\textbf{Hilbert~II} \\
\vspace*{1cm}
Presentation of \\
Formal Correct \\
Mathematical Knowledge \\
\vspace*{1cm} Logical Language
The project \textbf{Hilbert~II} includes formal correct mathematical knowledge. Here we introduce the underlying formal language for the mathematical formulas. This is done in an informal way.
Michael Meyling
Description
Entities
Elements, Atoms and Lists
Logical Language
Logical Operator Overview
Terms and Formulas
General Error Codes
Subject Variable
Function Term
Predicate Formula
Logical Connectives
Negation
Quantifiers
Class Term
Term
Formula
Representations
XML
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Due to XSD restrictions for the XML document some error codes listed in Chapter~\ref{chapter2} will not occur. Instead the XML will be classified as invalid.
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Document structure
Basic Rules of Inference\index{0.01.00}
Rename bound subject variable
Substitute free subject variable by term.
Substitute predicate variable by formula
Substitute function variable by term
Existential Generalization
Derived Rules\index{0.02.00}