# Questions tagged [soft-question]

For questions whose answers can't be objectively evaluated as correct or incorrect, but which are still relevant to this site. Please be specific about what you are after.

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### Looking for connections between fields

warning: open ended question. I want to learn more about how topics in mathematics (especially group theory, graph theory, algebraic structures) connects different ideas that we use for systems ...
0answers
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### What is mathematics studying nowadays [on hold]

In studying the history of mathematics, I see that mathematicians tends to, trough times to times, walk in a certain direction, chasing a certain question that is of great importance for that age. ...
1answer
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### Classification of all “Big O equivalence classes”

Given functions $f$, $g$, $f = \Theta(g)$ defines an equivalence relation. The equivalence classes of this relation are intensively used in computer science. See for example https://en.wikipedia.org/...
0answers
50 views

### Logic is applied to describe what actualy Logic is?

Logic turns up in the sylabus later, one usually starts with linear algebra and analysis where one assumes the underlying logic to be given. I think the reason is because the study of logic already ...
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Suppose we have a theorem $X$ that is true for each $n \in \mathbb{N}$. In any rigorous mathematical proof of $X$ we will generalise for all such $n$, So we will say something like: Let $n \in \... 1answer 84 views ### Propositional Logic and Redundancy There are Philosophical problems with the Material conditional. The Dutch philosopher Emanuel Rutten has written an article about it, titled: Dissolving the Scandal of Propositional Logic? From that ... 6answers 499 views +50 ### Could *I* have come up with the definition of Compactness (and Connectedness)? Ok, buckle up for a rather long question. I've spent a large portion of today learning about compactness, stemming mainly from this wikipedia article about point-set topology. The article mentions ... 0answers 23 views ### Seeking name on common descriptive statistical measure. I recently took upon a job role where in part I have to make evaluations on how to price 2nd Hand Cars. There is a software (online based) that using a variety of very elementary descriptive ... 2answers 93 views ### Why do we want lots of$0\$’s in a matrix?

I am working thru Axler’s “Linear Algebra Done Right.” I am okay with the math, but I’m losing sight of the forest. Like all books on linear algebra, there’s a lot of time and energy spent on ...
9answers
8k views

### Why should I “believe in” weak solutions to PDEs?

This is a sort of soft-question to which I can't find any satisfactory answer. At heart, I feel I have some need for a robust and well-motivated formalism in mathematics, and my work in geometry ...
0answers
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### Exemples of applications of “groupoidification” to linear algebra

I just read Baez's very nice blog notes about groupoidification, and around the beginning, he states : "From all this, you should begin to vaguely see that starting from any sort of incidence ...
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### Math required for Economics

I'm looking for some math topics to learn about, with the aim of being able to get into some mathematical economics readings. I can always pick up a "math for economics" book, but I want to learn the ...
0answers
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### Elementary Differential Geometry before Manifolds?

Many courses called Differential Geometry (at least in Germany; at least as far as I know!) solely deal with manifolds and not classical/elementary Differential Geometry (curves, curvature, ...
2answers
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### Advice on how to read a mathematical paper [closed]

I am a 2nd year graduate student in Number Theory. My advisor has sent me papers to read and I have trouble getting through even a paper. Be warned that my problems may be noobish and borderline ...
0answers
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### Are Lebesgue integrals equivalent to Daniell integrals?

Please excuse me if this is a silly question. I graduated from university many years ago and am now trying to re-learn some mathematics. I don't know much advanced mathematics and I have difficulty to ...