Denver,
CO,
United States
Type
Private
Degrees offered
Bachelor's Degree
PhD in Mathematics - Foundations of Mathematics in Denver United States | University of Denver
University of Denver
|
Denver United States
Visit institution website
for more information
Qualification
Doctor of Philosophy
Languages
English
Delivery Mode
On-Campus
Tuition (2025)
USD
51,090
Attendance
Full-time
Full-time Duration
36 months
Mathematics relies on a structured framework involving logical principles and set theory axioms. Research into mathematical foundations examines this framework and explores potential alternatives. Algebraic logic provides algebraic representations of models suitable for analyzing different logical systems, with the relationship between propositional calculus and Boolean algebras serving as a classic illustration.
Our focus lies on residuated lattices (encompassing Boolean algebras, Heyting algebras, and MV-algebras, among others) and their associated logical systems. Additionally, we investigate decidability and proof characteristics within substructural logics—those that omit certain conventional structural rules.
Destination of Study
Subjects of Study
Language Requirements
English
IELTS 6.5
Qualification Requirements
Bachelors degree All graduate applicants must hold an earned baccalaureate from a regionally accredited college or university or the recognized equivalent from an international institution
Grade point average The minimum undergraduate GPA for admission consideration for graduate study at the University of Denver is a cumulative 2.5 on a 4.0 scale or a 2.5 on a 4.0 scale for the last 60 semester credits or 90 quarter credits approximately two years of work for the baccalaureate degree An earned masters degree or higher from a regionally accredited institution supersedes the minimum standards for the baccalaureate For applicants with graduate coursework but who have not earned a masters degree or higher the GPA from the graduate work may be used to meet the requirement The minimum GPA is a cumulative 3.0 on a 4.0 scale for all graduate coursework undertaken
Program GPA requirement The minimum undergraduate GPA for admission consideration for this program is a cumulative 2.5 on a 4.0 scale
Minimum TOEFL Score Internetbased test 80
Minimum IELTS Score 6.5
Minimum C1 Advanced Score 176
Grade point average The minimum undergraduate GPA for admission consideration for graduate study at the University of Denver is a cumulative 2.5 on a 4.0 scale or a 2.5 on a 4.0 scale for the last 60 semester credits or 90 quarter credits approximately two years of work for the baccalaureate degree An earned masters degree or higher from a regionally accredited institution supersedes the minimum standards for the baccalaureate For applicants with graduate coursework but who have not earned a masters degree or higher the GPA from the graduate work may be used to meet the requirement The minimum GPA is a cumulative 3.0 on a 4.0 scale for all graduate coursework undertaken
Program GPA requirement The minimum undergraduate GPA for admission consideration for this program is a cumulative 2.5 on a 4.0 scale
Minimum TOEFL Score Internetbased test 80
Minimum IELTS Score 6.5
Minimum C1 Advanced Score 176
Tuition
USD
51,090