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Cantor's Infinities:     more detail

Satan, Cantor, and Infinity: And Other Mind-Boggling Puzzles by Raymond Smullyan, November, 1992 Satan, Cantor & Infinity by Smullyam, June, 1994 Satan, Cantor, and Infinity: And Other Mind-Boggling Puzzles by Raymond Smullyan, November, 1992 Satan, Cantor & Infinity by Smullyam, June, 1994

21. Math Department
    of Babylon, the harmonies of Pythagoras, Zeno's Paradoxes, Aristotle's logic, Kepler'sVisions, Newton's clockwork, cantor's infinities, Einstein's railway  
    http://www.saintanns.k12.ny.us/depart/math/mathcourses.html

22. Ziring Book Review Pages - Current
    Some of the other topics covered in less depth include Turing machines, Post productionsystems, cantor's infinities, NPcompleteness, Maxwell's demon, neural  
    http://users.erols.com/ziring/bookrev.htm

23. Mathematics Emperor's New Clothes.
    Not until the late twentieth century did Cohen prove the relationship betweencantor's infinities and the Axiom of Choice. So what's the big deal?  
    http://www.netautopsy.org/jharempr.htm

24. Newsletter On Proof
    the properties of the prime numbers and the difficulty of finding primes FamousParadoxes Zeno's Paradox and cantor's infinities - The Problem of Points  
    http://www-didactique.imag.fr/preuve/Newsletter/981112.html

25. Physics Forums - The Premier Science And Technology Community
    infinite sum cantor's infinities refer to the infiniteseries ofa finite number. Ie, Cantor's math refer to a closed-set. However  
    http://www.physicsforums.com/topic.asp?TOPIC_ID=5743&ARCHIVE=

26. Cosmos In Science And Religion
    20th Century Science and the new Encounter Mathematics and Physics of the20th Century. cantor's infinities, Godel's theorem. Quantum Mechanics.  
    http://diacentro.physics.auth.gr/eng/eng_topics.html

27. [FOM] As To Strict Definitions Of Potential And Actual Infinities.
    well as modern 'nonnaive') set theory is based on cantor's theorem on previous message As to strict definitions of potential and actual infinities (see FOM  
    http://www.cs.nyu.edu/pipermail/fom/2003-January/006173.html

28. [FOM] As To Strict Definitions Of Potential And Actual Infinities.
    binary, sequences are = potential in Aristotle's sense then the cantor's theoremon strict definitions of the concepts of the potential and actual infinities.  
    http://www.cs.nyu.edu/pipermail/fom/2002-December/006121.html

29. Cantor's Diagonal Argument
    The great granddaddy of diagonal arguments is cantor's, which proved thatsome infinities are bigger than others. cantor's Diagonal Argument.  
    http://www.chaos.org.uk/~eddy/math/diagonal.html

30. Re: Infinities
    There is a greater immediacy of completed infinities in cantor's application forthe uncountability of the real numbers; but natural number arithmeticas, for  
    http://hhobel.phl.univie.ac.at/phlo/199707/msg00192.html

31. Re: "completed Infinite"
    You then responded, complicating the issue by saying that cantor's diagonal isn't isalgorithmic and the use of completed infinities introduces ambiguities.  
    http://hhobel.phl.univie.ac.at/phlo/200009/msg00054.html

32. Deterministic Chaos: Mandelbrot's Fractal Dimensions Are Not Special Species Of
    next 10 cantor's schizophrenic infinities A reminder of the wayfor generating numbers according to set theory. A reminder of  
    http://pro.wanadoo.fr/quatuor/mathematics.htm

33. Ecclectica - Aleph
    However, Cantor reasoned that Kronecker would only read the title and abstract,looking for some mention of cantor's objectionable infinities.  
    http://www.ecclectica.ca/issues/2002/1/williams.asp

34. 10 Fatal Mistakes Of The Cantor's Proof
    2) The cantor's proof itself is not a reductio ad absurdum proof, but it metamathematiciansand symbolic logicians to talk about that infinities are different  
    http://www.com2com.ru/alexzen/papers/Cantor/10_mistakes.html

35. Guestbook
    understanding of the fundamental distinction between countable and uncountable infinities ,but not from a critical logical analysis of the cantor's proof .  
    http://www.com2com.ru/alexzen/guestbook/guestbook.html

36. Archimedes Plutonium
    Thus in this fashion any and every Real becomes a flipped over adic. Each correspondoneto-one. There, cantor's orders of infinities disappear forever.  
    http://www.newphys.se/elektromagnum/physics/LudwigPlutonium/File118.html

37. Infinity And Infinities
    Infinity and infinities. One of the amazing consequences of cantor's work is thatit proves the existence of a class of real numbers which previously had been  
    http://www.gap-system.org/~john/analysis/Lectures/L4.html

38. Proof Of Infinities
    Proof That Not All infinities Are The Same Size. cantor's first proof is complicated,but his second is much nicer and is the standard proof today.  
    http://math.bu.edu/INDIVIDUAL/jeffs/cantor-proof.html

39. [math-ph/9909033] Infinities In Physics And Transfinite Numbers In Mathematics
    Upon examining these examples in the context of infinities from cantor's theoryof transfinite numbers, the only known mathematical theory of infinities, we  
    http://arxiv.org/abs/math-ph/9909033

40. Mediev-L: Re: Different Infinities
    Re Different infinities. the real numbers) cannot be put into oneto-one correspondencewith the natural numbers, so there are, in cantor's sense, more real  
    http://www.ku.edu/~medieval/melcher/matthias/t98/0060.html

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