Combining Texts

All the ideas for 'Logical Consequence', 'fragments/reports' and 'Freedom of the Will and concept of a person'

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16 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]
13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / c. Knowledge closure
Sphaerus he was not assenting to the presence of pomegranates, but that it was 'reasonable' [Sphaerus, by Diog. Laertius]
16. Persons / B. Nature of the Self / 6. Self as Higher Awareness
Persons are distinguished by a capacity for second-order desires [Frankfurt]
A person essentially has second-order volitions, and not just second-order desires [Frankfurt]
16. Persons / F. Free Will / 1. Nature of Free Will
Free will is the capacity to choose what sort of will you have [Frankfurt]
20. Action / B. Preliminaries of Action / 2. Willed Action / a. Will to Act
The will is the effective desire which actually leads to an action [Frankfurt]
20. Action / B. Preliminaries of Action / 2. Willed Action / c. Agent causation
Freedom of action needs the agent to identify with their reason for acting [Frankfurt, by Wilson/Schpall]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / g. Moral responsibility
A 'wanton' is not a person, because they lack second-order volitions [Frankfurt]
A person may be morally responsible without free will [Frankfurt]