BillTre's latest activity

I kept my textbooks for decades because if I wanted to look something up there's no substitute for revisiting a page I learned from...

Invention is a process, not an event. There is no instant of time when an invention "comes into existence". You are trying to draw sharp...

No it is not. Its up to you to show how your claim applies to the more realistically observable cases you just agreed to. Making claims...

Seems like it is completely a human made up thing. It is not objective that this group existed as a group based on some footprints...

Seen on a T-shirt:

These have only been observed indirectly (fossil footprints). It would seem to be more concrete to discuss things that are more directly...

Then at least some prime numbers are discovered--those that appear, for example, in the time periods of cicadas.

I disagree. We conceptualize it in a particular way, but evolution does what it does whether humans conceptualize it or not, and what it...

I don't think your usage is consistent with others in this thread--they appear to me to be using "group" in the direct mathematical...

What about the ways prime numbers show up in "natural" settings? For example, there are 13-year and 17-year cicadas. It is not a...

How are you defining a natural group?

The counter argument is that group theory was "invented". And that, although symmetries appear in nature, the concept of mathematically...

What was only Imaginary until recently, now is Real. That is, now I=R. Hence, an anagram of PUTIN is TRUNP.

Now we get freezing rain: Nikon D810 + 55mm micro nikkor @ f/11, 3s ISO 200. I timed it to capture a car driving by. The water...