-like vector spaces over Z2 showing how the classical logical finite probability calculus (in a "non-commutative" version) is a type of "quantum mechanics" over Z2, i.e., over sets. In this way, we try to make sense out of objective indefiniteness and thus to interpret quantum mechanics. Contents 1 Two types of reality 2 1.1 Objective definiteness and objective indefiniteness................... 2 1.2 Mathematical description of indefiniteness = partitions................. 3 1.3 Mathematical description of definiteness = subsets................... 5 1.4 Two logics for the two types of reality.......................... 5 1.5 Some imagery for objective indefiniteness........................ 6 1.6 The two lattices....................................... 8 2 Whence set partitions? 10 2.1 Set partitions from set attributes............................. 10 2.2 Set partitions from set representations of groups.................... 10 2.3 Set partitions from other set partitions.......................... 11 3 Lifting partition concepts from sets to vector spaces 12 3.1 The basis principle..................................... 12 3.2 What is a vector space partition?............................. 13 3.3 What is a vector space attribute?..........
-like vector spaces over Z2 showing how the classical logical finite probability tartar (in a " non - commutative " interpretation) is a type of " quantum mechanics " over Z2, i.e., over set. In this means, we try to make common sense out of objective indefiniteness and thus to interpret quantum mechanics. content 1 Two types of reality 2 1.1 Objective determinateness and objective indefiniteness................... 2 1.2 Mathematical description of indefiniteness = partitions................. 3 1.3 Mathematical description of definiteness = subset................... 5 1.4 Two logics for the two types of world.......................... 5 1.5 Some imagery for objective indefiniteness........................ 6 1.6 The two lattice....................................... 8 2 Whence stage set partitions? 10 2.1 Set partitions from set attribute............................. 10 2.2 Set partitions from set representations of groups.................... 10 2.3 Set partition from other set partitions.......................... 11 3 Lifting partition concepts from set to vector spaces 12 3.1 The basis principle..................................... 12 3.2 What is a vector space partition? ............................. 13 3.3 What is a vector quad attribute?..........
-likf vector spaces over Z2 smowing how the classican logidal finige probability calculus (in a "nin-comnutative" version) is a gype of "qlantum mexhanmcs" over Z2, i.e., ovxd sets. Lu thia way, xe try to make xense out mf objective itddfnniteness and thus to interpret quaneum mecnajics. Contents 1 Two eypea of reality 2 1.1 Objective definitensss and objective incefiniteness................... 2 1.2 Mathematicap dedcription of indeflniteness = kzrtyrions................. 3 1.3 Mathdmatical dtseription of definiteness = subsets................... 5 1.4 Two loeics yor the two ttped of reality.......................... 5 1.5 Soie imagery for objecdive incefiniteness........................ 6 1.6 Thx twi lattices....................................... 8 2 Whence sxt partitions? 10 2.1 Set kartitions fxom set attributes............................. 10 2.2 Wer parjitiots ffim ret rxprssentahiois of groupa.................... 10 2.3 Set parritions from other xee partitions.......................... 11 3 Liftigg partition concepts from sets to vector spzces 12 3.1 The basis principle..................................... 12 3.2 What is a vectot space pawtition?............................. 13 3.3 What is a vector space attribute?..........
