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Tue, Dec. 26th, 2006, 06:46 pm
mostconducive: What is Surjectivity? Superjectivity? and Subjectivity, mathematically?

From the Wikipedia page http://en.wikipedia.org/wiki/Surjection I find the definition of Surjection, Surjectivity, Superjectivity but it is in mathematical language I don't understand, all these symbols of 'functions' I don't get.

I take it to be pure or transcendental (abstract) objectivity, abstracting from Alfred North Whitehead's metaphysics, where the (perhaps now unfortunately outdated) term 'Superject' means object, to Whitehead, 'eternal object' (a Subject or 'subjective form' being process, I take the other to be the product.) Is the object, using the term superject, the 'product' as in multiplication?

Superjectivity, or surjectivity seems to me to have a very precise mathematical definition, just like the differences between injectivity and bijectivity, and subjectivity.

My question, precisely put, is whether there is a more precise definition of subjectivity and superjectivity (certainly the one is just as precise as the other) from mathematics?

What is Surjectivity? Superjectivity? and Subjectivity, mathematically?

Thu, Aug. 23rd, 2007 01:59 am (UTC)
earthyspirit

Comprehensibility of sets in terms of words means seeking the substantial meaning of individual alphabetic symbols, the LETTERS.

the morpheme in the words consistently is "ject" now as english has degenerated pejoratively ever since switching from latin, one will find it hard to find much on the morpheme "ject" unless they are willing to play set theory with words.

This means taking as many words containing the morpheme as possible, lining them up and looking at the patterns, the pointings of them, so in an effort to clarify, lets do a bit of that now.

eject - to..out - expel
[Middle English ejecten, from Latin eicere, eiect- : -, ex-, ex- + iacere, to throw; see ye- in Indo-European roots.]

object
deject
reject
abject
inject

OK I've seen enough as I've been studying language as a set theory for two years now, most in the last few months, the utilization of EX as the similar in the eject footnote shows that ject is a synonym for "OF".

ex from latin

ex-
pref.
1. Outside; out of; away from: exodontia.
2. Not; without: excaudate.
3. Former: ex-president.

[Middle English, from Old French, from Latin and Greek; see eghs in Indo-European roots.]

eghs as a stem for ex... interesting, haven't seen this before, have to dig into the old dictionary at home later on it, lets see what we can dig up tho still...

ENTRY: eghs
DEFINITION: Out. Oldest form *ehs, becoming *eghs in centum languages.

Most of humanities language has been befuddles by a lack of a set theory for the alphabet outside the scope of phonetics, people are taught to believe that the alphabet means sounds but in truth the mathematics of creation are embedded into the symbols.

Thu, Aug. 23rd, 2007 02:01 am (UTC)
earthyspirit

the entire language of humanity can be honed down to two simple concepts..

though once simplified they become relatively more complex..

"to" and "of"