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a set is a collection of objects we call elements that could mean physical objects thoughts ideas and concepts including mathematical objects which will of course be the main focus for us possibly more importantly a set is a way of packaging up objects which share similar properties in a meaningful way consider the set of triangles we can unambiguously state whether something is or isnt in this set this is in so is this but this shape isnt its not a triangle this lack of ambiguity in what is or what isnt in a set is foundational to set theory we can also make claims about the set and assess again without ambiguity whether theyre true or false its true that an element of the set of triangles has three sides but its not true that the sum of the internal angles is 360 degrees a set containing the numbers 1 2 and 3 would be written like this with curly brackets and the elements separated by commas we can name the set in this case if we say a is equal to the set 1 2 and 3 we can jus
