Combining Texts

All the ideas for 'Logical Consequence', 'plays (frags)' and 'Daniel Dennett on himself'

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14 ideas

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]
10. Modality / C. Sources of Modality / 2. Necessity as Primitive
Even God could not undo what has been done [Agathon]
17. Mind and Body / B. Behaviourism / 3. Intentional Stance
The 'intentional stance' is a way of interpreting an entity by assuming it is rational and self-aware [Dennett]
18. Thought / A. Modes of Thought / 4. Folk Psychology
Like the 'centre of gravity', desires and beliefs are abstract concepts with no actual existence [Dennett]
18. Thought / C. Content / 9. Conceptual Role Semantics
The nature of content is entirely based on its functional role [Dennett]
25. Social Practice / E. Policies / 5. Education / b. Education principles
Learning is evolution in the brain [Dennett]
27. Natural Reality / G. Biology / 1. Biology
Biology is a type of engineering, not a search for laws of nature [Dennett]