. .
Other online Radio Stations
C.Shannon (on his information theory, 1948): Feyman autobiography  "Surely you're joking, Mr. Feynman!" On Semigroups as StateMachine closures, and Preserved Statepartitions = Machine structure.  My 8 papers on Arxiv (at front.math.ucdavis.edu) Re: Question for Mathematics PhDs  NFB (sci.math Jan'99) On Particle/Wave & Matter/Mind  Alternating Discrete/Continuous models in a hierarchy, and Memory! "Sequential Dimension" of stringsets: Peano N={1}* vs. Cantor 2^N={0,1}* Is mathematics a science?  Clarification of terms, by Arturo Magidin Lightspeed : is independent of Frequency to within 6 x 10^(21). Caroline Thompson<\a> Homepage Forgotten History  List of essential missers, by Caroline Thompson (2000)
Doppler interpretation of the Hubble Redshift : Halton Arp's objections.
Etherwind and Lightspeed: [Summary 1] Ether as dissipative medium for EMwave propoagation. [Summary 2] Hubble redshift by Photon Decay (halflife 6 billion yrs) From classical to modern etherdrift experiments : the narrow window for a preferred frame. Dark Matter = Total Ethermass? [ Galaxy density in Universe :: 1 pea / (mile)^3 ] Observer in a moving lift Re: bending light in a gravity field.
Lunar Laser Ranging Experiments  (Webster Kehr) The Moon recedes 6 cm/year! Re: Dayton Miller experiments repeated (re MichelsonMorley)
sciencedirect.com  my 12 papers on FSM (State Machines), Finite Semigroups, ...
 New book :  "Associative Digital Network Theory" (preface.htm) :
"Additive structure of the Group of Units mod p^k , scimath (25 april 2006)  by B.Setterfield, D.Dzimano (dec2003) : 'Quantized Redshift', definitely not Doppler. Redshift FAQ  Setterfield Everything is Expanding : Faroff and Closeby (Ray Tomes) Quantity and Quality : Orthogonal  in a multidimensional world. (wsm1933, 20apr04) Time and Frequency Domain views of Nonlinearity (NFB 23oct2004) Emergence of Quanta in a Causal Continuum  Tony Booth The 'singlefocus' syndrome danger (Mar.2000, NB) Re: WSM Website and Wiki./ Etherons Discrete and Continuous models BOTH necessary. Re: the Laws of Nature / 'facts' and context : it's all relative to agreed aim/context...  Reply WSMFotonTest  Testing for Foton'particle' vs. Continuous_wave light. Redshift by Wave dilation  Ingvar Astrand Plasma Cosmology  based on currents in space (Alfvèn, Peratt: 1970's).. (full text)  "The Iron Sun" Re: the Electric (Plasma) Universe. The Big Bang never happened  book by Eric Lerner.  ( his homepage )  Hubble telescope: Deepspace foto  with large variety of different galaxytypes > No BigBang!
WSM7736 Robert Dorsey
The Electric Plasma Universe
 by Mel Acheson (22jan02):
"The Wholeness of Nature"
 Henri Bortoft (1996): Synthetic 'science'. Cantor's Theory: Mathematical creationism  sci.math (22nov04) Question on Cantorset & Kronecker  Bill Tait (UChicago) Constructive Mathematics  by Alan Calder (Sci.American, 1979 p134143)  Refs Intro to Wavelets (IEEE) Fermat Last Thm  "Breaking the Hensel Lift" mod p^(3k+1) for the Cubic roots of 1 mod p^k.
Cantor's uncountable infinity 2^N has 2 generators, vs. Peano's countable N: 1 generator. 
