Combining Texts
Ideas for
'Unconscious Cerebral Initiative', 'Introduction to Mathematical Logic' and 'Philosophical Logic: Intro to Advanced Topics'
expand these ideas
|
start again
|
choose
another area for these texts
display all the ideas for this combination of texts
9 ideas
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 / A. Overview of Logic / 4. Pure Logic
13850
|
In modern logic all formal validity can be characterised syntactically [Engelbretsen/Sayward]
|
5. Theory of Logic / A. Overview of Logic / 6. Classical Logic
13849
|
Classical logic rests on truth and models, where constructivist logic rests on defence and refutation [Engelbretsen/Sayward]
|
5. Theory of Logic / D. Assumptions for Logic / 4. Identity in Logic
13851
|
Unlike most other signs, = cannot be eliminated [Engelbretsen/Sayward]
|
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]
|
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
13852
|
Axioms are ω-incomplete if the instances are all derivable, but the universal quantification isn't [Engelbretsen/Sayward]
|