$[$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$).$