Fermat, Waring, Goldbach . . . Cantor, (in)finite FSM, Semigroups . . . General math/physics :
Fewago . . . Fermat, Cubic Roots . . . Waring PowerSum . . . Goldbach PrimeSum . . . Carry <= Residue . . . Fermat's Marginal Note . . . Intro FLT . . . Fermat = Anticlosure (+) Selmer Local/Global . . . Additive Nrtheory . . . Semigroups, FLT . . . Philosophy Fermat in Toulouse . . . Functions, Associative . . . Cubic Roots a^3=1 . . . Campaign Cantor Diagonal . . . Integer State Machines . . . (in)finite . . . Controversy Mathuse Maslow . . . Ether, Redshift . . . IChing Basic 8 Hex . . . Quotes Function composition & Arithmetic: Fermat, Waring, Goldbach via semigroup Z(.) mod m_k 
Java/Birma 1942'45  Dagboek by JCB (Dutch, 310k pdf) De Bataafse Mythe Rembrandt: 'De eed van Claudius Civilis' (Museum Stockholm)
Humor / Relegion
On the Structure of our Universe (Cosmology)  John Sankey
Theory in the Age of Digital Transformation : (by Henry Jenkins, MIT) table_of_physical_constants . . . Exact Particles .vs. Fuzzy Waves . . . "If I don't see far, it's because Giants are standing on my shoulders." [Dave Rusin] Yahoo group WSM  On naturals N and reals 2^N : numberline and Lattice. Phiwave Aether theory  C.H.Thompson (2004) My interest in discrete math  Motivational discussion with Pertti Lounesto  sci.math dec'99 "Distant stars (spectra) blurr only in evendimensional spaces". Pertti Lounesto. Speed of sound  in various materials. Limits to classic EM fields  Kirk McDonald (PrincetonU) Wave structure of Matter  Gabriel LaFrenière. QuickBasic for animation of Wave Motion  Charles Peirce Moon distance by Laser reflection  Apollo 11 (1969)
Pioneer_10  shows decay of radiowaves (A. Stolmar) Redshift by Photon decay  Photon halftime = 6.5 x 10^9 yrs (M. Lewis) "A photon has weight"  Williamson, van 't Hooft  On the structure of our Universe : a balanced view (John Sankey) Some 60 columns on Science  (Ira Pilgrim)
#13: Science and Belief
. . Scientists are also Human. . (on the role of Inertia in Science)
#19: Mystification Ron's place . . Biographies of interesting writers/scientists/philosophers/etc. "Alternative Physics On Line" . . Critical notes by prof. U.Bartocci (UPerugia.it)
SSE: Society for Scientific Exploration (StanfordUniv, USA, 1982)
As science has developed, it has become increasingly compartmentalized.
Natural Philosophy Alliance (NPA)
Redshift of fotons: Lossy Light propagation in Ether, after all?
Hubble Red Shift by Photon Decay: a sensible explanation  by Michael Lewis
Examples of Suppression in Science OPTIS Satellite Based Optical Tests of Special and General Relativity (UDüsseldorf.de)
Interview with Carver Mead (on his nonstatistical 'Coherent Physics')
T. Van Flandern, J.P.Vigier :
Experimental Repeal
of the Speed Limit for Gravitational, Metaphysics / Natural Philosophy  On the Wave Structure of Matter Pertti Lounesto on farstar spectra : NOT blurred in odd dimensional space!
Is the electron a photon with toroidal topology?  by M. van der Mark, and J. Williamson Michelson/Morley : measuring in a medium moving along with the Earth proves nothing about 'Ether'. Remember history ... re Hubble Redshift: 20 yrs after Einstein's RTh Einstein on Ether, he called it 'ponderable matter' (lecture 5 May 1920, Leiden Univ;)
Caroline Thompson physics site : Common sense is less common than you think, Re: Steadystate Universe : Matter converted into wave energy in some places and back again in others." Don't rock the Boat : Can you blame them? After all, one cannot be careful enough about one's reputation... Large precession of Mercury's orbit near the Sun : due to ether density modulation near a heavy body?
Redshift by photon friction in 'ether' : (Re: Occam's Razor in Math & Physics): Common Sense ... seems less common than you'd think... Re: a minimal 'particle' (electron) being an ether_tornado? : _Why_ (if indeed) are all electrons the same? "Threshold" as the difference between quantity & quality.  Re: the difference between particle and wave. What is the lifetime of an electron? : The energy loss could reappear as low freq. 'background radiation'. Test this hypothesis of etherdrag : the Mercury orbit precession .. using established orbit CAD
Dark Matter/energy
by vanderL : Re: "The Einstein Hoax" (sci.math 14jan2000):  On lossy light propagation, and from the outside lookingin... Theoryedge (6sep98) :  FLT(case1) and the 'triplet' structure of units in semigroup Z(.) mod p^k Re: Problem with Cantor's diagonal argument (re finite case)  Cantor & Binary matrix row permutations Re: Why the attack on Cantor's Theory?  A simple string generation difference Peano N vs. Cantor 2^N Re: Does the set of all sets exist?  Sets, power sets & Cantor's binary representation. An interesting discussion  on FLT / Wiles' proof / Psychology / Science & Math. iljaschmelzer : General Lorentz Ether Theory.
