Combining Texts

All the ideas for 'Logical Consequence', 'Popular Scientific Lectures' and 'Principle Doctrines ('Kuriai Doxai') (frags)'

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20 ideas

1. Philosophy / A. Wisdom / 2. Wise People
It is a great good to show reverence for a wise man [Epicurus]
1. Philosophy / D. Nature of Philosophy / 2. Invocation to Philosophy
In the study of philosophy, pleasure and knowledge arrive simultaneously [Epicurus]
1. Philosophy / G. Scientific Philosophy / 2. Positivism
Laws of nature are just records of regularities and correlations, with concepts to make recording them easier [Mach, by Harré]
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 / A. Existence of Objects / 5. Individuation / b. Individuation by properties
Bodies are combinations of shape, size, resistance and weight [Epicurus]
16. Persons / F. Free Will / 6. Determinism / a. Determinism
If everything is by necessity, then even denials of necessity are by necessity [Epicurus]
22. Metaethics / C. The Good / 2. Happiness / c. Value of happiness
What happens to me if I obtain all my desires, and what if I fail? [Epicurus]
22. Metaethics / C. The Good / 3. Pleasure / e. Role of pleasure
Pleasure and virtue entail one another [Epicurus]
23. Ethics / B. Contract Ethics / 1. Contractarianism
Justice is merely a contract about not harming or being harmed [Epicurus]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character
We value our own character, whatever it is, and we should respect the characters of others [Epicurus]
23. Ethics / C. Virtue Theory / 3. Virtues / c. Justice
Justice is a pledge of mutual protection [Epicurus]
24. Political Theory / B. Nature of a State / 2. State Legitimacy / c. Social contract
A law is not just if it is not useful in mutual associations [Epicurus]
25. Social Practice / F. Life Issues / 4. Suicide
It is small-minded to find many good reasons for suicide [Epicurus]