Combining Texts

All the ideas for 'Logical Consequence', 'Axioms for the Part Relation' and 'There is immediate Justification'

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15 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]
9. Objects / C. Structure of Objects / 8. Parts of Objects / a. Parts of objects
In the military, persons are parts of parts of large units, but not parts of those large units [Rescher]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / b. Basic beliefs
An experience's having propositional content doesn't make it a belief [Pryor]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / e. Pro-foundations
The best argument for immediate justification is not the Regress Argument, but considering examples [Pryor]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / a. Coherence as justification
Impure coherentists accept that perceptions can justify, unlike pure coherentists [Pryor]
Coherentism rests on the claim that justifications must be beliefs, with propositional content [Pryor]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / b. Pro-coherentism
Reasons for beliefs can be cited to others, unlike a raw headache experience [Pryor]
13. Knowledge Criteria / C. External Justification / 5. Controlling Beliefs
Beliefs are not chosen, but you can seek ways to influence your belief [Pryor]