A New NonDoppler Redshift . . by Paul Marmet, Herzberg
Possible Cause of Redshift?  String Theory Discussion Forum All about the MM experiment  Forgotten history of MichelsonMorley experiment 1887 (J.R.Redbourne) List of articles on Cosmic 'ether' (aether) "Dayton Miller and the EtherDrift" : Critical historical remarks.
Re: Do you actually need an ether model?
> We would do best to remember our history! (>)
Indeed, and in fact Hubble  in his 1931 paper with Humason  warned in a footnote
By the way, congratulations on the charming farmer/mouse story. I actually thought his
For a math approach, via Maxwell E/M eqns *with* damping coefficient in a dissipative
He derives a foton halftime of 1/(h.c^2) sec, which is about 6.5 billion years
Oh well, as many a farmer will agree, it is all human psychology man !!
PS: The Redshift is a VERY weak effect, and was detected some 20 years AFTER Einstein's
Re: What is a Crackpot?  On dissident / alternative 'common sense' model of the Cosmos. Was There a Big Bang? . . I Honestly Don't Know . . (2002, 3rd ed.) by Richard Carrier Hubble Red Shift by Photon Decay: a sensible explanation  by Michael Lewis
 Universal Kinetic Energy Field . . by Dan K. McCoin
Tribute to JeanPierre Vigier and the Causal Model of Quantum Mechanics Red Shift and Distances. . . by Mike and Sue Lawrence. . . Chapter 10 : Tired Light
 History of Einstein's Relativity vs. Lorentz' Aether Theory
> >  "The Einstein Hoax"  by H.E.Retic (1997) > > If you have read the material at above Website, and have an objective > criticism, you will receive a courteous reply. And, if your criticism > cannot be refuted, your input will either be incorporated to correct > the text or, if the criticism is of sufficient import, the text will > be withdrawn. So far, the material has received two types of response. > One type (60%) is extremely favorable, the other type (I presume from > the "idiot savant" community) is insulting but has yet to provide an > objective criticism on any point. One thing can be stated with > certainty, the World is entitled to a higher quality of workmanship > from those to whom it has granted World Class status. > > Email: retic@viconet.com NB: I'll have a closer look. As an interested "crank" (someone who's not averse to thinking for himself, despite the dangers of it in an established thinking frame;) have look at http://www.iae.nl/users/benschop/ether.htm : "Redshift of fotons: Lossy Light propagtion in Ether, after all?" Which might just attain a slightly more established gloss if indeed the Maxwell equations could be extended to include a loss term... See http://members.chello.nl/~n.benschop (by Michael Lewis) Does'nt every process in Nature dissipate  a "perpetuum mobile" being rather utopean. *Why* should light propagation through billions of lightyears be any different ?)  Ciao, Nico Benschop.  AHA: One is Always Halfway Anyway http://www.iae.nl/users/benschop  Institute of Advanced Engineering zyx.org/BIGBANG  A balanced critique on 'religious zeal' in presentday science. prof. Allen Rothwarf (1935  1998) incl.: "An Aether model of the Universe". . . Some life wisdom oneliners . . by Andy Rooney. . . Pictures of the Evoluon (Philips, Eindhoven, NL) . . homepage Kees Stravers . . Pictures of Geldrop (NBrabant, NL) . . About Geldrop  (Dutch, with foto's)
electronphoton.pdf  Is the electron a photon with toroidal topology?
"The Ring of Hyperintegers" . . (Patrick Reany)  On padics and 'infinite residues', Clifford Algebra, &c. Controversy :  Tradition vs. modern, continuous vs. discrete, &c Filosofy :  Intuition and imagination in Math. On tough arithmetic problems  Why they are so hard, and what to do about it.
