Upgrade your account to a Community Supporter account and remove most of the site ads.
Enchanted Trinkets Complete--a hardcover book containing over 500 magic items for your D&D games!

Reply to thread

Message: <blockquote data-quote="CRGreathouse" data-source="post: 3206887" data-attributes="member: 474">I'm going to give this as critical an eye as I can manage.  First, negative numbers aren't well-defined as such (do you mean negative rationals, reals, or integers).  Also, normal numbers are orthogonal to the whole hierarchy. Try this:Natural and Negative natural (equal CR, but mirror-image powers)Integer (with the powers of both of the above, and maybe one more)Rational (the standard powers above, plus nonintegral powers -- needs a better name)Algebraic (the above plus irrational powers -- bending standard rules?)Real (the above plus trancendental powers... this one's easy)Complex and Gaussian Integers are easy to define with the ideas above -- just make them 2D reals and integers, respectively.I'd make the powers of the integer standard for the (math) subtype, with the first pair lacking as a special case half the powers.Why do matrices work backward?  Integers are a subset of the rationals, so you make the rationals stronger; shouldn't definite matrices be weaker than invertible matrices then?  Also, reals, complex numbers, quaternians, octonians, sedonians, etc. are all special cases of matrices (1x1, 2x2, 4x4, 8x8, and 16x16 respectively).If the suggestion on divine ranks is taken as ordered I think there's a problem (or a plot hook?).   The union of your second and third examples is in your fourth category (evens + Cantor set = unbounded uncountable).  Would you want creatures working together or melding to create another that much stronger?  If you like that idea keep it as a plot hook; if not, drop unbounded.If you want to use other sets, as someone suggested, you could compare size with cardinality (the evens, primes, and squares are all infinite with card = aleph_0), measure (1/2, 0, 0, respectively) or reciprocal sum (divergent, divergent, and convergent, respectively).</blockquote>

Verification