So you're saying that the way you defined "and" isn't A = A? — Skalidris
You defined it as: "the "and" operator is an attractor that puts multiple members into one set" — Skalidris
You used multiple to define it but multiple is just a step further from "and" (if you take one element AND another, you have MULTIPLE elements). — Skalidris
…(if you take one element AND another, you have MULTIPLE elements). — Skalidris
If A = B but the only meaningful way to define B (or an element within B) is B = A, it's the same as A = A. It's only meaningful in language, if you don't know the word for "and" and that someone tries to explain what that means, they can use words that you know that imply the concept "and", but that doesn't mean they've defined it in a meaningful way. — Skalidris
But if A is an element of C and that C= B∧A, defining A as C without B isn't meaningful. — Skalidris
No. I did not use "multiple" to define the conjunction operator. — ucarr
In other words, the "and" operator is an attractor that puts multiple members into one set — ucarr
Perhaps you'll argue that connecting is just the same as multiplying. They're related, but they're not identical. We can prove this by showing how 3+4 = 7, whereas 3x4 = 12. — ucarr
multiple | ˈməltəp(ə)l |
adjective
having or involving several parts, elements, or members — ucarr
The underlined part of your quote is incorrect. With A = B, you've set up an equation of the type:
5 = 2+3. This is not A = A, which could be 5 = 5, or 2+3 = 2+3. A and B, as your eye can see, are not identical, as the case with A = A. Stop conflating equivalent with identical. — ucarr
Does it make sense to go from there to saying bell pepper equals the pizza? — ucarr
you're saying a fundamental definition cannot be redefined usefully — ucarr
It's only useful if you don't know the word for A — Skalidris
If it’s best to insert 5 into one context, whereas it’s best to insert 2+3 into another context, then that stands as a minor example of usefully spinning a fundamental definition. — ucarr
No. I did not use "multiple" to define the conjunction operator. — ucarr
You did, you used multiple in the definition. If you only want to used attractor, when you define attractor, you'll still have two use a word similar to multiple, several, and, connect, which all contain the same essence that's fundamental and can't be defined... — Skalidris
...if you can't define/explain "and" with smaller parts it's made of, it creates the circularity, the self reference. — Skalidris
In other words, the "and" operator is an attractor that puts multiple members into one set — ucarr
In other words, the "and" operator is a connector that links multiple things that are to be taken jointly — ucarr
3x4 = 12 — ucarr
Multiple isn't the same as multiplying... Just as you said here. — Skalidris
...the problem I mentioned is when 5 can't be broken down into smaller units, smaller operations. — Skalidris
Bell pepper equals pizza (containing bell peppers) minus all the other elements. — Skalidris
...you're saying a fundamental definition cannot be broken down into subordinate parts — ucarr
You pour out your soul here and you're met with blank stares — Dominic Osborn
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