Hilbert II is a pioneering open-source mathematical software project designed to create a decentralized, verified, and human-readable digital knowledge base of mathematics. Taking its name and philosophy from David Hilbert’s famous 20th-century formalist program, the project centers around an ecosystem called QEDEQ (derived from Q.E.D., or “quod erat demonstrandum,” combined with eq for equation).
The primary goal of Hilbert II is to bridge the gap between machine-strict formal logic and the comfortable presentation of standard mathematical text. Core Philosophy: The Modern Hilbert Program
In the early 1900s, David Hilbert proposed that all of mathematics should be reduced to a completely secure, contradiction-free formal system of rules and symbols. Hilbert II takes this vision into the digital age. It treats mathematical theorems not just as blocks of static text, but as dynamic data that a computer can mechanically read, track, and guarantee as 100% correct. Key Features of Hilbert II & QEDEQ
The suite functions simultaneously as a mathematical textbook generator and a rigorous logic validator through several distinct features:
Dual-Nature Formats: Unlike traditional code-heavy proof assistants, Hilbert II stores mathematical data in structural formats (like XML) that can automatically compile into a highly readable, LaTeX-style textbook format.
Decentralized Verification: The system is built for the internet age. It allows mathematicians to link to definitions and mathematical proofs hosted across different global servers. The built-in proof verifier can crawl these nodes to check that a new theorem is logically sound based on remote premises.
Strict Proof Checker: Every mathematical definition, axiom, and proof step is scrutinized by a Java-based computer backend. If a step in a proof skips a necessary logical deduction, the software flags it as an error.
Foundational Focus: The project kicked off its knowledge base from the absolute bedrock of mathematics: mathematical logic and axiomatic set theory. How It Revolutionizes “Digital Mathematics” Hilbert II – QEDEQ download | SourceForge.net
Leave a Reply