User:Lord Farin/Sandbox

This page exists for me to be able to test features I am developing. Also, incomplete proofs may appear here.

Feel free to comment.

Over time, stuff may move to User:Lord_Farin/Sandbox/Archive.

Subpages of this one may exist; they are listed at this PW special page.

Predicate logic
This stuff has been nagging me for a long time now. I will start working on a new page to replace Definition:Predicate Calculus. See User:Lord_Farin/Sandbox/Definition:Language of Predicate Logic. &mdash; Lord_Farin (talk) 12:14, 25 March 2016 (UTC)

The following pages need to be attended to:

Category:Definitions/Predicate Calculus

 * $\checkmark$ Definition:Alphabetic Substitution (updated links)
 * $\checkmark$ Definition:Argument (Predicate Calculus) (deleted in favour of Definition:Term (Predicate Logic))
 * $\checkmark$ Definition:Atomic WFF of Predicate Calculus (updated links, moved to Definition:Atomic WFF of Predicate Logic)
 * $\checkmark$ Definition:BNF Specification of Predicate Calculus (not used)
 * $\checkmark$ Definition:Bound Occurrence (updated links)
 * $\checkmark$ Definition:Classes of WFFs (updated links)
 * $\checkmark$ Definition:Classes of WFFs/Plain WFF (updated links)
 * $\checkmark$ Definition:Classes of WFFs/Sentence (updated links)
 * $\checkmark$ Definition:Free Occurrence (updated links)
 * $\checkmark$ Definition:Freely Substitutable (updated links)
 * $\checkmark$ Definition:Function Symbol (updated links)
 * $\checkmark$ Definition:Instance (slight rewrite, updated links)
 * $\checkmark$ Definition:Model (Logic)/Predicate Calculus (redirected tp Definition:Model (Predicate Logic), rewrite still due but unrelated to current scope)
 * $\checkmark$ Definition:Model for Predicate Logic (updated redirect to Definition:Model (Predicate Logic))
 * Definition:Occurrence (Predicate Calculus)
 * Definition:Plain Sentence
 * Definition:Plain WFF
 * Definition:Bottom-Up Specification of Predicate Calculus
 * Source review of Halmos
 * Definition:Predicate Calculus
 * Definition:Predicate Calculus/Alphabet
 * Delete Definition:Individual Symbol (superseded by Definition:Term (Predicate Logic))
 * Delete Definition:WFF of Predicate Calculus (superseded by Definition:WFF of Predicate Logic)
 * Delete Definition:Abbreviation of WFFs of PredCalc (see delete template on page)
 * Definition:Predicate Symbol
 * Definition:Predicate WFF
 * Definition:Relation Symbol
 * $\checkmark$ Definition:Scope (Logic)/Quantifier (updated links)
 * Definition:Sentence
 * Definition:Structure for Predicate Calculus
 * $\checkmark$ Definition:Substitution for Free Occurrence (updated links)
 * $\checkmark$ Definition:Term (Predicate Logic) (rewritten, redirected to LoPL subpage)
 * Definition:Universal Closure of Well-Formed Formula
 * Definition:WFF with Parameters

Category:Definitions/Predicate Logic

 * Definition:Absolutely Existential Statement
 * Definition:Apparent Variable
 * Definition:Arbitrary Name
 * Definition:Assignment for Formula
 * Definition:Assignment for Term
 * Definition:Bound Variable
 * Definition:Bound Variable/Examples/Existential Statement
 * Definition:Bound Variable/Examples/Universal Statement
 * Definition:Condition
 * Definition:Conditionally Existential Statement
 * Definition:Designatory Function
 * Definition:Exact Existential Quantifier
 * Definition:Exactly One
 * Definition:Existential Quantifier
 * Definition:Existential Quantifier/Exact
 * Definition:Existential Quantifier/Notational Variants
 * Definition:Existential Quantifier/Unique
 * Definition:Existential Statement
 * Definition:Existential Statement/Absolute
 * Definition:Existential Statement/Conditional
 * Definition:Free Variable
 * Definition:Individual Constant
 * Definition:Individuating Description
 * Definition:Logical Term
 * Definition:Model for Predicate Logic
 * Definition:Predicate Logic
 * Definition:Predicate Symbol
 * Definition:Proper Name
 * Definition:Property
 * Definition:Propositional Expansion
 * Definition:Propositional Expansion/Existential Quantifier
 * Definition:Propositional Expansion/Universal Quantifier
 * Definition:Propositional Function
 * Definition:Propositional Function/Examples
 * Definition:Propositional Function/Satisfaction
 * Definition:Quantified Statement
 * Definition:Quantifier
 * Definition:Restricted Existential Quantifier
 * Definition:Restricted Universal Quantifier
 * Definition:Scope of Quantifier
 * Definition:Singular Statement
 * Definition:Singular Statement/Designatory Function
 * Definition:Singular Statement/Individuating Description
 * Definition:Square of Opposition
 * Definition:Term (Predicate Logic)
 * Definition:Unique
 * Definition:Universal Quantifier
 * Definition:Universal Quantifier/Notational Variants
 * Definition:Universal Statement
 * Definition:Value of Variable
 * Definition:Variable/Predicate Logic
 * Definition:Variable/Value

Category:Predicate Logic

 * Equality implies Substitution
 * Equals is Equivalence Relation
 * Existential Generalisation
 * Existential Instantiation
 * Fallacy of Generalisation
 * Socrates is Mortal
 * Universal Generalisation
 * Universal Instantiation

Category:Predicate Calculus

 * Extended Completeness Theorem
 * Initial Part of WFF of PredCalc is not WFF
 * Quantifier has Unique Scope
 * Truth Value Rules for Predicate Calculus
 * Unique Readability Theorem of Predicate Calculus

These will be reordered and processed gradually. &mdash; Lord_Farin (talk) 17:56, 22 July 2016 (UTC)