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welcome to discrete mathematics lets start with set theory which is a very fundamental notion in the entirety of mathematics so what is a set a set is a collection of objects called elements and this is very vague because we can have a set about anything we want and usually we talk about sets by drawing little circles so for instance if I want to set up lets say the numbers 1 2 3 I can draw a circle I can put the numbers 1 2 3 in there and that is a set containing numbers 1 2 3 and we can write this formally in curly braces and writing all of the elements inside so in this case our set contains 1 2 3 and we can give this a label and maybe call this a so these are all different ways of representing the same thing a is the set 1 2 3 which looks like a circle containing elements 1 2 3 of course this is just visual and this notation in curly braces is called a lists notation because youre listing them all now sets can be finite or they can be infinite so we can have a set a
