Combining Texts

All the ideas for 'Higher-Order Logic', 'Treatise 4: The Moral Sense' and 'Perception'

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26 ideas

2. Reason / A. Nature of Reason / 1. On Reason
6253 Reason is our power of finding out true propositions [Hutcheson]
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]
11. Knowledge Aims / A. Knowledge / 6. Knowing How
7630 Ryle's dichotomy between knowing how and knowing that is too simplistic [Maund]
12. Knowledge Sources / B. Perception / 1. Perception
7632 Perception is sensation-then-concept, or direct-concepts, or sensation-saturated-in-concepts [Maund]
12. Knowledge Sources / B. Perception / 4. Sense Data / a. Sense-data theory
7635 Sense-data have an epistemological purpose (foundations) and a metaphysical purpose (explanation) [Maund]
12. Knowledge Sources / B. Perception / 6. Inference in Perception
7638 One thesis says we are not aware of qualia, but only of objects and their qualities [Maund]
7642 The Myth of the Given claims that thought is rationally supported by non-conceptual experiences [Maund]
12. Knowledge Sources / B. Perception / 8. Adverbial Theory
7640 Mountains are adverbial modifications of the earth, but still have object-characteristics [Maund]
7641 Adverbialism tries to avoid sense-data and preserve direct realism [Maund]
18. Thought / C. Content / 1. Content
7637 Thought content is either satisfaction conditions, or exercise of concepts [Maund, by PG]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / c. Ethical intuitionism
6256 Can't the moral sense make mistakes, as the other senses do? [Hutcheson]
22. Metaethics / C. The Good / 2. Happiness / a. Nature of happiness
6252 Happiness is a pleasant sensation, or continued state of such sensations [Hutcheson]
23. Ethics / D. Deontological Ethics / 1. Deontology
6257 You can't form moral rules without an end, which needs feelings and a moral sense [Hutcheson]
28. God / A. Divine Nature / 6. Divine Morality / a. Divine morality
6254 We are asked to follow God's ends because he is our benefactor, but why must we do that? [Hutcheson]
6255 Why may God not have a superior moral sense very similar to ours? [Hutcheson]