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| From | Jim Burns <james.g.burns@att.net> |
|---|---|
| Newsgroups | sci.math |
| Subject | Re: how |
| Date | 2024-06-18 20:45 -0400 |
| Organization | A noiseless patient Spider |
| Message-ID | <07d7daee-c963-4806-99f6-2f083df75aef@att.net> (permalink) |
| References | (12 earlier) <v4nf4k$6dmg$1@dont-email.me> <v4nfoo$6dmg$2@dont-email.me> <v4nqag$8qsv$1@dont-email.me> <e6e9f8a6-b9ce-4154-916a-0b3af224c413@att.net> <v4t1a1$1ieeo$2@dont-email.me> |
On 6/18/2024 6:21 PM, Chris M. Thomasson wrote: > On 6/17/2024 5:04 PM, Jim Burns wrote: >> On 6/16/2024 6:52 PM, Moebius wrote: >>> Am 16.06.2024 um 21:51 schrieb Moebius: >>>> To put it in simple words: >>>> /different/ means /not the same/. >> >> We ask >> what can we say (or not.say) about a and b >> if they are (or are.not) the same? > a = 5 elephants > > a = b > > b must equal 5 elephants. > However, if we add in something, say: > > a = 5 elephants > b = 5 cats > > a = b? > > Well, 5 = 5, but what they define is different... > > Is that what you are getting at? I might not have achieved the tone I was going for, which was "chatting semi.technically" instead of "obscure" and "mysterious". What I am getting at is that, when we introduce equality into a formal system, equality's axioms are something like EQ1. x=x EQ2. x=y ∧ P(x) ⇒ P(y) That is a way to say that a and b are "the same", in a way in which we can put to use building finite claim.sequences of only not.first.false. Finite claim.sequences of only not.first.false are only not.false. Sure, but that's not very useful to us if we can't make claims _about the things we want to explore_ Not every single time, but very, very often, describing the things we want to explore involves saying which things are the same and which things are different. _How_ do we say that? One answer is EQ1 and EQ2. > a = 5 elephants > b = 5 cats > a = b? In the physical sciences, the wrong units of measurement turn something into flaming nonsense. How many stone.barns.per.fortnight does it take to turn this light bulb on? So, I would say 5 elephants ≠ 5 cats But context matters. I would also say 5 mammals = 5 mammals I will courageously assert: it depends.
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Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-12 12:54 -0700
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Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-22 20:19 +0000
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-22 13:22 -0700
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Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-22 21:34 +0000
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-13 13:45 +0000
Re: how Jim Burns <james.g.burns@att.net> - 2024-06-13 08:22 -0400
Re: how Moebius <invalid@example.invalid> - 2024-06-13 14:50 +0200
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-13 14:39 +0000
Re: how Moebius <invalid@example.invalid> - 2024-06-13 16:53 +0200
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-13 15:07 +0000
Re: how Moebius <invalid@example.invalid> - 2024-06-13 17:23 +0200
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-13 14:28 +0000
Re: how Moebius <invalid@example.invalid> - 2024-06-13 16:40 +0200
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-13 15:01 +0000
Re: how Moebius <invalid@example.invalid> - 2024-06-13 17:09 +0200
Re: how Moebius <invalid@example.invalid> - 2024-06-13 17:35 +0200
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-10 15:38 -0700
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-10 15:39 -0700
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-10 13:44 +0000
Re: how Moebius <invalid@example.invalid> - 2024-06-10 15:58 +0200
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-10 15:33 -0700
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-10 15:37 -0700
Re: how Moebius <invalid@example.invalid> - 2024-06-11 00:47 +0200
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-10 15:49 -0700
Re: how Moebius <invalid@example.invalid> - 2024-06-11 01:09 +0200
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-10 16:15 -0700
Re: how Moebius <invalid@example.invalid> - 2024-06-11 03:28 +0200
Re: how Moebius <invalid@example.invalid> - 2024-06-11 03:41 +0200
Re: how Moebius <invalid@example.invalid> - 2024-06-11 03:43 +0200
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-11 12:31 -0700
Re: how Moebius <invalid@example.invalid> - 2024-06-12 01:33 +0200
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-10 16:20 -0700
Re: how Moebius <invalid@example.invalid> - 2024-06-11 01:28 +0200
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-10 16:54 -0700
Re: how Moebius <invalid@example.invalid> - 2024-06-11 03:07 +0200
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-11 12:41 -0700
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-11 12:43 -0700
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-11 13:00 -0700
Re: how Moebius <invalid@example.invalid> - 2024-06-12 01:24 +0200
Re: how FromTheRafters <FTR@nomail.afraid.org> - 2024-06-12 06:50 -0400
Re: how FromTheRafters <FTR@nomail.afraid.org> - 2024-06-12 06:49 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-10 13:33 +0000
Re: how Moebius <invalid@example.invalid> - 2024-06-10 16:03 +0200
Re: how Jim Burns <james.g.burns@att.net> - 2024-06-10 13:43 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-10 17:50 +0000
Re: how Moebius <invalid@example.invalid> - 2024-06-10 22:14 +0200
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-10 15:40 -0700
Re: how Moebius <invalid@example.invalid> - 2024-06-11 00:50 +0200
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-06 10:52 -0700
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-07 10:59 +0000
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-07 11:59 -0700
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-07 12:00 -0700
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-12 13:18 -0700
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-12 20:38 +0000
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-12 13:51 -0700
