It works fine for me — Art48
My emotional involvement is because the Bible tells enormous lies about God — Art48
The validity of Christianity was once a philosophical topic. Are you saying it's been excluded from modern philosophy? — Art48
Continuous object: In 1D, the proposed fundamental objects are of two types: (1) open-ended curves, which are inherently continuous — keystone
And it is these ignorant people, the most uneducated, the most unimaginative, the most unthinking among us, who would make themselves the guides and leaders of us all; who would force their feeble and childish beliefs on us; who would invade our schools and libraries and homes. I personally resent it bitterly. — Art48
A continuum is a decomposition of a hyperspace module with sidewise-partitionable step-wise radii — TonesInDeepFreeze
"The standards society adopted" are largely unexamined. It is a card house of assumptions and I'm challenging a specific one — Benkei
Therefore, affirmative action or equal opportunity initiatives would be justified to help these individuals reach their potential — Benkei
This could mean adopting hiring practices that prioritize diversity, ensuring that supply chains are free from discrimination, and promoting workplace cultures that are inclusive and supportive of all employees. — Benkei
The entire point of q2<2 is to define that set without reference to irrationals. — fishfry
I did convince myself that if you take the rationals by themselves, you can define a topology by all the "open" intervals (p,q) with p and q rationa — fishfry
What is your point? What do you think? — I like sushi
Different issue I think — Benkei
I find the issue becomes more or less about what an individual can do and what others believe they should do — I like sushi
Assuming this statement is true, what do you think is its philosophical significance? — 180 Proof
Isn't the subconscious process deterministic? Doubts are not allowed in a deterministic system. — MoK
The subconscious process cannot resolve the conflict when we have doubt in a situation. That is true since the options are real when we have doubts and we don't have any reason to choose one option over another option — MoK
If I recall correctly, another poster mentioned point-free geometry. — keystone
Only a special infinity can subsume the whole of math — Gregory
As a complex analysis guy you use the hypothetical point at infinity of the Riemann sphere all the time, don't you? — fishfry
Well, the Zeno paradox certainly threatens mathematics, especially the continuum concept. — MoK
Anyway, the idea of someone, who doesn't understand that the set of natural numbers is not a member of itself, trying to grapple with how ultrafilters play into proving the existence of hyperreals is ridiculous — TonesInDeepFreeze
So the mid-20th century party is the one you joined? — Ludwig V
Do you agree with fishfry about what the party has become? — Ludwig V
The Democratic Party has changed significantly during its more than two centuries of existence. During the 19th century the party supported or tolerated slavery, and it opposed civil rights reforms after the American Civil War in order to retain the support of Southern voters. By the mid-20th century it had undergone a dramatic ideological realignment and reinvented itself as a party supporting organized labor, the civil rights of minorities, and progressive reform
Do you think you understand Wittgenstein? — Joshs
andOverall, Wittgenstein’s profundity lies in his ability to challenge and expand our understanding of how language functions and how it shapes our experience of the world. His insights continue to provoke thought and debate, making his contributions to philosophy both deep and enduring.
Wittgenstein's ideas have influenced various contemporary philosophers and mathematicians who are interested in the foundations of mathematics, the nature of mathematical truth, and the philosophy of language. While his impact is more philosophical than technical, it has contributed significantly to ongoing discussions about the nature and practice of mathematics.
I am not a fan of Wittgenstein's philosophy as it seems to make common sense notions into philosophical "strokes of genius" — schopenhauer1
(2) There are no set theory experts in this thread (or, to my knowledge, posting in this forum). — TonesInDeepFreeze
That is all right. You are enough good to teach me a few things in set theory. — MoK
In the portion of topology which deals with continuous curves and their properties, connectiveness is of great significance, for whatever else a continuous curve may be it is certainly a connected topological space.
Do you think the cannon was a protest or a celebration? Presumably, it didn't have a ball, but was loaded blank? — Ludwig V
The second law of thermodynamics leads directly to Gódel’s Incompleteness.
Perhaps l should look at dark: matter_energy through this lens — ucarr
Imagine a math space such that : 6+9 =/= 9+6; semi-symmetrical mirroring. — ucarr
I can't really talk about the Dems, but I have the impression that the Dems, back in the day, were an alliance of (mainly social) liberals and political left wingers — Ludwig V
During this period, the white-dominated Democratic Party maintained political control of the South. With whites controlling all the seats representing the total population of the South, they had a powerful voting bloc in Congress. The Republican Party—the "party of Lincoln" and the party to which most blacks had belonged—shrank to insignificance except in remote Unionist areas of Appalachia and the Ozarks as black voter registration was suppressed. The Republican lily-white movement also gained strength by excluding blacks. Until 1965, the "Solid South" was a one-party system under the white Democrats.
There doesn't seem to be anything about the races for the Senate and the House. But isn't it just as important as the Presidency? — Ludwig V
Do you really not understand what a domain of a function is? Or are you trolling me? — TonesInDeepFreeze
I am a retired physicist and my knowledge of mathematics is very rusty due to my age — MoK
E.g, one can simply define a "line" as referring to a filter, — sime
The really basic question is why there is no decent candidate on either side — Ludwig V
What do you think of the connection that Schlesinger makes between entropy and Godelian incompleteness in "Entropy, heat, and Gödel incompleteness" (2014)? — Tarskian
If the dynamics of a system becomes so complex that G¨odel incompleteness
prohibits a complete description of its dynamics, the necessary information
– to determine the dynamics – is fundamentally lost on a universal Turing
machine.