Combining Texts

All the ideas for 'Deflationary Metaontology of Thomasson', 'Alfred Tarski: life and logic' and 'Hermeneutics: a very short introduction'

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20 ideas

2. Reason / A. Nature of Reason / 5. Objectivity
We take part in objective truth, rather than observe it from a distance [Zimmermann,J]
Hermeneutic knowledge is not objective, but embraces interpretations [Zimmermann,J]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
The Axiom of Choice is consistent with the other axioms of set theory [Feferman/Feferman]
Axiom of Choice: a set exists which chooses just one element each of any set of sets [Feferman/Feferman]
Platonist will accept the Axiom of Choice, but others want criteria of selection or definition [Feferman/Feferman]
The Trichotomy Principle is equivalent to the Axiom of Choice [Feferman/Feferman]
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
A structure is a 'model' when the axioms are true. So which of the structures are models? [Feferman/Feferman]
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
Löwenheim-Skolem Theorem, and Gödel's completeness of first-order logic, the earliest model theory [Feferman/Feferman]
Löwenheim-Skolem says if the sentences are countable, so is the model [Feferman/Feferman]
5. Theory of Logic / K. Features of Logics / 4. Completeness
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
'Recursion theory' concerns what can be solved by computing machines [Feferman/Feferman]
Both Principia Mathematica and Peano Arithmetic are undecidable [Feferman/Feferman]
9. Objects / A. Existence of Objects / 5. Individuation / e. Individuation by kind
No sortal could ever exactly pin down which set of particles count as this 'cup' [Schaffer,J]
9. Objects / F. Identity among Objects / 6. Identity between Objects
Identities can be true despite indeterminate reference, if true under all interpretations [Schaffer,J]
12. Knowledge Sources / B. Perception / 1. Perception
In phenomenology, all perception is 'seeing as' [Zimmermann,J]
21. Aesthetics / B. Nature of Art / 8. The Arts / b. Literature
The hermeneutic circle is between the reader's self-understanding, and the world of the text [Zimmermann,J]
25. Social Practice / D. Justice / 2. The Law / c. Natural law
Natural law theorists fear that without morality, law could be based on efficiency [Zimmermann,J]
29. Religion / B. Monotheistic Religion / 2. Judaism
Traditionally, God dictated the Torah to Moses, unlike the later biblical writings [Zimmermann,J]