# MATH 771: Set Theory | UW–Madison

[View on UW Courses](https://uwcourses.com/courses/MATH_771)

## Dataset

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### departments

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## course

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### subjects

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### title

SET THEORY

### description

Martin's Axiom, Suslin and Aronszajn trees, diamond principle, absoluteness and reflection, constructible universe, and one-step forcing constructions. Familiarity with the topics in a basic Foundations course such asMATH 770is strongly recommended.

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MATH 771 covers advanced set theory topics including Martin's Axiom, forcing, and the constructible universe.

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* Martin's Axiom
* Suslin and Aronszajn trees
* Diamond principle
* Absoluteness and reflection
* Constructible universe
* One-step forcing constructions

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* Advanced set theory concepts including forcing, absoluteness, and large cardinal principles.

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        "course_6bc496e4640fd08f71e1b041": {
          "review_count": 2,
          "quality": 1.5,
          "difficulty": 5,
          "quality_count": 2,
          "difficulty_count": 2
        }
      },
      "bayesian_quality": 2.3336015219859463,
      "prior_mean": 3.6596857835465957,
      "prior_weight": 20
    },
    "grade_statistics": {
      "gpa": 2.843,
      "graded": 1712,
      "counts": [
        400,
        271,
        386,
        204,
        251,
        148,
        52
      ],
      "sections": 50
    },
    "instructor_url": "/instructors/STEFFEN_LEMPP"
  }
]
```

### grades

