Combining Texts

All the ideas for 'Logical Consequence', 'A Free Will' and 'fragments/reports'

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17 ideas

1. Philosophy / C. History of Philosophy / 2. Ancient Philosophy / e. Late classical philosophy
In the third century Stoicism died out, replaced by Platonism, with Aristotelian ethics [Frede,M]
In late antiquity nearly all philosophers were monotheists [Frede,M]
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]
16. Persons / F. Free Will / 2. Sources of Free Will
The idea of free will achieved universal acceptance because of Christianity [Frede,M]
For Christians man has free will by creation in God's image (as in Genesis) [Frede,M]
The Stoics needed free will, to allow human choices in a divinely providential cosmos [Frede,M]
20. Action / B. Preliminaries of Action / 2. Willed Action / a. Will to Act
There is no will for Plato or Aristotle, because actions come directly from perception of what is good [Frede,M]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character
Virtue comes more from habit than character [Critias]
28. God / C. Attitudes to God / 5. Atheism
Fear of the gods was invented to discourage secret sin [Critias]
29. Religion / A. Polytheistic Religion / 4. Dualist Religion
The Gnostic demiurge (creator) is deluded, and doesn't care about us [Frede,M]