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Law of identity
Posted: Mon Jun 12, 2023 5:25 pm
by ohkarmahd
(0=0)=(1=1)
0=1
doesn't 0=0 reduce to 1 because of double negation? like saying nothing is nothing
(A=A) = (-A=-A) reduces to A=A though, how does it reduce to A=-A?
it reduces to A=A like this:
(A=A) reduces to A
(-A=-A) reduces to A
So A=A?
-A=-A and A=A would be the same thing
Re: Law of identity
Posted: Fri Jul 21, 2023 12:12 pm
by alan1000
The Law of Identity does not enter into arithmetic; so, 0=0 and 1=1 merely state the obvious. But in no sense is 0=0 equivalent to 1=1, except in logical form, because 0 and 1 are different values.
The proposition (0=0)=1 has no intelligible meaning.
Re: Law of identity
Posted: Fri Jul 21, 2023 12:27 pm
by alan1000
Perhaps my first thought was a little terse.
The proposition (0=0)=1 "reduces" to the proposition 0=1, which is obviously incorrect. Are you perhaps confusing the statement of equivalence with the operation of division? Eg 2÷2=1.
Re: Law of identity
Posted: Mon Jan 01, 2024 6:55 am
by ohhkarmahd
alan1000 wrote: ↑Fri Jul 21, 2023 12:12 pm
The Law of Identity does not enter into arithmetic; so, 0=0 and 1=1 merely state the obvious. But in no sense is 0=0 equivalent to 1=1, except in logical form, because 0 and 1 are different values.
The proposition (0=0)=1 has no intelligible meaning.
0=0 is like saying 0 isn't equal to not-0, which is like saying not-0 is equal to not-0, which is like 1=1, because 1 isn't equal to 0 or 1 is equal to not-0, as you affirm. so 0=0 is like saying 1=1. So that makes you wrong?