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Is it worthwhile to argue with Cantorians about the weakness of their one-sided dogmatic theological and unneccessary matheology?
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WM
Nov 27, 2021, 5:18:48 AM11/27/21
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I think that it is worthwhile to argue with the Cantorians. The arguments presented by the non-Cantorians do not have to influence all of Cantorians: it is enough to influence just a few, even one or two. [B. Hale in "Cantor's perpetual fallacy", sci.math (28 Nov 1999)]
Fraenkel was not sure about the correctness of the proof of the Löwenheim-Skolem theorem, and he seems to have had difficulties in analysing the role of logic with sufficient rigour to understand Skolem's paradox {{while}} von Neumann instantly recognized the importance of the results, but he reacted with scepticism about the possibility of overcoming the weakness of axiomatizations they reveal. [H.-D. Ebbinghaus: "Ernst Zermelo: An approach to his life and work", Springer (2007) p. 200]
The adaptation of strong axioms of infinity is thus a theological venture, involving basic questions of belief concerning what is true about the universe. [A. Kanamori, M. Magidor: "The evolution of large cardinal axioms in set theory" in G.H. Müller und D.S. Scott (eds.): "Higher set theory", Springer, Berlin (1978) p. 104]
The clear understanding of formalism in mathematics has led to a rather fixed dogmatic position which reads: Mathematics is what can be done within axiomatic set theory using classical predicate logic. I call this doctrine the Grand Set Theoretic Foundation. [...] It is my contention that this Grand Set Theoretic Foundation is a mistakenly one-sided view of mathematics and also that its precursor doctrine (Dedekind cuts) was also one-sided. [...] Second, set theory is largely irrelevant to the practice of most mathematics. Most professional mathematicians never have occasion to use the Zermelo-Fraenkel axioms, while others do not even know them. [S. Mac Lane: "Mathematical models: A sketch for the philosophy of mathematics", The American Mathematical Monthly, Vol. 88,7 (1981) p. 467f]
A system of finite mathematics is proposed that has all of the power of classical mathematics. [S. Lavine: "Finite mathematics", Synthese 103,3 (1995) p. 389]
Regards, WM
Fraenkel was not sure about the correctness of the proof of the Löwenheim-Skolem theorem, and he seems to have had difficulties in analysing the role of logic with sufficient rigour to understand Skolem's paradox {{while}} von Neumann instantly recognized the importance of the results, but he reacted with scepticism about the possibility of overcoming the weakness of axiomatizations they reveal. [H.-D. Ebbinghaus: "Ernst Zermelo: An approach to his life and work", Springer (2007) p. 200]
The adaptation of strong axioms of infinity is thus a theological venture, involving basic questions of belief concerning what is true about the universe. [A. Kanamori, M. Magidor: "The evolution of large cardinal axioms in set theory" in G.H. Müller und D.S. Scott (eds.): "Higher set theory", Springer, Berlin (1978) p. 104]
The clear understanding of formalism in mathematics has led to a rather fixed dogmatic position which reads: Mathematics is what can be done within axiomatic set theory using classical predicate logic. I call this doctrine the Grand Set Theoretic Foundation. [...] It is my contention that this Grand Set Theoretic Foundation is a mistakenly one-sided view of mathematics and also that its precursor doctrine (Dedekind cuts) was also one-sided. [...] Second, set theory is largely irrelevant to the practice of most mathematics. Most professional mathematicians never have occasion to use the Zermelo-Fraenkel axioms, while others do not even know them. [S. Mac Lane: "Mathematical models: A sketch for the philosophy of mathematics", The American Mathematical Monthly, Vol. 88,7 (1981) p. 467f]
A system of finite mathematics is proposed that has all of the power of classical mathematics. [S. Lavine: "Finite mathematics", Synthese 103,3 (1995) p. 389]
Regards, WM
Mostowski Collapse
Nov 27, 2021, 5:57:40 AM11/27/21
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You sound like Dan-O-Matik, defending his own DC poop.
Only DC poop can be fixed, whereas your psychosis cannot be fixed.
Brigdare Doss
Nov 27, 2021, 2:15:51 PM11/27/21
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Mostowski Collapse wrote:
> You sound like Dan-O-Matik, defending his own DC poop.
> Only DC poop can be fixed, whereas your psychosis cannot be fixed.
You capitalists are so stupid, is it Omega or Omicron?? There are no
> You sound like Dan-O-Matik, defending his own DC poop.
> Only DC poop can be fixed, whereas your psychosis cannot be fixed.
"tests" for testing for Omegas, covid_19 and everything. Are you fucking
idiots? No covid_19 "virus" is ever isolated and proven to cause
illnesses. Why am I feeling you mathematicians are stupid??
Serg io
Nov 27, 2021, 3:44:30 PM11/27/21
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Mostowski Collapse
Nov 27, 2021, 3:45:39 PM11/27/21
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O-micron, synonym for micro penis.
The most impotent mutation ever.
The most impotent mutation ever.
Brigdare Doss
Nov 27, 2021, 3:50:13 PM11/27/21
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from the poorest country in europe, Ukraine. Just to say the least. And
now are promoting big_pharma, which use to be *strictly_illegal* in many
countries years ago. You could NOT come on TV and promote big_pharma. You
cretin.
Brigdare Doss
Nov 27, 2021, 7:08:27 PM11/27/21
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Mostowski Collapse wrote:
> O-micron, synonym for micro penis.The most impotent mutation ever.
the mostoske, the self declared imbecile in the world. Listen here, what
these *war_criminals* are saying, year 2008:
Bill Gates and Klaus Schwab discussed future public health goals at DAVOS
2008 https://www.bitchute.com/video/GhwhOBjYj1Wf/
bill gaytes: "population reduction (through vaccines) is a good thing"
go out and arrest them, mostoske.
> O-micron, synonym for micro penis.The most impotent mutation ever.
the mostoske, the self declared imbecile in the world. Listen here, what
these *war_criminals* are saying, year 2008:
Bill Gates and Klaus Schwab discussed future public health goals at DAVOS
2008 https://www.bitchute.com/video/GhwhOBjYj1Wf/
bill gaytes: "population reduction (through vaccines) is a good thing"
go out and arrest them, mostoske.
zelos...@gmail.com
Nov 29, 2021, 12:35:37 AM11/29/21
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