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-12 13:57 -0700
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-12 21:01 +0000
Re: how Moebius <invalid@example.invalid> - 2024-06-13 04:37 +0200
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-13 14:04 +0000
Re: how Moebius <invalid@example.invalid> - 2024-06-13 16:32 +0200
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-13 14:56 +0000
Re: how Moebius <invalid@example.invalid> - 2024-06-13 17:00 +0200
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-13 15:10 +0000
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-13 11:57 -0700
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-13 11:56 -0700
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-14 08:41 +0000
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-14 11:30 -0700
Re: how FromTheRafters <FTR@nomail.afraid.org> - 2024-06-14 17:21 -0400
Re: how Moebius <invalid@example.invalid> - 2024-06-14 23:42 +0200
Re: how Moebius <invalid@example.invalid> - 2024-06-14 23:43 +0200
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-16 14:21 +0000
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-16 12:05 -0700
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-16 12:11 -0700
Re: how Moebius <invalid@example.invalid> - 2024-06-16 21:41 +0200
Re: how Moebius <invalid@example.invalid> - 2024-06-16 21:51 +0200
Re: how Moebius <invalid@example.invalid> - 2024-06-17 00:52 +0200
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-16 17:11 -0700
Re: how Jim Burns <james.g.burns@att.net> - 2024-06-17 20:04 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-18 20:13 +0000
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-18 15:21 -0700
Re: how Moebius <invalid@example.invalid> - 2024-06-19 00:45 +0200
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-18 16:18 -0700
Re: how Moebius <invalid@example.invalid> - 2024-06-19 01:47 +0200
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-18 18:05 -0700
Re: how Moebius <invalid@example.invalid> - 2024-06-19 07:42 +0200
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-19 12:36 -0700
Re: how Jim Burns <james.g.burns@att.net> - 2024-06-18 20:45 -0400
Re: how Moebius <invalid@example.invalid> - 2024-06-19 02:56 +0200
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-18 18:02 -0700
Re: how (quantities and units, implicits and explicits, intensional and extensional) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-06-18 19:34 -0700
Re: how (quantities and units, implicits and explicits, intensional and extensional) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-06-18 20:58 -0700
Re: how (quantities and units, implicits and explicits, intensional and extensional) Jim Burns <james.g.burns@att.net> - 2024-06-19 12:43 -0400
Re: how (quantities and units, implicits and explicits, intensional and extensional) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-06-19 13:29 -0700
Re: how (quantities and units, implicits and explicits, intensional and extensional) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-06-19 17:32 -0700
Re: how (quantities and units, implicits and explicits, intensional and extensional) Jim Burns <james.g.burns@att.net> - 2024-06-20 12:47 -0400
Re: how (quantities and units, implicits and explicits, intensional and extensional) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-06-20 13:40 -0700
Re: how (quantities and units, implicits and explicits, intensional and extensional) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-06-20 18:27 -0700
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-16 17:13 -0700
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-17 21:19 +0000
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-12 20:58 +0000
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-12 14:03 -0700
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-12 14:04 -0700
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-13 10:48 +0000
Re: how Moebius <invalid@example.invalid> - 2024-06-13 14:28 +0200
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-13 14:31 +0000
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-13 11:53 -0700
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-14 08:40 +0000
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-14 11:30 -0700
Re: how Moebius <invalid@example.invalid> - 2024-06-14 22:43 +0200
Re: how FromTheRafters <FTR@nomail.afraid.org> - 2024-06-12 20:16 -0400
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-13 11:59 -0700
Re: how Moebius <invalid@example.invalid> - 2024-06-13 01:47 +0200
Re: how Moebius <invalid@example.invalid> - 2024-06-06 20:11 +0200
Re: how Moebius <invalid@example.invalid> - 2024-06-06 20:12 +0200
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-07 11:01 +0000
Re: how Moebius <invalid@example.invalid> - 2024-06-07 13:06 +0200
Re: how Moebius <invalid@example.invalid> - 2024-06-07 13:10 +0200
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-07 15:57 +0000
Re: how FromTheRafters <FTR@nomail.afraid.org> - 2024-06-07 13:32 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-07 19:15 +0000
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-07 12:27 -0700
Re: how FromTheRafters <FTR@nomail.afraid.org> - 2024-06-07 17:49 -0400
Re: how Moebius <invalid@example.invalid> - 2024-06-07 23:59 +0200
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-07 22:45 -0700
Re: how FromTheRafters <FTR@nomail.afraid.org> - 2024-06-08 07:33 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-06-08 16:23 +0000
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-06-10 19:00 -0700
Re: how Moebius <invalid@example.invalid> - 2024-06-07 23:54 +0200
Re: how Moebius <invalid@example.invalid> - 2024-06-05 22:59 +0200
Re: how Jim Burns <james.g.burns@att.net> - 2024-06-05 17:46 -0400
Re: how Moebius <invalid@example.invalid> - 2024-06-06 01:08 +0200
Re: how Moebius <invalid@example.invalid> - 2024-06-06 01:11 +0200
Re: how Moebius <invalid@example.invalid> - 2024-06-06 01:13 +0200
Re: how Moebius <invalid@example.invalid> - 2024-06-06 01:18 +0200
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