```json
[
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 771",
    "course_uid": "course_54b7cd594705dc9dc85ee694",
    "term_id": "1074",
    "term_name": "Spring 2007",
    "instructors": [
      "BART KASTERMANS"
    ],
    "a": 5,
    "ab": 0,
    "b": 2,
    "bc": 0,
    "c": 1,
    "d": 0,
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    "credit": 0,
    "no_credit": 0,
    "passed": 0,
    "incomplete": 0,
    "no_work": 0,
    "not_reported": 0,
    "other": 0,
    "total": 8,
    "source_aliases": [
      "MATH 771"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 771",
    "course_uid": "course_54b7cd594705dc9dc85ee694",
    "term_id": "1084",
    "term_name": "Spring 2008",
    "instructors": [
      "KENNETH KUNEN"
    ],
    "a": 9,
    "ab": 0,
    "b": 0,
    "bc": 0,
    "c": 0,
    "d": 0,
    "f": 0,
    "satisfactory": 0,
    "unsatisfactory": 0,
    "credit": 0,
    "no_credit": 0,
    "passed": 0,
    "incomplete": 0,
    "no_work": 0,
    "not_reported": 0,
    "other": 0,
    "total": 9,
    "source_aliases": [
      "MATH 771"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 771",
    "course_uid": "course_54b7cd594705dc9dc85ee694",
    "term_id": "1094",
    "term_name": "Spring 2009",
    "instructors": [
      "Joseph Miller"
    ],
    "a": 2,
    "ab": 4,
    "b": 0,
    "bc": 0,
    "c": 0,
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    "f": 0,
    "satisfactory": 0,
    "unsatisfactory": 0,
    "credit": 0,
    "no_credit": 0,
    "passed": 0,
    "incomplete": 0,
    "no_work": 0,
    "not_reported": 0,
    "other": 0,
    "total": 6,
    "source_aliases": [
      "MATH 771"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 771",
    "course_uid": "course_54b7cd594705dc9dc85ee694",
    "term_id": "1104",
    "term_name": "Spring 2010",
    "instructors": [
      "ARNOLD W MILLER"
    ],
    "a": 0,
    "ab": 0,
    "b": 0,
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    "c": 0,
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    "source_aliases": [
      "MATH 771"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 771",
    "course_uid": "course_54b7cd594705dc9dc85ee694",
    "term_id": "1114",
    "term_name": "Spring 2011",
    "instructors": [
      "ARNOLD W MILLER"
    ],
    "a": 0,
    "ab": 0,
    "b": 0,
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    "passed": 0,
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    "total": 0,
    "source_aliases": [
      "MATH 771"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 771",
    "course_uid": "course_54b7cd594705dc9dc85ee694",
    "term_id": "1134",
    "term_name": "Spring 2013",
    "instructors": [
      "MINGZHONG CAI"
    ],
    "a": 0,
    "ab": 0,
    "b": 0,
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    "not_reported": 0,
    "other": 0,
    "total": 0,
    "source_aliases": [
      "MATH 771"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 771",
    "course_uid": "course_54b7cd594705dc9dc85ee694",
    "term_id": "1144",
    "term_name": "Spring 2014",
    "instructors": [
      "MINGZHONG CAI"
    ],
    "a": 0,
    "ab": 0,
    "b": 0,
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    "c": 0,
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    "satisfactory": 0,
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    "credit": 0,
    "no_credit": 0,
    "passed": 0,
    "incomplete": 0,
    "no_work": 0,
    "not_reported": 0,
    "other": 0,
    "total": 0,
    "source_aliases": [
      "MATH 771"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 771",
    "course_uid": "course_54b7cd594705dc9dc85ee694",
    "term_id": "1164",
    "term_name": "Spring 2016",
    "instructors": [
      "RUTGER KUIJPER"
    ],
    "a": 3,
    "ab": 2,
    "b": 1,
    "bc": 0,
    "c": 0,
    "d": 0,
    "f": 0,
    "satisfactory": 0,
    "unsatisfactory": 0,
    "credit": 0,
    "no_credit": 0,
    "passed": 0,
    "incomplete": 0,
    "no_work": 0,
    "not_reported": 0,
    "other": 0,
    "total": 6,
    "source_aliases": [
      "MATH 771"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 771",
    "course_uid": "course_54b7cd594705dc9dc85ee694",
    "term_id": "1192",
    "term_name": "Fall 2018",
    "instructors": [
      "Joseph Miller"
    ],
    "a": 5,
    "ab": 1,
    "b": 3,
    "bc": 0,
    "c": 0,
    "d": 0,
    "f": 0,
    "satisfactory": 0,
    "unsatisfactory": 0,
    "credit": 0,
    "no_credit": 0,
    "passed": 0,
    "incomplete": 0,
    "no_work": 0,
    "not_reported": 0,
    "other": 0,
    "total": 9,
    "source_aliases": [
      "MATH 771"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 771",
    "course_uid": "course_54b7cd594705dc9dc85ee694",
    "term_id": "1222",
    "term_name": "Fall 2021",
    "instructors": [
      "STEFFEN LEMPP"
    ],
    "a": 6,
    "ab": 1,
    "b": 1,
    "bc": 0,
    "c": 0,
    "d": 0,
    "f": 0,
    "satisfactory": 0,
    "unsatisfactory": 0,
    "credit": 0,
    "no_credit": 0,
    "passed": 0,
    "incomplete": 0,
    "no_work": 0,
    "not_reported": 0,
    "other": 0,
    "total": 8,
    "source_aliases": [
      "MATH 771"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 771",
    "course_uid": "course_54b7cd594705dc9dc85ee694",
    "term_id": "1254",
    "term_name": "Spring 2025",
    "instructors": [
      "Joseph Miller"
    ],
    "a": 9,
    "ab": 2,
    "b": 0,
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    "c": 0,
    "d": 0,
    "f": 0,
    "satisfactory": 0,
    "unsatisfactory": 0,
    "credit": 0,
    "no_credit": 0,
    "passed": 0,
    "incomplete": 0,
    "no_work": 1,
    "not_reported": 0,
    "other": 0,
    "total": 12,
    "source_aliases": [
      "MATH 771"
    ]
  }
]
```

### statistics

#### gpa

3.754

#### graded

57

#### counts

* 39
* 10
* 7
* 0
* 1
* 0
* 0

### grade conflicts

None recorded.

### evidence

#### history

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/history/course\_54b7cd594705dc9dc85ee694-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/history/course_54b7cd594705dc9dc85ee694-0.json)

#### traces

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/traces/course\_54b7cd594705dc9dc85ee694-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/traces/course_54b7cd594705dc9dc85ee694-0.json)

#### results

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/results/course\_54b7cd594705dc9dc85ee694-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/results/course_54b7cd594705dc9dc85ee694-0.json)

### revision

e243353dcb7d79b7247ced91d69443ef4c2a6349

## context

### all

#### term



#### gpa

3.754385964912281

#### count

57

#### university

##### size

3756

##### gpa Percentile

61

##### count Percentile

23

##### median Count

114

##### histogram

| range   | count | current |
| ------- | ----- | ------- |
| 0.0–0.4 | 0     | false   |
| 0.4–0.8 | 0     | false   |
| 0.8–1.2 | 0     | false   |
| 1.2–1.6 | 0     | false   |
| 1.6–2.0 | 0     | false   |
| 2.0–2.4 | 0     | false   |
| 2.4–2.8 | 25    | false   |
| 2.8–3.2 | 388   | false   |
| 3.2–3.6 | 1180  | false   |
| 3.6–4.0 | 2163  | true    |

#### departments

