Combining Texts

All the ideas for 'Logical Consequence', 'De arcanus motus' and 'Introduction to German Philosophy'

expand these ideas     |    start again     |     specify just one area for these texts


14 ideas

2. Reason / A. Nature of Reason / 1. On Reason
Art can make reason more all-inclusive, by articulating what seemed inexpressible [Bowie]
4. Formal Logic / A. Syllogistic Logic / 2. Syllogistic Logic
'Equivocation' is when terms do not mean the same thing in premises and conclusion [Beall/Restall]
5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
Formal logic is invariant under permutations, or devoid of content, or gives the norms for thought [Beall/Restall]
5. Theory of Logic / B. Logical Consequence / 2. Types of Consequence
Logical consequence needs either proofs, or absence of counterexamples [Beall/Restall]
5. Theory of Logic / B. Logical Consequence / 4. Semantic Consequence |=
Logical consequence is either necessary truth preservation, or preservation based on interpretation [Beall/Restall]
5. Theory of Logic / B. Logical Consequence / 8. Material Implication
A step is a 'material consequence' if we need contents as well as form [Beall/Restall]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
A 'logical truth' (or 'tautology', or 'theorem') follows from empty premises [Beall/Restall]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
Models are mathematical structures which interpret the non-logical primitives [Beall/Restall]
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
Hilbert proofs have simple rules and complex axioms, and natural deduction is the opposite [Beall/Restall]
8. Modes of Existence / C. Powers and Dispositions / 1. Powers
Because of the definitions of cause, effect and power, cause and effect have the same power [Leibniz]
10. Modality / A. Necessity / 2. Nature of Necessity
Every necessary proposition is demonstrable to someone who understands [Leibniz]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / d. Absolute idealism
German Idealism says our thinking and nature have the same rational structure [Bowie]
16. Persons / E. Rejecting the Self / 2. Self as Social Construct
Nazis think race predetermines the self [Bowie]
19. Language / F. Communication / 1. Rhetoric
Rhetoric is built into language, so it cannot be stripped from philosophy [Bowie]