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  "title": "Mathematical Foundations · Versions",
  "description": "Mathematical foundations cover the logic and formal systems a software engineer uses for precise reasoning, rather than everyday arithmetic.",
  "url": "/en/concepts/mathematical-foundations/versions.html",
  "entity": {
    "id": "concept_mathematical_foundations",
    "type": "concept",
    "title": "Mathematical Foundations",
    "slug": "mathematical-foundations",
    "aliases": [
      "数学基础"
    ],
    "summary": "Mathematical foundations cover the logic and formal systems a software engineer uses for precise reasoning, rather than everyday arithmetic.",
    "status": "published",
    "categories": [
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    ],
    "tags": [],
    "sources": [
      {
        "id": "s1",
        "title": "Guide to the Software Engineering Body of Knowledge (SWEBOK Guide) v4.0a",
        "author": "Hironori Washizaki (ed.), IEEE Computer Society",
        "date": "2026-08",
        "url": "https://ieeecs-media.computer.org/media/education/swebok/swebok-v4.pdf",
        "locator": "Chapter 17"
      }
    ],
    "createdAt": "2026-11-02T01:19:55+08:00",
    "updatedAt": "2026-11-02T01:19:55+08:00",
    "updatedBy": "user:admin",
    "revision": 2,
    "body": "The Guide states that a software engineer can write code only for something that follows well-understood, unambiguous logic. This knowledge area helps the engineer comprehend that logic and then translate it into source code. The mathematics here is the study of formal systems: rules of reasoning are set for the system under study, and what follows from those rules is certain within that system. It is one of the three foundation knowledge areas.[^s1]\n\n\nThe Guide's top-level topics for this knowledge area are:\n\n- Basic Logic\n- Proof Techniques\n- Set, Relation, Function\n- Graph and Tree\n- Finite-State Machine\n- Grammar\n- Number Theory\n- Basics of Counting\n- Discrete Probability\n- Numerical Precision, Accuracy, and Error\n- Algebraic Structures\n- Engineering Calculus\n- New Advancements",
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    "scopeNote": "One knowledge area of SWEBOK Guide v4.0a."
  },
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      "revision": 2,
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      "message": "当前版本",
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      "url": "/en/concepts/mathematical-foundations/at/2.html"
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      "value": "数学基础"
    },
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      "value": "One knowledge area of SWEBOK Guide v4.0a."
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