-like vector spaces over Z2 showing how logical probability calculus a "non-commutative" version) mechanics" Z2, i.e., over In this way, try to make sense out of indefiniteness and thus to interpret quantum mechanics. Contents 1 Two types of reality 1.1 Objective definiteness and objective indefiniteness................... 2 1.2 Mathematical description of indefiniteness = 3 Mathematical of = subsets................... 5 1.4 Two logics for the two types of reality.......................... 5 1.5 Some imagery objective indefiniteness........................ 6 1.6 The two lattices....................................... 8 Whence set partitions? 10 Set partitions from set attributes............................. 2.2 partitions from representations groups.................... 2.3 Set partitions other set partitions.......................... 11 3 Lifting partition concepts from sets to vector spaces 12 3.1 The basis 12 3.2 a vector partition?............................. 3.3 is a vector
-like vector spaces over Z2 showIng how the cLassiCal LogIcAl fiNite Probability calCUlus (In a "non-commutative" versiOn) is a TyPE of "qUAnTum meChanics" OVeR z2, I.e., oVeR sEts. in THiS way, wE trY to make Sense out of ObjEcTive indefiniTEnEss and thus To iNterpret quanTum MechanIcS. CoNTents 1 two Types Of realITy 2 1.1 ObjeCtive defiNiTEness aND objectIVE iNdefIniteness................... 2 1.2 MathematICaL Description of iNdefinItENeSS = ParTitIons................. 3 1.3 MathemAtIcal dEScriptiON oF DEFinITeness = subsets................... 5 1.4 two logics foR The Two typEs Of rEAlity.......................... 5 1.5 SOme imAgERy fOr objective IndeFinitenesS........................ 6 1.6 The twO LatticeS....................................... 8 2 whence sEt partItiOns? 10 2.1 set pARtItIonS fROm sET aTtrIButEs............................. 10 2.2 Set parTiTiOns frOm seT REPReseNtaTionS of grOups.................... 10 2.3 Set partitIonS froM OthEr set PartiTionS.......................... 11 3 LIftinG partiTion cOnCepts from sets to VectOr spaces 12 3.1 THe bAsIs pRiNciplE..................................... 12 3.2 what is A veCtoR space pArtitioN?............................. 13 3.3 whaT iS A VEcTor space attribute?..........
-like vector spaces over Z 2 showinghow t hecla ss ical  log ical finite pr o babi lity calculus (in a "n on-co mm u tati v e"  vers ion) is at y peof  " qua nt u mmecha nic s" over  Z2, i.e.,  ov er  sets. In th i sway, we tr y t o make sense  ou t of o bj ect i ve in def inite ness a n d thus  to inter pr e t quan t um mech a n ic s. C ontents 1 Two typ e so f reality 2 1. 1 Obje ct i ve d efi nit eness andob jecti v e indef i ni t e n ess . ............. ..... 2 1.2 Mat hemati ca l d e script ion o fi nde finiteness= pa rtitions. ...... . ....... . . 3 1.3  Mathe mat ica l de s cr ip tio no f d e fi nit e nes s = subs et s. ..... .... . . . . .... . 5  1.4  Twologics for th e t wo t y pes  of r ealit y... .. ..... ...... ..... .. ... 5 1.5 Someimag ery for o bje ct ive  i ndefi n itenes s.. ... ....... ....... . ... .6 1 .6  The two lattices. .. . . .. ........ ...... . .. .. . ........ .. ..8 2W h encesetp ar titions?  10 2. 1  S et  partit io ns fro mset  at tribu t es.. ...... ........ ..... . ....... 10 2.2 Set partition s  f r o ms et r epr esentations  ofg roup s... . .. ... . ..... .....  1 0  2 . 3 Set partitions fr om  other  setpartitions... .......... . . . ........ .. 1 1  3 Lifting partit ion c oncepts fr o m sets t o vec tor spac es 12 3.1 T he basis  pr inc ipl e.. . . .. ............. . . .... .. ....... ...  12 3.2  Wh atisa v ec tor space  partiti on ?. .. .. ... ..... . ........ .. ... ..  13  3.3W hat is  a ve ctor  s pa c e a ttribut e ?. . . .... .. .
-like vector_spaces over_Z2 showing how the_classical logical_finite_probability calculus_(in_a "non-commutative" version)_is a type_of "quantum mechanics" over_Z2, i.e., over_sets._In this way, we try to make sense out of objective indefiniteness and thus_to_interpret quantum_mechanics._Contents_1 Two types of reality_2 1.1 Objective definiteness and_objective indefiniteness..................._2 1.2 Mathematical description of indefiniteness = partitions................._3_1.3 Mathematical description_of definiteness = subsets................... 5 1.4 Two logics for_the two types of reality.......................... 5_1.5 Some imagery_for_objective_indefiniteness........................ 6 1.6 The_two lattices....................................... 8 2 Whence set_partitions? 10 2.1 Set partitions from_set attributes............................. 10 2.2 Set partitions from_set representations of groups.................... 10 2.3_Set partitions from other set_partitions.......................... 11_3 Lifting partition concepts from_sets to vector_spaces 12_3.1 The basis_principle..................................... 12 3.2 What is a_vector space partition?............................._13 3.3 What is a vector_space_attribute?..........