jgill

IMO, no. For example, 5i x 6i = -30. You lose multiplication and division.

Aren't we all, though! My lexicon grows by leaps and bounds from TPF. To justify an act is to appeal to some form of authority external to ones' self.

Where are those damn aliens? :groan:

This has got to be a record for a thread about what cannot be said. A Guinness World Record? Well done, ! :starstruck:

A Bit More Readable Version . . . It's a much more complicated subject than I had imagined.

Feynman's path integrals involve {{e}^{i\theta}} heavily and I suspect that the simple evaluation of products of terms like these: {{e}^{it}}\cdot {{e...

Hypotheses -> Conclusion The old CS adage, garbage in = garbage out. G'nite :smile:

Because the hypotheses are nonsense. You're just playing with math equations. But if it pleases you to do so by all means continue.

Thanks for the reference. At the end, the author adds:

This turns the whole conversation into probababble. :roll:

And you very well may be. My condolences. However, you may exist as only a possibility in another philosophical realm where the word "you" can mean an...

True enough, but the value of complex analysis lies far more in the concept of holomorphic (or analytic) functions, where differentiation is over area...

Many if not most arguments here are either straight-forward or fallacious (proving one's hypothesis, etc.) Be careful what you wish for. If you conjur...

Not that I know of. But I'm sure it's coming. :worry:

Jack, I meant my post to be humor - the line by Justice Potter Stewart in 1964 reverberates through time. For me, to try to pick apart acts of creativ...

Creativity is like pornography - you'll know it when you see it. :cool:

Here we can see a fallacy in popularized science. To make a concept more or less understandable to the general public such images are employed. "Curve...

Initially to see what mathematics ideas crop up in a philosophy crowd. That's been entertaining.

That's an easy one: IFF it is topologically equivalent to a doughnut.

What is the probability some aliens are here now AND they are homeless? P=1 (ask Gov. Abbott)

:ok: :cool:

I don't think inductive reasoning in its usual interpretation is appropriate in this comment. I am not arguing that since it works here and there in a...

Ineffable. See the appropriate thread for an explanation.

Like the Four Horsemen, leaving a trail of despair . . . :cry:

Sorry, good try, but an appreciation of creativity and discovery comes with involvement, not philosophical chatter.

Oh oh. Metaphysician Undercover might challenge that! :gasp:

At 85 not feeling bad means happy :cool:

I don't speak for formal logic. However, original research is normally required for a doctorate in math. The word "original" implies at least a small ...

This thinking is so shallow it sinks below wrong. :roll:

Depends on the definition of "thing". My thing may not be your thing, but anything is better than nothing. :cool:

More or less, although most math people give this question little thought. In my case, I was introduced to a notion years ago in my PhD studies. A lit...

In mathematics an infinite regression can have a "first cause". {{F}_{n}}(z)={{f}_{1}}\circ {{f}_{2}}\circ \cdots \circ {{f}_{n}}(z), n\to \infty z is...

What book?

I dread the day when mathematicians no longer produce and prove theorems, but rather attempt to interpret theorems and concepts generated by AI, some ...

Which is not matter, just a way to predict changes in matter, energy, etc. I keep bringing up my late Corgi, Jake, and his inability to understand alg...

He's always had my admiration for his military heroics. Now his "silence" speaks volumes.

I once had a Corgi named Jake. Although I tried teaching Jake elementary algebra, I don't think he ever got it. Nevertheless, he led an exemplary life...

I remain a tad mystified that issues straight out of medieval scholasticism keep cropping up. Especially when serious and worthwhile efforts are being...

In mathematics, an infinite regression can be thought of as an infinite composition of the form \underset{k=1}{\overset{n}{\mathop{\Re }}}\,{{f}_{k}}(...

Probably better not to use this archaic word. When I studied climatology at the U of Chi eons ago it was the post-graduate basket-weaving course in me...

Just what the world needs: more panic. That'll do it.

A bit of a stretch wouldn't you say? Even what is happening in one's own body is largely below the thresholds of consciousness. True enough.

Nice Works of Art. But I have no idea what you are talking about. :roll:

I doubt many think of schizophrenia unless it appears in their lives and becomes something with which they must cope, either personally or by acquaint...

An inquiring mind is a springboard to creativity.

Dependence, yes, we are already there. Without daily mild doses of ibuprofen my arthritis would become far less tolerable.

And that's a problem with any of these pieces. They are miniature versions of the tales the New Yorker started publishing many years ago: captivating ...

Don't give up the ship, mate ! At 1,000 posts all will be revealed. The difference between effable and ineffable is ineffable, or is it effable? I can...

As a way to cope with a number of situations, but rarely because of blood lust.

Like a day dream on pot. Lingering imagery. Not bad.