```json
[
  {
    "subject": "MATH",
    "comparison": {
      "size": 97,
      "gpaPercentile": 71,
      "countPercentile": 21,
      "medianCount": 116,
      "histogram": [
        {
          "range": "0.0–0.4",
          "count": 0,
          "current": false
        },
        {
          "range": "0.4–0.8",
          "count": 0,
          "current": false
        },
        {
          "range": "0.8–1.2",
          "count": 0,
          "current": false
        },
        {
          "range": "1.2–1.6",
          "count": 0,
          "current": false
        },
        {
          "range": "1.6–2.0",
          "count": 0,
          "current": false
        },
        {
          "range": "2.0–2.4",
          "count": 0,
          "current": false
        },
        {
          "range": "2.4–2.8",
          "count": 7,
          "current": false
        },
        {
          "range": "2.8–3.2",
          "count": 26,
          "current": false
        },
        {
          "range": "3.2–3.6",
          "count": 26,
          "current": false
        },
        {
          "range": "3.6–4.0",
          "count": 38,
          "current": true
        }
      ]
    }
  }
]
```

### terms

#### 1074

##### term

1074

##### gpa

3.5

##### count

8

##### departments

| subject | comparison |
| ------- | ---------- |
| MATH    |            |

#### 1084

##### term

1084

##### gpa

4

##### count

9

##### departments

| subject | comparison |
| ------- | ---------- |
| MATH    |            |

#### 1094

##### term

1094

##### gpa

3.6666666666666665

##### count

6

##### departments

| subject | comparison |
| ------- | ---------- |
| MATH    |            |

#### 1164

##### term

1164

##### gpa

3.6666666666666665

##### count

6

##### departments

| subject | comparison |
| ------- | ---------- |
| MATH    |            |

#### 1192

##### term

1192

##### gpa

3.611111111111111

##### count

9

##### departments

| subject | comparison |
| ------- | ---------- |
| MATH    |            |

#### 1222

##### term

1222

##### gpa

3.8125

##### count

8

##### departments

| subject | comparison |
| ------- | ---------- |
| MATH    |            |

#### 1254

##### term

1254

##### gpa

3.909090909090909

##### count

11

##### departments

| subject | comparison |
| ------- | ---------- |
| MATH    |            |

### benchmarks

#### all

##### school

###### size

3756

###### gpa

3.6138978318770025

###### top Share

79.07704431467326

###### count

114

##### MATH

###### size

97

###### gpa

3.4361513768464014

###### top Share

68.84593608517581

###### count

116

#### terms

##### 1074

###### school

###### size

695

###### gpa

3.3616924722887376

###### top Share

63.22509110105764

###### count

69

###### MATH

###### size

17

###### gpa

2.821339129045922

###### top Share

38.66654769268061

###### count

133

##### 1084

###### school

###### size

720

###### gpa

3.3670742938849725

###### top Share

63.42064564712246

###### count

70

###### MATH

###### size

22

###### gpa

2.977459424628873

###### top Share

44.52710820759676

###### count

88.5

##### 1094

###### school

###### size

758

###### gpa

3.3891454428111527

###### top Share

64.36369814389255

###### count

71

###### MATH

###### size

19

###### gpa

2.861322177541941

###### top Share

40.26350030907326

###### count

108

##### 1104

###### school

###### size

793

###### gpa

3.384661458923085

###### top Share

64.6614752434143

###### count

66

###### MATH

###### size

23

###### gpa

2.9531575824731964

###### top Share

43.549837152646596

###### count

98

##### 1114

###### school

###### size

804

###### gpa

3.3696004653806844

###### top Share

64.0389334741844

###### count

68

###### MATH

###### size

26

###### gpa

2.9090822348911582

###### top Share

41.14706210117883

###### count

83.5

##### 1134

###### school

###### size

852

###### gpa

3.4138934207568203

###### top Share

66.35946578182744

###### count

66

###### MATH

###### size

26

###### gpa

2.938004331770204

###### top Share

42.318323348030226

###### count

83.5

##### 1144

###### school

###### size

878

###### gpa

3.4092443327803017

###### top Share

65.95978235963416

###### count

64

###### MATH

###### size

30

###### gpa

2.926152797086596

###### top Share

42.17363619414386

###### count

79

##### 1164

###### school

###### size

965

###### gpa

3.46491230798535

###### top Share

69.92376287143657

###### count

68

###### MATH

###### size

32

###### gpa

2.995223360849456

###### top Share

46.38098813836469

###### count

83

##### 1192

###### school

###### size

1077

###### gpa

3.50327634323125

###### top Share

72.44641925727845

###### count

67

###### MATH

###### size

39

###### gpa

3.1003216533236415

###### top Share

50.01588968281552

###### count

99

##### 1222

###### school

###### size

1157

###### gpa

3.563052311875811

###### top Share

76.64869058732418

###### count

64

###### MATH

###### size

39

###### gpa

3.2083447119296955

###### top Share

56.75007696473496

###### count

63

##### 1254

###### school

###### size

1289

###### gpa

3.6126423469389106

###### top Share

79.48050408754871

###### count

66

###### MATH

###### size

39

###### gpa

3.180435541912479

###### top Share

53.878371816747475

###### count

89

## instructor Trends

