Difference between revisions of "MAT5443"

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(Created page with "== Catalog entry == ''Prerequisites'': MAT 1214 and MAT 3013. ''Content'': Axiomatizations of propositional logic, axiomatizations of first-order logic, completeness and co...")
 
 
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== Catalog entry ==
 
== Catalog entry ==
  
''Prerequisites'': MAT 1214 and MAT 3013.
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'''Catalog description'''
  
''Content'': Axiomatizations of propositional logic, axiomatizations of first-order logic, completeness and compactness, structures, compactness and the Henkin method of constructing models by constants, ultraproducts, real-valued logic and applications.
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''Prerequisites'': Discrete Mathematics [[MAT3003]] or instructor consent
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''Content'': Abstract measure and integration, Hilbert spaces and their geometry, logic of non-classical physics, logics and states, linear functionals and the Riesz representation theorem, operator algebras, Hermitian operators, the projection logic, Gleason's theorem, spectrality.

Latest revision as of 20:16, 9 February 2025

Catalog entry

Catalog description

Prerequisites: Discrete Mathematics MAT3003 or instructor consent

Content: Abstract measure and integration, Hilbert spaces and their geometry, logic of non-classical physics, logics and states, linear functionals and the Riesz representation theorem, operator algebras, Hermitian operators, the projection logic, Gleason's theorem, spectrality.