MAT 2362 Foundations of Mathematics

3 units
Mathematics
Faculty of Science
Review of propositional logic, informal set theory and proofs techniques. Paradoxes, introduction to axiomatic set theory and the encoding of mathematics. Ordinals, ordinal arithmetic. Axiom of choice, well-ordering principle and Zorn’s lemma. Cardinals and cardinality of sets, Cantor-Schröder-Bernstein theorem, Cantor's diagonal argument, continuum hypothesis. Introduction to recursive functions and recursive sets.

Components:

Discussion Group
Lecture

Requirements:

Prerequisite: MAT 1348 or MAT 1362 .

Previously Offered Terms:

Fall

French Equivalent:

Organized

138 responses

4.51

/ 5

strongly agree
65%
agree
28%
disagree
3%
strongly disagree
3%
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Clear Expectations

59 responses

4.42

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strongly agree
59%
agree
29%
neither agree nor disagree
8%
disagree
2%
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Learned a Lot

137 responses

4.32

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strongly agree
54%
agree
35%
disagree
8%
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Recommend

80 responses

4.22

/ 5

strongly agree
49%
agree
39%
disagree
11%
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1%
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Workload

80 responses

2.54

/ 5

very heavy
13%
heavier than average
28%
average
54%
lighter than average
6%
very light
0%
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Fair Assessments

139 responses

4.44

/ 5

strongly agree
62%
agree
29%
disagree
6%
strongly disagree
2%
question not applicable
1%
25%
50%
75%
100%