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.
Are there tricks or strategies that the ordinary person can do to improve mathematical ability?
is there a logically sound argument claiming there is a causal relationship between entropy and incompleteness? — ucarr
The weird thing is I am fascinated by math. I have books and DVD's about math. I want to learn the language of math and I understand learning a language is one way to keep our mental powers as we age — Athena
In one of my sets of college lectures, the professor can talk about knots for at least an hour. — Athena
I gather that the numbers were down and have gone up since. I don't know why — Ludwig V
To be Christian, you need to believe that Jesus Christ is divine and died for us — Lionino
the set of all quantities is countable, as is the set of points on a number line. — hypericin
For example, the historian Ingeborg van Vugt has used this multi-layered approach to explore the different ways in which information circulated in the Republic of Letters, the long-distance intellectual community of the late 17th and 18th centuries in Europe and America. Such research allows us to better visualize how the Age of Enlightenment, driven forward by these intellectuals, developed. The next step could be to statistically model this network, and so be able to pursue her research question by integrating an even broader wealth of data.
A network model for studies in history of knowledge has to consider an unusually varied set of data. There is the data of a social nature concerned with people and organizations; that concerned with material aspects of history, such as the conservation life of a book; and the data that represent the actual knowledge, the content of the sources. These are three different levels of one and the same evolving network for which explanatory mathematical models have been rarely conceived and even less realized. From this perspective, history writing is even about to challenge applied statistics.
What if we did not use words, but communicated with math? I know mathematicians can do that, but what if from the beginning we all did? I am sure my IQ would be much higher if I could do that. And I wonderful how thinking in mathematical terms might change our emotional experience of life. — Athena