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For this Big Problem, we're going to investigate induction in different settings, and think about when it does and doesn't work. (1) The first few parts are about building sets of sets of sets... of sets: The first set {a}. The second set is S₂ P(S) {0, {a}}. What is the third set is S₁ S3 = P(S₂) = P(P(S₁))? What is S3? = (2) What is S4? (3) What do you think is the formula for Sn? (You might need to use some ... in your formula.)

For this Big Problem, we're going to investigate induction in different settings, and think about when it does and doesn't work. (1) The first few parts are about building sets of sets of sets... of sets: The first set {a}. The second set is S₂ P(S) {0, {a}}. What is the third set is S₁ S3 = P(S₂) = P(P(S₁))? What is S3? = (2) What is S4? (3) What do you think is the formula for Sn? (You might need to use some ... in your formula.)

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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For this Big Problem, we're going to investigate induction in different settings, and think about when it does and doesn't work. (1) The first few parts are about building sets of sets of sets... of sets: The first set is S₁ = {a}. The second set is S₂ = P(S) = {0, {a}}. What is the third set S3 = P(S₂) = P(P(S₁))? What is S3|? (2) What is S4? (3) What do you think is the formula for Sn? (You might need to use some... in your formula.)
Transcribed Image Text:For this Big Problem, we're going to investigate induction in different settings, and think about when it does and doesn't work. (1) The first few parts are about building sets of sets of sets... of sets: The first set is S₁ = {a}. The second set is S₂ = P(S) = {0, {a}}. What is the third set S3 = P(S₂) = P(P(S₁))? What is S3|? (2) What is S4? (3) What do you think is the formula for Sn? (You might need to use some... in your formula.)
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