Group theory. --- Frank C. Wimberly 140 Calle Ojo Feliz, Santa Fe, NM 87505
505 670-9918 Santa Fe, NM On Fri, Sep 3, 2021, 11:25 AM <thompnicks...@gmail.com> wrote: > By discovery, I mean only happening on a regularity that was unexpected. > > > > I guess I didn’t need all the razzle-dazzle about the t-shirts. Let’s say > that I, being totally naïve of logic, announced to friam that I had made a > survey of all my never-married male friends and each and every one claimed > to be a bachelor. I offered to you-all, as an insight, that all unmarried > men are bachelors. I think I have made that “discovery” empirically; you > might have arrived at the same insight logically. Perhaps the empirical vs > mathematical thing is methodological. Of course, I now realize that > inorder to arrive at my empirical conclusion, I had to invoke the logical > form, induction: this man is un-married, this man is a batchelor, all > batchelors are unmarried. You might have arrived at the same conclusion > deductively (i.e., mathematically). > > > > Nick Thompson > > thompnicks...@gmail.com > > https://wordpress.clarku.edu/nthompson/ > > > > *From:* Friam <friam-boun...@redfish.com> *On Behalf Of *Pieter Steenekamp > *Sent:* Friday, September 3, 2021 12:48 PM > *To:* The Friday Morning Applied Complexity Coffee Group < > friam@redfish.com> > *Subject:* Re: [FRIAM] Can empirical discoveries be mathematical? > > > > Nick, > > I quote from https://www.britannica.com/science/scientific-theory > > "In attempting to explain objects and events, the scientist employs (1) > careful observation or experiments, (2) reports of regularities, and (3) > systematic explanatory schemes (theories). The statements of regularities, > if accurate, may be taken as empirical laws expressing continuing > relationships among the objects or characteristics observed." > > Based on this, I reckon, because you have reported the regularities, you > have discovered an empirical scientific law. Congratulations! > > Next is to systematically explain it, then you have a scientific theory! > > Maybe I did not answer your question? You asked if this is an empirical > discovery or a mathematical one. > > > IMO you have done only the first part, the empirical discovery. This could > now be taken further and if you can prove it using formal mathematics, then > only can you claim you have made a mathematical discovery. So, it is (not > yet) a mathematical discovery. Sorry to blow your bubble. > > P > > > > On Fri, 3 Sept 2021 at 17:24, <thompnicks...@gmail.com> wrote: > > Colleagues, > > > > Years ago, my daughter, who knows I hate to shop, bought me a bunch of > plain T-shirts. The label’s on the shirts were printed, rather than > attached, and so have faded. Each morning, this leaves me with the problem > of decerning which is the front and which the back of the shirt, and even, > which the inside and which the out-. After years of fussing with these > shirts I decerned a pattern. Up/down, inside-in/inside-out, left/right, > front/back, crossed arms/uncrossed arms, you can’t do one transformation > without doing at least one other. > > > > Is this an empirical discovery or a mathematical one? > > > > I guess it boils down to whether “front/back” entails in its meaning > another transformation. Should we call empirical discoveries > “discoveries” and mathematical discoveries “revelations”? > > > > Nick > > > > Nick Thompson > > thompnicks...@gmail.com > > https://wordpress.clarku.edu/nthompson/ > > > > - .... . -..-. . -. -.. -..-. .. ... -..-. .... . .-. . > FRIAM Applied Complexity Group listserv > Zoom Fridays 9:30a-12p Mtn GMT-6 bit.ly/virtualfriam > un/subscribe http://redfish.com/mailman/listinfo/friam_redfish.com > FRIAM-COMIC http://friam-comic.blogspot.com/ > archives: http://friam.471366.n2.nabble.com/ > > - .... . -..-. . -. -.. -..-. .. ... -..-. .... . .-. . > FRIAM Applied Complexity Group listserv > Zoom Fridays 9:30a-12p Mtn GMT-6 bit.ly/virtualfriam > un/subscribe http://redfish.com/mailman/listinfo/friam_redfish.com > FRIAM-COMIC http://friam-comic.blogspot.com/ > archives: http://friam.471366.n2.nabble.com/ >
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