- Contemporary messages sorted: [ by date ] [ by thread ] [ by subject ] [ by author ] [ by messages with attachments ]

From: <marc.geddes.domain.name.hidden>

Date: Sun, 22 Apr 2007 06:35:48 -0000

An addendum on the highly intriguing diagram with the arrows

connecting three mathematical concepts: Formal Systems, Mathematical

Structures and Computations. I think you're definitely on to something

big with that intriguing diagram but you need to get it exactly right.

I don't believe that this is a complete classification of mathematical

concepts. What is missing are the concepts from probability theory:

things like Probability Distributions. Also (as I pointed out in my

last post), the term 'Mathematical Structures' should really be spit

in two: you could distinguish between specific Algebraic structures

and the most general structures from Category Theory. My own diagram

has SIX of those circles.

You've made some intriguing preliminary attempts to show the

relationships between the various mathematical concepts but I don't

think you've got them right yet. For instance (as I mentioned) I

think computations are special cases of formal systems. (*not*, as

you have in your diagram, special cases of mathematical structures).

I would be particualrly interested to hear what Bruno has to say about

that diagram and the nature of the relationship between the various

mathematical concepts.

--~--~---------~--~----~------------~-------~--~----~

You received this message because you are subscribed to the Google Groups "Everything List" group.

To post to this group, send email to everything-list.domain.name.hidden

To unsubscribe from this group, send email to everything-list-unsubscribe.domain.name.hidden

For more options, visit this group at http://groups.google.com/group/everything-list?hl=en

-~----------~----~----~----~------~----~------~--~---

Received on Sun Apr 22 2007 - 02:36:03 PDT

Date: Sun, 22 Apr 2007 06:35:48 -0000

An addendum on the highly intriguing diagram with the arrows

connecting three mathematical concepts: Formal Systems, Mathematical

Structures and Computations. I think you're definitely on to something

big with that intriguing diagram but you need to get it exactly right.

I don't believe that this is a complete classification of mathematical

concepts. What is missing are the concepts from probability theory:

things like Probability Distributions. Also (as I pointed out in my

last post), the term 'Mathematical Structures' should really be spit

in two: you could distinguish between specific Algebraic structures

and the most general structures from Category Theory. My own diagram

has SIX of those circles.

You've made some intriguing preliminary attempts to show the

relationships between the various mathematical concepts but I don't

think you've got them right yet. For instance (as I mentioned) I

think computations are special cases of formal systems. (*not*, as

you have in your diagram, special cases of mathematical structures).

I would be particualrly interested to hear what Bruno has to say about

that diagram and the nature of the relationship between the various

mathematical concepts.

--~--~---------~--~----~------------~-------~--~----~

You received this message because you are subscribed to the Google Groups "Everything List" group.

To post to this group, send email to everything-list.domain.name.hidden

To unsubscribe from this group, send email to everything-list-unsubscribe.domain.name.hidden

For more options, visit this group at http://groups.google.com/group/everything-list?hl=en

-~----------~----~----~----~------~----~------~--~---

Received on Sun Apr 22 2007 - 02:36:03 PDT

*
This archive was generated by hypermail 2.3.0
: Fri Feb 16 2018 - 13:20:13 PST
*