21. Law-and-order types say the spread of fingerprinting will create a safer, more secure world through " robust identification ." 22. The rank of this set is bounded by the order type of the tree in the Kleene Brouwer order. 23. Higher-order type operators become possible. 24. The theory is a second-order typed lambda calculus similar to System F, but with existential instead of universal quantification. 25. The size ( number of elements, cardinal number ) of a finite set is equal to the order type . 26. This is followed by a collection of " blocks, " each of order type , the order type of the integers. 27. This is followed by a collection of " blocks, " each of order type, the order type of the integers. 28. Every well-ordered set is uniquely order isomorphic to a unique ordinal number, called the order type of the well-ordered set. 29. Then an ordinal number is, by definition, a class consisting of " all " well-ordered sets of the same order type . 30. A few optional parameters can be attached to the orders, leaving IEX with many fewer order types than most other exchanges.