Right function notation x(fg) vs. g(f(x))  Attributed (anecdotal) to
AntiZeus , Athens, 450 BC
There are too many B.A.D. mathematicians
" Something Rotten at the Core of Science? " . . by David F. Horrobin
Many scientists and lawyers are unhappy about the admission by the top legal
Peer review is central to the organization of modern science. The peerreview
Subject: Re: This unintelligible Newsgroup.... (sci.math  22 Apr 2002) From: Nico Benschop 
28oct99  Re: Solving FLT  By reviving the carries (multiple of modulus p^k) beyond mod p^k. 21aug00  Re: I am disappointed in God  NB > P.Lounesto: Groups (symmetries) are not All  take Semigroups! 12jan99  Re: JSH: What I do.  On FLT via residues mod p^2 (odd prime p), and the EDS property. 6.oct99  Re: Does the set of all sets exist?  A generative view of infinite sets: Peano's N (1 gen), Cantor's 2^N (2 gen) 17'nov02  Re: Maximal commuting families of functions  Commuting functions : context = commut've semigroups. 17nov02  Re: Dijkstra's Quotes Considered Harmful  Not if you know the context: 'structured programming'. 3jun99  Re: what is intuition?  On "intuition" as a form of analogy, or 'isomorphism with experience'. 6nov02  Re: Cantor and Goldbach  Cantors 'uncountable B* for B>1 has little to do with Goldbach 21sep02  Re: What is so special about Fermat, save the wellknown facts, surely.  Anticlosure of x^p(+), etc. 27may98  Re: Tired light.  "All we know gets 'tired'." > Why are photons the only exception? (re Occams razor) 26may98  Tired light  sci.physics thread of 75 items on: Can a photon lose energy (by Planck E = h.nu > freq. nu decreases) 6sep02  Re: Einstein's worldwide fame 83 years  Red shift by Photon decay (by Michael Lewis: Guest on my homepg chello.nl) 15"aug02  Re: Kill file for ng?  Stout fellow! Full marks to you.  For our Dutch readers: "Stoute jongen!";) 15'aug02  Re: Kill file for ng?  Some critics focus on the smallest imperfections, ignoring everything else. 15aug02  Re: Is that all there is?  Maslow's hammer theory: why math is so useful... 13'aug02  Re: Is that all there is?  Teleology: the future pulls, vs. more common: the past pushes (deterministic) 13aug02  Re: Is that all there is?  Behavioural modes (as at birth): Greed + Ignorance (about the consequences) 2aug02  Re: Could the Goldbach conjecture be undecidable? Decidable > [T or F], Undec'le > [~T and ~F] : irrelevant 1'aug02  Re: The best 20th Cent. mathematician (vote here)  v.Neumann: 'wideband' math approach, + critique (E.T.Bell) 1aug02  Re: The best 20th Cent. mathematician (vote here)  Bourbaki's  and French  first ;) 31'july02  Re: Is there anything left yet to prove  The main problem is: formulating the right/important questions... 31july02  Re: JSH Science, math and fashion  don't you expect trouble with that cripple English language ? 30july02  Re: Euclid's axioms, where did they come?  Fedup to remember all thms, he decided to take a generative view... 30'july02  Re: base 10  A weak reason for hexcode: pi/4 = 1  2 x \sum 1/(16n^2 1), for n=1..inf 29"july02  Re: base 10  First base 60 (Sumerians) then base 12, and now base ten, and base 2 (CS) 29'july02  : Re: Could the Goldbach conjecture be undecidable?  No, there is no counterexample (proof at arXiv) 29july02  Re: The best 20th Cent. mathematician (vote here)  "NB is a work of fiction! "  Nota Bene: N. Bourbaki (math) > Reals = Fiction ! indeed 27july02  Re: The best 20th Cent. mathematician (vote here)  Claude Shannon (Boolean Alg. for Digital Ccts, + Infotheory) 26july02  Re: When mathematics and belief collide  'Sawtooth' evolutionary Law: Extremes increase, and then collapse (etc) 18'july02  Re: Natural Numbers are flippedover Reals  Each integer is finite =/= 10adic residue (mod 10^n, n>oo) 18july02  Re: JSH: What a waste.  