Matt,
Interesting question re the differences between mathematics - i.e.
arithmetic, algebra - and logic vs language.
I haven't really thought about this, but I wouldn't call maths a language.
Maths consists of symbolic systems of quantification and schematic patterns
(geometry) which can only be applied to distinct entities - and is very
limited in its capacity to describe the world.
Language is vastly more general and abstract and actually not normally meant
to be reduced to distinct quantities, patterns or entities, or pinned down,
period, as maths is e,g.
"LIFE TAKES LOTS OF FORMS" ["life" is a supra-entity, "lots" a
supra-quantity, "form" a supra-pattern ]
ditto: MATT MAHONEY IS A PERSONALITY IN PROGRESS
Verbal statements like these aren't meant to be pinned down or definitively
defined - and beyond the reach of maths.
Language consists of open-ended classes; maths consists of closed-ended
classes. Only language has the capacity to comprehensively describe the
world. Maths is more of a sub-language than a true, full language.
Matt:
MW:"Pi is a normal number" is decidable by arithmetic
because each of the terms has meaning in arithmetic
Can it be expressed in purely mathematical terms/signs
without using language?
No, because mathematics is a language.
-------------------------------------------
agi
Archives: https://www.listbox.com/member/archive/303/=now
RSS Feed: https://www.listbox.com/member/archive/rss/303/
Modify Your Subscription:
https://www.listbox.com/member/?member_id=8660244&id_secret=117534816-b15a34
Powered by Listbox: http://www.listbox.com
