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AxiomForge

Build arithmetic from nothing. Start with zero, "the next number" and two rules for adding. Prove 2 + 2 = 4, then that adding in either order gives the same answer, then multiplication. Every move is a legal rewrite or it is refused. Twenty levels in three worlds, with a tiny checker that cannot be bluffed.

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Built for sittings of about 25 minutes on the screen. That is our design budget, not a measurement.

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Live In planning Swift 6 · SwiftUI · FoundationModels Construct viable arguments and use definitions (MP3); understand proof by induction (HSA, college-preparatory discrete mathematics) Hero color: #3d3a8a
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What's inside

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Learning goal

Build arithmetic from nothing. Start with zero, "the next number" and two rules for adding. Prove 2 + 2 = 4, then that adding in either order gives the same answer, then multiplication. Every move is a legal rewrite or it is refused. Twenty levels in three worlds, with a tiny checker that cannot be bluffed.

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Question kits

16 curriculum-aligned kits × 25 questions = 400 questions per app, mapped to recognized standards.

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On-device AI mentor

FoundationModels-powered hints, feedback, and adaptive difficulty — all running locally.

How AxiomForge handles your kid's data

  • ✅ All progress, settings, and AI-generated content stays on the device
  • ✅ No analytics, no tracking, no third-party SDKs
  • ✅ No ads, no in-app purchases — you pay once
  • ✅ No personal information collected from children — in line with COPPA (updated by the 2026 FTC amendments)
  • ✅ Parental controls + session limits + content filters built in

Full parent privacy guide →

Built with ForgeKit

AxiomForge runs on ForgeKit — the open-source Swift Package Manager framework that powers every Spark & Anvil app. ForgeKit ensures consistent accessibility, COPPA compliance, and design language across the portfolio, so your kid's progress and preferences feel coherent across every app they touch.

Coming to the App Store

AxiomForge is in active development. Email us to hear when it ships — no marketing, no spam, just a one-shot launch announcement.

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