简体中文
EnglishHow to Use the Logic Matters Study Guide to Plan Your Mathematical Logic Reading
Updated
Logic Matters hosts Beginning Mathematical Logic: A Study Guide, a freely downloadable guide for planning a mathematical logic reading path, plus an appendix reviewing wider-ranging books on the subject and links to roughly forty further book notes. It suits self-directed learners who want a structured route through the material and help deciding which books to read. The site also offers free access to several logic textbooks, so you can combine the guide's recommendations with the actual texts.
What the study guide gives you
The study guide is the site's central planning document. Rather than teaching logic itself, it maps the field and points you toward books at each stage. The appendix extends this by reviewing broader books on mathematical logic, which helps when you want a wider survey rather than a single focused text.
Around forty book notes accompany the guide. These are the practical comparison layer: notes on individual books let you judge level, style, and coverage before committing to one.
Building a reading plan
A workable approach:
- Download the study guide and read its overall structure first, without picking books yet.
- Identify the subareas you need (for example, propositional logic, first-order logic, computability, set theory, or Gödel's theorems).
- For each subarea, shortlist the guide's recommendations.
- Cross-check your shortlist against the relevant book notes to compare level and approach.
- Check the appendix if you want a broader or alternative treatment.
- Pair your chosen book with the free texts below where they overlap.
Free texts you can pair with the plan
The site states that the headline "Five Big Red Logic Books" are open access, and several individual works are freely available:
| Resource | What it covers |
|---|---|
| An Introduction to Formal Logic | A corrected version of the second edition, with links to exercise answers and supplementary materials |
| An Introduction to Gödel's Theorems | A full treatment of Gödel's results |
| Gödel Without (Too Many) Tears | A much shorter treatment of the same material |
| Introducing Category Theory | Introductory/intermediate category theory, alongside lecture notes and other free books |
If your plan reaches Gödel's theorems, the two Gödel books let you choose depth: the longer introduction for a full course, the shorter one for a faster pass. Exercise answers for the formal logic text mean you can self-check as you work.
Other sections worth using
- Category theory: links to introductory and intermediate resources, including lecture notes and freely available books.
- LaTeX for logicians: resources for logicians, philosophers, and others using LaTeX — useful once you start writing up proofs or notes.
- Blog: occasional posts on logic and other topics; recent entries have covered proof theory and reading recommendations.
- Archive: older blog posts, papers, reviews, and other pieces.
Practical notes
The study guide is described as "much-downloaded," and the site presents the key texts as open access, so you can begin without a purchase decision. Start with the guide's structure, use the book notes to choose, and treat the free textbooks as the working texts for your plan.