NONCHEAT-NONWEIRD-"WORKSFORME"-GROUP-GENRATIC MATH BRED CIVILIZATION
("We have arranged that science and technology cannot be understood ... a prescription for disaster."
"Bertrand Russell said that [the axiomatic method] had all the advantage of theft over honest labor."
"IFF" denotes "IF, AND ONLY IF". For answer to Task, click eyelet. To dismiss answer, click "OK".)
1. What is Whitehead-type ("worksforme") mathematics?
2. What is NONCHEATING ARITHMETIC?
3. What is NONWEIRD ARITHMETIC?
4. What is GROUPING MATHEMATICS?
5. What is GENERATIC MATHEMATICS?
6. How much math so you need to know?
7. What does it mean to claim that mathematics created Civilization?
8. How did music derive from mathematics?
9. What is the evidence that science depended on mathematics in ancient times?
10. How did religion find support from mathematics?
11. What is the evidence that writing derived from mathematics?
12. Counting, of course, led to arithmetic. Why does arithmetic dominate mathematics?
13. What motivates counting?
14. How did the idea of RECURSION ON A UNIT originate?
15. How do we go from BEGAT ON ADAM to RECURSION ON UNIT?
16. What is the secret of RECURSION?
17. What is the result of RECURSION BY THE SUCCESSOR FUNCTION?
18. NATURAL NUMBERS allow inventorying and such by COUNTING. Why go beyond this?
19. What do we have for creating an ADDITION operation?
20. Why extend NATURAL NUMBER ARITHMETIC beyond COUNTING and ADDITION?
21. How do we KNOW that AN OPERATION CAN HAVE AN INVERSE?
22. What problem about SUBTRACTION affects any further extension of ARITHMETIC?
23. Prior to creating A SYSTEM CLOSED FOR SUBTRACTION, what NATURALS PROBLEM arises?
24. How do we CONSTRUCT A SHORTCUT FOR REPEATED ADDITION?
25. Why NAT. NUMBER ARITHMETIC beyond ADDITION, SUBTRACTION, MULTIPLICATION?
26. Prior to a new SYSTEM for INVERSE CLOSURE, what about REPEATED MULTIPLICATION?
27. What is the big SURPRISE when we seek an INVERSE for EXPONENTIATION?
28. How DEFINE LOGARITHM, ROOTEXTRACTION as INVERSES of EXPONENTIATION?
29. Should we worry about REPEATED EXPONENTIATION? Or go to another PROBLEM?
30. How do we CLOSE our INVERSES, say, SUBTRACTION for NATURAL NUMBERS?
31. What's this MINIATURE ARITHMETIC of DEFINED DIFFERENCES OF NATURAL NUMBERS?
32. What is the RULE for DEFINED DIFFERENCE of DEFINED DIFFERENCES? Always WORK?
33. What is the RULE for DEFINED MULTIPLICATION of DEFINED DIFFERENCES?
34. DEFINED DIVISION DIFFERENCE doesn't teach us, so BYPASS it. More background?
35. We've essentially a MODEL OF ARITHMETIC OF DEFINED DIFFERENCE. How do we apply it?
36. What is the SUBTRACTION RULE for 2-VECTORS of NATURAL NUMBERS?
37. What is the 2-VECTOR EQUIVALENCE RULE. What is its CONSEQUENCE for 2-VECTORS?
38. What does the previous result mean for MULTIPLICATION of 2-VECTORS?
39. SUBTRACTION OPEN for NATURALS, but CLOSED for 2-VECTORS of NATURALS. Is this all?
40. DIVISION IS OPEN FOR NATURAL NUMBERS AND INTEGERS. What can we do about this?
41. We've our MINIATURE ARITHMETIC OF QUOTIENTS OF INTEGERS. What do we do with it?
42. What does EQUIVALENCE for 2-VECTORS of INTEGERS tell us?
43. EXPONEN. INVERSES (LOGARITHM & ROOTEXTRACTION) are OPEN IN RATIONALS. So?
44. How do we find CLOSURE for ROOTEXTRACTION?
45. Whence PRODUCT RULE? What are the SURPRISING CONSEQUENCES of the previous result?
46. What is a MODUL STRUCTURE? Is it in standard literature?
47. Why does THE EXTENSION OF ARITHMETIC now abruptly but richly CHANGE?
48. HYPERCOMPLEX extension? MULTIVECTORS? ARITHMETIC OF CLIFFORD NUMBERS?
49. How does one ENUMERATE THE ARITHMETIC OF CLIFFORD NUMBERS?
50. Clifford Algebra (aka ...) appears difficult in the literature, almost recondite. Is it?
51. How do I know my papers (DERIVING 3 PRODUCTS OF C. A.) were rejected UNREAD?