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Ideas of Feferman / Feferman, by Text
[American, fl. 2004, He a professor at Stanford, she an independent scholar]
2004

Alfred Tarski: life and logic

Ch.9

p.228

10156

'Recursion theory' concerns what can be solved by computing machines

Int I

p.43

10146

Cantor's theories needed the Axiom of Choice, but it has led to great controversy

Int I

p.44

10147

The Axiom of Choice is consistent with the other axioms of set theory

Int I

p.46

10148

Axiom of Choice: a set exists which chooses just one element each of any set of sets

Int I

p.47

10149

Platonist will accept the Axiom of Choice, but others want criteria of selection or definition

Int I

p.48

10150

The Trichotomy Principle is equivalent to the Axiom of Choice

Int IV

p.193

10155

Both Principia Mathematica and Peano Arithmetic are undecidable

Int V

p.280

10158

A structure is a 'model' when the axioms are true. So which of the structures are models?

Int V

p.281

10159

LöwenheimSkolem Theorem, and Gödel's completeness of firstorder logic, the earliest model theory

Int V

p.281

10161

If a sentence holds in every model of a theory, then it is logically derivable from the theory

Int V

p.281

10160

LöwenheimSkolem says if the sentences are countable, so is the model

Int V

p.282

10162

Tarski and Vaught established the equivalence relations between firstorder structures
