[Reconstructing Descartes] Around the turn of the last centuries, logicians and mathematicians have tried to redefine everything using only set theory in the pursuit of eliminating all statements that are not verifiable in science (the technical term is called "falsifiability"). Read p.10 together about how Kuratowski defined ordered pairs using only set notations. Discuss and convince each other how it works, and what properties of set theory were used to create ordered pairs from a set which does not have the concept of "order" built in, e.g. {1,2,3} = (1,3,2} = {3,2,1} = {3,3,1,1,2}. Together, device new examples with non-mathematical set elements to show how you could "create order from disorder". Summarize your explanation into a paragraph in point-form with 4 or 5 sentences (the number of sentences equal the number of your group member).

Database System Concepts
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ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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4. [Reconstructing Descartes] Around the turn of the last centuries, logicians and mathematicians have tried to
redefine everything using only set theory in the pursuit of eliminating all statements that are not verifiable in
science (the technical term is called "falsifiability"). Read p.10 together about how Kuratowski defined ordered
pairs using only set notations. Discuss and convince each other how it works, and what properties of set theory
were used to create ordered pairs from a set which does not have the concept of "order" built in, e.g. (1,2,3} =
{1,3,2} = {3,2,1} = {3,3,1,1,2). Together, device new examples with non-mathematical set elements to show
how you could "create order from disorder". Summarize your explanation into a paragraph in point-form with 4
or 5 sentences (the number of sentences equal the number of your group member).
Transcribed Image Text:4. [Reconstructing Descartes] Around the turn of the last centuries, logicians and mathematicians have tried to redefine everything using only set theory in the pursuit of eliminating all statements that are not verifiable in science (the technical term is called "falsifiability"). Read p.10 together about how Kuratowski defined ordered pairs using only set notations. Discuss and convince each other how it works, and what properties of set theory were used to create ordered pairs from a set which does not have the concept of "order" built in, e.g. (1,2,3} = {1,3,2} = {3,2,1} = {3,3,1,1,2). Together, device new examples with non-mathematical set elements to show how you could "create order from disorder". Summarize your explanation into a paragraph in point-form with 4 or 5 sentences (the number of sentences equal the number of your group member).
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