On 01 Jan 2018, at 00:22, Brent Meeker wrote:
On 12/31/2017 7:24 AM, Bruno Marchal wrote:
Hint: "1 + 2 + 3 + 4 + 5 + ... = -1/12" can make sense.
Only by redefining summation.
Yes, of course, but not in an arbitrary way: "making sense" means we
have a "reality", or "model", or "interpretation" which makes sense of
that sum. In this case the prime number behavior and its relation with
the Riemann zeta function and its unique analytical continuation.
Infinite sums are notoriously order dependent. It makes sense like
2+2=5 for extremely large values of 2.
No, that is a good pun, but only a pun. When Ramanujan sent his letter
for a post of mathematics in UK, he wrote that he was a very good
computer, as he found that 1+2+3+4+.. .= -1/12. That made it possible
for a serious mathematician to suspect the sender to be a talented
computer, if not a genius. That will not work for 2+2=5, even with the
explanation that you compute this only for the extremely large values
of 2.
I see you come back with your idea that mathematics is concerned only
with fiction, but that is coherent only if you assume something else
to be real, like matter, but then you beg the question of the mind-
body problem again. But then, my point is only that mechanism is
testable, and it provides a "new" interpretation of QM, including a
rather simple explanation where the wave itself comes from, but that
remains to be confirmed at infinitum, like any theory in physics.
I do understand that it is counter-intuitive. Doubly so in our
"aristotelian era".
Mechanism is no threat on the physical science. Mechanism is only a
threat to the metaphysics forbidding the physical laws to be reducible
to something non physical.
What happen is that with the computationalist theory of mind, it is
easier to explain the illusion of matter to a relative number:state in
arithmetic, than consciousness to a piece of primary matter (not yet
seen by anybody).
A real lover of primary matter should love the theories S4Grz1, Z1*
and X1*, because they are pointing on experiment capable of detecting
it. Until today, it did not. But tomorrow? Nobody knows.
Bell (and CHSH, and Aspect, ...) illustrated that EPR was not just
"philosophy/opinion". Similarly, the mathematical theories S4Grz1,
Z1* and X1* illustrate that the mind-body problem is not just
"philosophy/opinion" either.
Bruno
Brent
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