Combining Texts

All the ideas for 'A Combinatorial Theory of Possibility', 'Philosophical Logic: Intro to Advanced Topics' and 'A Critique of Utilitarianism'

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15 ideas

3. Truth / B. Truthmakers / 6. Making Negative Truths
Negative existentials have 'totality facts' as truthmakers [Armstrong, by Lewis]
4. Formal Logic / A. Syllogistic Logic / 1. Aristotelian Logic
The four 'perfect syllogisms' are called Barbara, Celarent, Darii and Ferio [Engelbretsen/Sayward]
Syllogistic logic has one rule: what is affirmed/denied of wholes is affirmed/denied of their parts [Engelbretsen/Sayward]
4. Formal Logic / A. Syllogistic Logic / 2. Syllogistic Logic
Syllogistic can't handle sentences with singular terms, or relational terms, or compound sentences [Engelbretsen/Sayward]
4. Formal Logic / A. Syllogistic Logic / 3. Term Logic
Term logic uses expression letters and brackets, and '-' for negative terms, and '+' for compound terms [Engelbretsen/Sayward]
5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
In modern logic all formal validity can be characterised syntactically [Engelbretsen/Sayward]
5. Theory of Logic / A. Overview of Logic / 6. Classical Logic
Classical logic rests on truth and models, where constructivist logic rests on defence and refutation [Engelbretsen/Sayward]
5. Theory of Logic / D. Assumptions for Logic / 4. Identity in Logic
Unlike most other signs, = cannot be eliminated [Engelbretsen/Sayward]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
Axioms are ω-incomplete if the instances are all derivable, but the universal quantification isn't [Engelbretsen/Sayward]
10. Modality / B. Possibility / 1. Possibility
All possibilities are recombinations of properties in the actual world [Armstrong, by Lewis]
22. Metaethics / B. Value / 1. Nature of Value / f. Ultimate value
Maybe the unthinkable is a moral category, and considering some options is dishonourable or absurd [Williams,B]
22. Metaethics / C. The Good / 1. Goodness / g. Consequentialism
Consequentialism assumes that situations can be compared [Williams,B]
For a consequentialist massacring 7 million must be better than massacring 7 million and one [Williams,B]
23. Ethics / D. Deontological Ethics / 3. Universalisability
We don't have a duty to ensure that others do their duty [Williams,B]
23. Ethics / E. Utilitarianism / 1. Utilitarianism
Utilitarianism cannot make any serious sense of integrity [Williams,B]