:36:04

https://doi.org/10.1007/978-3-030-87174-1algebra; geometry; topology; logic; set theory; functions; real numbers; polynomials; complex numbers; vector

利用 发表于 2025-3-24 14:24:38

Joanna Stempczyńska,Edward KąckiThis first chapter is an incomplete summary of classical intuitive logic. The importance of tackling this at the very beginning—of a book and of a curriculum—cannot go amiss. A satisfactory treatment deserves a specific course, that clearly cannot be taught in the first semesters, nor in one semester only.

动机 发表于 2025-3-24 16:59:13

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FIN 发表于 2025-3-24 22:41:13

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Maximizer 发表于 2025-3-24 23:23:36

David Hawkridge,John Jaworski,Harry McMahonThis chapter develops set-theory topics that are useful in algebra and topology. It will give us the excuse to provide proofs to the Deduction and Soundness Theorems ., ., and introduce the first elements in model theory. The final part attempts to contextualise the scientific revolution unleashed by Gödel’s theorems.
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