```json
[
  {
    "uid": "instructor_215930b176b00ca246058808",
    "name": "JOSEPH MILLER",
    "count": 26,
    "terms": [
      {
        "term": "1094",
        "count": 6,
        "sections": 1,
        "gpa": 3.6666666666666665
      },
      {
        "term": "1192",
        "count": 9,
        "sections": 1,
        "gpa": 3.611111111111111
      },
      {
        "term": "1254",
        "count": 11,
        "sections": 1,
        "gpa": 3.909090909090909
      }
    ]
  },
  {
    "uid": "instructor_e56a8336f3ed191004b1b2f5",
    "name": "KENNETH KUNEN",
    "count": 9,
    "terms": [
      {
        "term": "1084",
        "count": 9,
        "sections": 1,
        "gpa": 4
      }
    ]
  },
  {
    "uid": "instructor_0fef3fc89c8f21aca8042aa0",
    "name": "BART KASTERMANS",
    "count": 8,
    "terms": [
      {
        "term": "1074",
        "count": 8,
        "sections": 1,
        "gpa": 3.5
      }
    ]
  },
  {
    "uid": "instructor_cdebe12f82db274ba9d0eda3",
    "name": "STEFFEN LEMPP",
    "count": 8,
    "terms": [
      {
        "term": "1222",
        "count": 8,
        "sections": 1,
        "gpa": 3.8125
      }
    ]
  },
  {
    "uid": "instructor_39986cf3d52e30a62b10da3d",
    "name": "RUTGER KUIJPER",
    "count": 6,
    "terms": [
      {
        "term": "1164",
        "count": 6,
        "sections": 1,
        "gpa": 3.6666666666666665
      }
    ]
  }
]
```

## following

None recorded.
