trace-mineral 发表于 2025-3-21 18:20:05

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arthrodesis 发表于 2025-3-21 23:52:37

Logical Seeinger, logic will help us to see structures; now, simple structures will help us to see logic. A concept of symmetry of a graph is introduced in Definition 2.1 followed by Theorem 2.1, which is crucial for many further developments. Both, the definition and the theorem, will be generalized later to arbitrary mathematical structures.

规范要多 发表于 2025-3-22 01:02:31

Points, Lines, and the Structure of ow seemingly innocuous assumptions about actually infinite sets lead to consequences that are not easy to accept. Then, we will go back to our discussion of a formal approach that will help to make some sense out of it.

headlong 发表于 2025-3-22 05:30:55

Geometry of Definable Setsorrespond in a natural way to Boolean connectives and quantifiers, and how the name “geometry” is justified when it is applied to sets definable in the field of real numbers. The last two sections are devoted to a discussion of the negative solution to Hilbert’s 10th problem.

改良 发表于 2025-3-22 08:46:42

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勋章 发表于 2025-3-22 14:21:32

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GLARE 发表于 2025-3-22 18:00:02

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chisel 发表于 2025-3-22 21:54:53

Seeing the Number Structureserms of first-order logic. The reconstruction is technical and rather tedious, but it serves as a good example of how some mathematical structures can bee seen inside other structures with the eyes of logic. This chapter can be skipped on the first reading, but it should not be forgotten.

Pelvic-Floor 发表于 2025-3-23 04:34:55

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体贴 发表于 2025-3-23 07:18:02

Roman KossakNew edition includes countable categoricity, analyzed using examples from the first two parts of the book.Presents an introduction to formal mathematical logic and set theory.Presents simple yet nontr
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查看完整版本: Titlebook: Mathematical Logic; On Numbers, Sets, St Roman Kossak Textbook 2024Latest edition The Editor(s) (if applicable) and The Author(s), under ex