Combining Texts

All the ideas for 'Locke on Human Understanding', 'Alfred Tarski: life and logic' and 'works'

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21 ideas

2. Reason / B. Laws of Thought / 2. Sufficient Reason
18241 Sufficient reason is implied by contradiction, of an insufficient possible which exists [Wolff, by Korsgaard]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
10147 The Axiom of Choice is consistent with the other axioms of set theory [Feferman/Feferman]
10148 Axiom of Choice: a set exists which chooses just one element each of any set of sets [Feferman/Feferman]
10149 Platonist will accept the Axiom of Choice, but others want criteria of selection or definition [Feferman/Feferman]
10150 The Trichotomy Principle is equivalent to the Axiom of Choice [Feferman/Feferman]
10146 Cantor's theories needed the Axiom of Choice, but it has led to great controversy [Feferman/Feferman]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
10158 A structure is a 'model' when the axioms are true. So which of the structures are models? [Feferman/Feferman]
10162 Tarski and Vaught established the equivalence relations between first-order structures [Feferman/Feferman]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
10159 Löwenheim-Skolem Theorem, and Gödel's completeness of first-order logic, the earliest model theory [Feferman/Feferman]
10160 Löwenheim-Skolem says if the sentences are countable, so is the model [Feferman/Feferman]
5. Theory of Logic / K. Features of Logics / 4. Completeness
10161 If a sentence holds in every model of a theory, then it is logically derivable from the theory [Feferman/Feferman]
5. Theory of Logic / K. Features of Logics / 7. Decidability
10156 'Recursion theory' concerns what can be solved by computing machines [Feferman/Feferman]
10155 Both Principia Mathematica and Peano Arithmetic are undecidable [Feferman/Feferman]
8. Modes of Existence / E. Nominalism / 2. Resemblance Nominalism
7720 Two things can only resemble one another in some respect, and that may reintroduce a universal [Lowe]
9. Objects / B. Unity of Objects / 2. Substance / d. Substance defined
7712 On substances, Leibniz emphasises unity, Spinoza independence, Locke relations to qualities [Lowe]
12. Knowledge Sources / B. Perception / 6. Inference in Perception
7710 Perception is a mode of belief-acquisition, and does not involve sensation [Lowe]
12. Knowledge Sources / B. Perception / 7. Causal Perception
7711 Science requires a causal theory - perception of an object must be an experience caused by the object [Lowe]
16. Persons / D. Continuity of the Self / 1. Identity and the Self
7714 Personal identity is a problem across time (diachronic) and at an instant (synchronic) [Lowe]
18. Thought / B. Mechanics of Thought / 4. Language of Thought
7715 Mentalese isn't a language, because it isn't conventional, or a means of public communication [Lowe]
19. Language / A. Nature of Meaning / 2. Meaning as Mental
7722 If meaning is mental pictures, explain "the cat (or dog!) is NOT on the mat" [Lowe]
28. God / A. Divine Nature / 6. Divine Morality / b. Euthyphro question
18242 Confucius shows that ethics can rest on reason, rather than on revelation [Wolff, by Korsgaard]