jgill

Where I taught we had a huge wooden slide rule about 6 feet long that would hang over the blackboard and used to teach slide rule magic.

Yes, usually it is inherited from the usual topology on the reals. But ignoring the non-reals seems OK. Looks like it is connected as well. But not a ...

Yes, not quite what the OP is all about. This is an example of the sort of legal issue that might ensue upon the death of the wage earner, in which a ...

Two men are friends over a long period of time. #one has a regular job that provides a decent retirement plan. #two is artistic but has little interes...

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For me, the word "doubt" applies to a conscious state, not a subconscious state.

I think it is good you are getting back into the discussion. Who knows what might come out of this thread? My only reservation - and ignore if you lik...

I don't believe we are aware of all the information that enters our mind. If that is the case what the subconscious processes may indeed inform us - i...

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Instead of points one works with lattices of open sets. I don't see this as improving the intuitive understanding of continua. Continuity in elementar...

You are traveling through a maze and reach a fork. Here you experience a maximum degree of doubt (uncertainty), and the consequences of making a wrong...

This sounds more theological than math foundational.

Only on rare occasion. Normally, Infinity for me means unbounded. I don't work on the Riemann sphere. Yes, projective stuff is there in the background...

If only the standard analysis of the reals had been discussed, with infinity not a member and infinitesimals not (re)introduced, perhaps things would ...

Oh please :roll: While the word "continuum" is everywhere on this thread, what is really the heart of the subject is "connectedness" of sets. And the ...

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I probably registered as Democrat when I voted for JFK. I didn't give it any thought at the time. LBJ began his political life in the Senate staunchly...

From Britannica: In a nutshell.

From ChatGPT: and I admit, it's been sixty years since I have read anything by the man. At the time I was most interested in his impact on mathematics...

Ditto. A war hero, yes. Otherwise my eyes glaze over quickly. Early in my mathematical career I tried reading him but found little to interest me.

Yes, and are quite knowledgable in this regard. I never studied anything beyond naive set theory and I have appreciated reading their posts, both inst...

There were several Civil War cannons on the lawn of the old armory where the ROTC had made its home since before that conflict. I'm certain one fired ...

More or less. Here is where you find reference to the term.

And off he goes, where he is led nobody knows. :smile: A non-commutative operation. Lots of them in math. For example, function composition in general...

Far from it. I grew up in a segregated South and the Democratic party supported that. Political winds finally shifted during the 1960s. From Wiki: I w...

I'll intrude if you don't mind. The answer is yes, indeed. Here in southern Colorado our representative to the House, Two Gun Lauren Boebert, has move...

Does make one wonder, doesn't it? :roll:

Don't feel bad. I"m a very old retired mathematician and have had to look up filter trying to understand @sime 's comments.

Hmmm. Care to explain? (I recall having difficulty with filters, ultra filters, etc. in grad school a half century ago. I only encountered them in pas...

Driving the other day a car revs up behind me while I am going a little over the speed limit, then barrels around me into the oncoming lane on a curve...

Interesting observation. I'm not sure it takes G-incompleteness to reach this point. Dynamical system structures may be just too complex to handle wit...

Devlin knows a lot more about this than me, but In all my years I haven't witnessed any kind of improvement that hasn't come from simply picking up an...

Possibly between entropy and incompleteness in its more traditional meaning. Not with the math variety.

Too much of a stretch for my declining imagination.

You might not be aware that the infamous western gunman, John Wesley Hardin, when in prison worked his way through an algebra textbook. He also became...

It appears all you have shown is the distance between consecutive means tends to zero. The last sentence is a little weird. The previous sentence says...

Surge the border This might be a clue. I am enjoying the discussion by the two of you. Better by far than what is found on the visible pages.

Sorry to hear of the COVID. Get well. :smile:

Unitarian Christians?

Not so, my friend, if we speak of the real number line. This has been chewed on on this forum until there is little left to be said.

Paywall. I'm surprised people still go to movie houses to see a film. If one categorizes and focuses on westerns, for example, I suspect the Clint Eas...

Here is an excerpt from a Max Planck Institute article : A dynamical systems approach is an enormous elaboration of the simple notion of composition o...

I suppose I am still a Christian, though I have not been to church for a long, long time. Thinking of Jesus as a man makes no difference. His teaching...

Interesting idea. Logicians might be able to do this, but math people use words and symbols. I have never heard of a math research paper written in ma...

Pretty much the case in mathematics. One result is that even competent referees skim over details too often, especially if the author is a respected a...

Interesting reference. A parabolic fractional distribution is a little obscure with the Wiki page getting only 7 views per day.

Thanks for the info. :cool:

The nearby city of Pueblo (111,000) was given a government grant to re designate several two way streets into one way with a bike lane. For the past s...

It is not a popular function of "pure" mathematics to delve into these issues. For example, arXiv.org lists the number of math papers submitted in thi...

Interesting comments. For me, much stems from density of life. My daughter lives in Brooklyn in an area having roughly 36,000 inhabitants per square m...