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課程名稱 |
基本集合論
ELEMENTARY SET THEORY |
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開課學期 |
99-1 |
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授課對象 |
文學院 哲學研究所 |
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授課教師 |
楊金穆 |
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課號 |
Phl7713 |
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課程識別碼 |
124EM2990 |
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班次 |
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學分 |
3 |
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全/半年 |
半年 |
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必/選修 |
選修 |
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上課時間 |
星期五6,7,8(13:20~16:20) |
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上課地點 |
哲研討室二 |
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備註 |
本課程以英語授課。本課程以英語授課。
總人數上限：15人 |
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課程簡介影片 |
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核心能力關聯 |
核心能力與課程規劃關聯圖 |
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課程大綱
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為確保您我的權利,請尊重智慧財產權及不得非法影印
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課程概述 |
The course is designed for philosophy undergraduates specially interested in formal logic, philosophy of mathematics and philosophy of language and logic. The aim of this course is to provide a nodding acquaintance with elementary properties of sets and basic axioms of set theory. The study will be confined to the well-established Zermelo -Fraenkel set theory. (A course on Elementary Logic is usually assumed, though not so necessary) |
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課程目標 |
The aim of this course is to provide a nodding acquaintance with elementary properties of sets and basic axioms of set theory. |
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課程要求 |
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預期每週課後學習時數 |
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Office Hours |
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指定閱讀 |
H.B. Enderton, Elements of Set Theory, New York: Academic Press, 1977.
K. Kunen, Set Theory - An Introduction to Independence Proofs, Amsterdam: North-Holland, 1980.
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參考書目 |
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評量方式
(僅供參考) |
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週次 |
日期 |
單元主題 |
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第1週 |
9/17 |
Basic Axioms for Sets |
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第2週 |
9/24 |
Functions |
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第3週 |
10/01 |
Relations |
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第4週 |
10/08 |
Natural Numbers |
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第5週 |
10/15 |
Natural Numbers |
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第6週 |
10/22 |
Equinumerous sets and Schröder-Bernstein Theorem |
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第7週 |
10/29 |
Cardinal Numbers |
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第8週 |
11/05 |
Cardinal Numbers |
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第9週 |
11/12 |
The Axiom of Choice and Countable Sets |
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第10週 |
11/19 |
The Arithmetic of Cardinal Numbers |
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第11週 |
11/26 |
The Arithmetic of Cardinal Numbers |
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第12週 |
12/03 |
Zorn's Lemma, Continuum Hypothesis and Some Variants of the Axiom of Choice |
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第13週 |
12/10 |
Zorn's Lemma, Continuum Hypothesis and Some Variants of the Axiom of Choice |
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第14週 |
12/17 |
Well-orderings |
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第15週 |
12/24 |
Well-orderings |
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第16週 |
12/31 |
Ordinals |
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第17週 |
1/07 |
Ordinals |
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第18週 |
1/14 |
Arithmetic of Ordinals |
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