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Identity as "A=" or Just "A is"
Posted: Mon Jul 05, 2021 9:24 pm
by Eodnhoj7
"A" is defined through its repetition through "=" in "A=A".
"=" is undefined except through "=(A)=" where "=" is defined through its repetition through "A". An example of this would be "equality results in equality".
The middle term allows for the repetition of one phenomenon through another with this repetition resulting in identity. However this repetition is the continuity of a singular phenomenon thus necessitating identity being grounded in its individual expression or singularness.
As such both "A" and "=" are define through their relations, with "A=A" and "=(A)=" being dependent upon eachother, thus reducing the truth value to "A=" or "A equals" or "A is". This reduction results from identity being strictly monadic in the respect it gains its identity through a singular expression or rather expression of its singularness. In simpler terms identity is expressed through its monadicity with this monadicity being grounded in its continuity through repetition.
Re: "A=" or Just "A is"
Posted: Mon Jul 05, 2021 9:26 pm
by Skepdick
Eodnhoj7 wrote: ↑Mon Jul 05, 2021 9:24 pm
"A" is defined through its repetition through "=" in "A=A".
"=" is undefined except through "=(A)=" where "=" is defined through its repetition through "A". An example of this would be "equality results in equality".
The middle term allows for the repetition of one phenomenon through another with this repetition resulting in identity. However this repetition is the continuity of a singular phenomenon thus necessitating identity being grounded in its individual expression or singularness.
As such both "A" and "=" are define through their relations, with "A=A" and "=(A)=" being dependent upon eachother, thus reducing the truth value to "A=" or "A equals" or "A is". This reduction results from identity being strictly monadic in the respect it gains its identity through a singular expression or rather expression of its singularness. In simpler terms identity is expressed through its monadicity with this monadicity being grounded in its continuity through repetition.
They are both relations.
=(A,A)
is(A,A)
=(is, =)
is(is, =)
=(=, =)
is(is, is)
Re: "A=" or Just "A is"
Posted: Mon Jul 05, 2021 9:49 pm
by Eodnhoj7
Skepdick wrote: ↑Mon Jul 05, 2021 9:26 pm
Eodnhoj7 wrote: ↑Mon Jul 05, 2021 9:24 pm
"A" is defined through its repetition through "=" in "A=A".
"=" is undefined except through "=(A)=" where "=" is defined through its repetition through "A". An example of this would be "equality results in equality".
The middle term allows for the repetition of one phenomenon through another with this repetition resulting in identity. However this repetition is the continuity of a singular phenomenon thus necessitating identity being grounded in its individual expression or singularness.
As such both "A" and "=" are define through their relations, with "A=A" and "=(A)=" being dependent upon eachother, thus reducing the truth value to "A=" or "A equals" or "A is". This reduction results from identity being strictly monadic in the respect it gains its identity through a singular expression or rather expression of its singularness. In simpler terms identity is expressed through its monadicity with this monadicity being grounded in its continuity through repetition.
They are both relations.
=(A,A)
is(A,A)
=(is, =)
is(is, =)
=(=, =)
is(is, is)
Yet these relations are embodied through a singularity of symbols, ie "A=" or "A is". All continuity through repetition necessitates the repetition as embodied through a singular symbol much in the same manner a series of lines are embodied under a singular line.
Re: Identity as "A=" or Just "A is"
Posted: Tue Feb 08, 2022 1:08 pm
by alan1000
"A" is defined through its repetition through "=" in "A=A".
No, I'm afraid that's toilet paper. A=A is merely a tautology, at best an assertion of the Law of Identity. In any meaningful mathematical sense, the definition of A is whatever it is.
Re: Identity as "A=" or Just "A is"
Posted: Tue Feb 08, 2022 2:11 pm
by Skepdick
alan1000 wrote: ↑Tue Feb 08, 2022 1:08 pm
"A" is defined through its repetition through "=" in "A=A".
No, I'm afraid that's toilet paper. A=A is merely a tautology, at best an assertion of the Law of Identity. In any meaningful mathematical sense, the definition of A is whatever it is.
Then the definition of "definition" is whatever it is. What is the definition of "definition"?
And I must insist. I don't mean a(ny) definition of "definition". I am asking for THE definition of "definition".
If the assertion of the "Law" of identity is defined as a tautology, then the assertion of the negation of the "Law" of identity can also be defined as a tautology.
- assert-negation-of-identity.png (30.47 KiB) Viewed 1061 times
Re: Identity as "A=" or Just "A is"
Posted: Tue Feb 08, 2022 5:09 pm
by RCSaunders
Eodnhoj7 wrote: ↑Mon Jul 05, 2021 9:24 pm
"A" is defined through its repetition through "=" in "A=A".
Except as a from of mathematical notation, "A" never, "equals," "A." "Equals," pertains only to quantity, a count or measurement, if, "A," is anything other than a number, there is no equality.
The correct logic is A
is A, not "=" A, and it means whatever existent A represents, it is that existent and no other, i.e. A is A and not B (the cat is the cat and not the dog or a tangerine), or any other existent.
You obviously have no idea what the logic is here.
Re: Identity as "A=" or Just "A is"
Posted: Thu Feb 10, 2022 1:48 am
by Eodnhoj7
RCSaunders wrote: ↑Tue Feb 08, 2022 5:09 pm
Eodnhoj7 wrote: ↑Mon Jul 05, 2021 9:24 pm
"A" is defined through its repetition through "=" in "A=A".
Except as a from of mathematical notation, "A" never, "equals," "A." "Equals," pertains only to quantity, a count or measurement, if, "A," is anything other than a number, there is no equality.
The correct logic is A
is A, not "=" A, and it means whatever existent A represents, it is that existent and no other, i.e. A is A and not B (the cat is the cat and not the dog or a tangerine), or any other existent.
You obviously have no idea what the logic is here.
Equals: "a person or thing considered to be the same as another in status or quality."
https://www.google.com/search?q=equals+ ... nt=gws-wiz
Re: Identity as "A=" or Just "A is"
Posted: Thu Feb 10, 2022 1:55 am
by Eodnhoj7
alan1000 wrote: ↑Tue Feb 08, 2022 1:08 pm
"A" is defined through its repetition through "=" in "A=A".
No, I'm afraid that's toilet paper. A=A is merely a tautology, at best an assertion of the Law of Identity. In any meaningful mathematical sense, the definition of A is whatever it is.
The law of identity is a tautology as well given (A=A)=(A=A).
As I said before identity of "A" is just "A=" or "A is" given "A=A" or "A=P" is dyadic, definition occurs through a singular event.