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Ideas for 'fragments/reports', 'Introduction to Mathematical Logic' and 'Introduction to the Philosophy of Mind'

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5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic

17741

To determine the patterns in logic, one must identify its 'building blocks' [Walicki]

5. Theory of Logic / B. Logical Consequence / 5. Modus Ponens

8078	Modus ponens is one of five inference rules identified by the Stoics [Chrysippus, by Devlin]

5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle

6023	Every proposition is either true or false [Chrysippus, by Cicero]

5. Theory of Logic / I. Semantics of Logic / 1. Semantics of Logic

6653	Syntactical methods of proof need only structure, where semantic methods (truth-tables) need truth [Lowe]

5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models

17747

A 'model' of a theory specifies interpreting a language in a domain to make all theorems true [Walicki]

5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems

17748

The L-S Theorem says no theory (even of reals) says more than a natural number theory [Walicki]

5. Theory of Logic / K. Features of Logics / 1. Axiomatisation

17761

A compact axiomatisation makes it possible to understand a field as a whole [Walicki]

17763

Axiomatic systems are purely syntactic, and do not presuppose any interpretation [Walicki]