Course Master:
Term:
Fall 2021
Discipline:
MA (Mathematics)
Credits:
4 credits
Type:
CCIM
Level:
Undergraduate
Can be taken twice for credit?:
No
Exam Date:
Tuesday, December 21, 2021 - 16:00
Pre-requisites:
None
Co-requisites:
None
Professor(s)
Notes
In mathematics, different sets of rules give rise to different mathematical architectures. But do these mathematical structures have any limits? What happens when we push the underlying rules to the extreme? Focusing on "pathological" (e.g. autoreferential) and paradoxical scenarios, we will discover that mathematical matters can be approached as games that stimulate our problem-solving skills and creativity. In particular, we will discuss Gödel's incompleteness theorems - important metamathematical results that establish the inherent limitations of the majority of mathematical structures, and which make us question what mathematics is and what it is really capable of.
Learning Outcomes
- Information Literacy: Students will comprehend how information is produced and valued in order to discover, evaluate, use, and create information and knowledge effectively and ethically. In FirstBridge, students will demonstrate the conversational nature of scholarship, and recognize their potential role and responsibilities as contributors to that conversation. For each discipline taught in FirstBridge, students will identify reference works, journals, databases and/or major works in history, in order to start effective research in the field (FB LO1)
- Life at University: Students will acquire the study skills, time management, and interpersonal skills needed to meet the demands of university-level academic work at a Liberal Arts College individually or as a team. Students will value the multiple meanings of place through experiential learning at AUP and beyond in the Parisian or global context (FB LO2)
- Appreciation of the various mathematical logics and architectures, and awareness of their intrinsic limits and what these limits mean, philosophically and practically, for mathematics as a discipline
- Local and Global Perspectives: Students will enhance their intercultural understanding of languages, cultures, and histories of local societies and the global issues to which these relate (CCI LO1)
- Exploring and Engaging Difference: Students will think critically about cultural and social difference; they will identify and understand power structures that determine hierarchies and inequalities that can relate to race, ethnicity, gender, nationhood, religion, or class (CCI LO3)
- Information Literacy: Students will comprehend how information is produced and valued in order to discover, evaluate, use, and create information and knowledge effectively and ethically. In FirstBridge, students will demonstrate the conversational nature of scholarship, and recognize their potential role and responsibilities as contributors to that conversation. For each discipline taught in FirstBridge, students will identify reference works, journals, databases and/or major works in history, in order to start effective research in the field.
- Life at University: Students will acquire the study skills, time management, and interpersonal skills needed to meet the demands of university-level academic work at a Liberal Arts College individually or as a team. Students will value the multiple meanings of place through experiential learning at AUP and beyond in the Parisian or global context.
Syllabus
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Schedule
Start Date:
Monday, September 6, 2021
End Date:
Tuesday, December 21, 2021
| Day | Start Time | End Time | Room |
|---|---|---|---|
Tuesday | 10:35 | 11:55 | PL-1 |
Friday | 10:35 | 11:55 | PL-1 |