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†#mathematics #μˆ˜ν•™

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Created: 12 min read

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  • [2025-06-04 Wed 19:18] 여기에 쒅합을 ν•˜λ“ κ°€ 해야지
  • [2025-04-24 Thu 23:06]

KEYWORDS: μˆ˜ν•™

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μ‚­μ œ 톡합 μ˜ˆμ •

[2025-06-04 Wed 19:20]

DONE Mathematics μˆ˜ν•™

Topics μ£Όμ œλ“€

1. The science of mathematics: its branches or divisions; the origin and development of mathematics - μˆ˜ν•™μ˜ κ³Όν•™: κ·Έ 가지 λ˜λŠ” λΆ„κ³Ό; μˆ˜ν•™μ˜ 기원과 λ°œμ „

a. The distinction of mathematics from physics and metaphysics: its relation to logic - μˆ˜ν•™μ„ 물리학 및 ν˜•μ΄μƒν•™κ³Ό κ΅¬λ³„ν•˜λŠ” 것: λ…Όλ¦¬μ™€μ˜ 관계

b. The service of mathematics to dialectic and philosophy: its place in liberal education - μˆ˜ν•™μ΄ 변증법과 철학에 κΈ°μ—¬ν•˜λŠ” λ°”: ꡐ양 κ΅μœ‘μ—μ„œμ˜ μœ„μΉ˜

c. The certainty and exactitude of mathematical knowledge: the a priori founda- tions of arithmetic and geometry - μˆ˜ν•™μ  μ§€μ‹μ˜ ν™•μ‹€μ„±κ³Ό μ •ν™•μ„±: μ‚°μˆ κ³Ό κΈ°ν•˜ν•™μ˜ μ„ ν—˜μ  기초

d. The ideal of a universal ma thesis: the unification of arithmetic and geometry - 보편적 μˆ˜ν•™ λ…Όλ¬Έμ˜ 이상: μ‚°μˆ˜μ™€ κΈ°ν•˜ν•™μ˜ 톡일

2. The objects of mathematics: number, figure, extension, relation, order - μˆ˜ν•™μ˜ λŒ€μƒ: 수, λ„ν˜•, ν™•μž₯, 관계, μˆœμ„œ

a. The apprehension of mathematical objects: by intuition, abstraction, imagina- tion, construction; the forms of lime and space - μˆ˜ν•™μ  λŒ€μƒμ˜ 인식: 직관, 좔상, 상상, ꡬ성에 μ˜ν•¨; μ‹œκ°„κ³Ό κ³΅κ°„μ˜ ν˜•νƒœ

b. The being of mathematical objects: their real, ideal, or mental existence - μˆ˜ν•™μ  λŒ€μƒμ˜ 쑴재: κ·Έλ“€μ˜ μ‹€μž¬μ , 이상적 λ˜λŠ” 정신적 쑴재

c. Kinds of quantity: continuous and discrete quantities; the problem of the irrational - μˆ˜λŸ‰μ˜ μ’…λ₯˜: 연속 μˆ˜λŸ‰κ³Ό λΆˆμ—°μ† μˆ˜λŸ‰, 비이성적 μˆ˜λŸ‰μ˜ 문제

3. Method in mathematics: the model of mathematical thought - μˆ˜ν•™μ—μ„œμ˜ 방법: μˆ˜ν•™μ  μ‚¬κ³ μ˜ λͺ¨λΈ

a. The conditions and character of demonstration in mathematics: the use of definitions, postulates, axioms, hypotheses - μˆ˜ν•™μ—μ„œ 증λͺ…μ˜ 쑰건과 성격: μ •μ˜, 곡리, 곡쀀, κ°€μ„€μ˜ μ‚¬μš©

b. The role of construction: its bearing on proof, mathematical existence, and the scope of mathematical inquiry - κ΅¬μ„±μ˜ μ—­ν• : 증λͺ…, μˆ˜ν•™μ  쑴재, 그리고 μˆ˜ν•™μ  νƒκ΅¬μ˜ λ²”μœ„μ— λ―ΈμΉ˜λŠ” 영ν–₯

c. Analysis and synthesis: function and variable - 뢄석과 μ’…ν•©: ν•¨μˆ˜μ™€ λ³€μˆ˜

d. Symbols and formulae: the attainment of generality - κΈ°ν˜Έμ™€ 곡식: μΌλ°˜μ„±μ˜ 달성

4. Mathematical techniques μˆ˜ν•™μ  기법

a. The arithmetic and algebraic processes - μ‚°μˆ  및 λŒ€μˆ˜ κ³Όμ •

b. The operations of geometry - κΈ°ν•˜ν•™μ˜ μ—°μ‚°

c. The use of proportions and equations - λΉ„μœ¨κ³Ό λ°©μ •μ‹μ˜ μ‚¬μš©

d. The method of exhaustion: the theory of limits and the calculus - μ†Œμ§„ 방법: ν•œκ³„ 이둠과 미적뢄학

5. The applications of mathematics to physical phenomena: the utility of mathematics - μˆ˜ν•™μ˜ 물리 ν˜„μƒμ— λŒ€ν•œ μ‘μš©: μˆ˜ν•™μ˜ μœ μš©μ„±

a. The art of measurement - μΈ‘μ •μ˜ 예술

b. Mathematical physics: the mathematical structure of nature - μˆ˜λ¦¬λ¬Όλ¦¬ν•™: μžμ—°μ˜ μˆ˜ν•™μ  ꡬ쑰

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