Object Oriented Programming & OOMath (and Louis de Funes' soup;) 16july02  Re: Coolest thing in math?  Krishna's advice to Arjuna (qua motivation & result). 3dec98  Re:  Fermat's anticlosure n^p(+) as generator  BOOA constructor : Balanced ObjectOriented Algebra 11'jul02  Re: Memorization comes before understanding  Quotes Feynman: 't should be simple to explain... 11july02  Re: What was FLT?  On Fermat's marginal note: did he have a proof? Or just a (partial) clue... 10july02  Re: Memorization comes before understanding  'memory'=filterbank. "The Wholeness of Nature" (Henri Bortoft) 4july02  Re: Question about Cantor's diagonal proof  Uncountable nr. of strings A* over alphabet A iff A>1 3july02  Re: Representation theory  of groups (and other associative algebra's, like semigroups by matrices;) 2'july02  Re: logical reasoning for "proof by contradiction"  Boolean truth table: A > B == ~B > ~A 2july02  Re: Question about normality and number bases  Erdos/Graham conj. 1980: 2^n base 3 has digit 2, except n=2, 8. 27'jun02  Symmetry in binary code : Reals on [0,1] .vs. naturals N > 0 27jun02  Cantor & 'vanishing evidence' = Suspect finite intuition (one of w= Omega reals missing) 26"jun02  Int'l Conf. "Galileo Back in Italy  II"  Bologna, May 1999 (contra 'BigBang hypothesis') 26'jun02  Re: groups.yahoo / useyourbrain/message/34  BigBang doubts: a new movement (refs) 26jun02  Re: Interesting review of A New Kind of Science  Chaos Theory .vs. Digital Network Th = FSM's = (Finite) Semigroups 24jun02  Re: Do most mathematians denounce ANKOS?  Matrices : Linear Algebra / Semigroups : Cell Automata : Associative Alg : Function Compos'n 22jun02  Re: Interesting review of A New Kind of Science  Reviews S.Wolfram new book (1200 pgs) on cellular automata vs. physics. 19jun02  Re: Kadanoff on A New Kind of Science  Cell Automata = FSM network = Associative Algebra = Semigroups 18jun02  Re: Binary Maths.. . . . n = 2^k 1 and n^2 both have k ones (in binary code). 2apr02  Re: Semigroups of order n  FSM synthesis : my motivation for studying finite semigroups. 1'mar99  Re: Why the attack on Cantor ?  The 'set' of Reals : Potential vs. Completed infinity 1mar99  Re: Why the attack on Cantor's Theory?  Set theory is since Boole (1854), not Cantor (1880+). 27feb99  Re: Why the attack on Cantor's Theory?  Cantor's uncountable reals are just the strings over any binary alphabet. 6mar99  Re: Why the attack on Cantor's Theory?  Applied math & physics vs. pure math: a matter of taste. 5jun02  Re: What is an "algorithm"?  Only countably many of the uncountable reals can be specified ! 3june02  Re: The Economist reviews Wolfram  Cellular automata > Why not semigroups (assoc func netw)? 11jun02  Re: Einstein's worldwide fame 83 years  Hubblesatellite telescope looks deep space: full mix old/new! 30may02  Re: Einstein's worldwide fame 83 years  Ref to Steve Rado's work. 29'may02  Re: Einstein's worldwide fame 83 years  3 more points to consider . . . 29may02 
Re: Einstein's worldwide fame 83 years  5 points in favor of Light & photon dissipation (redshift)
28'may02  Re: Collatz Multiple Choice Placement Exam  Binary pattern 3(2^k 1) = 3(1s1) = 10s01, s = 1_string 28may02  Re: Z x Z_n  Endo(S) of semigroup S = A* as its 'generalized symmetries' = 'structure'. 7may02  Re: some people actually think math is more important than engineering  Discrete Math and EE (FSM Synth) 6may02  Re: are the Natural Numbers finiteintegers or are they padics  Residues vs. Naturals; Doubt on Wiles' FLT proof by Lseries 3may02  Re: Moral Superiority & illlusions  Re WW2, scientists, weapons research and human behaviour 2'may02  Re: Goldbach's Conjecture proved; padic proof thereof  Some history: nondiscussion on NMBRTHRY list. 2may02  Re: Goldbach's Conjecture proved; padic proof thereof  Nonsense: padics =/= naturals. 