jgill

Seems like a peculiar use of the word "order".

Here is a quote from Reddit that brings some clarity to the subject of "truth" in mathematics these days: I'm an antique. Truth for me is associated w...

I'm done here. Sorry. Maybe another mathematician will appear.

True. All the polls up to that point mean very little. The whole environment changes.

Set consisting of three balls colored red, white and blue. They also have differing weights. What is THE order? Just curious.

Some time ago I mentioned time dilation in relativity theory in this regard.

It is a tad simplistic. But it is as far as I went in that direction in my career; as for infinity, I never quite reached it for it lay beyond bounds....

Why not go directly into 2D. If you stay away from the SB-tree and Niqui arithmetic I might linger a bit longer. Let's see. You might even tempt fishf...

Called the New Math in the USA. I can't even imagine this in grade one. I taught elements of it in college algebra courses in the 1970s - but not for ...

Some time back this thread shifted to the idea of starting math with continua and deriving points, rather than the other way around. MU has spoken of ...

Me too.

Perhaps the paper by Milad Niqui. In that case things may get technical and out of the realm of TPF. viz,

Does the axiom of identity mean Ludwig V = keystone ? Just curious. :smile:

HALFTIME COMMENTARY: For those viewers who might wonder if this thread analogizes everyday discussions in mathematics among its various practitioners,...

Unknown territory for me. No Wikipedia page I can find (among 26,000+), but perhaps it's under a different heading. You are full of surprises. Are you...

Each row of the tree involves medians, which require ratios of integers and arithmetic of these ratios. So, your top down approach always involves bot...

I've wondered about that. Thanks for illuminating.

You might think so from what I said, but he was young and pretty enthusiastic about teaching the subject. We had numerous worksheets that eventually l...

Not true. I published papers when I was active that never assumed infinity was actualized. Fryfish and I, sometime back, argued about the use of trans...

In my first semester as a grad math student I was required to take a course called Introduction to Graduate Mathematics. It was basically naive set th...

Three spatial dimensions, one time dimension. Spacetime. Don't try to make time into a fictitious part of space. But who really cares?

You can use that term, but only if you are more specific about "points on a line" and specify natural numbers or rational numbers corresponding to the...

No. If "the points on a line" correspond to integers or rational numbers, yes. Way too vague.

"principle of distinction between non-dimensional points on a line" does not specifically speak of natural numbers. Language play.

Real numbers are uncountable.

Guess not. That's OK, I never became a professional in the outdoor activity I alluded to. And I spent countless hours at it.

Although I don't agree there is a problem with "infinite divisibility", another procedure you might mention is described by Tannery's theorem, which c...

:up:

Were you a professional? Just curious.

I look forward to a breakthrough in your quest. But I am very old and have multiple medical conditions, so I may not be around. Smooth sailing, fellow...

I agree. I keep hoping for an interesting idea to appear, but so far there is nothing novel about the mathematics. If one studies existing mathematics...

For those in the profession who do not deal with transfinitisms and set theory or foundations it's likely they would agree. When I say that a sequence...

Click on "View History", then "Pageviews". It's a crude estimate of the popularity of a topic. For example, group theory gets 513 views per day and no...

I'll bet I've conjectured and proven over a hundred theorems, almost all involving convergence/divergence of sequences and series of one sort or anoth...

A lot of leadership and innovation reduces to being at the right place at the right time. I'm going to briefly describe my own experience, at the risk...

Would his SS protection be placed in his cell, also? :cool:

Still reading Royal Robbins - The American Climber by David Smart. Royal was a friend BITD.

Go to a Republican fundraiser and see what happens. Do not mention anything philosophical. Complement a young lady on her MAGA cap.

I recommend you move on to 2D. Just a thought.

Thomson's Lamp and similar supertasks can be placed in an alternate context simply by using time dilation. Assume the lamp goes on and off at incremen...

So, you replace pi with a tiny line segment whose length depends upon a computer. So, changing computer affects this small interval. I am one of those...

A point of clarity. Thanks. Calculus started with discrete, then moved to infinitesimal, then with technology back to discrete in some sense.

What is an isolated real number? Show us elementary calculus from the top down. I am curious.

:up:

What you are doing seems to me to be more metaphysics than mathematics. And that's OK. But without studying what is accepted mathematics you have a ro...

Pretty much sums up this thread.

It also demonstrates the difficulty of trying to do something original and noteworthy in mathematics. It's a very complicated game requiring persevera...

Thanks for introducing math topics that I was only barely aware of into the discussion. Good to learn something.

In fact, one could simulate the on/off lamp so that at a certain rate you would see what appears to be a constant light. Flashing 0 and 1 cards would ...

If one watches the lamp in a dark room, at some point it will appear to be on continuously.