509,812 research outputs found
Fermat Reals - Nilpotent Infinitesimals and Infinite Dimensional Spaces
F.: Good morning Hermann, I would like to talk with you about infinitesimals.
G.: Tell me Pierre.
F.: I'm fed up of all these slanders about my attitude to be non rigorous, so
I've started to study nonstandard analysis (NSA) and synthetic differential
geometry (SDG).
G.: Yes, I've read something ...
F.: Ok, no problem about their rigour. But, when I've seen that the sine of
an infinite in NSA is infinitely near to a real number I was astonished: what
is the intuitive meaning of this number, if any? Then, I've seen that to work
in SDG I must learn to work in intuitionistic logic ... You know, I love
margins of books, and I don't want to loose too much time, I have many things
to do ...
G.: In SDG they also say that every infinitesimal is at the same time
positive and negative, what is the meaning of all these? And why does the
square of a first order infinitesimal equal zero, whereas the product of two
first order infinitesimals is not necessarily zero? And do you know that from
any single infinitesimal in NSA is possible to construct a non measurable set?
Without using the axiom of choice!
F.: Yes, I know, I know ... Ok, listen: why cannot we start from standard
real functions of one real variable and use ...
This work is the ideal continuation of this dialogue: a theory of actual
infinitesimals that do not need a background of formal logic to be understood,
with a clear intuitive meaning and with non trivial applications to
differential geometry of both finite and infinite dimensional spaces
He who gets slapped
Thesis (M.A.)--Boston Universit
THE SEXUAL ORIENTATION OF CELIE IN ALICE WALKER’S THE COLOR PURPLE
The objectives of this research are to reveal the factors that cause Celie to
become a lesbian and to describe Celie‟s homosexual identity development. The
researcher used sexual orientation, lesbianism and other related theories to answer
the formulated research questions.
The method used in this research is qualitative content analysis. The
subject of this research is a novel entitled The Color Purple by Walker. The data
are some phrases, clauses, and sentences related to the factors that cause Celie to
become a lesbian and process of Celie‟s homosexual identity development. The
key instrument of this research is the researcher herself employing sexual
orientation theory by Giddens and lesbianism theory by Rich as explained in the
conceptual framework. Sexual orientation and lesbianism are used as the grand
theories for the analysis. The indicators made are based on the employed theories
to gain the research data. To gain the trustworthiness, the researcher used data
triangulation technique by crosschecking the data with her consultants and other
researchers.
The findings of the research show two important points. First, the factors
that cause Celie to become a lesbian are psychological and social/environmental
factors. Second, Celie‟s homosexual identity development process covers four
stages: sensitization or emergence, identity confusion, identity assumptiopn and
first relationship
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