1'may02  Re: more NFB garbage  Pertti Lounesto ignores "revival the carry" (complementary to residues) 1may02  Re: more NFB garbage  Says Robin Chapman ;) 29apr02  Re: Can a^p + b^p == c^p mod p^k (odd prime p, 0< a,b,c< p)  Start at FST* (core mod p^2) to prove FLT: carries make the difference. 24'apr02  Re: How sure are theorems? (In reference to Pertti Lounesto)  On friend and foe, in sci.math 23!apr02  The Hypotenuse Fairy  ASCII art fairy. 23"apr02  Re: Case against mathematicians: Astronomy analogy  BigBang, Redshift & Lossy light propagation ('ether') 23'apr02  Re: Meaning of eigenvalues/vectors?  Own frequencies of a dynamic system 23apr02  Can a^p + b^p =/= c^p mod p^4 (odd prime p, 0< a,b,c< p)?  Basis of FLT (case1): carries make the difference 22'apr02  Re: This unintelligible Newsgroup....  What education do sci.mathers have ? 22apr02  Re: How sure are theorems?  Pertti Lounesto: never sure, one can only falsify. 17apr02  Re: Millionaire Mathematics  Natural Binary (Cantor) table: permuting rows yields diagonals all subsets of N. 16apr02  Re: Millionaire Mathematics  Continuum Hypothesis, and exponential growthrate of a set. 15'apr02  Re: Fermat 's Last Theorem"  Can (x+y)^p = x^p + y^p (mod p^2) extend to integers X=x, Y=y mod p^2 ? 15apr02  Re: Millionaire Mathematics  Anything that grows exponentially (like 2^n) is uncountable (for n>inf) 09'apr02  Re: sci.math a teaching tool?  On 0.999... = 1.0 and '...' as 'limit' concept. 09apr02  Why did Boole's propertycalculus become settheory?  Especially infinite sets require a generative specification! 08"apr02  Re: How to see the complex roots of a cubic polynomial  Not what you know, but its use counts. 08'apr02  Re: Is zero an even integer?  'Morons' on sci.math, and nitpickers : Mainline .vs. Detail 08apr02  Re: Mysticism of 666  Linear .vs. Quadratic approach to life. 02apr02  Re: Semigroups of order n  some personal motivations and history. 01apr02  Re: Semigroups of order n  NB: 'Chinese' carry thm  the complement of "Chinese remainder thm" 28mar02  Re: Question on Godel's incompleteness theorem  Continuum Hypothesis: on string sets A* and B* (A=1, B=2) 27mar02  Re: Origins of transfinite numbers  Old Greek and Indian "Quint Essence" (the 5 QE Basic elements of seq.logic) 25mar02  Re: Who will get the Fields medal in August ? (which Chinese?) . . . the remaining Chinese Carry Thm. 14mar02  Re: Fermat's Last Theorem  NB: mod p^{3k+1}  Breaking the Hensel lift by quadratic analysis (over mod p^k) 13mar02'  Re: Value Of A Sci.Math Post Proportional To Replies?  Natural law: Quantity x Quality = Constant. 13mar02  Re: Distribution of primes among values of polynomials  There's someting quadratic about the primes ... 12mar02  Re: Inverse Goldbach Conjecture  counterexample  on each Truth having its context : Math (mod axioms) [2] 11mar02  Re: JSH: Well, it's my stage.  A bit of history can't do harm (Fermat: residues mod p, Gauss, carry) 08mar02'  Re: Countability  countable set N, and uncountable sets (B_i)* with B_i= i>1 : 2^Z , Z! , Z^Z . 08mar02  Re: No infinite lists: a proof  well, not quite . . . it all depends. 07mar02'  NB: 'for all n' versus 'independent of n'  Sets vs. Properties 07mar02  Re: Discrete, continuous. It's all the same  Nearly but almost ;) On countable vs. uncountable. 04mar02  Re: JSH: FLT Proof is still a test.  How can Wiles' Lseries residue method yield integer FLT result? "NB: "Furthermore, regarding one of its corollaries: the truth of the FLT conjecture on the sum 01mar02  Re: Thanks  NB: Endo tower over Z_m(+)  On hiearchy (+) > (.) > (^) > ?? (mod m) 22feb02  Re: Goldbach's conjecture  Why is it so hard to prove ? [2]: and agreed symbolism. 