Valkerie (@sinbad989) - Honouree

Valkerie

World Wide Web

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about 7 years ago

Check my latest fight ! ophro vs sinbad989

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Elements of Set Theory: Ordering on Natural Numbers Ordering on Natural Numbers Previously, we have defined natural numbers that was a side effect of our spurious definition, e.g. !(https://

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Elements of Set Theory: Arithmetic Arithmetic We can apply recursion theorem, from the previous section, to define addition and multiplication on !(

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Elements of Set Theory: Recursion on Natural Numbers Consider the situation where I want you to guess the function such that I only give you two information; that is, a starting value !(ht

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Elements of Set Theory: Peano's Postulates !( Hi! I'm Giuseppe Peano, I introduce Peano

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Elements of Set Theory: Inductive Sets In mathematics, there are two ways of introducing new objects for study, axiomatic approach (e.g. the one we have used for sets) The

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Elements of Set Theory: Ordering Relations Elements of Set Theory: Ordering Relations From the first section of this chapter, we've covered about the ordering relation of the ordere

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Elements of Set Theory: Equivalence Relations Consider a set A given by a figure in (a), say we want to partition it into six boxes as in (b). !1528783412413.png(

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Elements of Set Theory: Infinite Cartesian Products We've encountered in previous section Cartesians products of two sets, this time we will show that we can form something like the Cartesian

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Elements of Set Theory: Functions In most calculus books a function is introduced as a rule that assigns to each object in a certain set (domain) a unique object in a possibl

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Elements of Set Theory: n-ARY relations Elements of Set Theory: n-ARY relations You might be wondering why do relations only have to do with ordered pairs. We can actually extend

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Elements of Set Theory: Relations Elements of Set Theory: Relations First let's consider some examples. The ordering relation < on the set !(

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Elements of Set Theory: Ordered Pairs Elements of Set Theory: Ordered Pairs Consider the following pair set: !(

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Elements of Set Theory: Algebra of Sets Elements of Set Theory: Algebra of Sets The two basic operation on sets are operation of union !(

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