Student logic seminar (Spring 2019)


The seminar studies this semester the following paper:

Dana Scott, A proof of the independence of the continuum hypothesis,
Mathematical Systems Theory, 1, (1967), pp.89-111.

Notes:

  • for p.96: Completeness of the Boolean algebra A/[P=0]

  • for p.98: Witnessing existential number quantifiers (Exer.2)

  • for p.105: The B-validity of the hypothesis in the CO axiom

  • for p.108 (top line): Function \chi is correctly defined

  • for p.108: From Boolean values to Cohen's forcing

  • for p.110: From a Boolean valued model to an ordinary model

    Further reading (texts on forcing for beginners):

  • for p.110: Chow' s text on constructing a model for full set theory

  • Baumartner's text (Sec.4 gives an axiomatic treatment of forcing )