21feb02  Re: Hey, what about base 1?  Cantor binary k x k table: Row permut's link powerset 2^k to sym.group S_k 19feb02  Re: unify all branches in math  and some math history. . . 15'feb02  Re: Problem with Cantor's diagonal argument (finite case)  Cantor Diagonal generates powerset 2^k by permutations 15feb02   Re: Problem with Cantor's diagonal argument (re finite case) A* = all strings over A : Uncountable iff A > 1. 14feb02  Re: Problem with Cantor's diagonal argument  Cantor: 'uncountable' for engineers, not reals but just strings... 13feb02  Re: [NFB] Benschopwatch  Primitve roots of 1 mod p^k, divisors r  (p +/1), and idempotents e^2==e mod p+/1 09feb02  Re: No Elementary proof of FLT in sight  Maybe via FST extension, and cubic roots of unity(mod p^k) 08feb02'  Re: A polynomial considered."  After Wiles' proof ('95), is an elementary direct proof of FLT still interesting? 08feb02  Re: On Mathematics and commonsense  . . . and the infinite (not really difficult to imagine;) 06feb02"  Re: Mathematics is made for the adventurous  Realist vs. Escapist, Commonsense vs. nosense 06feb02'  Re: Against angels and the FregeanCantorian Theory of Number  Why Peano's countable N ~ 2N : both have ONE generator (+1)* ~ (+2)* 06feb02  Re: Element is its own multiplicative inverse?  Euler: if a problem is *really* hard, generalize it! (to keep it simple) 31jan02  Re: What is isomorphism?  Isomorph = sameform: thus same structure, indepent of various representations. 29jan02'  Re: Question on FLT  In: a^p+b^p=c^p (FLT) take exponent p as base for residue cond'n (mod p^k)? 29jan02  Re: cranks vs. psychotics  Crank vs. 'expert' in a new field? (good intuition on what's missing) [2] 28jan02'  Re: Infinite integres?  Symmetry xxxxxx1.1xxxxxx (One is Always Halfway Anyway: AHA) padics vs. reals [0,1) 28jan02  Re: Looking for a wildcard. Prefer direct proof FLT_inequality over Wiles' "route over the North pole". 25jan02  Re: Definition of a group  On reversible processes, and associativity nec. for 'iteration'. 23jan02 
Re: What Ben Schopman does get about Number Theory  22jan02  Re: What Benschopman does get about Number Theory : a^p + b^p =/= (p^k1)^p mod p^{mk+1} for m=3. 21jan02  Re: What I dont get about Number Theory  Number representation in base p useful for pth powers, and FLT. 18jan02  Re: maths as empiric activity  On nitpicking ;) . . . 17jan02'  Fermat, Waring, Goldbach  Solve hard additive arithmetic problems via semigroups Z(.) mod m_k, and the 'carry'. 17jan02 == Symmetry is nice , but not without a pinch of Asymmetry! (on dissipation) 14nov01  Re: On Hawking's method of thinking  On intuition in maths 07oct01  Reasons to keep an open mind  An open mind is a joy forever. . [2] . . 01oct01 01oct01  Re: Why mathematicians had to be liars  The Hensel lift *can* be broken, for an FLT mod p^k equivalence. 26sep01  Re: Should we get rid of infinity and recursion?  On Boole's "Laws of Thought" (1854), and Spinoza 18sep01  Re: The thirst for Challenge  Fermat (1640), and the Cubic roots of 1 mod p^k 14sep01  Re: At my signal  Give them h.L!  On breaking the Hensel lift : in special case a^3 == 1 mod p^k 10sep01 
Re: why do you like math?  'Proof' is based on transitive closure.... of axioms: no 'news' 21jan01 == Re: miles, yards, feet, acres  Tradition vs. Modern & efficient. 19may00 == Re: Dear Nico B. (Not Benschop) & 5 BSM  'BOOA constructor' : Balanced Object Oriented Algebra 08oct99 ==
Re: Naturals N={1}* vs unNaturals 2^N={0,1}* (Peano/Cantor)  On Cantor's diagonal :
13nov98  Re: What's so special about 10^11 ?  Special meaning #42 (IChing): "Balanced Growth" = Essence of Life 06nov98 == Re: Primitive Root Question  and Fermat's Small Theorem n^p == n mod p (prime p, all n)

(c) N.F.Benschop (Amspade Research) 