Getting it into your agent
One page per mod, every tool's command on it. A separate URL per tool would split the same page into five that compete with each other.
npx skills add hamzabellouch/agent-skills --skill mathematical-logicgit clone --depth 1 https://github.com/hamzabellouch/agent-skillsWrote this? Show the measurements
A badge with what this costs and how it scanned, read live from this page, so it follows the numbers instead of freezing them. Markdown for a README, HTML for a documentation site or a project page.
[](https://agentmods.dev/skills/hamzabellouch/agent-skills/mathematical-logic)<a href="https://agentmods.dev/skills/hamzabellouch/agent-skills/mathematical-logic"><img src="https://agentmods.dev/badge/skills/hamzabellouch/agent-skills/mathematical-logic/github.svg" alt="Measured on agentmods" height="20"></a>Or the 80×15 button, for a site that already has a row of RSS and ATOM ones. Only the verdict fits; the numbers stay here.
<a href="https://agentmods.dev/skills/hamzabellouch/agent-skills/mathematical-logic"><img src="https://agentmods.dev/badge/skills/hamzabellouch/agent-skills/mathematical-logic.svg" alt="Reviewed on agentmods" width="80" height="20"></a>What it costs to keep this loaded
Counted locally with the o200k_base tokenizer, which is exact for GPT models; Claude uses its own tokenizer and its counts differ. Treat this as one consistent yardstick across the catalogue rather than a bill. Prices are per million input tokens.
| Model | Per session | Once invoked |
|---|---|---|
| Fable 5.1 | $0.00027 | $0.00239 |
| Opus 5.5 | $0.00011 | $0.00096 |
| Sonnet 5.5 | $0.00005 | $0.00048 |
| Haiku 4.5 | $0.00003 | $0.00024 |
Grade A, and why
mathematical-logic scanned grade A with 0 findings against 26 rules in 11 categories — prompt injection, anti-refusal, data exfiltration, privilege escalation, supply chain, agent snooping, system-prompt leakage, SSRF and excessive agency — measured 7d ago.
A static scan of the body, not an audit. Every finding is printed with the line that produced it so you can judge whether it matters here. A mod is markdown that instructs an agent; that is exactly why what it instructs is worth reading.
Nothing flagged
None of the 26 patterns this scan looks for appear in this file: no shell pipes, no recursive deletes, no credential paths, no hidden text, no instruction-override or anti-refusal phrasing, no agent-config snooping. That is not a guarantee, it is the absence of the things that are checkable.
What it actually says
Mathematical Logic
Domain
Formal reasoning and proof.
Core Concepts
- Propositional and predicate logic
- Quantifiers, free/bound variables
- Proof systems: natural deduction, sequent calculus
- Soundness, completeness
- Gödel's incompleteness theorems
Key Methods
- Truth tables
- Resolution
- Model theory, proof theory
- Compactness theorem
Canonical Examples
- ¬(P ∧ Q) ≡ ¬P ∨ ¬Q (De Morgan).
- ∀x P(x) → ¬∃x ¬P(x).
- Gödel: any consistent formal system containing arithmetic is incomplete.
Common Pitfalls
- Confusing syntax with semantics
- Misusing quantifier order: ∀∃ ≠ ∃∀
- Ignoring scope of negation
Related Skills
Set Theory, Discrete Math, Category Theory
What ships with it
1 file beside SKILL.md in the same directory: the scripts, references and assets a skill reads on demand. Not counted in the per-session cost; read them before you install if any of them is executable.
What this file has done since we first saw it
Hashed on every crawl. A supply-chain change to an agent config is a question of when, not whether, so the history is kept rather than the latest state alone.
- 7d ago First seen · 38 lines · 27 tokens per session scan A 32e42d689b5f
mathematical-logic is a skill published in the GitHub repository hamzabellouch/agent-skills (8 stars, last pushed today), licensed MIT. It adds 27 tokens to every session and 239 once invoked, about $0.0001 per session on Opus 5.5. A static security scan graded it A with 0 findings. No closer match exists in the catalogue, so it is treated as the original; first seen 2026-10-10.
Other skills, from other repositories
agricultural-sciences-professor
Use when a task needs the judgment of a tenure-track or tenured Agricultural Sciences faculty member at a land-grant university — deciding whether to submit a grant this cycle versus wait, allocating time across the teaching/research/extension appointment split, diagnosing a stalled graduate student or field trial, or…
biology-professor
Use when a task needs the judgment of a Biology Professor at a research university — writing or defending an NIH/NSF grant budget, deciding authorship order on a paper, navigating an IACUC or biosafety protocol, mentoring a PhD student through a stalled project, or converting a course when active-learning data doesn't…
chemistry-teacher-postsecondary
Use when a task needs the judgment of a Postsecondary Chemistry Teacher — grading a lab report where the numeric result misses the "expected" value but the methodology is sound, distinguishing a conceptual misunderstanding from an arithmetic slip on a problem set, deciding how much procedural freedom to give students…
thesis-control
Use when AI-assisted thesis or manuscript edits risk claim drift, scope creep, loss of intended use, experiment-role promotion, or repeated revisions that fail to converge; provides author-intent control, lightweight or strict contracts, drift audits, revision escalation, and human gates.
manuscript-reframe
Reframe report-like academic drafts into paper-form scientific arguments while preserving or explicitly renegotiating author intent; requires an approved old-versus-proposed spine, evidence and argument baselines, analysis-role control, and post-edit drift review.
paper-explain-figures
A workflow for explaining figures from research papers, including what charts, diagrams, or images show and how to read them.