Combining Texts

All the ideas for 'works (fragments)', 'The Really Hard Problem' and 'Higher-Order Logic'

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20 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
10301 The axiom of choice is controversial, but it could be replaced [Shapiro]
5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic
10588 First-order logic is Complete, and Compact, with the Löwenheim-Skolem Theorems [Shapiro]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
10298 Some say that second-order logic is mathematics, not logic [Shapiro]
10299 If the aim of logic is to codify inferences, second-order logic is useless [Shapiro]
5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence
10300 Logical consequence can be defined in terms of the logical terminology [Shapiro]
5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
10290 Second-order variables also range over properties, sets, relations or functions [Shapiro]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
10590 Up Löwenheim-Skolem: if natural numbers satisfy wffs, then an infinite domain satisfies them [Shapiro]
10296 The Löwenheim-Skolem Theorems fail for second-order languages with standard semantics [Shapiro]
10297 The Löwenheim-Skolem theorem seems to be a defect of first-order logic [Shapiro]
10292 Downward Löwenheim-Skolem: if there's an infinite model, there is a countable model [Shapiro]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / e. Peano arithmetic 2nd-order
10294 Second-order logic has the expressive power for mathematics, but an unworkable model theory [Shapiro]
8. Modes of Existence / B. Properties / 11. Properties as Sets
10591 Logicians use 'property' and 'set' interchangeably, with little hanging on it [Shapiro]
15. Nature of Minds / B. Features of Minds / 2. Unconscious Mind
21833 Research suggest that we overrate conscious experience [Flanagan]
17. Mind and Body / E. Mind as Physical / 2. Reduction of Mind
21834 Sensations may be identical to brain events, but complex mental events don't seem to be [Flanagan]
22. Metaethics / B. Value / 1. Nature of Value / b. Fact and value
21837 Morality is normative because it identifies best practices among the normal practices [Flanagan]
22. Metaethics / B. Value / 2. Values / f. Altruism
21830 For Darwinians, altruism is either contracts or genetics [Flanagan]
22. Metaethics / C. The Good / 2. Happiness / b. Eudaimonia
21835 We need Eudaimonics - the empirical study of how we should flourish [Flanagan]
5996 Critolaus redefined Aristotle's moral aim as fulfilment instead of happiness [Critolaus, by White,SA]
24. Political Theory / D. Ideologies / 9. Communism
21831 Alienation is not finding what one wants, or being unable to achieve it [Flanagan]
29. Religion / C. Spiritual Disciplines / 3. Buddhism
21832 Buddhists reject God and the self, and accept suffering as key, and liberation through wisdom [Flanagan]